异质结构软磁材料的高频磁特性研究
|
摘要
本博十论文针对目前高频软磁材料领域如何提高磁导率和使用截止频率这一重大科学问题,以异质结构软磁材料为主要研究对象,从高频软磁材料理论基础出发,开展了颗粒尺寸分布对磁导率影响、高频磁性测试方法、多层膜异质结构、纳米球壳和纳米环异质结构、FeCo-NiZn铁氧体异质结构复合颗粒膜等方面的研究,得到的主要创新性结果如下：
1.改进了Herzer的随机各向异性模型。考虑了颗粒尺寸分布对材料磁导率、矫顽力等的影响,对Herzer模型的理论表达式进行了修正。使得Herzer模型可以在全尺寸范围更好的符合实验结果；提出了颗粒尺寸分布在研究颗粒磁性材料特性时的重要性。
2.发展了一种利用高频测试手段测量材料磁性参数的方法。该方法避免了在确定薄膜材料饱和磁化强度时薄膜厚度测量带来的误差,在确定材料饱和磁化强度方面具有更高的精度。该方法同样在研究难轴的磁化反磁化过程时具有更高的精度。
3.提出了一种利用多层膜中层调控材料高频磁特性的方法。利用层间相互作用和层间距的关系,通过改变多层膜材料的中间层厚度,实现了多层膜材料的高频磁导率(21-894)、共振频率(1.4-6.5GHz)和面内单轴各向异性场(12-520Oe)在大范围内可随意调控。
4.提出了一种利用界面各向异性提高多层膜材料的Snoek的方法。通过引入界面各向异性,改善了多层膜内的双各向异性系统能量分布,从而在不影响材料磁导率的情况下大幅度的提高了材料的使用截止频率
5.给出了另外一些具有高Snoek极限的系统—纳米管和纳米球壳。通过微磁学模拟证明,在纳米管和纳米球壳中通过改变材料的几何参数可以实现双各向异性系统,从而提高材料的Snoek极限数值。
6.得到了一种同时具有高电阻率和优异高频磁性的CoFe-NiZn铁氧体双磁性复合颗粒膜。通过掺杂NiZn铁氧体磁性电介质相提高了材料的电阻率(>1000μΩ cm),并且可以同时保证材料具有高饱和磁化强度(>10kGs)和高的共振频率(2.88GHz)。
In this PhD thesis, we mainly study the topics on increasing the high frequency permeability and the using band by using the heterostructure magnetic materials. We mainly study the effects of grain size distribution on permeability of magnetic materials; study the magnetization reversal process of the magnetization of soft magnetic materials with dynamic method; study the high frequency properties in multilayers; study the high frequency properties in nanoshell and nanotube; study the high frequency properties of FeCo-NiZn ferrite bi-magnetic phase granular thin films.
The major finding and innovations are shown as follow:
1. Improvement of random anisotropy model. By introducing the distribution, the revised RAM model with grain size distribution can be well fitting with the real magnetic system. It indicate that the grain size distribution play an important role in the study of the magnetic material characteristics of the particle system.
2. Development of a method to measure the parameters of magnetic materials with high frequency measurement. When measuring the saturation magnetization of thin film, this method can avoids the error during the film thickness measurement. This method is also useful to study the magnetization reversal process of hard-axis with greater accuracy.
3. Adjust the high frequency properties by changing the interlayer interaction in multilayers. We change the interlayer interaction by controlling the thickness of the nonmagnetic interlayer thickness. The high-frequency magnetic permeability (21-894), the resonance frequency (1.4-6.5GHz) and in-plane uniaxial anisotropic field (12-520Oe) can be adjusted in wide range.
4. Improve the Snoek's limit in multilayers. With the interface anisotropy changing in multilayers, the energy distribution should be changed in such bi-anisotropic system. Then, the resonance frequency can be increased but do not reduce the permeability.
5. Nanotube and nanoshell with high Snoek's limit. With micromagnetic simulation, the Snoek's limit can be enlarged because of the bi-anisotropy. The permeability and resonance frequency can be adjusted by changing the geometrical parameters.
6. Obtained such CoFe-NiZn ferrite bi magnetic granular thin films with both high resistivity and excellent high frequency magnetic properties. With NiZn ferrite doping, the resistivity (>1000μΩ cm) can be enlarged, simultaneously, we can also obtain high saturation magnetization (>10kGs), and high resonant frequency (2.88GHz).
1.改进了Herzer的随机各向异性模型。考虑了颗粒尺寸分布对材料磁导率、矫顽力等的影响,对Herzer模型的理论表达式进行了修正。使得Herzer模型可以在全尺寸范围更好的符合实验结果；提出了颗粒尺寸分布在研究颗粒磁性材料特性时的重要性。
2.发展了一种利用高频测试手段测量材料磁性参数的方法。该方法避免了在确定薄膜材料饱和磁化强度时薄膜厚度测量带来的误差,在确定材料饱和磁化强度方面具有更高的精度。该方法同样在研究难轴的磁化反磁化过程时具有更高的精度。
3.提出了一种利用多层膜中层调控材料高频磁特性的方法。利用层间相互作用和层间距的关系,通过改变多层膜材料的中间层厚度,实现了多层膜材料的高频磁导率(21-894)、共振频率(1.4-6.5GHz)和面内单轴各向异性场(12-520Oe)在大范围内可随意调控。
4.提出了一种利用界面各向异性提高多层膜材料的Snoek的方法。通过引入界面各向异性,改善了多层膜内的双各向异性系统能量分布,从而在不影响材料磁导率的情况下大幅度的提高了材料的使用截止频率
5.给出了另外一些具有高Snoek极限的系统—纳米管和纳米球壳。通过微磁学模拟证明,在纳米管和纳米球壳中通过改变材料的几何参数可以实现双各向异性系统,从而提高材料的Snoek极限数值。
6.得到了一种同时具有高电阻率和优异高频磁性的CoFe-NiZn铁氧体双磁性复合颗粒膜。通过掺杂NiZn铁氧体磁性电介质相提高了材料的电阻率(>1000μΩ cm),并且可以同时保证材料具有高饱和磁化强度(>10kGs)和高的共振频率(2.88GHz)。
In this PhD thesis, we mainly study the topics on increasing the high frequency permeability and the using band by using the heterostructure magnetic materials. We mainly study the effects of grain size distribution on permeability of magnetic materials; study the magnetization reversal process of the magnetization of soft magnetic materials with dynamic method; study the high frequency properties in multilayers; study the high frequency properties in nanoshell and nanotube; study the high frequency properties of FeCo-NiZn ferrite bi-magnetic phase granular thin films.
The major finding and innovations are shown as follow:
1. Improvement of random anisotropy model. By introducing the distribution, the revised RAM model with grain size distribution can be well fitting with the real magnetic system. It indicate that the grain size distribution play an important role in the study of the magnetic material characteristics of the particle system.
2. Development of a method to measure the parameters of magnetic materials with high frequency measurement. When measuring the saturation magnetization of thin film, this method can avoids the error during the film thickness measurement. This method is also useful to study the magnetization reversal process of hard-axis with greater accuracy.
3. Adjust the high frequency properties by changing the interlayer interaction in multilayers. We change the interlayer interaction by controlling the thickness of the nonmagnetic interlayer thickness. The high-frequency magnetic permeability (21-894), the resonance frequency (1.4-6.5GHz) and in-plane uniaxial anisotropic field (12-520Oe) can be adjusted in wide range.
4. Improve the Snoek's limit in multilayers. With the interface anisotropy changing in multilayers, the energy distribution should be changed in such bi-anisotropic system. Then, the resonance frequency can be increased but do not reduce the permeability.
5. Nanotube and nanoshell with high Snoek's limit. With micromagnetic simulation, the Snoek's limit can be enlarged because of the bi-anisotropy. The permeability and resonance frequency can be adjusted by changing the geometrical parameters.
6. Obtained such CoFe-NiZn ferrite bi magnetic granular thin films with both high resistivity and excellent high frequency magnetic properties. With NiZn ferrite doping, the resistivity (>1000μΩ cm) can be enlarged, simultaneously, we can also obtain high saturation magnetization (>10kGs), and high resonant frequency (2.88GHz).
引文
1全国磁性材料行业协会.中国磁性材料行业发展研究报告.2008
2 Michael E. McHenry, Matthew A. Willard, David E. Laughlin, "Amorphous and nanocrystalline materials for applications as soft magnets". Prog. Mater. Sci.44291-433 (1999).
2[日]近角聪信著,葛世慧 译,铁磁性物理[M],兰州大学出版社,2002.
