3 October 1994 Gain modeling for in-fiber distributed feedback lasers using recursive Green's functions
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The need to miniaturize traditional optical devices and to incorporate them into a fiber environment has led to the study of in-fiber lasers with doped fiber cores and distributed- feedback grating cavities. This paper implements a recursive Green's function approach to model the threshold gain for distributed feedback in-fiber lasers. It is shown that the Dyson equation based model, which was originally applied to diode lasers, can also be used to model distributed feedback fiber lasers. A one-dimensional recursive Green's function process using Dyson's equation is used to obtain threshold gains and resonant frequencies for in-fiber, distributed feedback lasers. The use of Dyson's equation allows exact solutions to arbitrary accuracy for any grating shape. The recursive Green's function process allows rapid calculation of periodic or uniform structures of any size, yet does not easily yield the electric field values inside the grating structure. Also, the recursive method is easily applied to chirped gratings and phase sections between grating pairs, and can be extended to higher orders.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Jim D. Freeze, Jim D. Freeze, Richard H. Selfridge, Richard H. Selfridge, "Gain modeling for in-fiber distributed feedback lasers using recursive Green's functions", Proc. SPIE 2289, Doped Fiber Devices and Systems, (3 October 1994); doi: 10.1117/12.188699; https://doi.org/10.1117/12.188699

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