Extraction characteristics of a cw double-hexagonal Talbot  cavity with stochastic propagation phase

doi:10.1364/OE.9.000373

Optics Express

Editor: J. H. Eberly
Vol. 9, Iss. 8 — Oct. 8, 2001
pp: 373–385

Extraction characteristics of a cw double-hexagonal Talbot cavity with stochastic propagation phase

Phillip Peterson, Athanasios Gavrielides, and M. Sharma »View Author Affiliations

Optics Express, Vol. 9, Issue 8, pp. 373-385 (2001)
http://dx.doi.org/10.1364/OE.9.000373

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Abstract

We solve the coupled cw electric field differential equations for an hexagonal array of fiber gain elements all sharing a common monolithic Talbot cavity mirror. A threshold analysis shows that the lowest gains are nearly equal, within 10% of one another, and that one of these corresponds to an in-phase supermode. Above threshold we study the extraction characteristics as a function of the Talbot cavity length, and we also determine the optimum outcoupling reflectivity. These simulations show that the lasing mode is an in-phase solution. Lastly, we study extraction when random linear propagation phases are present by using Monte Carlo techniques. This shows that the coherence function decreases as exp(-σ²), and that the near-field intensity decreases faster as the rms phase σ² increases. All of the above behaviors are strongly influenced by the hexagonal array rotational symmetry.

[Optical Society of America ]

OCIS Codes
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(140.3410) Lasers and laser optics : Laser resonators

ToC Category:
Research Papers

History
Original Manuscript: August 8, 2001
Published: October 8, 2001

Citation
Phillip Peterson, Athanasios Gavrielides, and M. Sharma, "Extraction characteristics of a cw double-hexagonal Talbot cavity with stochastic propagation phase," Opt. Express 9, 373-385 (2001)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-9-8-373

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References

P. Peterson, A. Gavrielides, M. P. Sharma, "Extraction characteristics of a one dimensional Talbot cavity with stochastic propagation phase," Opt. Express 8, 670-682 (2001), http://www.opticsexpress.org/oearchive/source/32913.htm [CrossRef] [PubMed]
David Mehuys, William Streifer, Robert G. Waarts and Davie F. Welsh, "Modal analysis of linear Talbot-cavity semiconductor lasers," Opt. Lett. 16 823-825 (1991). [CrossRef] [PubMed]
V. P. Kandidov, A. V. Kondrat'ev, M. B. Surovitskii, "Collective modes of two-dimensional laser arrays in a Talbot cavity," Quant. Elect. 28, 692-696 (1998). [CrossRef]

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