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Computer Optics, 2015, Volume 39, Issue 2, Pages 163–171 (Mi co71)  

OPTO-IT

Calculation of the resonant radius of a dielectric cylinder under illumination by a plane TE-wave

V. V. Kotlyarab, D. A. Kozlovab, A. A. Kovalevab

a Samara State Aerospace University
b Image Processing Systems Institute, Russian Academy of Sciences

Abstract: When a dielectric circular cylinder of specific radius is illuminated by a plane wave, a whispering gallery mode (WGM) is generated in the cylinder. This resonant radius of the cylinder can be derived numerically on the assumption of the maximal value of the coefficient in a Bessel series expansion of the E-field amplitude of the TE-wave. Equations composed of cylinder functions are obtained, allowing the cylinder's resonant radius to be calculated approximately. For instance, based on the equations, one can accurately determine eight initial significant digits of the cylinder resonant radius for a WGM with mode number $N = 26$ to be generated. In a cylinder with refractive index $n = 1.59$ and resonant radius $R = 3.469239\lambda$ ($\lambda$ is wavelength), a WGM with mode number $N = 30$ is excited. Such a WGM cylinder can generate an external focal spot of size $0.15\lambda$, with its maximal intensity being $1500$ times higher than that of incident light.

Keywords: whispering gallery mode (WGM) in a dielectric cylinder, resonant radius of the dielectric microcylinder.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation -3970.2014.9
-4816.2014.2
Russian Foundation for Basic Research 13-07-97008-__
14-29-07133--
14-07-31218--
15-07-01174_
This work was supported by the Ministry of Education and Science of the Russian Federation, the Russian President's grant for support of leading scientific schools (NSH-3970.2014.9) and young scientist candidate of science MK-4816.2014.2 and by RFBR grants 13-07-97008, 14-29-07133 , 14-07-31218 and 15-07-01174.


DOI: https://doi.org/10.18287/0134-2452-2015-39-2-163-171

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Full text: http://www.computeroptics.smr.ru/.../390204.html
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Received: 11.03.2015
Revised: 25.03.2015

Citation: V. V. Kotlyar, D. A. Kozlov, A. A. Kovalev, “Calculation of the resonant radius of a dielectric cylinder under illumination by a plane TE-wave”, Computer Optics, 39:2 (2015), 163–171

Citation in format AMSBIB
\Bibitem{KotKozKov15}
\by V.~V.~Kotlyar, D.~A.~Kozlov, A.~A.~Kovalev
\paper Calculation of the resonant radius of a dielectric cylinder under illumination by a plane TE-wave
\jour Computer Optics
\yr 2015
\vol 39
\issue 2
\pages 163--171
\mathnet{http://mi.mathnet.ru/co71}
\crossref{https://doi.org/10.18287/0134-2452-2015-39-2-163-171}


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