3钟文定著,技术磁学(上册)[M],科学出版社,2009.
5 Y. Yoshizawa, S. Oguma, and K. Yamauchi, "New Fe-based soft magnetic alloys composed of ultrafine grain structure". J. Appl. Phys.6044-6046 (1988).
6 Y. Yoshizawa, K. Yamauchi, T. Yamane, H. Sugihara, "Common-mode choke cores using the new Fe-based alloys composed of ultrafine grain structure". J. Appl. Phys.6047-6049 (1988).
7 Hirofumi Iwanabe, Bin Lu, Michael E. McHenry, and David E. Laughlin, "Thermal stability of the nanocrystalline Fe-Co-Hf-B-Cu alloy". J. Appl. Phys.85,4424-4426 (1999).
8 M. A. Willard, D. E. Laughlin, M. E. McHenry, D. Thoma, K. Sickafus, J. O. Cross and V. G. Harris, "Structure and magnetic properties of(Fe0.5Co0.5)88Zr7B4Cu, nanocrystalline alloys". J. Appl. Phys.84, 6773-6777(1998).
9 M. A. Willard, M.-Q. Huang, D. E. Laughlin, M. E. McHenry, J. O. Cross, V. G. Harris and C. Franchetti, "Magnetic properties of HITPERM (Fe, Co) B4Cu, magnets". J. Appl. Phys.85, 4421-4423(1999).
10 R. Alben, J. J. Backer, M. C. Chi, "Random anisolropy in amorphous ferromagnets " J. Appl. Phys. 49,1653(1978).
11 G. Herzer, "Grain size dependence of coercivily and permeability in nanocrystalline ferromagnets", IEEE Trans. Magn.26,1397-1402(1990).
12 J. Smit, & H. P. J. Wijn, Ferrites (Philips Technical Library, Eindhoven, The Netherlands,1959).
13 Desheng Xue, Fashen Li, Xiaolong Fan, and Fusheng Wen, "Bianisotropy Picture of Higher Permeability at Higher Frequencies", Chin. Phys. Lett.25,4120 (2008).
14 S. X. Wang, N. X. Sun, M. Yamaguchi & S. Yabukami, "Sandwich films:Properties of a new soft magnetic material" Nature,407,150, (2000).
15 Nianxiang Sun, "High saturation magnetization soft magnetic iron-cobalt-nickel films for GHz applications"[博士论文].美国Stanford University, (2002).
16 S. Ohnuma, H. Fujimori, S. Mitani, et al. "High-frequencv magnetic properties in meta12nonmetal granular films". J. Appl Phys,79,5130 (1996).
17 Munakata M, Yagi M, Motoyama M, et al."Thickness effect on I GHz permeability of (CoFeB)-(SiO2) films with high electrical resistivity". IEEE Tran Magn,37,2258 (2001).
18钟文定著,铁磁学(中册)[M],科学出版社,2000.
19廖少彬著,铁磁学(下册)[M],科学出版社,2000.
20 J. L. Snoek, "Dispersion and absorption in magnetic ferrites at frequencies above one Mcs" Physica (Amsterdam),14,207 (1948)
21 J. L. Snoek, "Gyromagnelic Resonance in Ferrites" Nature 160,90-90 (1947)
22 O. Acher and A. L. Adenot, "Bounds on the dynamic properties of magnetic material", Phys. Rev. B 62,11324(2000).
23范小龙,“铁磁金属薄膜的高频性质”[博士论文],兰州大学,(2010).
1[日]近角聪信著,葛世慧译,铁磁性物辉[M],兰州大学出版社,2002.
2戴道生,钱昆明著,铁磁学(上册)[M],科学出版社,2000.
3钟文定著,铁磁学(中册)[M],科学出版社,2000.
4廖喀少彬著,铁磁学(下册)[M],科学出版社,2000.
5钟文定著,技术磁学(上册)[M],科学出版社,2009.
6钟文定著,技术磁学(下册)[M],科学出版社,2009.
7 G. A. Kelsall, "Permeability Changes in Ferromagnetic Materials Heat Treated in Magnetic Fields". Physics,5169 (1934).
8 J. F. Dillinger and R. M. Bozorth, "Heat Treatment of Magnetic Materials in a Magnetic Field I. Survey of Iron-Cobalt-Nickel Alloys". Physics,6279-285 (1935).
9 H. D. Arnold and G. W. Elmen, "Permalloy, an alloy of remarkable magnetic properties1". J. Franklin inst.,195621 (1923).
10 A. Broese Van Groenou, J. A. Schulkes, and D. A. Annis, "Magnetic Anisotropy of Some Nickel Zinc Ferrite Crystals". J. Appl. Phys.,381133-1134 (1967).
11 R. Becker, "Theorie der Electrizitaet", Vol.1 (Verlag Duruck von B. G. Tuebner,1933)
12 E. van de Riet, W. Klaassens, and F. Roozeboom, "On the origin of the uniaxial anisotropy in nanocrystalline soft-magnetic materials", J. Appl. Phys.81,806 (1997).
13 O. Acher, J. L. Vermeulen, P. M. Jacquart, J. M. Fontaine, and P. Baclet, "Permeability measurement on ferromagnetic thin films from from 50 MHz up to 18 GHz". J. Magn. Magn. Mater. 136,269(1994).
14 Y. Fu, Z. Yang, T. Miyao, M. Matsumoto, X. X. Liu, and A. Morisako, "Induced anisotropy in soft magnetic Fe65Co35'Co thin films". Mater. Sci. Eng. B 133,61 (2006).
15 X. L. Fan, D. S. Xue, M. Lin, Z. M. Zhang, D. W. Guo, C. J. Jiang, and J. Q. Wei, "In situ fabrication of Co(90)Nb(10) soft magnetic thin films with adjustable resonance frequency from 1.3 to 4.9 GHz". Appl. Phys. Lett.92,222505 (2008).
16 Changjun Jiang, Desheng Xue, Xiaolong Fan, Qingfang Liu, and Jianbo Wang, "In-plane anisotropy formation of Co thin film induced by FeMn covering layer". J. Phys. D:Appl. Phys., 41,055002(2008).
17 H. Barkhausen, "Zwei mit Hilfe der neuen Verstarker entdeckte Erscheinungen". Phys. Z.20 401 (1919)
18 L. Landau and E. Lifshitz, "On the theory of the dispersion of magnetic permeability in ferromagnetic bodies". Phys. Z. Sowjet 8,101-114(1935)
19 L. Neel, J. Phys. Rad.5241 (1944)
20 H. J. Williams, R. M. Bozorth, and W Shockley,"Magnetic domain patterns on single crystals of silicon iron". Phys. Rev.75 155(1949)
21 B. Hillebrands, and K. Ounadjela,"Spin dynamics in confined magnetic structures (?)". Springer Verlag(2002).
22 C. Cohen-Tannoudji, B. Diu, F. Laloe, "Quantum Mechanics" Wiley, New York (1987)
1. C. S. da Silva, M. Knobel, D. Ugarte, D. Zanchet. "Influence of particle size distribution on magnetic properties of nanocrystalline soft magnetic Fe86Zr7Cu4/B6". IEEE Trans Magn,36,3430 (2000).
2 G. Herzer. "Grain size dependence of coercivity and permeability in nanocrystalline ferromagnets". IEEE Trans Magn,26,1397 (1990).
3 Bharat Bhushan, Springer Handbook of Nanotechnology,2en edn. Springer-Verlag, (Berlin, Germany 2007).
4 C. Bernhardt, Particle Size Analysis (Chapman Hall, London 1994).
3 S. Wolfram, The Mathematica Book,5th edn. (Wolfram Media, Champaign 2003).
6 G. Herdan, Small Particle Statistics (Butterworth, London 1960).
7 R. Alben, J. J. Backer, M. C. Chi, "Random anisotropy in amorphous ferromagnets". J. Appl. Phys.49,1653(1978).
8 G. Herzer. "Grain structure and magnetism of nanocrystalline ferromagnets". IEEE Trans Magn, 25,3327(1989).
9 G. Herzer. "Soft magnetic nanocrystalline materials". Scripta Metall. Mater,33,1741 (1995).
10 G. Herzer. "Anisotropies in soft magnetic nanociystalline alloys". J. Magn. Magn. Mater,294,99 (2005).
11张世远, “新型纳米品软磁合金及其应用(一)”,[J]磁性材料及器件,35, (2004)1-5.
