The cladded parabolic-index profile waveguide: analysis and application to stripe-geometry lasers
The cladded parabolic-index profile waveguide: analysis and application to stripe-geometry lasers
A two-dimensional real waveguide having a parabolic distribution of dielectric permittivity in the core region, flanked by cladding layers of constant refractive index is proposed as a model for a class of stripe-geometry injection lasers. The model is analysed by a series-solution method and results are given in terms of plots of normalized propagation constant, near-field filling factor, and far-field half-angle, all versus normalized frequency. These results are compared with those for the alternative models of (a) a homogeneous core waveguide, and (b) a medium whose dielectric permittivity varies quadratically with position throughout the whole of space. Apart from the series-solution method which was employed, a survey is included of other techniques available for analysing this waveguide model. These include perturbation theory, variational analysis, an exact solution of the scalar wave equation, and the WKB approximation.
17-29
Adams, M.J.
4a9df701-bc4d-492e-a54e-de6d526d3083
1978
Adams, M.J.
4a9df701-bc4d-492e-a54e-de6d526d3083
Adams, M.J.
(1978)
The cladded parabolic-index profile waveguide: analysis and application to stripe-geometry lasers.
Optical and Quantum Electronics, 10 (1), .
(doi:10.1007/BF00620240).
Abstract
A two-dimensional real waveguide having a parabolic distribution of dielectric permittivity in the core region, flanked by cladding layers of constant refractive index is proposed as a model for a class of stripe-geometry injection lasers. The model is analysed by a series-solution method and results are given in terms of plots of normalized propagation constant, near-field filling factor, and far-field half-angle, all versus normalized frequency. These results are compared with those for the alternative models of (a) a homogeneous core waveguide, and (b) a medium whose dielectric permittivity varies quadratically with position throughout the whole of space. Apart from the series-solution method which was employed, a survey is included of other techniques available for analysing this waveguide model. These include perturbation theory, variational analysis, an exact solution of the scalar wave equation, and the WKB approximation.
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Published date: 1978
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Local EPrints ID: 78722
URI: http://eprints.soton.ac.uk/id/eprint/78722
ISSN: 0306-8919
PURE UUID: a0ebc0bc-1b96-4670-b454-d2b3798f9e1e
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Date deposited: 11 Mar 2010
Last modified: 14 Mar 2024 00:21
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Author:
M.J. Adams
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