A Sharma, A Agrawal - Optical and quantum electronics, 2006 - Springer
A method based on symmetrized splitting of the propagation operator in the finite difference scheme for non-paraxial beam propagation is presented. The formulation allows the solution …
A new beam-propagation method is presented whereby the exact scalar Helmholtz propagation operator is replaced by any one of a sequence of higher-order (n, n) Padé …
A simple beam-propagation method for solving the scalar TE nonparaxial or Helmoltz equation is presented. This versatile algorithm, based on a two-step finite-difference scheme …
R Borghi, M Santarsiero - Optics letters, 2003 - opg.optica.org
It is shown that the approach proposed by Lax [Phys. Rev. A11, 1365 (1975)] for studying the propagation of an electromagnetic beam beyond the paraxial approximation can be …
A new beam-propagation method is presented whereby the Padé approximant wide-angle propagation operator is factored into a series of simpler Padé (1, 1) operators, thus leading …
A Sharma, A Taneja - Optics letters, 1991 - opg.optica.org
The collocation method developed earlier for propagating beams through optical waveguides is unstable for moderately large values of the extrapolation interval. A new …
Exact analytical results are employed in the testing of split-step and finite difference approaches to the numerical solution of the non-paraxial non-linear Schrödinger equation. It …
In this paper it is shown that the inaccuracy in the beam propagation method based on the finite difference scheme, introduced by the use of the slowly varying envelope …