Microcavity lasers on polymer materials: Boundary integral equation modeling and experiments

We consider the modeling and experiments with polymer dye-doped lasers shaped as thin flat cavities, allowing one to consider them as two-dimensional (2-D) active cavities. We focus our modeling on the H-polarized electromagnetic field in a kite-shaped laser. Assuming that the lasing-mode frequency is real-valued, we look for it together with the corresponding threshold value of material gain. Such electromagnetic-field problem is reduced to the Muller set of the boundary integral equations (MBIE), discretization of which yields determinantal equation. Numerical results reveal various types of modes existing in the kite including the perturbed whispering gallery (WG) modes that have the lowest thresholds. Their far-field emission patterns show good agreement with the measurements. © 2015 IEEE

Photonic molecules and spectral engineering

This chapter reviews the fundamental optical properties and applications of pho-tonic molecules (PMs) - photonic structures formed by electromagnetic coupling of two or more optical microcavities (photonic atoms). Controllable interaction between light and matter in photonic atoms can be further modified and en-hanced by the manipulation of their mutual coupling. Mechanical and optical tunability of PMs not only adds new functionalities to microcavity-based optical components but also paves the way for their use as testbeds for the exploration of novel physical regimes in atomic physics and quantum optics. Theoretical studies carried on for over a decade yielded novel PM designs that make possible lowering thresholds of semiconductor microlasers, producing directional light emission, achieving optically-induced transparency, and enhancing sensitivity of microcavity-based bio-, stress- and rotation-sensors. Recent advances in material science and nano-fabrication techniques make possible the realization of optimally-tuned PMs for cavity quantum electrodynamic experiments, classical and quantum information processing, and sensing.Comment: A review book chapter: 29 pages, 19 figure

Nystrom-type method for simulation of 2-D dielectric resonator antennas

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Near and far fields of a kite-shaped dielectric resonator antenna

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Mathematical and numerical modelling of dielectric resonators, lens antennas and lasers using boundary integral equations and eigenvalue problems

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Poynting theorem for the natural modes of open dielectric resonators with active regions

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Near and far fields of perturbed whispering-gallery modes in a 2-D spiral-shaped active microcavity

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Effective mode volume of a natural mode of an open dielectric resonator with an active region

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Optical fields of the lowest modes in a uniformly active thin sub-wavelength spiral microcavity

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Optical theorem helps understand thresholds of lasing in microcavities with active regions

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