Abstract
Modal behavior of an 5 ×5 array of vertical cavity surface emitting lasers (VCSEL) was studied numerically. Thermal lensing was simulated by the temperature profile set as a quadratic function of a polar radius. Mathematical formulation of the problem consists of self-consistent solution of the 3D Helmholtz wave equation and 2D non-linear diffusion equation as the material equation of the active laser medium. Complete formulation of the problem contains boundary conditions and an eigenvalue to be determined. Bidirectional beam propagation method was taken as a basis for numerical algorithms. Above-threshold operation of laser array was simulated using round-trip iterations similar to the Fox-Li method. In addition, the Arnoldi algorithm was implemented to find several high-order optical modes in a VCSEL array with gain and index distributions established by the oscillating mode.
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Elkin, N.N., Napartovich, A.P., Vysotsky, D.V. (2013). Modal Properties of Vertical Cavity Surface Emitting Laser Arrays under the Influence of Thermal Lensing. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2012. Lecture Notes in Computer Science, vol 8236. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41515-9_28
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DOI: https://doi.org/10.1007/978-3-642-41515-9_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-41514-2
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