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arXiv · 1507.04621

Generalized revival and splitting of an arbitrary optical field in GRIN media

H. M. Moya-Cessa·F. Soto-Eguibar·V. Arrizon·A. Zúñiga-Segundo
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Abstract

Assuming a non-paraxial propagation operator, we study the propagation of an electromagnetic field with an arbitrary initial condition in a quadratic GRIN medium. We show that at certain specific periodic distances, the propagated field is given by the fractional Fourier transform of a superposition of the initial field and of a reflected version of it. We also prove that for particular wavelengths, there is a revival and a splitting of the initial field. We apply this results, first to an initial field given by a Bessel function and show that it splits into two generalized Bessel functions, and second, to an Airy function. In both cases our results are compared with the exact numerical ones.

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H. M. Moya-Cessa, F. Soto-Eguibar, V. Arrizon, A. Zúñiga-Segundo. 2016-03-10. Generalized revival and splitting of an arbitrary optical field in GRIN media. https://arxiv.org/abs/1507.04621

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