12 Michael E. McHenry, Matthew A. Willard, David E. Laughlin, "Amorphous and nanocrystalline materials for applications as soft magnets". Prog. Mater. Sci.44291-433 (1999).
13钟文定著铁磁学(中册)科学出版社2000.
14 A.Mager, "liber den einflub der korngrobe auf die koerzitivkraft", Annalen der physik,11, Heft 1, 1952.
15 M.Kersten, "Zur theorie der ferromagnetischen hysterese und der anfangspermeabilitat", Z. phys., 44,63-67(1943).
16 R. W. Chantrell, J. Popplewell, S. W. Charles. "Measurements of particle size distribution parameters in ferrofluids". IEEE Trans Magn, MAG-14,975 (1978).
1 E. C. Stoner and E. P. Wohlfarth, A mechanism of magnetic hysteresis in heterogeneous alloys, Trans. Roy. Soc. A 240,599(1948).
2 A. Neudert, J. McCord, R.Schafer, and L. Schultz. "Dynamic anisotropy in amorphous CoZrTa films"., J. Appl. Phys.95,6595 (2004).
3 Th. Muhge, Th. Zeidler, Q. Wang, Ch. Morawe, N. Metoki, and H. Zabel, "Structural and magnetic studies of FexCol-x(001) alloy films on MgO(001) substrates", J. Appl. Phys.77,1055 (1995).
4 L. Landau and E. Lifshitz, "On the theory of the dispersion of magnetic permeability in ferromagnetic bodies'". Phys. Z. Sowjet 8,101-114(1935)
1 Y. W. Zhao, X. K. Zhang, and J. Q. Xiao, "Submicrometer Laminated Fe/SiO2 Soft Magnetic Composites-An Effective Route to Materials for High-Frequency Applications". Adv. Mater.17, 915(2005).
2 D. S. Gardner, G. Schrom, P. Hazucha, F. Paillet, T. Karnik, S. Borkar, R. Hallstein, T. Dambrauskas, C. Hill, C. Linde, W. Worwag, R. Baresel, and S. Muthukumar, " Integrated on-chip inductors using magnetic material (invited)". J. Appl. Phys.103,07E927 (2008).
3 N. Wang, T. O'Donnell, H. Hauser, P. McCloskev, and S. C. O'Mathuna, "Hysteresis modelling of high-frequency micro-transformers". J. Magn. Magn. Mater.272-276, e1763-e1764 (2004).
4 N. N. Phuoc, F. Xu, and C. K. Ong, "Ultrawideband microwave noise filter:Hybrid antiferromagnet/ferromagnet exchange-coupled multilayers". Appl. Phys. Lett.94,092505 (2009).
5. S.A. Ramakrishna, "Physics of negative refractive index materials" Rep. Prog. Phys.68,449 (2005).
S. Ohnuma, H. Fujimori, S. Mitani, and T. Masunoto, "High-frequency magnetic properties in metal-nonmetal granular films (invited)" J.Appl. Phys.79,5130 (1996).
7 N. D. Ha, M. H. Phan, and C. O. Kim, "Novel nanostructure and magnetic properties of Co-Fe-Hf-O films".Nanolechnology 18,155705(2007).
8 S. D. Li, Z. G. Huang, J. G. Duh, and M. Yamaguchi, "Ultrahigh-frequency ferromagnetic properties of FeCoHf films deposited by gradient sputtering". Appl. Phys. Lett.92,092501 (2008).
9 J. L. Snoek, "Gyromagnetic resonance in ferrites". Nature 160,90 (1947).
10 J. L. Snoek, "Dispersion and absorption in magnetic ferrites at frequencies above one Mc/s" Physica 14,207(1948).
11 G. Z. Chai, D. S. Xue, X. L. Fan, X. L. Li, and D. W. Guo, "Extending the Snoek's limit of single layer film in (CoZr/Cu) multilayers". Appl. Phys. Lett.93,152516 (2008).
12 S. Queste, S. Dubourg, O. Acher, K. U. Barholz, and R. Mattheis, "Exchange bias anisotropy on the dynamic permeability of thin NiFe layers". J. Appl. Phys.95,6873 (2004).
13 O. Acher, and A. L. Adenot, "Sum rules on the dynamic permeability of hexagonal ferrites". Phys. Rev. B 62,11324(2000).
14 C. Kittel, "On the theory of ferromagnetic resonance absorption". Phys. Rev.73,155 (1948).
13 D. S. Xue, F. S. Li, X. L. Fan, and F. S. Wen, "Bianisotropy picture of higher permeability at higher frequencies". Chin. Phys. Lett.25,4120 (2008).
16 E. van de Riet, W. Klaassens, and F. Roozeboom, "On the origin of the uniaxial anisotropy in nanocrystalline soft-magnetic materials". J. Appl. Phys.81,806 (1997).
17 O. Acher, J. L. Vermeulen, P. M. Jacquart, J. M. Fontaine, and P. Baclet, "Permeability measurement on ferromagnetic thin films from 50 MHz up to 18 GHz". J. Magn. Magn. Mater. 136,269(1994).
18 Y. Fu, Z. Yang, T. Miyao, M. Matsumoto, X. X. Liu, and A. Morisako, "Induced anisotropy in soft magnetic Fe65Co35/Co thin films". Mater. Sci. Eng. B 133,61 (2006).
19 X. L. Fan, D. S. Xue, M. Lin, Z. M. Zhang, D. W. Guo, C. J. Jiang, and J. Q. Wei, Appl. Phys. Lett. "In situ fabrication of Co(90)Nb(10) soft magnetic thin films with adjustable resonance frequency from 1.3 to 4.9 GHz".92,222505 (2008).
20 L. Neel," L'approche a la saturation de la magnetostriction". J. Phys. Rad.15376 (1954).
21 P. Grunberg, R. Schreiber, Y. Peng, M. B. Brodsky and H. Sowers, "Layered magnetic structures: Evidence for antiferromagnetic coupling of Fe layers across Cr interlayers", Phys. Rev. Lett.57, 2442-2445(1986)
22 M. A. Ruderman and C. Kittel, "Indirect exchange coupling of nuclear magnetic moments by conduction electrons". Phys. Rev.96,99 (1954).
23 T. Kasuya, "A Theory of Metallic Ferro-and Antiferromagnetism on Zener's Model". Prog. Theor. Phys.16,45(1956).
24 K. Yosida, "Magnetic properties of Cu-Mn alloys". Phys. Rev.106,893 (1957).
"'P. Bruno, "Magnetic surface anisotropy of cobalt and surface roughness". J. Phys. F:Met. Phys. 181291-1298(1988).
26 R. Y. Diaz, "Modeling of macroscopic anisotropies due to surface effects in magnetic thin films and nanoparticles"[博士论文].西班牙,Universitat Autonoma de Madrid.
27 L. Neel," Anisotropie magnetique superficielle et surstructures d'orientation". J. Phys. Rad.15 225(1954).
28 V. bekker, K. Seemann, and H. Leiste, "A new strip line broad-band measurement evaluation for determining the complex permeability of thin ferromagnetic films". J. Magn. Magn. Mater.270, 327 (2004).
29 A. Murayama, K. Ohshima, and M. Miyamura, "Magnetic interaction and remanence properties in CoNiPt(SiO2) granular films for high-density longitudinal recording". J. Appl. Phys.79,7916 (1996).
30 I. Tagaawa, A. Takeo, and Y. Nakamura, " Mean interaction field in magnetic recording media". J. Appl. Phys.75,6776(1994).
31 E. C. Stoner, "The Analysis of Magnetization Curves". Rev. Mod. Phys.25,2 (1953).
32 O. Henkel, "Remanenzverhalten und Wechsehvirkungen in hartmagnelischen Teilchenkollektiven". Phys. Status Solidi 7,919 (1964).
33 P. E. Kelly, K. O'Grady, and R. W. Chantrell, "Switching mechanisms in cobalt-phosphorus thin films". IEEE Trans. Magn.25,3880-3883 (1989).
34 H. W. Zhang, C. B. Rong, X. B. Du, J. Zhang, S. Y. Zhang, and B. G. Shen, "Investigation on intergrain exchange coupling of nanocrystalline permanent magnets by Henkel plot". Appl. Phys. Lett.82,4098 (2003).
33 D. S. Yao, S. H. Ge, X. Y. Zhou, and H. P. Zuo, "Investigation on the intergranular interaction of the soft magnetic granular films by 8M(H) curves". J. Appl. Phys.104,013902 (2008).
36 R. Lopusnik, J. P. Nibarger, T. J. Silva, and Z. Celinski, "Different dynamic and static magnetic anisotropy in thin PermalloyTM films". Appl. Phys. Lett.83,96-98 (2003).
