Analytical approach for the design of cascaded raman fiber lasers

A. Martínez Rios, I. Torres Gómez, R. Selvas Aguilar, G. Anzueto Sanchez, and A.N. Starodumov*

Centro de Investigaciones en Óptica, A.C., León, Guanajuato, México, 37150, e-mail: amr6@cio.mx

* Coherent laser division.

Abstract

An analytical approach for the design of cascaded Raman fiber lasers is presented. The model computes the values of the pump and Stokes powers at the fiber laser output based on the boundary conditions, the invariants resultanting from the analysis of the coupled differential equations, and assuming that the sum of the forward and backward Stokes waves resonated inside the cavity is constant. The model is applied to Raman fiber lasers based on five nested cavities and compared with published results based on numerical models obtaining a good correlation.

Keywords: Optical fibers; fiber lasers; cascaded raman fiber lasers; modeling.

Resumen

Presentamos una aproximación analítica para el diseño de láseres Raman de fibra óptica con configuración en cascada. El modelo calcula los valores de las potencias de las ondas de bombeo y ondas Stokes en el extremo de salida del láser de fibra usando las condiciones en la frontera, las invariantes resultantes del análisis del sistema de ecuaciones acopladas, y suponiendo que la suma de las ondas Stokes resonadas dentro de la cavidad es constante. El modelo se utiliza para analizar el caso de un láser Raman de fibra óptica con cinco cavidades anidadas, y los resultados, se comparan con los obtenidos mediante métodos numéricos en la literatura logrando una buena correlación.

Descriptores: Fibras ópticas; láseres de fibra; láseres Raman en cascada: modelado.

PACS: 42.55.Wd; 42.55.Ye

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