强激光与粒子束, 2011, 23 (2): 349, 网络出版: 2011-03-02  

高斯-谢尔模型光束通过杨氏双缝衍射后的解析传输公式

Analytical propagation formula of Gaussian-Schell model beams passing through Young’s double slits
作者单位
四川大学 物理科学与技术学院, 成都 610064
摘要
通过将杨氏双缝窗口函数表示为复高斯函数叠加的方法, 从Collins公式出发推导出了高斯-谢尔模型(GSM)光束通过杨氏双缝和ABCD光学系统后光强的近似解析表达式。利用该公式作了数值计算, 通过与Collins公式计算结果进行比较, 确定了该公式的适用范围, 研究了相干长度和双缝中心遮拦比对解析公式适用范围的影响, 并对该公式的应用前景作了展望。
Abstract
By expanding the window function of double-slit aperture into a finite sum of complex Gaussian functions and from the Collins formula, the approximate analytical propagation equation of Gaussian-Schell model(GSM) beams passing through Young’s double silts and ABCD optical system is derived. The validity region of the approximate analytical formula is given by comparing the results obtained from the analytical formula with those from the Collins formula. The effect of the spatial correlation length of GSM beams and the central obstruction ratio of Young’s double slits on the validity region of the approximate analytical formula is studied, and the application prospect of the formula is also presented.
参考文献

[1] Collins S A. Lens-system diffraction integral written in terms of matrix optics[J]. J Opt Soc Am, 1970, 60(7): 1168-1177.

[2] Wang L, Lü B D. Irradiance distribution in Young’s experiment with partially coherent light[J]. Optik, 2001, 112(12): 545-549.

[3] Wen J J, Breazeale M A. A diffraction beam field expressed as the superposition of Gaussian beams[J]. J Acoust Soc Am, 1988, 83(5): 1752-1756.

[4] Vicari L, Bloisi F. Matrix representation of axisymmetric optical systems including spatial filters[J]. Appl Opt, 1989, 28(21): 4682-4686.

[5] 罗时荣,吕百达.平顶高斯光束在有光阑光学系统中的传输[J].中国激光, 2002, 29(5): 425-428.(Luo Shirong, Lü Baida. Propagation of flattened Gaussian beams through an aperture optical system. Chin J Lasers, 2002, 29(5): 425-428)

[6] 季小玲,吕百达.厄米-高斯光束通过多个硬边光阑复杂光学系统变换的计算模拟[J].强激光与粒子束, 2003, 15(9): 845-849.(Ji Xiaoling, Lü Baida. Numerical simulation of the transformation of Hermite-Gaussian beams through a complicated optical system with multiple hard-edged apertures. High Power Laser and Particle Beams, 2003, 15(9): 845-849)

[7] 赵光普,吕百达.光束通过硬边光阑光学系统变换的改进算法[J].强激光与粒子束, 2004, 16(6): 707-711.(Zhao Guangpu, Lü Baidu. Improved algorithm for beam transformation through hard-aperture optics. High Power Laser and Particle Beams, 2004, 16(6): 707-711)

[8] Friberg A T, Turnuen J. Imaging of Gaussian-Schell model sources[J]. J Opt Soc Am A, 1988, 5(5): 713-720.

[9] 邹凤梧, 刘中柱, 周怀春,等.积分表汇编[M].北京: 宇航出版社, 1992: 274.(Zou Fengwu, Liu Zhongzhu, Zhou Huaichun, et al. Integration table compilation. Beijing: China Astronautic Publishing House, 1992: 274)

[10] Pan Liuzhan, Lü Baida. The spectral switch of partially coherent light in Young’s experiment[J]. IEEE J Quant Electron, 2001, 37(11): 1377-1381.

[11] 潘留占,吕百达.杨氏实验远场的光谱位移和光谱开关[J].光学学报, 2003, 23(6): 707-711.(Pan Liuzhan, Lü Baida. Spectral shifts and spectral switches in Young’s experiment at the far zone. Acta Optica Sinica, 2003, 23(6): 707-711)

[12] 赵光普,吕百达.光谱开关与多色光场的奇点光学效应[J].物理学报, 2008, 57(4): 2229-2235.(Zhao Guangpu, Lü Baida. Spectral switches and effect in singular optics with polychromatic light field. Acta Physica Sinica, 2008, 57(4): 2229-2235)

王劼予, 杨林, 刘巧君, 罗时荣, 左浩毅. 高斯-谢尔模型光束通过杨氏双缝衍射后的解析传输公式[J]. 强激光与粒子束, 2011, 23(2): 349. Wang Jieyu, Yang Lin, Liu Qiaojun, Luo Shirong, Zuo Haoyi. Analytical propagation formula of Gaussian-Schell model beams passing through Young’s double slits[J]. High Power Laser and Particle Beams, 2011, 23(2): 349.

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!