37 L. D. Landau, and E. M. Lifshitz, "On the theory of the dispersion of magnetic permeability in ferromagnetic bodies". Phys. Z. Sowietunion 8153 (1935).
38 D. S. Chuang, C. A. Ballentine, and R. C. O'Handley, "Surface and step magnetic anisotropy" Phys. Rev. B 4915084 (1994).
39 Y. Liu, C. Y. Tan, Z. W. Liu, and C. K. Ong, "Microstructure and high frequency properties of nanogranular CoAlO thin films". J. Appl. Phys.101,023912 (2007).
Y. W. Zhao, X. K. Zhang, and J. Q. Xiao, "Submicrometer Laminated Fe/SiO2Soft Magnetic Composites-An Effective Route to Materials for High-Frequency Applications". Adv. Mater.17, 915(2005).
2 D. S. Gardner, G. Schrom, P. Hazucha, F. Paillet, T. Karnik, S. Borkar, R. Hallstein, T. Dambrauskas, C. Hill, C. Linde, W. Worwag, R. Baresel, and S. Muthukumar, " Integrated on-chip inductors using magnetic material (invited)". J. Appl. Phys.103,07E927 (2008).
3 N. Wang, T. O'Donnell, H. Hauser, P. McCIoskev, and S. C. O'Mathuna, "Hysteresis modelling of high-frequency micro-transformers". J. Magn. Magn. Mater.272-276, e1763-e1764 (2004).
4 N. N. Phuoc, F. Xu, and C. K. Ong, "Ultrawideband microwave noise filter:Hybrid antiferromagnet ferromagnet exchange-coupled multilayers". Appl. Phys. Lett.94,092505 (2009).
5 S. A. Ramakrishna, "Physics of negative refractive index materials" Rep. Prog. Phys.68,449 (2005).
6 J. L. Snoek, "Gyromagnetic resonance in ferrites". Nature 160,90 (1947).
J. L. Snoek, "Dispersion and absorption in magnetic ferrites at frequencies above one Mc/s" Physica 14,207(1948).
8 G. Z. Chai, D. S. Xue, X. L. Fan, X. L. Li, and D. W. Guo, "Extending the Snoek's limit of single layer film in (CoZr/Cu) multilayers". Appl. Phys. Lett.93,152516 (2008).
S. Queste, S. Dubourg, O. Acher, K. U. Barholz, and R. Mattheis, "Exchange bias anisotropy on the dynamic permeability of thin NiFe layers". J. Appl. Phys.95,6873 (2004).
10 O. Acher, and A. L. Adenot, "Sum rules on the dynamic permeability of hexagonal ferrites". Phys. Rev. B 62,11324(2000).
11 O. Acher, J. L. Vermeulen. P. M. Jacquart, J. M. Fontaine, and P. Baclet, "Permeability measurement on ferromagnetic thin films from 50 MHz up to 18 GHz". J. Magn. Magn. Mater. 136,269(1994).
12 Y. Fu, Z. Yang, T. Miyao, M. Matsumoto, X. X. Liu, and A. Morisako, "Induced anisolropy in soft magnetic Fe65Co35/Co thin films". Mater. Sci. Eng. B 133,61 (2006).
13 X. L. Fan, D. S. Xue, M. Lin, Z. M. Zhang, D. W. Guo, C. J. Jiang, and J. Q. Wei, Appl. Phys. Lett. "In situ fabrication of Co(90)Nb(10) soft magnetic thin films with adjustable resonance frequency from 1.3 to 49 GHz".92,222505 (2008).
14 C. Kittel, "On the theory of ferromagnetic resonance absorption". Phys. Rev.73,155 (1948).
15 D. S. Xue, F. S. Li, X. L. Fan, and F. S. Wen, "Bianisotropy picture of higher permeability at higher frequencies". Chin. Phys. Lett.25,4120 (2008).
16 W. F. Brown, "Micromagnetics:Successor to domain theory?". J. Phys. Radium 20,101-104 (1959)
17 M. J. Donahue and D.G. Porter, OOMMF User's Guide, Version 1.2a3 (2002). (http://math.nist.gov/oommf).
18 K.H.J. Buschow "Handbook of Magnetic Materials", Elsevier B.V. (2006).------D. Suess, J. Fidler and T. Schrefl "Chapter 2:Micromagnetic simulation of magnetic materials"
19肖君军,兰州大学硕士毕业论文,(2001)
20刘荣林,兰州大学硕士毕业论文,(2008)
21 O. Gerardin, H. Le Gall, M. J. Donahue, and N. Vukadinovic, "Micromagnetic calculation of the high frequency dynamics of nano-size rectangular ferromagnetic stripes". J. Appl. Phys.,89,7012 (2001).
22 S. P. Li, D. Peyrade, ML Natali, A. Lebib, Y. Chen, U. Ebels, L. D. Buda, and K. Ounadjela, "Flux Closure Structures in Cobalt Rings". Phys. Rev. Lett.86,1102 (2001).
23 J. Rothman, M. Klaui, L. Lopez-Diaz, C. A. F. Vaz, A. Bleloch, J. A. C. Bland, Z. Cui, and R. Speaks, " Observation of a Bi-Domain State and Nucleation Free Switching in Mesoscopic Ring Magnets". Phys. Rev. Lett.86,1098 (2001).
24 G. Gubbiotti, M. Madami, S. Tacchi, G. Carlotti, H. Tanigawa, T. Ono, L. Giovannini, F. Montoncello, and F. Nizzoli, "Splitting of Spin Excitations in Nanometric Rings Induced by a Magnetic Field". Phys. Rev. Lett.97,247203 (2006).
25 J. Podbielski, F. Giesen, and D. Grundler, "Spin-Wave Interference in Microscopic Rings". Phys. Rev. Lett.96,167207(2006).
26 Z. K. Wang, H. S. Lim, H. Y. Liu, S. C. Ng, M. H. Kuok, L. L. Tay, D. J. Lockwood, M. G. Cottam, K.. L. Hobbs, P. R. Larson, J. C. Keay, G. D. Lian, and M B. Johnson, "Spin Waves in Nickel Nanorings of Large Aspect Ratio"Phys. Rev. Lett.94,137208 (2005).
27 M. Beleggia, J. W. Lau, M. A. Schofield, Y. Zhu, S. Tandon, and M. De Graef, "Phase diagram for magnetic nano-rings". J. Magn. Magn. Mater.301,131 (2006).
28 J. B. Wang, B. Zhang, Q. F. liu, Y. Ren, and R. L. Liu, "Micromagnetic calculation of dynamic susceptibility in ferromagnetic nanorings". J. Appl. Phys.105,083908 (2009).
29 R. D. McMichael, D. J. Twisselmann, and Andrew. Kunz, "Localized Ferromagnetic Resonance in Inhomogeneous Thin Films". Phys. Rev. Lett.90,227601 (2003).
30 R. D. McMichael and B. B. Maranville, "Edge saturation fields and dynamic edge modes in ideal and nonideal magnetic film edges'". Phys. Rev. B 74,024424 (2006).
1 Ohnuma S, Fujimori H, Mitani S and Masumoto T, "High frequency magnetic properties in metal-nonmetal granular films".1996.J.Appl. Phvs.795130.
2. Ohnuma, H. J. Lee, N. Kobayashi, H. Fujimori, T. Masumoto, "Co-Zr-O nano-gramdar thil films with improved high frequency soft magnetic properties".2001 IEEE Trans. Magn.37 2251.
3 Y. Hayakawa, A. Makino, H. Fujimori, and A. Inoue, "High resistive nanocrystalline Fe-M-O (M=Hf. Zr, rare-earth metals) soft magnetic films for high-frequency applications (invited)". J. Appl. Phys.81 3747-3752(1997).
4 M. Ohnuma, K. Hono, H. Onodera, S. Ohnuma, H. Fujimori and J. S. Pedersen, "Microstructures and magnetic properties of Co-Al-O granular thin films".J. Appl. Phys.87817-823 (2000).
5 Dongsheng Yao, Shihui Ge, Bangmin Zhang, Huaping Zuo and Xueyun Zhou, "Fabrication and magnetism of Fe65Co35-MgF2 granular films for high frequency application". J. Appl. Phys.103 113901 (2008).
6 Takeshi Morikawa, Motofumi Suzuki, and Yasunori Taga, "Soft magnetic properties of Co-Cr-O granular films" J. Appl. Phys.836664 (1998).
