skip to main content

SciTech ConnectSciTech Connect

Title: Rational Chebyshev spectral transform for the dynamics of broad-area laser diodes

This manuscript details the use of the rational Chebyshev transform for describing the transverse dynamics of broad-area laser diodes and amplifiers. This spectral method can be used in combination with the delay algebraic equations approach developed in [1], which substantially reduces the computation time. The theory is presented in such a way that it encompasses the case of the Fourier spectral transform presented in [2] as a particular case. It is also extended to the consideration of index guiding with an arbitrary transverse profile. Because their domain of definition is infinite, the convergence properties of the Chebyshev rational functions allow handling the boundary conditions with higher accuracy than with the previously studied Fourier transform method. As practical examples, we solve the beam propagation problem with and without index guiding: we obtain excellent results and an improvement of the integration time between one and two orders of magnitude as compared with a fully distributed two dimensional model.
Authors:
 [1] ;  [2]
  1. Universitat de les Illes Balears, C/Valldemossa, km 7.5, E-07122 Palma de Mallorca (Spain)
  2. Institut Mediterrani d'Estudis Avan├žats, CSIC-UIB, E-07071 Palma de Mallorca (Spain)
Publication Date:
OSTI Identifier:
22465665
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 298; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCURACY; BOUNDARY CONDITIONS; CALCULATION METHODS; CONVERGENCE; DIODE TUBES; FOURIER TRANSFORMATION; KINETIC EQUATIONS; LASERS; POLYNOMIALS; SPECTRA; TWO-DIMENSIONAL CALCULATIONS