A Simple Model of Gain Saturation in Homogeneously CW Lasers with Distributed Losses

Model of Nonlinear Operation of a Waveguide Laser with Gaussian Output Mirror

“…A simple approximate expression describing dependence of the output power on the global small-signal gain coefficient, the distributed losses, the mirror reflectance, and the transverse mode distribution has been derived. However, the model presented in [24] is confined to the "dual case P" and it gives the results, which are in good agreement with the exact solutions [28][29][30][31][32][33][34][35][36][37] in the low-power limit.…”

Model of the nonlinear operation of a laser with a Gaussian mirror

“…In equations (22) and (23) we introduce the normalized function f … rT; z † which describes the spatial distribution of the small signal gain and, in general, it depends on the pumping conditions. In this paper we use these equations as a starting point for an approximate analysis based on the energy theorem developed and veri®ed earlier [29,31] for two-mirror as well as distributed feedback lasers.…”

Modelling of Blue Wavelength Praseodymium Waveguide Lasers

“…[42] for a detailed discussion). It i8 worth noting that this approximation has been verified for two-mirror lasers [42][43][44][45] as well as dis t ributed feedback lasers [46][47][48][49][50]. Thus, in the case of the F-P resonator, according to [42], we have where the propagation constant γq is equal to Ύq = (1/2L) ln[1/(R1R2)] and R1 , 2 denotes amplitude reflectivities at the end faces.…”

“…(5) it is assumed that the effective number of excited ions interacting with the laser mode can be averaged into a product of the axial mean fraction (is), the modal confinement factor Γ, and the average longitudinal distribution intensities, IR and IS, of the counter-propagating waves of the laser mode where the modal confinement factor Γ is defined as Γ = fó |Εm(x)| 2 dx and the average longitudinal distribution intensities, In. and Is, are given in the threshold field approximation [42] by and respectively. It is worth noting that in general IR and IS are different for the asymmetric structure.…”

“…In our approach we assume that they can be approximated by the threshold field distribution (see Ref. [42] for a detailed discussion). It i8 worth noting that this approximation has been verified for two-mirror lasers [42][43][44][45] as well as dis t ributed feedback lasers [46][47][48][49][50].…”