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Paraxial propagation of a partially coherent Hermite-Gaussian beam through aligned and misaligned ABCD optical systems

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Cai,  Yangjian
Max Planck Research Group, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Cai, Y., & Chen, C. (2007). Paraxial propagation of a partially coherent Hermite-Gaussian beam through aligned and misaligned ABCD optical systems. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 24(8), 2394-2401. doi:10.1364/JOSAA.24.002394.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6D28-5
Abstract
Paraxial propagation of a partially coherent Hermite-Gaussian beam through aligned and misaligned ABCD optical systems is investigated based on the generalized Collins formula for treating the propagation of a partially coherent beam through such optical systems. Analytical formulas for the cross-spectral density of a partially coherent Hermite-Gaussian beam propagating through such optical systems are derived. As an application example, we derive the propagation formulas for a partially coherent flattened Gaussian beam by expressing it as a superposition of a series of partially coherent Hermite-Gaussian beams by using polynomial expansion. The focusing properties of a partially coherent Hermite-Gaussian beam focused by a thin lens are studied as a numerical example. (c) 2007 Optical Society of America.