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Numerical Solution of Large Non-Hermitian Eigenvalue Problem Arising from Model of Vertical Cavity Surface Emitting Laser Array

Lecture notes in computer science, 2003, p.430-437 [Peer Reviewed Journal]

Springer-Verlag Berlin Heidelberg 2003 ;2003 INIST-CNRS ;ISSN: 0302-9743 ;ISBN: 3540006087 ;ISBN: 9783540006084 ;EISSN: 1611-3349 ;EISBN: 9783540364870 ;EISBN: 3540364870 ;DOI: 10.1007/3-540-36487-0_48

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  • Title:
    Numerical Solution of Large Non-Hermitian Eigenvalue Problem Arising from Model of Vertical Cavity Surface Emitting Laser Array
  • Author: Elkin, Nikolay N.
  • Subjects: Absorb Boundary Condition ; Krylov Subspace ; Laser Array ; Mixed Symmetry ; Vertical Cavity Surface Emit Laser
  • Is Part Of: Lecture notes in computer science, 2003, p.430-437
  • Description: Modal behavior of a 2-D (square lattice geometry) antiguided vertical cavity surface emitting laser (VCSEL) array was studied numerically. The background of the numerical model of VCSEL array is scalar diffraction theory and 3-D bidirectional beam propagation method. Resonator modes were found as eigen-functions of the socalled round-trip operator which transforms the transverse distribution of electro-magnetic field when light have a round-trip in the device. The round-trip operator after corresponding discretization becomes a linear non-hermitian operator in a complex linear large dimensional space. Using the Arnoldi algorithm, a number of array optical modes were found. In calculations, both Fourier and space variable descriptions of beam propagation were combined. Calculations were made for various spacing length between elements and a size of the array. 4x4 and 10x10 laser arrays were studied numerically. Array optical modes having different symmetry properties were found. They include in-phase mode with constant phase over the array, out-of-phase mode with alternating phase between elements and modes with mixed symmetry. Conditions are found for favorable lasing of the in-phase mode providing high laser beam quality.
  • Publisher: Berlin, Heidelberg: Springer Berlin Heidelberg
  • Language: English;Russian
  • Identifier: ISSN: 0302-9743
    ISBN: 3540006087
    ISBN: 9783540006084
    EISSN: 1611-3349
    EISBN: 9783540364870
    EISBN: 3540364870
    DOI: 10.1007/3-540-36487-0_48
  • Source: Alma/SFX Local Collection
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