Propagation properties of beams generated by Gaussian mirror resonator in fractional Fourier transform plane

Abstract

Based on the definition of the fractional Fourier transform (FRFT) and irradiance moments in the cylindrical coordinate system, the propagation expressions and kurtosis parameter of beams generated by Gaussian mirror resonator passing through the ideal fractional Fourier transformation systems are obtained. The propagation properties and kurtosis parametric characteristic of the beams in the FRFT plane are analyzed in detail. Some numerical examples are given to illustrate the analytical results. The influences of the fractional order on the intensity distribution and the kurtosis parameter of the beams are also investigated. The results show that the intensity distribution and the kurtosis parameter of the beams in the FRFT plane are closely related to the fractional order and beam parameters.

Keywords

Gaussian mirror resonator / fractional Fourier transform (FRFT) / propagation property / kurtosis parameter

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Acknowledgements

This work was supported by the Scientific Found of Jiangsu Polytechnic University (No. ZMF08020014) and the Scientific Research Found of Jiangsu Provincial Education Department (No. 08KJD140007).

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg