The radiation loss in the whispering gallery resonators causes the eigenvalues of the Maxwell equations with the
corresponding boundary conditions complex. The corresponding operators are nonhermitian and for these operators the
standard perturbation techniques have some difficulties. In this paper by employing the Floquet theorem a new technique
for the φ periodic perturbations is developed. The method is applied to obtain the change of resonance frequencies and
losses of φ -perturbed microresonators with cylindrical symmetry. The results are compatible with that are obtained by
the Volume Current Method.
This paper a simple semi-analytical model for calculation of the time evolution and spatial variation of the electric field
in microring resonators in the presence of The Kerr effect and two-photon absorption (TPA) is presented. The theoretical
analysis is based on the delayed feedback model, which is well known in microring theory. The model is applied to the
Chalcogenide glass and AlGaAs microrings to study the Kerr and TPA effects on the spatial and temporal variation of
electric field respectively across the microring. The effects of microring parameters and input signal shapes on the
transient behavior are taken into consideration. It is shown that, the results are in good agreement with the full numerical
method.
This article was originally published online on April 16, 2008. The following errors were discovered by the authors after publication: incorrect author order, equations 10 and 11 were written twice.
In this paper the gain dynamics of an erbium-doped fiber laser (EDFL) with an inhomogeneous active medium in the
presence of ion pairs is modeled. A two-level model for single ions and a three-level model for ion pairs are employed to
write the propagation and rate equations of inhomogeneous laser medium. The governing equations are an uncountable
system of partial differential equations (PDEs). By employing the moment method, the system of PDEs is converted to a
finite system of ordinary differential equations (ODEs). The Solution of the system of ODEs is used to analyze the
output power of a high concentration EDFL. As it expected, theoretical results show that the threshold pumping power
increases and the output power decreases by increasing the ion pair concentration.
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