矢量贝塞尔涡旋波束在均匀单轴各向异性介质中的传输
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摘要
基于电磁场的矢量波函数展开方法和不同坐标系中矢量波函数转化关系,得到了圆对称矢量贝塞尔涡旋波束的圆柱矢量波函数展开系数;结合电磁场边界条件,获得了圆对称矢量贝塞尔涡旋波束以任意方向照射均匀单轴各向异性介质层的反射场、透射场和内部场的展开系数;数值计算了沿波束传播方向横截面上的入射、反射和透射电场强度分布以及xOz平面内传播路径方向的总电场强度分布。结果表明,圆对称贝塞尔涡旋波束入射单轴各向异性介质的反射场基本保持同心圆环结构,但强度分布不再呈圆对称;透射场出现两束交错折射光,总电场强度轮廓显著扭曲。
We obtain vector wave function expansion coefficients of the circularly-symmetric vector Bessel vortex beam based on the expansion of electromagnetic field in terms of vector wave function and the transformation of vector wave functions in different coordinate systems.Then,we obtain the expansion coefficients of reflection field,transmission field,and internal field of homogeneous uniaxial anisotropic media,which is illuminated by a circularly-symmetric vector Bessel vortex beam in any direction under the electromagnetic field boundary conditions.At last,we simulate the electric field distributions of reflection field,transmission field,and internal field in the cross sections and the total electric field distribution in xOz plane.The simulated results show that for a circularlysymmetric Bessel vortex beam incidence to uniaxial anisotropic media,the reflection field contour keeps a concentric ring structure,whereas the reflection field intensity distribution is asymmetric;there are two refracted rays in the transmission field,which brings about the distortion of the electric field intensity contour.
We obtain vector wave function expansion coefficients of the circularly-symmetric vector Bessel vortex beam based on the expansion of electromagnetic field in terms of vector wave function and the transformation of vector wave functions in different coordinate systems.Then,we obtain the expansion coefficients of reflection field,transmission field,and internal field of homogeneous uniaxial anisotropic media,which is illuminated by a circularly-symmetric vector Bessel vortex beam in any direction under the electromagnetic field boundary conditions.At last,we simulate the electric field distributions of reflection field,transmission field,and internal field in the cross sections and the total electric field distribution in xOz plane.The simulated results show that for a circularlysymmetric Bessel vortex beam incidence to uniaxial anisotropic media,the reflection field contour keeps a concentric ring structure,whereas the reflection field intensity distribution is asymmetric;there are two refracted rays in the transmission field,which brings about the distortion of the electric field intensity contour.
引文
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[26]Wang M J,Zhang H Y,Liu G S,et al.Reflection and transmission of Gaussian beam by a uniaxial anisotropic slab[J].Optics Express,2014,22(3):3705-3711.
[2]Yao A M,Padgett M J.Orbital angular momentum:origins,behavior and applications[J].Advances in Optics and Photonics,2011,3(2):161-204.
[3]Ke X Z,Xu J Y.Interference anddetection of vortex beams with orbital angular momentum[J].Chinese Journal of Lasers,2016,43(9):0905003.柯熙政,胥俊宇.涡旋光束轨道角动量干涉及检测的研究[J].中国激光,2016,43(9):0905003.
[4]Ke X Z,Wang C Z.Intensity distribution of partially coherent off-axis vortex beam propagating in atmospheric turbulence[J].Acta Optica Sinica,2017,37(1):0101005.柯熙政,王超珍.部分相干离轴涡旋光束在大气湍流中的光强分布[J].光学学报,2017,37(1):0101005.
[5]Qian H,Markman B D,Giebink N C.Vector vortex beam emission from organic semiconductor microlasers[J].Applied Physics Letters,2013,103(16):161110.
[6]Zhu Q Z,Wu F T,He X.Generation of hollow beams through focusing J0-correlated Schell-model beams with axicon[J].Acta Optica Sinica,2016,36(10):1026022.朱清智,吴逢铁,何西.轴棱锥聚焦贝塞尔-谢尔模型光束产生空心光束[J].光学学报,2016,36(10):1026022.
