反射型体光栅的光谱滤波与角度滤波特性研究
|
摘要
由于具有较高的衍射效率,较强的布拉格波长选择性和角度选择性,反射型体布拉格光栅在光谱滤波与空间滤波领域得到了广泛应用。本文基于Kogelnik耦合波理论,得到了非倾斜反射型体布拉格光栅中描述折射率调制度、光栅厚度与布拉格条件下衍射效率之间关系的简化公式,研究了反射型体光栅的窄带滤波特性与角度滤波特性,分析了体光栅参数(光栅厚度、栅距与折射率调制度等)对光栅衍射效率,光谱带宽与角度选择特性的影响。结果表明,增大光栅厚度能提高光栅衍射效率,减小折射率调制度能减小窄带滤波器的滤波带宽与角度滤波器的角度选择范围。给出了滤波器设计中各光栅参数的计算方法,该研究结果为反射型体光栅滤波器的设计提供了理论依据。
Due to its high diffraction efficiency,strong wavelength selectivity and angular selectivity,reflecting volume Bragg gratings have been widely used in spectral and spatial filtering. Based on Kogelnik's coupled wave theory,a simplified formula describing the relationship between refractive index modulation,grating thickness and diffraction efficiency in non-slanted reflection gratings is obtained. The narrow-band filtering characteristics and angular filtering characteristics of reflecting uniform Bragg gratings were studied. The influences of volume grating parameters on diffraction efficiency such as grating thickness,grating period,refractive index modulation and more,the spectral bandwidth and angular selectivity were analyzed. The results show that the increase of grating thickness can improve diffraction efficiency of the gratings. And the decrease of refractive index modulation can reduce the filtering bandwidth of the spectral filters and the angle selection range of the angular filters.The calculation method of each grating parameter in filter design is given. The research results provide a theoretical basis for the design of reflecting volume grating filters.
Due to its high diffraction efficiency,strong wavelength selectivity and angular selectivity,reflecting volume Bragg gratings have been widely used in spectral and spatial filtering. Based on Kogelnik's coupled wave theory,a simplified formula describing the relationship between refractive index modulation,grating thickness and diffraction efficiency in non-slanted reflection gratings is obtained. The narrow-band filtering characteristics and angular filtering characteristics of reflecting uniform Bragg gratings were studied. The influences of volume grating parameters on diffraction efficiency such as grating thickness,grating period,refractive index modulation and more,the spectral bandwidth and angular selectivity were analyzed. The results show that the increase of grating thickness can improve diffraction efficiency of the gratings. And the decrease of refractive index modulation can reduce the filtering bandwidth of the spectral filters and the angle selection range of the angular filters.The calculation method of each grating parameter in filter design is given. The research results provide a theoretical basis for the design of reflecting volume grating filters.
引文
[1]惠勇凌,李强,张翔,等.基于体布拉格光栅选模的单纵模激光器[J].中国激光,2009,36(11):2805-2807.
[2]胡静.基于体布拉格光栅横模选择特性理论研究[D].苏州:苏州大学物理与光电·能源学部.2016.
[3]VOLODIN B L,DOLGY S V,MELNIK E D,et al.Wavelength stabilization and spectrum narrowing of high-power multimode laser diodes and arrays by use of volume Bragg gratings[J].Optics Letters,2004,29(16):1891-1893.
[4]VOROBIEV N,GLEBOV L,SMIMOV V.Single-frequency-mode Q-switched Nd:YAG and Er:glass lasers controlled by volume Bragg gratings[J].Optics Express,2008,16(12):9199-204.
[5]GOUREVITCH A,VENUS G,SMIMOV V,et al.Continuous wave,30W Laser-Diode Bar with 10GHz Linewidth for Rb Laser Pumping[J].Optics Letters,2008,33(7):702-4.
[6]吴尚.基于体布拉格光栅的宽带角选择空间滤波研究[D].苏州:苏州大学物理与光电·能源学部.2016.
[7]HELLSTROM J E,JACOBSSON B,PASISKEVICIUS V,et al.Finite beams in reflective volume bragg gratings:theory and experiments[J].IEEE Journal of Quantum Electronics,2008,44(1):81-89.
[8]HALE E,RYASNYANSKIY A,Venus G,et al.Wavelength tunable dual channel solid state laser for terahertz difference frequency generation[C]∥Proceedings of SPIE-The International Society for Optical Engineering,2017,10082:1008210-1-1008210-7.
[9]李志永,谭荣清,黄伟,等.光热敏折变玻璃的体布拉格光栅热特性理论研究[J].红外与激光工程,2017,46(8):0821001.
[10]高帆.基于Bragg体光栅的光束近场特性与控制技术研究[D].苏州:苏州大学物理与光电·能源学部.2016.
[11]段佳著,赵祥杰,张大勇,等.基于体全息光栅的谱合成器件优化设计研究[J].光电技术应用,2016,31(1):29-34.