G. Herzer "Grain size dependence of coercivity and permeability in nanocrystalline ferromagnets". IEEE Trans. Magn.26 1397-1402 (1990).
8 Desheng Xue, Guozhi Chai, Xiling Li, and Xiaolong Fan, "Effects of grain size distribution on coercivity and permeability of ferromagnets". J. Magn. Magn. Mater.320 1541-1543 (2008).
9 G. S. D. Beach and A. E. Berkowitz and F. T. Parker and David J. Smith, "Magnetically soft, high-moment, high-resistivity thin films using discontinuous metal native oxide multilayers". App. Phys. Lett.79224-226 (2001).
10 I.S. Jurca, C. Meny, N. Viart, C. Ulhaq-Bouillet, P. Panissod, and G. Pourroy, "Growth, structure and morphology of CoFe2/CoFe2O4 multilayers". Thin Solid Film 44458-63 (2003).
11 Seung-Young Bae, Chul-Sung Kim, Young-Jei Oh, "Magnetic properties of sol-gel derived Ni-Zn ferrite thin films on yttria stabilized zirconia buffered Si(100)". J. Appl. Phys.855226-5228 (1999).
12 M.Desai, S. Prasad,N.Venkataramani,1. Samajdar, A.K.Nigam,N.Keller, R. Krishnan, E. M. Baggio-Saitovitch, B.R. Pujada, A. Rossi, "Anomalous variation of coercivity with annealing in nanocrystalline NiZn ferrite films". J. Appl. Phys.917592-7594(2002).
13 N. Matsushita, C.P. Chong, T. Mizutani, M. Abe, "Ni-Zn ferrite films with high permeability μ-30,μ"-30) at J GHz prepared at 90℃"J. Appl. Phys.917376-7378 (2002).
14 M. Abe, M. Tada, N. Matsushita, and Y. Shimsda, "Phenomenological theory of permeability in films having no in-plane magnetic anisotropy:Application to spin-sprayed ferrite films". J. Appl. Phys.99,08M907 (2006).
15郭党委“高频用Ni-Zn铁氧体薄膜的结构与磁性”[博士论文]兰州大学(2010).
16 Dangwei Guo, Xiaolong Fan, Guozhi Chai, Changjun Jiang, Xiling Li, and Desheng Xue. "Structural and magnetic properties of NiZn ferrite films with high saturation magnetization deposited by magnetron sputtering". Appl. Surf. Science,2562319, (2010)
17 Dangwei Guo, Jingyi Zhu, Yuancai Yang, Xiaolong Fan, Guozhi Chai, Wenbo Sui, Zhengmei Zhang, and Desheng Xue. "High-frequency magnetic properties of Zn ferrite films deposited by magnetron sputtering". J. Appl. Phys.,107043903, (2010).
18 Dangwei Guo, Zhengmei Zhang, Min Lin, Xiaolong Fan, Guozhi Chai, Yan Xu, and Desheng Xue. "Ni-Zn ferrite films with high resonance frequency in the gigahertz range deposited by magnetron sputtering at room temperature". J. Phys. D:Applied Physics,42125006, (2009).
19 V. bekker, K. Seemann, and H. Leiste, "A new strip line broad-band measurement evaluation for determining the complex permeability of thin ferromagnetic films". J. Magn. Magn. Mater.270, 327 (2004).
20 A. L. Patterson, "The Scherrer Formula for X-Ray Particle Size Determination". Phys. Rev.56 978-982(1939).
21 T. F. Rosenbaum, K. Andres, G. A. Thomas, and R. N. Bhatt, "Sharp Metal-Insulator Transition in a Random Solid". Phys. Rev. Lett.45 1723-1726 (1980).
V. Franco, C. F. Conde, A. Conde, and L. F. Kiss, "Relationship between coercivity and magnetic moment of superparamagnetic particles with dipolar interaction". Phys. Rev. B 72174424 (2005).
23 T. L. Gilbert, "A phenomenological theory of damping in ferromagnetic materials". IEEE Trans. Magn.403443-3449 (2004).
24 Yan Liu and C. Y. Tan and Z. W. Liu and C. K. Ong, "Microstructure and high frequency properties of nanogranular CoAlO thin films". J. Appl. Phys 101023912(2007).
2 Michael E. McHenry, Matthew A. Willard, David E. Laughlin, "Amorphous and nanocrystalline materials for applications as soft magnets". Prog. Mater. Sci.44291-433 (1999).
2[日]近角聪信著,葛世慧 译,铁磁性物理[M],兰州大学出版社,2002.
3钟文定著,技术磁学(上册)[M],科学出版社,2009.
5 Y. Yoshizawa, S. Oguma, and K. Yamauchi, "New Fe-based soft magnetic alloys composed of ultrafine grain structure". J. Appl. Phys.6044-6046 (1988).
6 Y. Yoshizawa, K. Yamauchi, T. Yamane, H. Sugihara, "Common-mode choke cores using the new Fe-based alloys composed of ultrafine grain structure". J. Appl. Phys.6047-6049 (1988).
7 Hirofumi Iwanabe, Bin Lu, Michael E. McHenry, and David E. Laughlin, "Thermal stability of the nanocrystalline Fe-Co-Hf-B-Cu alloy". J. Appl. Phys.85,4424-4426 (1999).
8 M. A. Willard, D. E. Laughlin, M. E. McHenry, D. Thoma, K. Sickafus, J. O. Cross and V. G. Harris, "Structure and magnetic properties of(Fe0.5Co0.5)88Zr7B4Cu, nanocrystalline alloys". J. Appl. Phys.84, 6773-6777(1998).
9 M. A. Willard, M.-Q. Huang, D. E. Laughlin, M. E. McHenry, J. O. Cross, V. G. Harris and C. Franchetti, "Magnetic properties of HITPERM (Fe, Co) B4Cu, magnets". J. Appl. Phys.85, 4421-4423(1999).
10 R. Alben, J. J. Backer, M. C. Chi, "Random anisolropy in amorphous ferromagnets " J. Appl. Phys. 49,1653(1978).
11 G. Herzer, "Grain size dependence of coercivily and permeability in nanocrystalline ferromagnets", IEEE Trans. Magn.26,1397-1402(1990).
12 J. Smit, & H. P. J. Wijn, Ferrites (Philips Technical Library, Eindhoven, The Netherlands,1959).
13 Desheng Xue, Fashen Li, Xiaolong Fan, and Fusheng Wen, "Bianisotropy Picture of Higher Permeability at Higher Frequencies", Chin. Phys. Lett.25,4120 (2008).
14 S. X. Wang, N. X. Sun, M. Yamaguchi & S. Yabukami, "Sandwich films:Properties of a new soft magnetic material" Nature,407,150, (2000).
15 Nianxiang Sun, "High saturation magnetization soft magnetic iron-cobalt-nickel films for GHz applications"[博士论文].美国Stanford University, (2002).
16 S. Ohnuma, H. Fujimori, S. Mitani, et al. "High-frequencv magnetic properties in meta12nonmetal granular films". J. Appl Phys,79,5130 (1996).
17 Munakata M, Yagi M, Motoyama M, et al."Thickness effect on I GHz permeability of (CoFeB)-(SiO2) films with high electrical resistivity". IEEE Tran Magn,37,2258 (2001).
18钟文定著,铁磁学(中册)[M],科学出版社,2000.
19廖少彬著,铁磁学(下册)[M],科学出版社,2000.
20 J. L. Snoek, "Dispersion and absorption in magnetic ferrites at frequencies above one Mcs" Physica (Amsterdam),14,207 (1948)
21 J. L. Snoek, "Gyromagnelic Resonance in Ferrites" Nature 160,90-90 (1947)
22 O. Acher and A. L. Adenot, "Bounds on the dynamic properties of magnetic material", Phys. Rev. B 62,11324(2000).
23范小龙,“铁磁金属薄膜的高频性质”[博士论文],兰州大学,(2010).
1[日]近角聪信著,葛世慧译,铁磁性物辉[M],兰州大学出版社,2002.
2戴道生,钱昆明著,铁磁学(上册)[M],科学出版社,2000.
3钟文定著,铁磁学(中册)[M],科学出版社,2000.
4廖喀少彬著,铁磁学(下册)[M],科学出版社,2000.
5钟文定著,技术磁学(上册)[M],科学出版社,2009.
6钟文定著,技术磁学(下册)[M],科学出版社,2009.
7 G. A. Kelsall, "Permeability Changes in Ferromagnetic Materials Heat Treated in Magnetic Fields". Physics,5169 (1934).
8 J. F. Dillinger and R. M. Bozorth, "Heat Treatment of Magnetic Materials in a Magnetic Field I. Survey of Iron-Cobalt-Nickel Alloys". Physics,6279-285 (1935).
