Propagation of doughnut-shaped super-Gaussian beams, convolution theorem and Hankel transform
| العنوان: | Propagation of doughnut-shaped super-Gaussian beams, convolution theorem and Hankel transform |
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| المؤلفون: | Sarah Bollanti, P. Di Lazzaro, Amalia Torre, Daniele Murra, Cheng En Zheng |
| المصدر: | Journal of Modern Optics. 52:551-561 |
| بيانات النشر: | Informa UK Limited, 2005. |
| سنة النشر: | 2005 |
| مصطلحات موضوعية: | Physics, Hankel transform, business.industry, Discrete-time Fourier transform, Mathematical analysis, Atomic and Molecular Physics, and Optics, Discrete Fourier transform, Circular convolution, Convolution, symbols.namesake, Optics, Fourier transform, Fraunhofer diffraction equation, symbols, business, Gaussian beam |
| الوصف: | 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. |
| تدمد: | 1362-3044 0950-0340 |
| DOI: | 10.1080/09500340410001725973 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::9d1143344295ae479b8d27954f7fada0 https://doi.org/10.1080/09500340410001725973 |
| رقم الانضمام: | edsair.doi...........9d1143344295ae479b8d27954f7fada0 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 13623044 09500340 |
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| DOI: | 10.1080/09500340410001725973 |