Electromagneticfield amplification in finite onedimensional photonic crystals
Abstract
The electromagneticfield distribution in a finite onedimensional photonic crystal is studied using the numerical solution of Maxwell’s equations by the transfermatrix method. The dependence of the transmission coefficient T on the period d (or the wavelength λ) has the characteristic form with M–1 (M is the number of periods in the structure) maxima with T = 1 in the allowed band of an infinite crystal and zero values in the forbidden band. The fieldmodulus distribution E(x) in the structure for parameters that correspond to the transmission maxima closest to the boundaries of forbidden bands has maxima at the center of the structure; the value at the maximum considerably exceeds the incidentfield strength. For the number of periods M ~ 50, more than an order of magnitude increase in the field amplification is observed. The numerical results are interpreted with an analytic theory constructed by representing the solution in the form of a linear combination of counterpropagating Floquet modes in a periodic structure.
 Authors:
 Russian Academy of Sciences, Lebedev Physics Institute (Russian Federation)
 Publication Date:
 OSTI Identifier:
 22617193
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 123; Journal Issue: 3; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLIFICATION; CRYSTALS; DISTRIBUTION; ELECTROMAGNETIC FIELDS; EQUATIONS; NUMERICAL SOLUTION; ONEDIMENSIONAL CALCULATIONS; PERIODICITY; TRANSFER MATRIX METHOD; WAVELENGTHS
Citation Formats
Gorelik, V. S., and Kapaev, V. V., Email: kapaev@sci.lebedev.ru. Electromagneticfield amplification in finite onedimensional photonic crystals. United States: N. p., 2016.
Web. doi:10.1134/S1063776116070062.
Gorelik, V. S., & Kapaev, V. V., Email: kapaev@sci.lebedev.ru. Electromagneticfield amplification in finite onedimensional photonic crystals. United States. doi:10.1134/S1063776116070062.
Gorelik, V. S., and Kapaev, V. V., Email: kapaev@sci.lebedev.ru. 2016.
"Electromagneticfield amplification in finite onedimensional photonic crystals". United States.
doi:10.1134/S1063776116070062.
@article{osti_22617193,
title = {Electromagneticfield amplification in finite onedimensional photonic crystals},
author = {Gorelik, V. S. and Kapaev, V. V., Email: kapaev@sci.lebedev.ru},
abstractNote = {The electromagneticfield distribution in a finite onedimensional photonic crystal is studied using the numerical solution of Maxwell’s equations by the transfermatrix method. The dependence of the transmission coefficient T on the period d (or the wavelength λ) has the characteristic form with M–1 (M is the number of periods in the structure) maxima with T = 1 in the allowed band of an infinite crystal and zero values in the forbidden band. The fieldmodulus distribution E(x) in the structure for parameters that correspond to the transmission maxima closest to the boundaries of forbidden bands has maxima at the center of the structure; the value at the maximum considerably exceeds the incidentfield strength. For the number of periods M ~ 50, more than an order of magnitude increase in the field amplification is observed. The numerical results are interpreted with an analytic theory constructed by representing the solution in the form of a linear combination of counterpropagating Floquet modes in a periodic structure.},
doi = {10.1134/S1063776116070062},
journal = {Journal of Experimental and Theoretical Physics},
number = 3,
volume = 123,
place = {United States},
year = 2016,
month = 9
}

The threedimensional local density of states (3D LDOS), which determines the radiation dynamics of a pointsource, in particular the spontaneous emission rate, is presented here for finite twodimensional photonic crystals composed of cylinders. The 3D LDOS is obtained from the 3D Green's tensor, which is calculated to high accuracy using a combination of a Fourier integral and the Rayleighmultipole methods. A comprehensive investigation is made into the 3D LDOS of two basic types of PCs: a hexagonal cluster of airvoids in a dielectric background enclosed by an airjacket in a fiberlike geometry, and a square cluster of dielectric cylinders inmore »

Entangled photon pair generation by spontaneous parametric downconversion in finitelength onedimensional photonic crystals
A description of spontaneous parametric downconversion in finitelength onedimensional nonlinear photonic crystals is developed using semiclassical and quantum approaches. It is shown that if a suitable averaging is added to the semiclassical model, its results are in very good agreement with the quantum approach. We propose two structures made with GaN/AlN that generate both degenerate and nondegenerate entangled photon pairs. Both structures are designed so as to achieve a high efficiency of the nonlinear process. 
Analyzing the properties of acceptor mode in twodimensional plasma photonic crystals based on a modified finitedifference frequencydomain method
In this paper, the properties of acceptor mode in twodimensional plasma photonic crystals (2D PPCs) composed of the homogeneous and isotropic dielectric cylinders inserted into nonmagnetized plasma background with square lattices under transversemagnetic wave are theoretically investigated by a modified finitedifference frequencydomain (FDFD) method with supercell technique, whose symmetry of every supercell is broken by removing a central rod. A new FDFD method is developed to calculate the band structures of such PPCs. The novel FDFD method adopts a general function to describe the distribution of dielectric in the present PPCs, which can easily transform the complicated nonlinear eigenvalue equationmore » 
Theoretical investigation of offplane propagation of electromagnetic waves in twodimensional photonic crystals
We study the transmission of electromagnetic waves propagating in twodimensional photonic crystals having triangular structure. The transmission has been calculated using the transfer matrix method. We find that for dielectric constant ratios higher than 12.25, there is a full photonic band gap for both polarizations and for outofplane incident angle as high as 85{degree}. {copyright} {ital 1998} {ital The American Physical Society}