A method to calculate arbitrary linear polarized laser beam evolutions in GRIN lenses

Ko-Fan Tsai; Shu-Chun Chu

doi:10.1117/12.2001478

5 March 2013 A method to calculate arbitrary linear polarized laser beam evolutions in GRIN lenses

Ko-Fan Tsai, Shu-Chun Chu

Proceedings Volume 8637, Complex Light and Optical Forces VII; 86370N (2013) https://doi.org/10.1117/12.2001478
Event: SPIE OPTO, 2013, San Francisco, California, United States

Abstract

This study proposed a method for calculating any arbitrarily linear polarization paraxial optical field propagation in Gradient-index (GRIN) lens. The proposed method uses multiple thin-phase sheets to approximate a GRIN lens. This study also compares the proposed method with the other well-known method. That is, using a single lens equivalent optical system of Fractional Fourier transform (FrFT) to simulate a GRIN lens. The evolution in GRIN lenses of many special beams have been calculated by the FRFT-method. This study use both methods to calculate the Helmholtz-Gauss beam evolution in GRIN lenses of a small and a high gradient constant, respectively. Numerical results shows that the differences between two calculation methods appeared while the GRIN lens of a high gradient constant. This study provides an alternative approach could calculate the linearly polarized field evolution in GRIN lenses with higher precision, which will be useful to the optical design of GRIN lens systems.

Citation Download Citation

Ko-Fan Tsai and Shu-Chun Chu "A method to calculate arbitrary linear polarized laser beam evolutions in GRIN lenses", Proc. SPIE 8637, Complex Light and Optical Forces VII, 86370N (5 March 2013); https://doi.org/10.1117/12.2001478

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