OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 16, Iss. 1 — Jan. 1, 1999
  • pp: 38–45

Injection-locking analysis of vertical-cavity laser arrays

Tal Fishman and Amos Hardy  »View Author Affiliations

JOSA B, Vol. 16, Issue 1, pp. 38-45 (1999)

View Full Text Article

Acrobat PDF (266 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Conditions for the injection locking of vertical-cavity laser arrays are considered. The injection power required for locking to be achieved depends on various parameters such as the injected-field distribution and frequency as well as the array geometry and pumping strength. The circulating field distribution, driven by the injected field, is controlled mainly by the frequency detuning from the laser resonances as well as by the injected-field distribution.

© 1999 Optical Society of America

OCIS Codes
(140.2010) Lasers and laser optics : Diode laser arrays
(140.3520) Lasers and laser optics : Lasers, injection-locked
(250.7260) Optoelectronics : Vertical cavity surface emitting lasers

Tal Fishman and Amos Hardy, "Injection-locking analysis of vertical-cavity laser arrays," J. Opt. Soc. Am. B 16, 38-45 (1999)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. E. Kapon, J. Katz, and A. Yariv, “Supermode analysis of phase-locked arrays of semiconductor lasers,” Opt. Lett. 10, 125–127 (1984).
  2. D. Botez and D. E. Ackley, “Phase-locked arrays of semiconductor diode lasers,” IEEE Circuits Devices Mag. 2, 8–17 (1986).
  3. J. M. Verdiell, R. Frey, and J. P. Huignard, “Analysis of injection-locked gain-guided diode laser arrays,” IEEE J. Quantum Electron. 27, 396–401 (1991).
  4. J. P. Hohimer, A. Owyoung, and G. R. Hadley, “Single-channel injection locking of a diode-laser array with a cw dye laser,” Appl. Phys. Lett. 47, 1244–1246 (1985).
  5. S. MacCormack, J. Feinberg, and M. H. Garrett, “Injection locking a laser-diode array with a phase-conjugate beam,” Opt. Lett. 19, 120–122 (1994).
  6. L. Goldberg, H. F. Taylor, J. F. Weller, and D. R. Scifres, “Injection locking of coupled-stripe diode laser arrays,” Appl. Phys. Lett. 46, 236–240 (1985).
  7. J. L. Jewel, A. Scherer, S. L. McCall, V. H. Lee, S. Walker, J. P. Harbison, and T. Fishman, “Low-threshold electrically pumped vertical cavity surface-emitting microlasers,” Electron. Lett. 25, 1123–1124 (1989).
  8. H. Soda, Y. Motegi, and K. Iga, “Surface-emitting GaInAsP/InP injection laser with short cavity length,” Electron. Lett. 18, 461–463 (1982).
  9. D. G. Deppe, J. P. Van der Ziel, N. Chand, G. L. Zydzik, and S. N. G. Chu, “Phase-coupled two-dimensional AlxGa1−xAs-GaAs vertical-cavity surface-emitting laser array,” Appl. Phys. Lett. 56, 2089–1091 (1990).
  10. H.-J. Yoo, A. Scherer, J. P. Harbison, L. T. Florez, E. G. Paek, B. P. Van der Gaag, J. R. Hayes, A. V. Von Lehmen, E. Kapon, and Y. S. Kwon, “Fabrication of two-dimensional phased array of vertical-cavity surface-emitting lasers,” Appl. Phys. Lett. 56, 1198–1200 (1990).
  11. P. L. Gourley, M. E. Waren, G. R. Hadley, G. A. Wawter, T. M. Brennan, and B. E. Hammons, “Coherent beams from high efficiency two-dimensional surface-emitting semiconductor laser arrays,” Appl. Phys. Lett. 58, 890–892 (1991).
  12. M. Orenstein, E. Kapon, J. P. Harbison, L. T. Florez, and N. G. Stoffel, “Large two dimensional arrays of phase-locked vertical cavity surface emitting lasers,” Appl. Phys. Lett. 60, 1535–1537 (1992).
  13. R. A. Morgan and K. Kojima, “Optical characteristics of two-dimensionally coherently coupled vertical-cavity surface-emitting laser arrays,” Opt. Lett. 18, 352–354 (1993).
  14. H.-J. Yoo, J. R. Hayes, E. G. Paek, A. Scherer, and Y. S. Kwon, “Array mode analysis of two-dimensional phased array of vertical cavity surface emitting lasers,” IEEE J. Quantum Electron. 26, 1039–1051 (1990).
  15. A. Hardy and E. Kapon, “Coupled mode formulation for parallel laser resonators with application to vertical cavity semiconductor laser array,” IEEE J. Quantum Electron. 32, 966–971 (1996).
  16. T. Fishman, A. Hardy, and E. Kapon, “Formulations for calculating the eigenmodes of vertical cavity laser arrays,” IEEE J. Quantum Electron. 33, 1756–1762 (1997).
  17. H. Li, T. L. Lucas, J. G. McInerney, M. W. Wright, and R. A. Morgan, “Injection locking dynamics of vertical cavity semiconductor lasers under conventional and phase conjugate injection,” IEEE J. Quantum Electron. 32, 227–235 (1996).
  18. J. Y. Law, G. H. M. van Tartwijk, and G. P. Agrawal, “Effects of transverse-mode competition on injection dynamics of vertical-cavity surface-emitting lasers,” Quantum Semiclassic. Opt. 9, 737–747 (1997).
  19. R. Lang, “Injection locking of a semiconductor laser,” IEEE J. Quantum Electron. 18, 976–983 (1982).
  20. A. E. Siegman, Lasers (University Science Books, Mill Valley, Calif., 1986).
  21. R. J. Ram, D. I. Babic, R. A. York, and J. E. Bowers, “Spontaneous emission in microcavities with distributed mirrors,” IEEE J. Quantum Electron. 31, 399–410 (1995), and Refs. 10 and 11 therein.
  22. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  23. F. B. Hildebrand, Methods of Applied Mathematics, 2nd ed. (Prentice-Hall, Englewood Cliffs, N.J., 1965).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited