高斯光束在双曲材料表面反射的Imbert-Fedorov位移研究
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摘要
文章以由Ag/TiO2构成的多层双曲材料的电磁特性为基础,分析了一束圆偏振高斯光束被其在Kretschmann结构中反射后光束的Imbert-Fedorov位移(IF位移)。双曲材料的特性在于其等频线为双曲线,且在不同波段下具有两种不同类型的双曲色散响应。结果表明,在双曲材料板为Ⅰ型波段时,通过棱镜入射,IF位移放大到真空入射时的4倍;而在Ⅱ型双曲波段,通过棱镜入射,IF位移受到了明显的抑制,是真空入射时的十分之一。随后,用角谱法进行了光束模拟,验证了解析计算的结果。最后,通过调节双曲材料板的厚度和金属成分的填充率实现了对一定波长下IF位移大小的调控。
We analyze the Imbert-Fedorov displacement(IF shifts)of a circular polarized Gauss beam being reflected in Kretschmann configuration with hyperbolic metamaterials.The characteristic of hyperbolic material is that its equal frequency line is hyperbolic,and there are two different types of dispersion responses under different wavelengths.The results show that,When the hyperbolic material plate is I band,the IF displacement is amplified to 4 times the vacuum incident;while in II hyperbolic wave band,the IF displacement is restrained obviously by prism incident.And the results of analytical calculation are verified by means of beam simulation.Lastly,by adjusting the thickness of the hyperbolic material plate and the doping rate of the metal components,the IF displacement can be controlled at a certain wavelength.
We analyze the Imbert-Fedorov displacement(IF shifts)of a circular polarized Gauss beam being reflected in Kretschmann configuration with hyperbolic metamaterials.The characteristic of hyperbolic material is that its equal frequency line is hyperbolic,and there are two different types of dispersion responses under different wavelengths.The results show that,When the hyperbolic material plate is I band,the IF displacement is amplified to 4 times the vacuum incident;while in II hyperbolic wave band,the IF displacement is restrained obviously by prism incident.And the results of analytical calculation are verified by means of beam simulation.Lastly,by adjusting the thickness of the hyperbolic material plate and the doping rate of the metal components,the IF displacement can be controlled at a certain wavelength.
引文
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[18]Asiri S,Xu J,Al-Amri M,et al.Controlling the Goos-Hnchen and Imbert-Fedorov Shifts Via Pump and Driving Fields[J].Phys Rev A,2016,93(1):013821.DOI:10.1103/PhysRevA.93.013821.
[2]Imbert C.Calculation and Experimental Proof of the Transverse Shift Induced by Total Internal Reflection of a Circularly Polarized Light Beam[J].Phys Rev D,1972,5(4):787-795.DOI:10.1103/physrevd.5.787.
[3]Bliokh K Y,Aiello A.Goos-Hnchen and Imbert-Fedorov Beam Shifts:An Overview[J].Journal of Optics,2013,15(014001):1-16.DOI:10.1088/2040-8978/15/1/014001.
[4]Jayaswal G,Mistura G,Merano M.Observation of the Imbert-Fedorov Effect Via Weak Value Amplification[J].Opt Lett,2014,39(8):2266-2269.DOI:10.1364/ol.39.002266.
[5]Hosten O,Kwiat P.Observation of the Spin Hall Effect of Light via Weak Measurements[J].Science,2008,319:787-790.DOI:10.1126/science.1152697.
[6]Merano M.Optical Beam Shifts in Graphene and Single-layer Boron-nitride[J].Opt Lett,2016,41(24):5780-5783.DOI:10.1364/ol.41.005780.
[7]Li Luo,Tang Tingting.Enhanced Imbert-Fedorov Effect of Reflected Light from an Epsilon-near-zero Slab[J].Superlattices and Microstructures,2017,109:259-263.DOI:10.1016/j.spmi.2017.05.006.
[8]Zoghi,Maryam.Goos-Hnchen and Imbert-Fedorov Shifts in a Two-dimensional Array of Gold Nanoparticles[J].Journal of Nanophotonics,2018,12(1):016021.DOI:10.1117/1.JNP.12.016021.
[9]Merano M,Aiello A,van Exter M P,et al.Observing Angular Deviations in the Specular Reflection of a Light Beam[J].Nat Photonics,2009,3:337.DOI:10.1038/nphoton.2009.75.
[10]Lorenzo Ferrari,Wu Chihhui,Dominic Lepage,et al.Hyperbolic Metamaterials and Their Applications[J].Prog Quantum Electron,2015,(40):1-40.DOI:10.1016/j.pquantelec.2014.10.001.
[11]Vladimir P Drachev,Viktor A Podolsdiy,Alexander V Kildishev.Hyperbolic Metamate Rials:New Physics Behind a Classical Problem[J].Opt Express,2013,21:15048-15064.DOI:10.1364/oe.21.015048.
[12]Shekhar P,Atkinson J,Jacob Z.Hyperbolic Metamaterials:Fundamentals and Applications[J].Nano Convergence,2014,1:1-14.DOI:10.1186/s40580-014-0014-6.
[13]Krishnamoorthy H N S,Jacob Z,Narimanov E,et al.Topological Transitions in Metamaterials[J].Science,2012,336:205-209.DOI:10.1126/science.1219171.
[14]SM Rytov,Sov.Electromagnetic Properties of a Finely Stratified Medium[J].Phys JETP,1956,2:466-475.DOI:ci.nii.ac.jp/naid/110003181481.
[15]Wood B,Pendry J B,Tsai D P.Directed Subwavelength Imaging using a Layered Metal-dielectric System[J].Phys Rev B,2006,74(11):115116.DOI:10.1103/PhysRevB.74.115116.
[16]Devore J R.Refractive Indices of Rutile and Sphalerite[J].J Opt Soc Am,1951,41(6):416.DOI:10.1364/JOSA.41.000416.
[17]Xu C,Xu J,Song G,et al.Enhanced Displacements in Reflected Beams at Hyperbolic Metamaterials[J].Opt Express,2016,24:21767.DOI:10.1364/OE.24.021767.
[18]Asiri S,Xu J,Al-Amri M,et al.Controlling the Goos-Hnchen and Imbert-Fedorov Shifts Via Pump and Driving Fields[J].Phys Rev A,2016,93(1):013821.DOI:10.1103/PhysRevA.93.013821.