Simple and efficient method of lines based algorithm for modeling of erbium doped Q-switched fluoride fiber lasers

Abstract

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Numerical Analysis of Q-Switched Erbium Ion Doped Fluoride Glass Fiber Laser Operation Including Spontaneous Emission

“…for all sampling points except those which are adjacent to the fiber facets. The finite difference approximations near facets are obtained using the extended Taylor series following the formalism presented in detail in [18]. The finite difference approximation (7) is second order accurate.…”

“…The finite difference approximation (7) is second order accurate. In, principle, other finite difference approximation orders could be used in (6); however, the results presented in [18] show that the second order approximation gives a significant advantage over the first order one, whilst remaining simple to implement.…”

“…Subsequently the steady state solution is refined using the time domain model. This step helps in presented in [18] show that the second order approximation gives a significant advantage over the first order one, whilst remaining simple to implement. The numerical integration of Equations (5) and (6) has to be carried out using an algorithm designated for handling stiff differential equations.…”

“…When using MOC, the spatial and temporal step ratio has to remain fixed, to preserve the physical meaning of the results obtained. More recently, an alternative approach has been introduced which relies on the application of the method of lines (FD-MOL) [18], and the concept of the Extended Taylor Series (ETS) [19,20], to derive second order finite difference (FD) approximations for spatial derivatives. In this contribution, FD-MOL is used to model the Q-switched operation of the fluoride glass fiber laser doped with erbium ions.…”

Experimental Investigation of Mid-Infrared Laser Action From Dy3+ Doped Fluorozirconate Fiber

“…Most research within this area has been focused on the development of mid-infrared fiber lasers doped with erbium and holmium ions. Watt-level output power, broad tunability, Q-switched and mode-locked operation have been achieved [2][3][4][5][6][7][8][9]. However, much less attention has been paid to dysprosium ion-doped fluoride fiber lasers.…”