Modal Properties of Vertical Cavity Surface Emitting Laser Arrays under the Influence of Thermal Lensing

  • N. N. Elkin
  • A. P. Napartovich
  • D. V. Vysotsky
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8236)


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.


Active Layer Quantum Well Reference Plane Thermal Lens Laser Array 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • N. N. Elkin
    • 1
  • A. P. Napartovich
    • 1
  • D. V. Vysotsky
    • 1
  1. 1.State Science Center Troitsk Institute for Innovation and Fusion Research(TRINITI)Moscow RegionRussia

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