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Paraxial propagation of a partially coherent flattened Gaussian beam through apertured ABCD optical systems |
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| Authors: | Yangjian Cai, Xiang Lü , Halil T. Eyyubo lu,Yahya Baykal |
| Affiliation: | aMax-Planck-Research-Group, Institute of Optics, Information and Photonics, University of Erlangen, Staudtstr. 7/B2, D-91058 Erlangen, Germany bInstitute of Optical Information Engineering, Zhejiang Normal University, Jinhua 321004, China cDepartment of Electronic and Communication Engineering, Çankaya University, Öğretmenler Cad. 14, Yüzüncüyıl, 06530 Balgat, Ankara, Turkey |
| Abstract: | By expanding the hard aperture function into a finite sum of complex Gaussian functions, some approximate analytical formulae for the cross-spectral density of a partially coherent flattened Gaussian beam (FGB) propagating through apertured aligned and misaligned ABCD optical systems are derived based on the generalized Collins formula. The results obtained by using the approximate analytical formula are in good agreement with those obtained by using the numerical integral calculation. As a numerical example, the focusing properties (including average irradiance distribution and focal shift) of a partially coherent FGB focused by an apertured thin lens are studied, and it is found that the focusing properties of a partially coherent FGB are closely related to its initial coherence and the aperture width. Our results provide an effective and fast way for studying the paraxial propagation of a partially coherent FGB through apertured ABCD optical systems. |
| Keywords: | Flattened Gaussian beam Propagation Optical system |
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