Paper
1 September 2004 Theory of vertical cavity surface emitting lasers with external feedback
Anatoly P. Napartovich, Nikolay N. Elkin, Vera N. Troshchieva, Dmitri V. Vysotsky
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Abstract
Single-mode high-power emission from a single VCSEL can be achieved by means of mode control in an external resonator. A problem arises how to analyse interference between wave field coming from external resonator to VCSEL structure. Analytical approach is formulated allowing for simplified description of the system. Numerical approach is based on 3-D bi-directional beam propagation method. Modal content and discrimination of higher-order modes in passive resonator are examined. Besides, above threshold operation of optical modes is simulated using multiple iterations. A method based on functions of Krylov's subspace, is developed to find a number of optical modes in a VCSEL with gain and index distributions established by the oscillating mode. In calculations, both Fourier and space variable descriptions of beam propagation are combined. This approach allows us to evaluate critical conditions for single-mode operation.
© (2004) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Anatoly P. Napartovich, Nikolay N. Elkin, Vera N. Troshchieva, and Dmitri V. Vysotsky "Theory of vertical cavity surface emitting lasers with external feedback", Proc. SPIE 5452, Semiconductor Lasers and Laser Dynamics, (1 September 2004); https://doi.org/10.1117/12.545259
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KEYWORDS
Vertical cavity surface emitting lasers

Mirrors

Refractive index

Reflection

Resonators

Diffraction

Beam propagation method

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