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Perturbation theory for the wave equation and the "Effective refractive index" approach

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2 Author(s)
Frateschi, N.C. ; UNICAMP, S. P. , Brazil ; De Castro, A.

We describe an Au and Aharonov type perturbation theory for the two-dimensional scalar wave equation. As an application, we show that the "effective refractive index" method is related to the first-order correction to the eigenstate. In addition, we compare results obtained for the gain G in a typical laser structure using either the present theory or averaging the imaginary part of the refractive index over the fields ("average modal gain" G ). The results agree to about 8 percent in a test case where the perturbative result is, in fact, exact. It is concluded that the perturbative approach will, in general, be more reliable.

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Quantum Electronics, IEEE Journal of  (Volume:22 ,  Issue: 1 )