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Open AccessJournal ArticleDOI

Purcell effect in nonlinear photonic structures: a coupled mode theory analysis.

TLDR
A coupled mode theory (CMT) model of the behavior of a polarization source in a general photonic structure is developed, and an analytical expression for the resulting generated electric field is obtained; loss, gain and/or nonlinearities can also be modeled.
Abstract
We develop a coupled mode theory (CMT) model of the behavior of a polarization source in a general photonic structure, and obtain an analytical expression for the resulting generated electric field; loss, gain and/or nonlinearities can also be modeled. Based on this treatment, we investigate the criteria needed to achieve an enhancement in various nonlinear effects, and to produce efficient sources of terahertz radiation, in particular. Our results agree well with exact finite-difference time-domain (FDTD) results. Therefore, this approach can also in certain circumstances be used as a potential substitute for the more numerically intensive FDTD method.

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Journal ArticleDOI

Low-threshold lasing action in photonic crystal slabs enabled by Fano resonances

TL;DR: The authors' simulations show that, for an exemplary four-level gain model, the excitation of dark Fano resonances featuring arbitrarily large quality factors can lead to a significant reduction of the lasing threshold of PCSELs with respect to conventional vertical-cavity surface-emitting lasers.
Proceedings Article

Optical nanoantennas

TL;DR: Optical nanoantennas have become an important part of nano-optics, nanophotonics, and micro- and nanoscale light-matter interaction as discussed by the authors.
Journal ArticleDOI

Design of an efficient terahertz source using triply resonant nonlinear photonic crystal cavities.

TL;DR: It is demonstrated through coupled-mode theory that complete depletion of the pump frequency - i.e., quantum-limited conversion - is possible and the output power at the point of optimal total conversion efficiency is adjustable by varying the mode quality (Q) factors.
Journal ArticleDOI

Broadband super-collimation in a hybrid photonic crystal structure

TL;DR: A two dimensional (2D) photonic crystal (PhC) structure that supports super-collimation over a large frequency range (over 4 times that of a traditional square lattice of holes) is proposed.
Journal ArticleDOI

Difference-frequency generation with quantum-limited efficiency in triply-resonant nonlinear cavities.

TL;DR: It is shown that optimal "quantum-limited" conversion efficiency can be achieved at any pump power when the powers at the pump and idler frequencies satisfy a critical relationship.
References
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Book

Photonic Crystals: Molding the Flow of Light

TL;DR: In this paper, the authors developed the theoretical tools of photonics using principles of linear algebra and symmetry, emphasizing analogies with traditional solid-state physics and quantum theory, and investigated the unique phenomena that take place within photonic crystals at defect sites and surfaces, from one to three dimensions.
Journal ArticleDOI

Interactions between light waves in a nonlinear dielectric

TL;DR: In this paper, the induced nonlinear electric dipole and higher moments in an atomic system, irradiated simultaneously by two or three light waves, are calculated by quantum-mechanical perturbation theory.
Journal ArticleDOI

Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis

TL;DR: A fully-vectorial, three-dimensional algorithm to compute the definite-frequency eigenstates of Maxwell's equations in arbitrary periodic dielectric structures, including systems with anisotropy or magnetic materials, using preconditioned block-iterative eigensolvers in a planewave basis is described.
Journal ArticleDOI

Materials for terahertz science and technology

TL;DR: Terahertz spectroscopy and imaging provide a powerful tool for the characterization of a broad range of materials, including semiconductors and biomolecules, as well as novel, higher-power terahertz sources.
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