非理想1/4波片对泵浦光偏振态的影响
|
摘要
为了研究调整架角度误差以及波片与光源波长不匹配对线偏振光经过1/4波片之后偏振态的影响,本文利用坐标变换法得到1/4波片的琼斯矩阵,并用琼斯矩阵表示各偏振态。推导出波片与光源不匹配时对偏振态的影响理论模型。当考虑到调整架的角度误差时,对入射光偏振态以及波片的琼斯矩阵表达式做引入角度误差的泰勒展开,最后得到和实验结果匹配的仿真曲线。仿真结果表明,当采用808 nm 1/4波片对795 nm波长的线偏振光作用时,在不考虑调整误差的理想情况下出射光椭圆度最高为0.9746,考虑调整误差时,对应理想情况下椭圆度最高为0.96,椭圆度最高点偏移1.72°。仿真和实验结果为进一步分析泵浦光椭圆度对原子参数的影响提供了依据。
In order to study the influence of the angle error of adjusting frame and mismatching of the wavelength of the light source with the wave plate on linearly polarized light after passing through 1/4 plate,the Jones matrices of 1/4 wave plate is obtained in this paper by using coordinate transformation method,and the representation of each polarization state is derived from the Jones matrix. Then the theoretical model of the influence on the polarization are deduced when wave plate and light source do not match with each other. When the angle error of the adjusting frame is considered,the Taylor expansion about the Jones matrices of the polarization state of incident light and wave plate are derived as the angle error and get the simulation curve matching with experimental result. Simulation results indicate that in the case of not considering the adjustment error,the ovality of the emergent laser is 0. 974 6 when using the 808 nm 1/4 wave plate on linearly polarizedlight with the 795 nm wavelength; and in the case of considering the adjustment error,the ovality is 0. 96 corresponding to the highest point under ideal condition as well as the highest point of the ovality offsets 1. 72°.The simulation and experimental results provide the basis for further analysis of the influence of the pump light with different ovality on atomic parameters.
In order to study the influence of the angle error of adjusting frame and mismatching of the wavelength of the light source with the wave plate on linearly polarized light after passing through 1/4 plate,the Jones matrices of 1/4 wave plate is obtained in this paper by using coordinate transformation method,and the representation of each polarization state is derived from the Jones matrix. Then the theoretical model of the influence on the polarization are deduced when wave plate and light source do not match with each other. When the angle error of the adjusting frame is considered,the Taylor expansion about the Jones matrices of the polarization state of incident light and wave plate are derived as the angle error and get the simulation curve matching with experimental result. Simulation results indicate that in the case of not considering the adjustment error,the ovality of the emergent laser is 0. 974 6 when using the 808 nm 1/4 wave plate on linearly polarizedlight with the 795 nm wavelength; and in the case of considering the adjustment error,the ovality is 0. 96 corresponding to the highest point under ideal condition as well as the highest point of the ovality offsets 1. 72°.The simulation and experimental results provide the basis for further analysis of the influence of the pump light with different ovality on atomic parameters.
引文
[1]严吉中,李攀,刘元正.原子陀螺基本概念及发展趋势分析[J].压电与声光,2015,37(5):810-817.YAN J ZH,LI P,LIU Y ZH.Analysis on the basic concept and the development tendency of atomic gyroscopes[J].Piezoelectric&Acoustoopics,2015,37(5):810-817.(in Chinese)
[2]刘院省,王巍,王学锋.微型核磁共振陀螺仪的关键技术及发展趋势[J].导航与控制,2014,13(4):1-6.LIU Y X,WANG W,WANG X F.Key technology and development tendency of micro nuclear magnetic resonance gyroscope[J].Navigation and Control,2014,13(4):1-6.(in Chinese)
[3]周鹏,李夜兰.国外核磁共振陀螺技术专利研究[J].战术导弹技术,2015,(4):5-9.ZHOU P,LI Y L.Patent information research on the nuclear magnetic resonance gyroscope technology[J].Tactical Missile Technology,2015(4):5-9.(in Chinese)
[4]秦杰,汪世林,高溥泽,等.核磁共振陀螺技术研究进展[J].导航定位与授时,2014,2(1):64-69.QIN J,WANG S L,GAO B Z,et al..Advances in nuclear magnetic resonance gyroscope[J].Navigation Positioning&Timing,2014,2(1):64-69.(in Chinese)
[5]LUTWAK R.Micro-technology for positioning,navigation,and timing towards PNT everywhere and always[C].2014 International Symposium on Inertial Sensors and Systems(ISISS),IEEE,2014:1-4.
