Premium
A new method for solving non‐linear carrier diffusion equation in axial direction of broad‐area lasers
Author(s) -
Szymański Michał
Publication year - 2010
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.749
Subject(s) - wkb approximation , diffusion , laser , diffusion equation , constant (computer programming) , linearity , carrier lifetime , mathematical analysis , mathematics , optics , physics , quantum mechanics , computer science , optoelectronics , economy , silicon , economics , programming language , service (business)
The solution of non‐linear carrier diffusion equation associated with the axial direction of broad‐area laser has been achieved by a hybrid asymptotic‐numerical method that combines WKB approximation and the variation of constants method. The non‐linearity has been taken into account by using an iterative scheme: carrier lifetime has been linearized and calculated as a function of carrier density known from the previous iteration. Non‐uniform photon density has been taken into account. As the new method is based on analytical solutions, it is very fast and not vulnerable to large gradients of carrier concentration usually occurring in the vicinity of laser facets. Therefore, it can be useful in complicated self‐consistent thermal models of broad‐area lasers. The obtained results are compared with two simplified cases: solution of linear diffusion equation with constant coefficients and calculations neglecting the diffusion. Copyright © 2010 John Wiley & Sons, Ltd.