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Applied Optics

Applied Optics


  • Vol. 40, Iss. 24 — Aug. 20, 2001
  • pp: 4308–4315

Bloch analysis of photonic lattices that incorporate vertical cavity surface-emitting laser arrays

Tal A. Fishman, Amos Hardy, and Eli Kapon  »View Author Affiliations

Applied Optics, Vol. 40, Issue 24, pp. 4308-4315 (2001)

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We analyzed one-dimensional photonic lattices that incorporate mirror-modulated vertical cavity surface-emitting laser arrays utilizing the Bloch formalism. First, infinitely long arrays are considered. The in-phase mode (with a main central lobe at the far field) and antiphase mode (with two main symmetrically-located lobes at the far-field) are examined. A comparison of the modal losses of the in-phase and the antiphase modes, resulted in the discovery of regimes in which the in-phase mode is dominant. Considering lattices of finite length, we compared the results of the Bloch model to the exact solutions. It is shown that the boundary conditions in these lattices select a specific mode from the continuous spectrum in the infinite case. Consequently, the lattice’s length affects the eigenmodes and the corresponding eigenvalues in a periodic manner.

© 2001 Optical Society of America

OCIS Codes
(140.3290) Lasers and laser optics : Laser arrays
(250.7260) Optoelectronics : Vertical cavity surface emitting lasers

Original Manuscript: May 30, 2000
Revised Manuscript: March 29, 2001
Published: August 20, 2001

Tal A. Fishman, Amos Hardy, and Eli Kapon, "Bloch analysis of photonic lattices that incorporate vertical cavity surface-emitting laser arrays," Appl. Opt. 40, 4308-4315 (2001)

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