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 $\exp(-\sigma^2)$, and that the near-field intensity decreases faster as the rms phase $\sigma^2$ increases. All of the above behaviors are strongly influenced by the hexagonal array rotational symmetry.

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  1. 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
  2. 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).
  3. 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).

Other (3)

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

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).

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).

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