[6]MEYER D,LARSEN M.Nuclear magnetic resonance gyro for inertial navigation[J].Gyroscopy and Navigation,2014,5(2):75-82.
[7]HAPPER W,JAU Y Y,WALKER T.Optically Pumped Atoms[M].Weinheim:Wiley-VCH Verlag Gmb H&Co,2010:159-217.
[8]任树锋,王秀霞.线偏振光通过多个任意厚度波片的偏振态[J].激光技术,2014,38(3):394-397.REN SH F,WANG X X.Polarization States of linearly polarized light transmitting through several wave-plates with arbitrary thickness[J].Laser Technology,2014,38(3):394-397.(in Chinese)
[9]DONLEY E.A.Nuclear magnetic resonance gyroscopes[C].2010 Conference on Sensors,IEEE,2010:17-22.
[10]HAPPER W.Optical pumping[J].Reviews of Modern Physics,1972,44:169-249.
[11]KASTLER A.Optical methods of atomic orientation and of magnetic resonance[J].JOSA,1957,47(6):460-465.
[12]蔡履中.光学[M].北京:科学出版社,2007.CAI L ZH.Optics[M].Beijing:The Science Publishing Company,2007.(in Chinese)
[13]汪之国,龙兴武,王飞,等.激光陀螺本征模偏振态与磁敏感特性的理论研究[J].物理学报,2013,62(5):054205.WANG ZH G,LONG X W,WANG F,et al..Theoretical analysis of polarization eigenstate and magnetic sensitivity in a ring laser gyro[J].Acta Phys.Sin.,2013,62(5):054205.(in Chinese)
[14]王薇,谢宇,许露露.偏振光经过1/4波片之后偏振态的变化[J].淮北煤炭师范学院院报,2010,32(2):26-29.WANG W,XIE Y,XU L L.Research on change of the polarization status for the polarized light passing through quarter wave plate[J].J.Huaibei Coal Industry Teachers College,2010,32(2):26-29.(in Chinese)
[15]赵廷生,李国华.精确确定光路中1/4波片光轴方位的新方法[J].光学学报,2008,28(3):487-491.ZHAO T SH,LI G H.A new method to measure the optical-axis azimuth of quarter-wave plate in light path accurately[J].Acta Optica Sinica,2008,28(3):487-491.(in Chinese)
[16]任广军,李国华.偏光器件的Jones矩阵研究[J].光学技术,2003,29(5):578-580.REN G J,LI G H.Jones matrix research of polarization device[J].Optical Technique,2003,29(5):578-580.(in Chinese)
[17]白云峰,闫照宇,浦合力.仅使用偏振片精确测量偏振态[J].黑龙江工程学院学报,2014,28(1):64-66.BAI Y F,YAN Z Y,PU H L.Polarization measurement with polarizer only[J].J.Heilongjiang Institute of Technology,2014,28(1):64-66.(in Chinese)
[18]赵航,郝彦军,朱俊,等.光的偏振特性研究[J].实验科学与技术,2015,6(13):1-2.ZHAO H,HAO Y J,ZHU J,et al..Research on feature of polarized light[J].Experiment Science and Technology,2015,6(13):1-2(in Chinese).
