OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 36 — Dec. 20, 2001
  • pp: 6663–6669

Theory of 1-N-Way Phase-Locked Resonators with Perturbations in the Array Elements

Eric K. Gorton and R. Michael Jenkins  »View Author Affiliations


Applied Optics, Vol. 40, Issue 36, pp. 6663-6669 (2001)
http://dx.doi.org/10.1364/AO.40.006663


View Full Text Article

Acrobat PDF (191 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The recently proposed 1-<i>N</i>-way resonator based on beam splitting and beam combining effects in rectangular cross-sectional multimode waveguides offers a valuable way in which <i>N</i> low-power laser elements can be combined in a coherent fashion. We develop a theory of such resonators in the presence of perturbations in the <i>N</i>-element array. We demonstrate that despite the presence of perturbations there is only one possible mode of the resonator. The theory is used to provide an understanding of the effects of a number of possible perturbations that could arise as a result of manufacturing processes and operational effects. The results give scaling laws for the design tolerances on array element mirror tilt, array element optical path length control, and the effects of array element malfunction and their need for gain balance.

© 2001 Optical Society of America

OCIS Codes
(140.4780) Lasers and laser optics : Optical resonators
(230.0230) Optical devices : Optical devices
(230.7370) Optical devices : Waveguides

Citation
Eric K. Gorton and R. Michael Jenkins, "Theory of 1-N-Way Phase-Locked Resonators with Perturbations in the Array Elements," Appl. Opt. 40, 6663-6669 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-36-6663


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. F. Talbot, “Facts relating to optical science no. IV,” Philos. Mag. 9, 401–407 (1836).
  2. D. Mehuys, W. Streifer, R. G. Waarts, and D. F. Welch, “Modal analysis of linear Talbot-cavity semiconductor lasers,” Opt. Lett. 16, 823–825 (1991).
  3. R. M. Jenkins, J. Banerji, A. R. Davies, and J. M. Heaton, “1-N-way phased array resonator,” in Conference on Lasers and Electro-Optics, Vol. 8 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1994), pp. 228–229.
  4. R. M. Jenkins and J. M. Heaton, “Optical device,” international patent application PCT/GB91/02129 (1992); UK patent application 9,027,657.7 (priority date 20 December 1990).
  5. R. M. Jenkins, R. W. J. Devereux, and J. M. Heaton, “Waveguide beam splitters and recombiners based on multimode propagation phenomena,” Opt. Lett. 17, 991–993 (1992).
  6. J. M. Heaton, R. M. Jenkins, D. R. Wight, J. T. Parker, J. C. H. Birbeck, and K. P. Hilton, “Novel 1-to-N way integrated optical beam splitters using symmetric mode mixing in GaAs/AlGaAs multimode waveguides,” Appl. Phys. Lett. 61, 1754–1756 (1992).
  7. R. M. Jenkins, R. W. J. Devereux, and J. M. Heaton, “A novel waveguide Mach–Zehnder interferometer based on multimode interference phenomena,” Opt. Commun. 110, 410–424 (1994).
  8. J. Banerji, A. R. Davies, and R. M. Jenkins, “Comparison of Talbot and 1-to-N way phase locked resonators,” Appl. Opt. 36, 1604–1609 (1997).
  9. E. K. Gorton and R. M. Jenkins, “Theory of 1-N-way phase-locked resonators,” Appl. Opt. 40, 916–920 (2001).
  10. K. D. Laakmann and W. H. Steier, “Waveguides: characteristic modes of hollow rectangular dielectric waveguides,” Appl. Opt. 15, 1334–1340 (1976).
  11. S. Wolfram, Mathematica: a System for Doing Mathematics by Computer, 2nd ed. (Addison–Wesley, Reading, Mass., 1992).

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