| Autor: | H. P. Blok, Roel Baets, Bart Demeulenaere, Daan Lenstra, Jan Haes, Td Visser |
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| Rok vydání: | 1997 |
| Předmět: |
Modal gain
Physics business.industry Mathematical analysis Perturbation (astronomy) Solver First order Atomic and Molecular Physics and Optics Electronic Optical and Magnetic Materials Optics Index point Fundamental difference Dispersion relation Electrical and Electronic Engineering business Computer communication networks |
| Zdroj: | Optical and Quantum Electronics. 29:263-273 |
| ISSN: | 0306-8919 |
| DOI: | 10.1023/a:1018514424449 |
| Popis: | The commonly used confinement factor-based formula for modal gain in amplifying waveguides – gmod=Γgmat, with Γ a confinement factor – is well established and accurate for TE modes. The TM case is rarely, and sometimes erroneously, described in the literature. Using a variational formulation the fundamental difference between TE and TM modal gain is illustrated. An accurate expression, correct up to first order, for the TM modal gain is then derived from a known general perturbation formula. However, as this does not lead to a true confinement factor formulation, some approximations are introduced, leading to a unified formulation of both TE and TM modal gain. A second method to calculate the modal gain, based on the analyticity of the dispersion equation, is also discussed. Simulation and comparison with modal gain values from a complex mode solver will finally illustrate the validity of the different approaches. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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