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Proceedings Paper

Analytical Fraunhofer diffraction pattern for the semicircle aperture
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Paper Abstract

We describe the analytical calculation for the Fourier transform of the semicircle aperture function. The calculation is presented in polar co-ordinates. The Fourier transform is composed of the sum of the typical Bessel's function of one order plus a complex infinite power-series of radial terms with angular coefficients which are obtained from a recurrence formulae. A digital image of the Fourier transform via the FFT of the binary semicircle aperture is presented.

Paper Details

Date Published: 19 November 2003
PDF: 2 pages
Proc. SPIE 4829, 19th Congress of the International Commission for Optics: Optics for the Quality of Life, (19 November 2003); doi: 10.1117/12.524470
Show Author Affiliations
Alfonso Padilla-Vivanco, Instituto Nacional de Astrofisica Optica Electro (Mexico)
Jose Javier Baez-Rojas, Instituto Nacional de Astrofisica Optica Electro (Mexico)


Published in SPIE Proceedings Vol. 4829:
19th Congress of the International Commission for Optics: Optics for the Quality of Life
Giancarlo C. Righini; Anna Consortini, Editor(s)

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