[7]Volke-Sepulveda K,Garcés-Chávez V,Chávez-Cerda S,et al.Orbital angular momentum of a high-order Bessel light beam[J].Journal of Optics B:Quantum and Semiclassical Optics,2002,4(2):S82-S89.
[8]Wang J J,Wriedt T,Mdler L,et al.Multipole expansion of circularly symmetric Bessel beams of arbitrary order for scattering calculations[J].Optics Communications,2017,387:102-109.
[9]Porras M A,Ruiz-Jiménez C.Nondiffracting and nonattenuating vortex light beams in media with nonlinear absorption of orbital angular momentum[J].Journal of the Optical Society of America B,2014,31(11):2657-2664.
[10]Mitri F G,Li R X,Yang R P,et al.Optical pulling force on a magneto-dielectric Rayleigh sphere in Bessel tractor polarized beams[J].Journal of Quantitative Spectroscopy and Radiative Transfer,2016,184:360-381.
[11]Fleck J A,Feit M D.Beam propagation in uniaxial anisotropic media[J].Journal of the Optical Society of America,1983,73(7):920-926.
[12]Neira A D,Wurtz G A,Ginzburg P,et al.Ultrafast all-optical modulation with hyperbolic metamaterial integrated in Si photonic circuitry[J].Optics Express,2014,22(9):10987-10994.
[13]Aschy A,Terrien N,Robert S,et al.Enhancement of the total focusing method imaging for immersion testing of anisotropic carbon fiber composite structures[C]//AIP Conference Proceedings,2017,1806:040005.
[14]Geng Y L,Wu X B,Li L W,et al.Mie scattering by a uniaxial anisotropic sphere[J].Physical Review E,2004,70(5):056609.
[15]Wu Z S,Li Z J,Li H,et al.Off-axis Gaussian beam scattering by an anisotropic coated sphere[J].IEEETransactions on Antennas and Propagation,2011,59(12):4740-4748.
[16]Li Z J,Wu Z S,Qu T,et al.Light scattering of a non-diffracting zero-order Bessel beam by uniaxial anisotropic bispheres[J].Journal of Quantitative Spectroscopy and Radiative Transfer,2015,162:56-65.
[17]Chen Z Z,Zhang H Y,Huang Z X,et al.Shaped beam scattering by an anisotropic particle[J].Journal of Quantitative Spectroscopy and Radiative Transfer,2017,189:238-242.
[18]Gao X H,Zhang H Y.Scattering of shaped beam by a chiral spheroid[J].Optik-International Journal for Light and Electron Optics,2017,129:43-49.
[19]Wang Y,Yu K,Zha X J,et al.Reflection and transmission of Gaussian beam from a uniaxial crystal slab[J].Europhysics Letters,2006,75(4):569-575.
[20]Huang Z X,Xu F,Wang B X,et al.Propagation of Gaussian beam through a uniaxial anisotropic slab[J].Optics Communications,2016,380:336-341.
[21]Yan B,Zhang H Y,Zhang J Y.Reflection and transmission of Gaussian beam by a chiral slab[J].Applied Physics B:Lasers and Optics,2016,122:174.
[22]Wang J J,Wriedt T,Lock J A,et al.General description of circularly symmetric Bessel beams of arbitrary order[J].Journal of Quantitative Spectroscopy and Radiative Transfer,2016,184:218-232.
[23]Mitria F G,Li R X,Guo L X,et al.Optical tractor Bessel polarized beams[J].Journal of Quantitative Spectroscopy and Radiative Transfer,2017,187:97-115.
[24]Edmonds A R,Mendlowitz H.Angular momentum in quantum mechanics[M].Princeton:Princeton University Press,1957.
[25]Wang J J,Gouesbet G,Han Y P.Transformations of spherical beam shape coefficients in generalized Lorenz-Mie theories through rotations of coordinate systems:II.Axisymmetric beams[J].Optics Communications,2010,283(17):3226-3234.
[26]Wang M J,Zhang H Y,Liu G S,et al.Reflection and transmission of Gaussian beam by a uniaxial anisotropic slab[J].Optics Express,2014,22(3):3705-3711.