中国激光, 2002, 29 (3): 223, 网络出版: 2006-08-08  

厄米-高斯光束通过失调光学系统的变换和偏心厄米-高斯光束

Propagation of Hermite-Gaussian Beams through a Misaligned First-order Optical System and Decentered Hermite-Gaussian Beams
作者单位
四川大学激光物理与化学研究所,四川成都,610064
摘要
使用广义惠更斯-菲涅耳衍射积分,增广矩阵和Wigner分布函数方法,研究了厄米-高斯光束通过失调一阶ABCD光学系统的传输特性.证明了在失调光学系统的作用下,厄米-高斯光束不保持封闭性.失调一阶ABCD光学系统的作用使出射光束变为更一般的具有偏心性质的厄米-高斯光束,称其为偏心厄米-高斯光束,通常的偏心高斯光束可看作本文研究的偏心厄米-高斯光束的特殊情况.
Abstract
Propagation properties of Hermite-Gaussian beams through a misaligned first-order ABCD optical systems are studied using the generalized Huygens-Fresnel diffraction integral, augmented matrix and Wigner distribution function methods. It is shown that, as a Hermite-Gaussian beam passes through the misaligned first-order ABCD optical system, the closed property is not preserved. The action of the misaligned first-order ABCD optical system turns the output beam into a more general class of beam having the decentered property, which can be called the decentered Hermite-Gaussian beam. The usual Hermite-Gaussian beam and decentered Gaussian beam can be regarded as its special cases.
参考文献

[1] A. Siegman. Lasers [M]. Oxford, UK: Oxford U. Press, 1986. Chap.19

[2] . Gori, G. Guattari. A new type of optical fields[J]. Opt. Comm., 1983, 48(1): 7-12.

[3] . Simon, E. C. G. Sudarshan, N. Mukunda, Anisotropic Gaussian Schell-model beams: Passage through optical systems and associated invariants[J]. Phys. Rev. A, 1985, 31(4): 2419-2434.

[4] . Simon, N. Mukunda. Twisted Gaussian Schell-model beams[J]. J. Opt. Soc. Am. A, 1993, 10(1): 95-109.

[5] . Names, A. E. Siegman. Measurement of all ten second-order moments of an astigmatic beam by the use of rotating simple astigmatic (anamorphic) optics[J]. J. Opt. Soc. Am. A, 1994, 11(8): 2257-2264.

[6] . Simon, N. Mukunda. Gaussian Schell-model beams and general shape invariance[J]. J. Opt. Soc. Am. A, 1999, 16(10): 2465-2475.

[7] . -A. R. Al-Rashed, B. E. A. Saleh. Decentered Gaussian beams[J]. Appl. Opt., 1995, 34(30): 6819-6825.

[8] . Palma. Decentered Gaussian beams, ray bundles, and Bessel-Gauss beams[J]. Appl. Opt., 1997, 36(6): 1116-1120.

[9] . Lü, H. Ma. Coherent and incoherent off-axis Hermite-Gaussian beam combinations[J]. Appl. Opt., 2000, 39(8): 1279-1289.

[10] B. Lü, H. Ma. Coherent and incoherent combinations of off-axis Gaussian beams with rectangular symmetry [J]. Opt. Comm., 1999, 171(4~6):185~194

[11] . Nazarathy, A. Hardy, J. Shamir. Misaligned first-order optics: canonical operator Theory[J]. J. Opt. Soc. Am. A, 1986, 3(3): 1360-1369.

[12] . J. Bastiaans. Wigner distribution function and its application to first-order optics[J]. J. Opt. Soc. Am., 1979, 69(12): 1710-1716.

丁桂林, 吕百达. 厄米-高斯光束通过失调光学系统的变换和偏心厄米-高斯光束[J]. 中国激光, 2002, 29(3): 223. 丁桂林, 吕百达. Propagation of Hermite-Gaussian Beams through a Misaligned First-order Optical System and Decentered Hermite-Gaussian Beams[J]. Chinese Journal of Lasers, 2002, 29(3): 223.

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!