Analytical Fraunhofer diffraction pattern for the semicircle aperture

Alfonso Padilla-Vivanco; Jose Javier Baez-Rojas

doi:10.1117/12.524470

19 November 2003 Analytical Fraunhofer diffraction pattern for the semicircle aperture

Alfonso Padilla-Vivanco, Jose Javier Baez-Rojas

Proceedings Volume 4829, 19th Congress of the International Commission for Optics: Optics for the Quality of Life; (2003) https://doi.org/10.1117/12.524470
Event: 19th Congress of the International Commission for Optics: Optics for the Quality of Life, 2002, Florence, Italy

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.

Citation Download Citation

Alfonso Padilla-Vivanco and Jose Javier Baez-Rojas "Analytical Fraunhofer diffraction pattern for the semicircle aperture", Proc. SPIE 4829, 19th Congress of the International Commission for Optics: Optics for the Quality of Life, (19 November 2003); https://doi.org/10.1117/12.524470

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