[12]GLEBOV L,LUMEAU J,MOKHOV S,et al.Reflection of light by composite volume holograms:Fresnel corrections and Fabry-Perot spectral filtering.[J].Journal of the Optical Society of America A Optics Image Science&Vision,2008,25(3):751-764.
[13]GLEBOV A,MOKHUN O,RAPAPORT A,et al.Volume bragg gratings as ultra-narrow and multiband optical filters[C]∥Micro-optics.International Society for Optics and Photonics,2012.8428:84280C-1-84280C-11.
[14]CIAPURIN I V,DRACHENBERG D R,SMIRNOV V I.Modeling of phase volume diffractive gratings,part 2:reflecting sinusoidal uniform gratings,Bragg mirrors[J].Optical Engineering,2012,51(5):058001-1-058001-10.
[15]CIAPURIN I V,GLEBOV L B,SMIMOV V I.Modeling of Gaussian beam diffraction on volume Bragg gratings in PTRglass[C]∥Proceedings of SPIE-The International Society for Optical Engineering,2005,5742:183-194.
[16]GLEBOV L,SMIMOV V,ROTARI E,et al.Volumechirped Bragg gratings:monolithic components for stretching and compression of ultrashort laser pulses[J].Optical Engineering,2014,53(5):051514-1-051514-8.
[17]KOGELNIK H.Coupled wave theory for thick hologram gratings[J].Bell Labs Technical Journal,1969,48(10):2909-2947.
[2]胡静.基于体布拉格光栅横模选择特性理论研究[D].苏州:苏州大学物理与光电·能源学部.2016.
[3]VOLODIN B L,DOLGY S V,MELNIK E D,et al.Wavelength stabilization and spectrum narrowing of high-power multimode laser diodes and arrays by use of volume Bragg gratings[J].Optics Letters,2004,29(16):1891-1893.
[4]VOROBIEV N,GLEBOV L,SMIMOV V.Single-frequency-mode Q-switched Nd:YAG and Er:glass lasers controlled by volume Bragg gratings[J].Optics Express,2008,16(12):9199-204.
[5]GOUREVITCH A,VENUS G,SMIMOV V,et al.Continuous wave,30W Laser-Diode Bar with 10GHz Linewidth for Rb Laser Pumping[J].Optics Letters,2008,33(7):702-4.
[6]吴尚.基于体布拉格光栅的宽带角选择空间滤波研究[D].苏州:苏州大学物理与光电·能源学部.2016.
[7]HELLSTROM J E,JACOBSSON B,PASISKEVICIUS V,et al.Finite beams in reflective volume bragg gratings:theory and experiments[J].IEEE Journal of Quantum Electronics,2008,44(1):81-89.
[8]HALE E,RYASNYANSKIY A,Venus G,et al.Wavelength tunable dual channel solid state laser for terahertz difference frequency generation[C]∥Proceedings of SPIE-The International Society for Optical Engineering,2017,10082:1008210-1-1008210-7.
[9]李志永,谭荣清,黄伟,等.光热敏折变玻璃的体布拉格光栅热特性理论研究[J].红外与激光工程,2017,46(8):0821001.
[10]高帆.基于Bragg体光栅的光束近场特性与控制技术研究[D].苏州:苏州大学物理与光电·能源学部.2016.
[11]段佳著,赵祥杰,张大勇,等.基于体全息光栅的谱合成器件优化设计研究[J].光电技术应用,2016,31(1):29-34.
[12]GLEBOV L,LUMEAU J,MOKHOV S,et al.Reflection of light by composite volume holograms:Fresnel corrections and Fabry-Perot spectral filtering.[J].Journal of the Optical Society of America A Optics Image Science&Vision,2008,25(3):751-764.
[13]GLEBOV A,MOKHUN O,RAPAPORT A,et al.Volume bragg gratings as ultra-narrow and multiband optical filters[C]∥Micro-optics.International Society for Optics and Photonics,2012.8428:84280C-1-84280C-11.
[14]CIAPURIN I V,DRACHENBERG D R,SMIRNOV V I.Modeling of phase volume diffractive gratings,part 2:reflecting sinusoidal uniform gratings,Bragg mirrors[J].Optical Engineering,2012,51(5):058001-1-058001-10.
[15]CIAPURIN I V,GLEBOV L B,SMIMOV V I.Modeling of Gaussian beam diffraction on volume Bragg gratings in PTRglass[C]∥Proceedings of SPIE-The International Society for Optical Engineering,2005,5742:183-194.
[16]GLEBOV L,SMIMOV V,ROTARI E,et al.Volumechirped Bragg gratings:monolithic components for stretching and compression of ultrashort laser pulses[J].Optical Engineering,2014,53(5):051514-1-051514-8.
[17]KOGELNIK H.Coupled wave theory for thick hologram gratings[J].Bell Labs Technical Journal,1969,48(10):2909-2947.