光学学报, 2002, 22 (5): 542, 网络出版: 2006-08-08
部分相干光的张量ABCD定律
Tensor ABCD Law for Partially Coherent Beams
摘要
运用张量方法引入了描写部分相干非轴对称高斯谢尔模(GSM)光束的4×4阶部分相干复曲率张量M-1,导出了适用于部分相干光传输的张量ABCD定律.利用该公式对一般的非轴对称高斯谢尔模光束经过自由空间的传输进行了计算.结果表明,部分相干光的张量ABCD定律是处理高斯谢尔模光束传输的一种简单而有效的方法.
Abstract
A new 4×4 complex curvature tensor M -1 is introduced to describe the partially coherent anisotropic Gaussion-Schell model beams (GSM). An analytical propagation formula for the cross-spectral density of partially coherent anisotropic GSM beam is derived through vector integration. The propagation law of M -1 is also derived which may be called partially coherent tensor ABCD law. The analytical formulas are very useful in treating the propagation and transformation of partially coherent anisotropic Gaussian-Schell mode beams, which include the previous results for completely coherent Gaussian beams as special cases.As an application example, the propagation of general anisotropic GSM beam in free space is illustrated by using the derived formulas properties of partially coherent anisotropic Gaussian-Schell model beams are closely related with the phase front curvature matrix and the twist factor.
蔡阳健, 林强. 部分相干光的张量ABCD定律[J]. 光学学报, 2002, 22(5): 542. 蔡阳健, 林强. Tensor ABCD Law for Partially Coherent Beams[J]. Acta Optica Sinica, 2002, 22(5): 542.