Using Collins formula and the expansion of Mathieu beams in terms of Bessel beams we derive the exact propagation equations of Mathieu-Gauss beams through an apertured paraxial ABCD optical system. A comparison between the exact propagation equations and the approximated ones, which are derived by e
Propagation of generalized Bessel-Gauss beams through ABCD optical systems
β Scribed by Massimo Santarsiero
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 495 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0030-4018
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π SIMILAR VOLUMES
Based on the relationship between separable solutions of the Helmholtz equation, we expanded the fieldΓs amplitude associated with Mathieu beams in terms of Bessel beams. By using the expansion of the circ function into a finite sum of complex Gaussian functions, we derived an approximated analytica
Using the derived formulas for the transformation of 2 Γ 2 cross-spectral density matrix of the stochastic electromagnetic beams propagating through ABCD optical systems and in the turbulent atmosphere, the changes in the generalized Stokes parameters of the beams propagating under these conditions