التفاصيل البيبلوغرافية
| العنوان: |
Propagation of doughnut-shaped super-Gaussian beams, convolution theorem and Hankel transform. |
| المؤلفون: |
Bollanti, S., Di Lazzaro, P., Murra, D., Torre, A., Zheng, C.E. |
| المصدر: |
Journal of Modern Optics; 3/10/2005, Vol. 52 Issue 4, p551-561, 11p |
| مصطلحات موضوعية: |
MATHEMATICAL convolutions, FOURIER transforms, OPTICAL transfer function, GAUSSIAN beams, BEAM optics, OPTICS |
| مستخلص: |
The most direct and simple method to calculate analytically the propagation in the far field of a coherent beam with a rectangular symmetry and a super-Gaussian-like irradiance profile involves the use of the convolution theorem. In this paper we extend this method to a circularly symmetric beam, and hence from the Fourier transform to the zero-order Hankel transform. Then, we examine the more complex case of super-Gaussian-like beam irradiance shapes with an axial shadow, as those emitted by unstable resonators with diffraction output coupling or with a variable-reflectivity mirror. The analytical results obtained by approximating the super-Gaussian-like beam with a convolution function and applying the Hankel transform are in excellent agreement with those obtained by numerical simulations. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
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