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The lasing modes in the arbitrarily shaped active microcavity are considered as solutions to the 2-D linear eigenproblem for the Maxwell equations with exact boundary and radiation conditions. This problem can be reduced to the set of two coupled boundary integral equations with smooth or integrable kernels. Discrete form of these equations is built using the Nystrom-type algorithm and corresponding...
The lasing modes in the arbitrarily shaped microcavity are considered as solutions to the 2-D linear eigenproblem for the Maxwell equations with exact boundary and radiation conditions. The gain is introduced into the cavity material within the active region via the ldquoactiverdquo imaginary part of the refractive index, and the modal frequencies and threshold values of gain are sought as the eigenvalues...
The optical theorem (OT) is a classical identity, which links the extinction cross-section and the forward-direction far field for a particle illuminated with a monochromatic plane wave. We discuss the application of the similar identity to the lasing modes of an open dielectric microcavity containing an active region, i.e. a laser. This yields clear insight into the lasing thresholds of individual...
We discuss the application of the optical theorem to the analysis of lasing as a linear eigenvalue problem. This yields clear insight into the lasing thresholds of individual modes and easily accounts for the matching of the active-region geometry with the modal electric-field pattern.
We consider lasing modes in the microcavity shaped as a circular active disk placed in the centre of a passive dielectric ring as solutions to 2-D linear eigenproblem for the Maxwell equations with exact boundary and radiation conditions. The gain is introduced into the cavity material within the active region via the ldquoactiverdquo imaginary part of the refractive index, and the modal frequencies...
The lasing spectra and thresholds of a microdisk laser concentrically coupled with external microrings are investigated using the recently developed formalism of the lasing eigenvalue problem (LEP). The 3-D boundary problem for the Maxwell equations is reduced to a 2-D one with the effective index method, and the in-plane 2-D problem is then analysed accurately with the aid of separation of variables...
A review of the recently proposed approach to the analysis of lasing as a linear eigenproblem for the Maxwell equations with exact boundary and radiation conditions is presented. It is based on the assumption that the cavity contains an active region characterised by the "active" imaginary part of refractive index. This enables one to quantify the thresholds of lasing, for each of the cavity...
We review basic facts from the theory of linear Maxwellian boundary-value problems for dielectric open resonators that establish the classical mathematical framework for the accurate modelling of microcavities. We discuss how a small modification of this theory delivers modal thresholds in addition to lasing frequencies
We show that linear lasing thresholds of the pi-type supermodes in a cyclic array of disks with the lowest-order, i.e. non-whispering-gallery, modes can be greatly reduced by bringing the cavities closer and increasing their number. This is achieved provided that antisymmetry of the electromagnetic field in adjacent disks is the highest possible that implies that their number must be even
Photonic molecules (PMs) composed of several identical active microdisks placed in a circle are investigated in this paper. We study the lasing eigenvalue problems for such PMs as electromagnetic field boundary value problems formulated in special manner, which enables one to extract not only natural frequencies but also thresholds of optical modes. The problem is reduced to an infinite matrix equation...
Microdisk lasers have been attracting much attention since the 1990's as extremely compact sources of light (McCall, 1992). Lasing in disks of 1-10mum diameter and 100-200 nm thickness, containing one or several quantum wells or layers of quantum dots has been achieved both with photopump and injection of current. The main features of such lasers are: (i) periodically spaced frequencies of lasing,...
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