9 H. D. Arnold and G. W. Elmen, "Permalloy, an alloy of remarkable magnetic properties1". J. Franklin inst.,195621 (1923).
10 A. Broese Van Groenou, J. A. Schulkes, and D. A. Annis, "Magnetic Anisotropy of Some Nickel Zinc Ferrite Crystals". J. Appl. Phys.,381133-1134 (1967).
11 R. Becker, "Theorie der Electrizitaet", Vol.1 (Verlag Duruck von B. G. Tuebner,1933)
12 E. van de Riet, W. Klaassens, and F. Roozeboom, "On the origin of the uniaxial anisotropy in nanocrystalline soft-magnetic materials", J. Appl. Phys.81,806 (1997).
13 O. Acher, J. L. Vermeulen, P. M. Jacquart, J. M. Fontaine, and P. Baclet, "Permeability measurement on ferromagnetic thin films from from 50 MHz up to 18 GHz". J. Magn. Magn. Mater. 136,269(1994).
14 Y. Fu, Z. Yang, T. Miyao, M. Matsumoto, X. X. Liu, and A. Morisako, "Induced anisotropy in soft magnetic Fe65Co35'Co thin films". Mater. Sci. Eng. B 133,61 (2006).
15 X. L. Fan, D. S. Xue, M. Lin, Z. M. Zhang, D. W. Guo, C. J. Jiang, and J. Q. Wei, "In situ fabrication of Co(90)Nb(10) soft magnetic thin films with adjustable resonance frequency from 1.3 to 4.9 GHz". Appl. Phys. Lett.92,222505 (2008).
16 Changjun Jiang, Desheng Xue, Xiaolong Fan, Qingfang Liu, and Jianbo Wang, "In-plane anisotropy formation of Co thin film induced by FeMn covering layer". J. Phys. D:Appl. Phys., 41,055002(2008).
17 H. Barkhausen, "Zwei mit Hilfe der neuen Verstarker entdeckte Erscheinungen". Phys. Z.20 401 (1919)
18 L. Landau and E. Lifshitz, "On the theory of the dispersion of magnetic permeability in ferromagnetic bodies". Phys. Z. Sowjet 8,101-114(1935)
19 L. Neel, J. Phys. Rad.5241 (1944)
20 H. J. Williams, R. M. Bozorth, and W Shockley,"Magnetic domain patterns on single crystals of silicon iron". Phys. Rev.75 155(1949)
21 B. Hillebrands, and K. Ounadjela,"Spin dynamics in confined magnetic structures (?)". Springer Verlag(2002).
22 C. Cohen-Tannoudji, B. Diu, F. Laloe, "Quantum Mechanics" Wiley, New York (1987)
1. C. S. da Silva, M. Knobel, D. Ugarte, D. Zanchet. "Influence of particle size distribution on magnetic properties of nanocrystalline soft magnetic Fe86Zr7Cu4/B6". IEEE Trans Magn,36,3430 (2000).
2 G. Herzer. "Grain size dependence of coercivity and permeability in nanocrystalline ferromagnets". IEEE Trans Magn,26,1397 (1990).
3 Bharat Bhushan, Springer Handbook of Nanotechnology,2en edn. Springer-Verlag, (Berlin, Germany 2007).
4 C. Bernhardt, Particle Size Analysis (Chapman Hall, London 1994).
3 S. Wolfram, The Mathematica Book,5th edn. (Wolfram Media, Champaign 2003).
6 G. Herdan, Small Particle Statistics (Butterworth, London 1960).
7 R. Alben, J. J. Backer, M. C. Chi, "Random anisotropy in amorphous ferromagnets". J. Appl. Phys.49,1653(1978).
8 G. Herzer. "Grain structure and magnetism of nanocrystalline ferromagnets". IEEE Trans Magn, 25,3327(1989).
9 G. Herzer. "Soft magnetic nanocrystalline materials". Scripta Metall. Mater,33,1741 (1995).
10 G. Herzer. "Anisotropies in soft magnetic nanociystalline alloys". J. Magn. Magn. Mater,294,99 (2005).
11张世远, “新型纳米品软磁合金及其应用(一)”,[J]磁性材料及器件,35, (2004)1-5.
12 Michael E. McHenry, Matthew A. Willard, David E. Laughlin, "Amorphous and nanocrystalline materials for applications as soft magnets". Prog. Mater. Sci.44291-433 (1999).
13钟文定著铁磁学(中册)科学出版社2000.
14 A.Mager, "liber den einflub der korngrobe auf die koerzitivkraft", Annalen der physik,11, Heft 1, 1952.
15 M.Kersten, "Zur theorie der ferromagnetischen hysterese und der anfangspermeabilitat", Z. phys., 44,63-67(1943).
16 R. W. Chantrell, J. Popplewell, S. W. Charles. "Measurements of particle size distribution parameters in ferrofluids". IEEE Trans Magn, MAG-14,975 (1978).
1 E. C. Stoner and E. P. Wohlfarth, A mechanism of magnetic hysteresis in heterogeneous alloys, Trans. Roy. Soc. A 240,599(1948).
2 A. Neudert, J. McCord, R.Schafer, and L. Schultz. "Dynamic anisotropy in amorphous CoZrTa films"., J. Appl. Phys.95,6595 (2004).
3 Th. Muhge, Th. Zeidler, Q. Wang, Ch. Morawe, N. Metoki, and H. Zabel, "Structural and magnetic studies of FexCol-x(001) alloy films on MgO(001) substrates", J. Appl. Phys.77,1055 (1995).
4 L. Landau and E. Lifshitz, "On the theory of the dispersion of magnetic permeability in ferromagnetic bodies'". Phys. Z. Sowjet 8,101-114(1935)
1 Y. W. Zhao, X. K. Zhang, and J. Q. Xiao, "Submicrometer Laminated Fe/SiO2 Soft Magnetic Composites-An Effective Route to Materials for High-Frequency Applications". Adv. Mater.17, 915(2005).
2 D. S. Gardner, G. Schrom, P. Hazucha, F. Paillet, T. Karnik, S. Borkar, R. Hallstein, T. Dambrauskas, C. Hill, C. Linde, W. Worwag, R. Baresel, and S. Muthukumar, " Integrated on-chip inductors using magnetic material (invited)". J. Appl. Phys.103,07E927 (2008).
3 N. Wang, T. O'Donnell, H. Hauser, P. McCloskev, and S. C. O'Mathuna, "Hysteresis modelling of high-frequency micro-transformers". J. Magn. Magn. Mater.272-276, e1763-e1764 (2004).
4 N. N. Phuoc, F. Xu, and C. K. Ong, "Ultrawideband microwave noise filter:Hybrid antiferromagnet/ferromagnet exchange-coupled multilayers". Appl. Phys. Lett.94,092505 (2009).
5. S.A. Ramakrishna, "Physics of negative refractive index materials" Rep. Prog. Phys.68,449 (2005).
S. Ohnuma, H. Fujimori, S. Mitani, and T. Masunoto, "High-frequency magnetic properties in metal-nonmetal granular films (invited)" J.Appl. Phys.79,5130 (1996).
7 N. D. Ha, M. H. Phan, and C. O. Kim, "Novel nanostructure and magnetic properties of Co-Fe-Hf-O films".Nanolechnology 18,155705(2007).
8 S. D. Li, Z. G. Huang, J. G. Duh, and M. Yamaguchi, "Ultrahigh-frequency ferromagnetic properties of FeCoHf films deposited by gradient sputtering". Appl. Phys. Lett.92,092501 (2008).
9 J. L. Snoek, "Gyromagnetic resonance in ferrites". Nature 160,90 (1947).
10 J. L. Snoek, "Dispersion and absorption in magnetic ferrites at frequencies above one Mc/s" Physica 14,207(1948).
11 G. Z. Chai, D. S. Xue, X. L. Fan, X. L. Li, and D. W. Guo, "Extending the Snoek's limit of single layer film in (CoZr/Cu) multilayers". Appl. Phys. Lett.93,152516 (2008).
12 S. Queste, S. Dubourg, O. Acher, K. U. Barholz, and R. Mattheis, "Exchange bias anisotropy on the dynamic permeability of thin NiFe layers". J. Appl. Phys.95,6873 (2004).
13 O. Acher, and A. L. Adenot, "Sum rules on the dynamic permeability of hexagonal ferrites". Phys. Rev. B 62,11324(2000).
