A two-dimensional optical field paraxial propagation scheme, in Cartesian and cylindrical coordinate systems, is proposed. This is achieved by extending the method originally proposed by Ladouceur [Opt. Lett.21, 4 (1996)] for boundaryless beam propagation to two-dimensional optical wave fields. With this formulation the arbitrary choice of physical window size is avoided by mapping the infinite transverse dimensions into a finite-size domain with an appropriate change of variables, thus avoiding the energy loss through the artificial physical boundary that is usually required for the absorbing or the transparent boundary approach.
© 2006 Optical Society of America
Diffraction and Gratings
Original Manuscript: July 8, 2005
Revised Manuscript: October 14, 2005
Manuscript Accepted: October 20, 2005
Manuel Guizar-Sicairos and Julio C. Gutiérrez-Vega, "Boundaryless finite-difference method for three-dimensional beam propagation," J. Opt. Soc. Am. A 23, 866-871 (2006)