Exact analytical solution for the vector electromagnetic field of Gaussian, flattened Gaussian, and annular Gaussian laser modes

Optics Letters
Scott M Sepke, Donald P Umstadter

Abstract

The exact vector integral solution for all the electromagnetic field components of a general flattened Gaussian laser mode is derived by using the angular spectrum method. This solution includes the pure and annular Gaussian modes as special cases. The integrals are of the form of Gegenbauer's finite integral and are computed analytically for each case, yielding fields satisfying the Maxwell equations exactly in the form of quickly converging Fourier-Gegenbauer series.

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Citations

Nov 18, 2014·Optics Express·Dmitry A BykovVictor A Soifer
Aug 10, 2017·Optics Express·Justin PeatrossMichael Ware
Oct 23, 2010·Optics Letters·Alexander Cerjan, Charles Cerjan
Aug 25, 2016·Optics Express·Nikita V GolovastikovVictor A Soifer
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexei ZhidkovKoshichi Nemoto
Oct 4, 2007·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Dongmei DengXiangbo Yang

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