New method for nonparaxial beam propagation

A Sharma, A Agrawal - JOSA A, 2004 - opg.optica.org
A new method for solving the wave equation is presented that is nonparaxial and can be
applied to wide-angle beam propagation. It shows very good stability characteristics in the …

Non-paraxial split-step finite-difference method for beam propagation

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 …

Wide-angle beam propagation using Padé approximant operators

GR Hadley - Optics Letters, 1992 - opg.optica.org
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 …

Simple nonparaxial beam-propagation method for integrated optics

HE Hernandez-Figueroa - Journal of lightwave technology, 1994 - ieeexplore.ieee.org
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 …

Summing Lax series for nonparaxial beam propagation

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 …

Multistep method for wide-angle beam propagation

GR Hadley - Optics Letters, 1992 - opg.optica.org
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 …

[引用][C] A wide-angle vector beam propagation method

WP Huang, CL Xu - IEEE photonics technology letters, 1992 - ieeexplore.ieee.org
A wide-angle vector beam propagation method Page 1 1118 IEEE PHOTONICS TECHNOLOGY
LE’ITERS, VOL. 4, NO. 10, OCTOBER 1992 [8] R. Kowarschik, “Diffraction efficiency of …

Unconditionally stable procedure to propagate beams through optical waveguides using the collocation method

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 …

Non-paraxial beam propagation methods

P Chamorro-Posada, GS McDonald, GHC New - Optics Communications, 2001 - Elsevier
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 …

On the accuracy of the finite difference method for applications in beam propagating techniques

H Hoekstra, GJM Krijnen, PV Lambeck - Optics communications, 1992 - Elsevier
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 …