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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 6 — Feb. 20, 2000
  • pp: 954–961

Analysis of a dephased complex-coupled distributed-feedback laser by the power-series method

Muhammad Arif and Mohammad A. Karim  »View Author Affiliations


Applied Optics, Vol. 39, Issue 6, pp. 954-961 (2000)
http://dx.doi.org/10.1364/AO.39.000954


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Abstract

A novel power-series method to solve the coupled-wave equations is introduced. The method is used to calculate the threshold gain margins of a complex-coupled distributed-feedback laser as functions of the ratio of gain coupling to index coupling (|κ g |/|κ n |) and of the phase difference between the index and the gain gratings. For coupling coefficient |κ|l < 0.9, the laser shows a mode degeneracy at specific values of the ratio |κ g |/|κ n | for cleaved facets. At phase differences π/2 and 3π/2 between the gain and the index gratings, an antireflection-coated complex-coupled laser becomes multimode, and a different mode starts to lase. The effect of facet reflectivity (both magnitude and phase) on the gain margin of a complex-coupled DFB laser is also investigated. Although the gain margin varies slowly with the magnitude of the facet’s reflectivity, it shows large variations as a function of the phase. Spatial hole burning was found to be minimum at phase difference nπ, n = 0, 1 … , and maximum at phase differences π/2 and 3π/2.

© 2000 Optical Society of America

OCIS Codes
(140.3490) Lasers and laser optics : Lasers, distributed-feedback
(140.3580) Lasers and laser optics : Lasers, solid-state
(230.6080) Optical devices : Sources
(270.3430) Quantum optics : Laser theory

History
Original Manuscript: April 13, 1999
Revised Manuscript: September 16, 1999
Published: February 20, 2000

Citation
Muhammad Arif and Mohammad A. Karim, "Analysis of a dephased complex-coupled distributed-feedback laser by the power-series method," Appl. Opt. 39, 954-961 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-6-954


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