[2]刘院省,王巍,王学锋.微型核磁共振陀螺仪的关键技术及发展趋势[J].导航与控制,2014,13(4):1-6.LIU Y X,WANG W,WANG X F.Key technology and development tendency of micro nuclear magnetic resonance gyroscope[J].Navigation and Control,2014,13(4):1-6.(in Chinese)
[3]周鹏,李夜兰.国外核磁共振陀螺技术专利研究[J].战术导弹技术,2015,(4):5-9.ZHOU P,LI Y L.Patent information research on the nuclear magnetic resonance gyroscope technology[J].Tactical Missile Technology,2015(4):5-9.(in Chinese)
[4]秦杰,汪世林,高溥泽,等.核磁共振陀螺技术研究进展[J].导航定位与授时,2014,2(1):64-69.QIN J,WANG S L,GAO B Z,et al..Advances in nuclear magnetic resonance gyroscope[J].Navigation Positioning&Timing,2014,2(1):64-69.(in Chinese)
[5]LUTWAK R.Micro-technology for positioning,navigation,and timing towards PNT everywhere and always[C].2014 International Symposium on Inertial Sensors and Systems(ISISS),IEEE,2014:1-4.
[6]MEYER D,LARSEN M.Nuclear magnetic resonance gyro for inertial navigation[J].Gyroscopy and Navigation,2014,5(2):75-82.
[7]HAPPER W,JAU Y Y,WALKER T.Optically Pumped Atoms[M].Weinheim:Wiley-VCH Verlag Gmb H&Co,2010:159-217.
[8]任树锋,王秀霞.线偏振光通过多个任意厚度波片的偏振态[J].激光技术,2014,38(3):394-397.REN SH F,WANG X X.Polarization States of linearly polarized light transmitting through several wave-plates with arbitrary thickness[J].Laser Technology,2014,38(3):394-397.(in Chinese)
[9]DONLEY E.A.Nuclear magnetic resonance gyroscopes[C].2010 Conference on Sensors,IEEE,2010:17-22.
[10]HAPPER W.Optical pumping[J].Reviews of Modern Physics,1972,44:169-249.
[11]KASTLER A.Optical methods of atomic orientation and of magnetic resonance[J].JOSA,1957,47(6):460-465.
[12]蔡履中.光学[M].北京:科学出版社,2007.CAI L ZH.Optics[M].Beijing:The Science Publishing Company,2007.(in Chinese)
[13]汪之国,龙兴武,王飞,等.激光陀螺本征模偏振态与磁敏感特性的理论研究[J].物理学报,2013,62(5):054205.WANG ZH G,LONG X W,WANG F,et al..Theoretical analysis of polarization eigenstate and magnetic sensitivity in a ring laser gyro[J].Acta Phys.Sin.,2013,62(5):054205.(in Chinese)
[14]王薇,谢宇,许露露.偏振光经过1/4波片之后偏振态的变化[J].淮北煤炭师范学院院报,2010,32(2):26-29.WANG W,XIE Y,XU L L.Research on change of the polarization status for the polarized light passing through quarter wave plate[J].J.Huaibei Coal Industry Teachers College,2010,32(2):26-29.(in Chinese)
[15]赵廷生,李国华.精确确定光路中1/4波片光轴方位的新方法[J].光学学报,2008,28(3):487-491.ZHAO T SH,LI G H.A new method to measure the optical-axis azimuth of quarter-wave plate in light path accurately[J].Acta Optica Sinica,2008,28(3):487-491.(in Chinese)
[16]任广军,李国华.偏光器件的Jones矩阵研究[J].光学技术,2003,29(5):578-580.REN G J,LI G H.Jones matrix research of polarization device[J].Optical Technique,2003,29(5):578-580.(in Chinese)
[17]白云峰,闫照宇,浦合力.仅使用偏振片精确测量偏振态[J].黑龙江工程学院学报,2014,28(1):64-66.BAI Y F,YAN Z Y,PU H L.Polarization measurement with polarizer only[J].J.Heilongjiang Institute of Technology,2014,28(1):64-66.(in Chinese)
[18]赵航,郝彦军,朱俊,等.光的偏振特性研究[J].实验科学与技术,2015,6(13):1-2.ZHAO H,HAO Y J,ZHU J,et al..Research on feature of polarized light[J].Experiment Science and Technology,2015,6(13):1-2(in Chinese).