Simple spectral method for solving propagation problems in cylindrical geometry with fast Fourier transforms
Optics Letters, Vol. 14, Issue 13, pp. 662-664 (1989)
http://dx.doi.org/10.1364/OL.14.000662
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Abstract
We describe a spectral method for solving the paraxial wave equation in cylindrical geometry that is based on expansion of the exponential evolution operator in a Taylor series and use of fast Fourier transforms to evaluate derivatives. A fourth-order expansion gives excellent agreement with a two-transverse-dimensional split-operator calculation at a fraction of the cost in computation time per z step and at a considerable savings in storage.
© 1989 Optical Society of America
Citation
M. D. Feit and J. A. Fleck, Jr., "Simple spectral method for solving propagation problems in cylindrical geometry with fast Fourier transforms," Opt. Lett. 14, 662-664 (1989)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-14-13-662
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