A new method for solving non-linear carrier diffusion equation in axial direction of broad-area lasers
✍ Scribed by Michał Szymański
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 203 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0894-3370
- DOI
- 10.1002/jnm.749
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✦ Synopsis
Abstract
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.