14 C. Kittel, "On the theory of ferromagnetic resonance absorption". Phys. Rev.73,155 (1948).
13 D. S. Xue, F. S. Li, X. L. Fan, and F. S. Wen, "Bianisotropy picture of higher permeability at higher frequencies". Chin. Phys. Lett.25,4120 (2008).
16 E. van de Riet, W. Klaassens, and F. Roozeboom, "On the origin of the uniaxial anisotropy in nanocrystalline soft-magnetic materials". J. Appl. Phys.81,806 (1997).
17 O. Acher, J. L. Vermeulen, P. M. Jacquart, J. M. Fontaine, and P. Baclet, "Permeability measurement on ferromagnetic thin films from 50 MHz up to 18 GHz". J. Magn. Magn. Mater. 136,269(1994).
18 Y. Fu, Z. Yang, T. Miyao, M. Matsumoto, X. X. Liu, and A. Morisako, "Induced anisotropy in soft magnetic Fe65Co35/Co thin films". Mater. Sci. Eng. B 133,61 (2006).
19 X. L. Fan, D. S. Xue, M. Lin, Z. M. Zhang, D. W. Guo, C. J. Jiang, and J. Q. Wei, Appl. Phys. Lett. "In situ fabrication of Co(90)Nb(10) soft magnetic thin films with adjustable resonance frequency from 1.3 to 4.9 GHz".92,222505 (2008).
20 L. Neel," L'approche a la saturation de la magnetostriction". J. Phys. Rad.15376 (1954).
21 P. Grunberg, R. Schreiber, Y. Peng, M. B. Brodsky and H. Sowers, "Layered magnetic structures: Evidence for antiferromagnetic coupling of Fe layers across Cr interlayers", Phys. Rev. Lett.57, 2442-2445(1986)
22 M. A. Ruderman and C. Kittel, "Indirect exchange coupling of nuclear magnetic moments by conduction electrons". Phys. Rev.96,99 (1954).
23 T. Kasuya, "A Theory of Metallic Ferro-and Antiferromagnetism on Zener's Model". Prog. Theor. Phys.16,45(1956).
24 K. Yosida, "Magnetic properties of Cu-Mn alloys". Phys. Rev.106,893 (1957).
"'P. Bruno, "Magnetic surface anisotropy of cobalt and surface roughness". J. Phys. F:Met. Phys. 181291-1298(1988).
26 R. Y. Diaz, "Modeling of macroscopic anisotropies due to surface effects in magnetic thin films and nanoparticles"[博士论文].西班牙,Universitat Autonoma de Madrid.
27 L. Neel," Anisotropie magnetique superficielle et surstructures d'orientation". J. Phys. Rad.15 225(1954).
28 V. bekker, K. Seemann, and H. Leiste, "A new strip line broad-band measurement evaluation for determining the complex permeability of thin ferromagnetic films". J. Magn. Magn. Mater.270, 327 (2004).
29 A. Murayama, K. Ohshima, and M. Miyamura, "Magnetic interaction and remanence properties in CoNiPt(SiO2) granular films for high-density longitudinal recording". J. Appl. Phys.79,7916 (1996).
30 I. Tagaawa, A. Takeo, and Y. Nakamura, " Mean interaction field in magnetic recording media". J. Appl. Phys.75,6776(1994).
31 E. C. Stoner, "The Analysis of Magnetization Curves". Rev. Mod. Phys.25,2 (1953).
32 O. Henkel, "Remanenzverhalten und Wechsehvirkungen in hartmagnelischen Teilchenkollektiven". Phys. Status Solidi 7,919 (1964).
33 P. E. Kelly, K. O'Grady, and R. W. Chantrell, "Switching mechanisms in cobalt-phosphorus thin films". IEEE Trans. Magn.25,3880-3883 (1989).
34 H. W. Zhang, C. B. Rong, X. B. Du, J. Zhang, S. Y. Zhang, and B. G. Shen, "Investigation on intergrain exchange coupling of nanocrystalline permanent magnets by Henkel plot". Appl. Phys. Lett.82,4098 (2003).
33 D. S. Yao, S. H. Ge, X. Y. Zhou, and H. P. Zuo, "Investigation on the intergranular interaction of the soft magnetic granular films by 8M(H) curves". J. Appl. Phys.104,013902 (2008).
36 R. Lopusnik, J. P. Nibarger, T. J. Silva, and Z. Celinski, "Different dynamic and static magnetic anisotropy in thin PermalloyTM films". Appl. Phys. Lett.83,96-98 (2003).
37 L. D. Landau, and E. M. Lifshitz, "On the theory of the dispersion of magnetic permeability in ferromagnetic bodies". Phys. Z. Sowietunion 8153 (1935).
38 D. S. Chuang, C. A. Ballentine, and R. C. O'Handley, "Surface and step magnetic anisotropy" Phys. Rev. B 4915084 (1994).
39 Y. Liu, C. Y. Tan, Z. W. Liu, and C. K. Ong, "Microstructure and high frequency properties of nanogranular CoAlO thin films". J. Appl. Phys.101,023912 (2007).
Y. W. Zhao, X. K. Zhang, and J. Q. Xiao, "Submicrometer Laminated Fe/SiO2Soft Magnetic Composites-An Effective Route to Materials for High-Frequency Applications". Adv. Mater.17, 915(2005).
2 D. S. Gardner, G. Schrom, P. Hazucha, F. Paillet, T. Karnik, S. Borkar, R. Hallstein, T. Dambrauskas, C. Hill, C. Linde, W. Worwag, R. Baresel, and S. Muthukumar, " Integrated on-chip inductors using magnetic material (invited)". J. Appl. Phys.103,07E927 (2008).
3 N. Wang, T. O'Donnell, H. Hauser, P. McCIoskev, and S. C. O'Mathuna, "Hysteresis modelling of high-frequency micro-transformers". J. Magn. Magn. Mater.272-276, e1763-e1764 (2004).
4 N. N. Phuoc, F. Xu, and C. K. Ong, "Ultrawideband microwave noise filter:Hybrid antiferromagnet ferromagnet exchange-coupled multilayers". Appl. Phys. Lett.94,092505 (2009).
5 S. A. Ramakrishna, "Physics of negative refractive index materials" Rep. Prog. Phys.68,449 (2005).
6 J. L. Snoek, "Gyromagnetic resonance in ferrites". Nature 160,90 (1947).
J. L. Snoek, "Dispersion and absorption in magnetic ferrites at frequencies above one Mc/s" Physica 14,207(1948).
8 G. Z. Chai, D. S. Xue, X. L. Fan, X. L. Li, and D. W. Guo, "Extending the Snoek's limit of single layer film in (CoZr/Cu) multilayers". Appl. Phys. Lett.93,152516 (2008).
S. Queste, S. Dubourg, O. Acher, K. U. Barholz, and R. Mattheis, "Exchange bias anisotropy on the dynamic permeability of thin NiFe layers". J. Appl. Phys.95,6873 (2004).
10 O. Acher, and A. L. Adenot, "Sum rules on the dynamic permeability of hexagonal ferrites". Phys. Rev. B 62,11324(2000).
11 O. Acher, J. L. Vermeulen. P. M. Jacquart, J. M. Fontaine, and P. Baclet, "Permeability measurement on ferromagnetic thin films from 50 MHz up to 18 GHz". J. Magn. Magn. Mater. 136,269(1994).
12 Y. Fu, Z. Yang, T. Miyao, M. Matsumoto, X. X. Liu, and A. Morisako, "Induced anisolropy in soft magnetic Fe65Co35/Co thin films". Mater. Sci. Eng. B 133,61 (2006).
13 X. L. Fan, D. S. Xue, M. Lin, Z. M. Zhang, D. W. Guo, C. J. Jiang, and J. Q. Wei, Appl. Phys. Lett. "In situ fabrication of Co(90)Nb(10) soft magnetic thin films with adjustable resonance frequency from 1.3 to 49 GHz".92,222505 (2008).
14 C. Kittel, "On the theory of ferromagnetic resonance absorption". Phys. Rev.73,155 (1948).
15 D. S. Xue, F. S. Li, X. L. Fan, and F. S. Wen, "Bianisotropy picture of higher permeability at higher frequencies". Chin. Phys. Lett.25,4120 (2008).
