Complex-Valued ABCD Matrices and Speckle Metrology
Complex-Valued ABCD Matrices and Speckle Metrology
复制标题
复值 ABCD 矩阵和散斑计量
DOI：
10.1007/978-1-4939-3028-9_14
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
H. Yura
中科院分区：
文献类型：
--
作者：
S. Hanson;M. Jakobsen;H. Yura
我们表明，在近轴射线近似的光通过一个复杂的光学系统的传播可以制定在惠更斯原理表示与完整的系统的ABCD矩阵元素。因此，通过光学系统的传播简化为计算相关矩阵元素并将其代入此处导出的表达式。我们引入了复值矩阵元素来表示孔径，从而具有描述中固有的衍射特性。我们把Baues和柯林斯的处理方法推广到包括部分相干光源、有限尺寸的光学元件和沿光路沿着分布的随机不均匀性，在许多情况下（如激光束传播和高斯光学），我们已经能够导出观察平面上光场量的简单解析表达式。分析了一系列激光光学测量系统，给出了其主要参数的解析表达式。具体来说，散射粗糙表面不产生一个充分发展的斑点场，各种风速计和系统测量旋转速度已被处理，以显示复杂的ABCD矩阵的好处。
We demonstrate that within the paraxial ray approximation the propagation of light through a complex optical system can be formulated in terms of a Huygens principle expressed with the complete system’s ABCD-matrix elements. As such, propagation through an optical system reduces to that of calculating the relevant matrix elements and substituting these into the expressions derived here. We have introduced complex-valued matrix element to represent apertures, thus having diffraction properties inherent in the description. We have extended the treatments of Baues and Collins to include partially coherent light sources, optical elements of finite size, and distributed random inhomogeneity along the optical path. In many cases (eg, laser beam propagation and Gaussian optics) we have been able to derive simple analytical expressions for the optical field quantities at an observation plane. A series of laser-based optical measurement systems have been analyzed and analytical expressions for their main parameters have been given. Specifically, scattering from rough surfaces not giving rise to a fully developed speckle field, various anemometers and systems for measuring rotational velocity have been treated in order to show the benefits of the complex ABCD matrices.
复杂 ABCD 光学系统中动态激光散斑的复杂振幅相关性，
DOI：
--
发表时间：
2006
期刊：
J.Opt.Soc.Am.A Vol. 23, No. 9
影响因子：
--
作者：
W. Wang;S. G. Hanson;M. Takeda
通讯作者：
M. Takeda
DOI：
10.1364/josaa.25.002338
发表时间：
2008-09
期刊：
Journal of the Optical Society of America. A, Optics, image science, and vision
影响因子：
--
作者：
S. Hanson;Wei Wang;M. Jakobsen;M. Takeda
通讯作者：
S. Hanson;Wei Wang;M. Jakobsen;M. Takeda
影响因子：
2.9
作者：
Xianwen Kuang;Rining Wei
通讯作者：
Xianwen Kuang;Rining Wei