16 W. F. Brown, "Micromagnetics:Successor to domain theory?". J. Phys. Radium 20,101-104 (1959)
17 M. J. Donahue and D.G. Porter, OOMMF User's Guide, Version 1.2a3 (2002). (http://math.nist.gov/oommf).
18 K.H.J. Buschow "Handbook of Magnetic Materials", Elsevier B.V. (2006).------D. Suess, J. Fidler and T. Schrefl "Chapter 2:Micromagnetic simulation of magnetic materials"
19肖君军,兰州大学硕士毕业论文,(2001)
20刘荣林,兰州大学硕士毕业论文,(2008)
21 O. Gerardin, H. Le Gall, M. J. Donahue, and N. Vukadinovic, "Micromagnetic calculation of the high frequency dynamics of nano-size rectangular ferromagnetic stripes". J. Appl. Phys.,89,7012 (2001).
22 S. P. Li, D. Peyrade, ML Natali, A. Lebib, Y. Chen, U. Ebels, L. D. Buda, and K. Ounadjela, "Flux Closure Structures in Cobalt Rings". Phys. Rev. Lett.86,1102 (2001).
23 J. Rothman, M. Klaui, L. Lopez-Diaz, C. A. F. Vaz, A. Bleloch, J. A. C. Bland, Z. Cui, and R. Speaks, " Observation of a Bi-Domain State and Nucleation Free Switching in Mesoscopic Ring Magnets". Phys. Rev. Lett.86,1098 (2001).
24 G. Gubbiotti, M. Madami, S. Tacchi, G. Carlotti, H. Tanigawa, T. Ono, L. Giovannini, F. Montoncello, and F. Nizzoli, "Splitting of Spin Excitations in Nanometric Rings Induced by a Magnetic Field". Phys. Rev. Lett.97,247203 (2006).
25 J. Podbielski, F. Giesen, and D. Grundler, "Spin-Wave Interference in Microscopic Rings". Phys. Rev. Lett.96,167207(2006).
26 Z. K. Wang, H. S. Lim, H. Y. Liu, S. C. Ng, M. H. Kuok, L. L. Tay, D. J. Lockwood, M. G. Cottam, K.. L. Hobbs, P. R. Larson, J. C. Keay, G. D. Lian, and M B. Johnson, "Spin Waves in Nickel Nanorings of Large Aspect Ratio"Phys. Rev. Lett.94,137208 (2005).
27 M. Beleggia, J. W. Lau, M. A. Schofield, Y. Zhu, S. Tandon, and M. De Graef, "Phase diagram for magnetic nano-rings". J. Magn. Magn. Mater.301,131 (2006).
28 J. B. Wang, B. Zhang, Q. F. liu, Y. Ren, and R. L. Liu, "Micromagnetic calculation of dynamic susceptibility in ferromagnetic nanorings". J. Appl. Phys.105,083908 (2009).
29 R. D. McMichael, D. J. Twisselmann, and Andrew. Kunz, "Localized Ferromagnetic Resonance in Inhomogeneous Thin Films". Phys. Rev. Lett.90,227601 (2003).
30 R. D. McMichael and B. B. Maranville, "Edge saturation fields and dynamic edge modes in ideal and nonideal magnetic film edges'". Phys. Rev. B 74,024424 (2006).
1 Ohnuma S, Fujimori H, Mitani S and Masumoto T, "High frequency magnetic properties in metal-nonmetal granular films".1996.J.Appl. Phvs.795130.
2. Ohnuma, H. J. Lee, N. Kobayashi, H. Fujimori, T. Masumoto, "Co-Zr-O nano-gramdar thil films with improved high frequency soft magnetic properties".2001 IEEE Trans. Magn.37 2251.
3 Y. Hayakawa, A. Makino, H. Fujimori, and A. Inoue, "High resistive nanocrystalline Fe-M-O (M=Hf. Zr, rare-earth metals) soft magnetic films for high-frequency applications (invited)". J. Appl. Phys.81 3747-3752(1997).
4 M. Ohnuma, K. Hono, H. Onodera, S. Ohnuma, H. Fujimori and J. S. Pedersen, "Microstructures and magnetic properties of Co-Al-O granular thin films".J. Appl. Phys.87817-823 (2000).
5 Dongsheng Yao, Shihui Ge, Bangmin Zhang, Huaping Zuo and Xueyun Zhou, "Fabrication and magnetism of Fe65Co35-MgF2 granular films for high frequency application". J. Appl. Phys.103 113901 (2008).
6 Takeshi Morikawa, Motofumi Suzuki, and Yasunori Taga, "Soft magnetic properties of Co-Cr-O granular films" J. Appl. Phys.836664 (1998).
G. Herzer "Grain size dependence of coercivity and permeability in nanocrystalline ferromagnets". IEEE Trans. Magn.26 1397-1402 (1990).
8 Desheng Xue, Guozhi Chai, Xiling Li, and Xiaolong Fan, "Effects of grain size distribution on coercivity and permeability of ferromagnets". J. Magn. Magn. Mater.320 1541-1543 (2008).
9 G. S. D. Beach and A. E. Berkowitz and F. T. Parker and David J. Smith, "Magnetically soft, high-moment, high-resistivity thin films using discontinuous metal native oxide multilayers". App. Phys. Lett.79224-226 (2001).
10 I.S. Jurca, C. Meny, N. Viart, C. Ulhaq-Bouillet, P. Panissod, and G. Pourroy, "Growth, structure and morphology of CoFe2/CoFe2O4 multilayers". Thin Solid Film 44458-63 (2003).
11 Seung-Young Bae, Chul-Sung Kim, Young-Jei Oh, "Magnetic properties of sol-gel derived Ni-Zn ferrite thin films on yttria stabilized zirconia buffered Si(100)". J. Appl. Phys.855226-5228 (1999).
12 M.Desai, S. Prasad,N.Venkataramani,1. Samajdar, A.K.Nigam,N.Keller, R. Krishnan, E. M. Baggio-Saitovitch, B.R. Pujada, A. Rossi, "Anomalous variation of coercivity with annealing in nanocrystalline NiZn ferrite films". J. Appl. Phys.917592-7594(2002).
13 N. Matsushita, C.P. Chong, T. Mizutani, M. Abe, "Ni-Zn ferrite films with high permeability μ-30,μ"-30) at J GHz prepared at 90℃"J. Appl. Phys.917376-7378 (2002).
14 M. Abe, M. Tada, N. Matsushita, and Y. Shimsda, "Phenomenological theory of permeability in films having no in-plane magnetic anisotropy:Application to spin-sprayed ferrite films". J. Appl. Phys.99,08M907 (2006).
15郭党委“高频用Ni-Zn铁氧体薄膜的结构与磁性”[博士论文]兰州大学(2010).
16 Dangwei Guo, Xiaolong Fan, Guozhi Chai, Changjun Jiang, Xiling Li, and Desheng Xue. "Structural and magnetic properties of NiZn ferrite films with high saturation magnetization deposited by magnetron sputtering". Appl. Surf. Science,2562319, (2010)
17 Dangwei Guo, Jingyi Zhu, Yuancai Yang, Xiaolong Fan, Guozhi Chai, Wenbo Sui, Zhengmei Zhang, and Desheng Xue. "High-frequency magnetic properties of Zn ferrite films deposited by magnetron sputtering". J. Appl. Phys.,107043903, (2010).
18 Dangwei Guo, Zhengmei Zhang, Min Lin, Xiaolong Fan, Guozhi Chai, Yan Xu, and Desheng Xue. "Ni-Zn ferrite films with high resonance frequency in the gigahertz range deposited by magnetron sputtering at room temperature". J. Phys. D:Applied Physics,42125006, (2009).
19 V. bekker, K. Seemann, and H. Leiste, "A new strip line broad-band measurement evaluation for determining the complex permeability of thin ferromagnetic films". J. Magn. Magn. Mater.270, 327 (2004).
20 A. L. Patterson, "The Scherrer Formula for X-Ray Particle Size Determination". Phys. Rev.56 978-982(1939).
21 T. F. Rosenbaum, K. Andres, G. A. Thomas, and R. N. Bhatt, "Sharp Metal-Insulator Transition in a Random Solid". Phys. Rev. Lett.45 1723-1726 (1980).
V. Franco, C. F. Conde, A. Conde, and L. F. Kiss, "Relationship between coercivity and magnetic moment of superparamagnetic particles with dipolar interaction". Phys. Rev. B 72174424 (2005).
23 T. L. Gilbert, "A phenomenological theory of damping in ferromagnetic materials". IEEE Trans. Magn.403443-3449 (2004).
24 Yan Liu and C. Y. Tan and Z. W. Liu and C. K. Ong, "Microstructure and high frequency properties of nanogranular CoAlO thin films". J. Appl. Phys 101023912(2007).