Whispering Gallery Mode Laser in an Elliptical Microring

作者

  • Reyhan Baktur Department of Electrical and Computer Engineering Utah State University, Logan, UT 84322, USA
  • L. W. Pearson Holcombe Department of Electrical and Computer Engineering Clemson University, Clemson, SC 29634-0915
  • J. M. Ballato Center for Optical Materials Science and Engineering Technologies (COMSET) School of Material Science and Engineering Clemson University, Clemson, SC 29634-0971

关键词:

Whispering Gallery Mode Laser in an Elliptical Microring

摘要

Studies on whispering gallery mode (WGM) laser in microrings have been limited to circular geometry. Elliptical microring lasers, despite their potential engineering use, have not been analyzed to guide experiments. This paper introduces a computationally efficient method for determining the WGM laser resonance and the laser field distribution in an elliptical microring. An analytical method is applied to avoid computing high order Mathieu functions. Both WGM resonant frequencies and electromagnetic (EM) field distributions are computed and presented in this paper. Computed results clearly show that the WGM laser field is concentrated on the outer surface of the microring. Results also show that the eccentricity of the ellipse affects the distribution of resonant frequencies and the laser field.

##plugins.generic.usageStats.downloads##

##plugins.generic.usageStats.noStats##

参考

N. Tes

es”, Nature, vol. 38

C. Kallinger, et . al., “A Flexible Conjugated

Polymer Laser”, Adv. Mater., vol. 10, no.12,

pp. 920

S. V. Frolov, A. Fujii, D. Chinn, Z. V.

Vardeny, K. Yoshino, and R. V. Gregory,

“Cylindrical Micro

Devices from Conducting Polymers”, Appl.

Phys. Lett., vol. 72, no. 2, pp. 2811-2813,

S. V. Frolov, M. Shkunov, A. Fujii, K.

Yoshino, and Z. V. Vardeney, “Lasing and

Stimul

Polymers”, IEEE J. Quantum Elect ., vol. 36,

no. 1, pp. 2-11, 2000.

ACES JOURNAL, VOL. 25, NO. 2, FEBRUARY 2010

R. C. Polson, G. Levina, and Z. V. Vardeny,

“Mode Characterization of Microring Polyme

Laser Spectrum of Microdisk

hical Magazine, vol. xx, pp.

a Dielectric Rod”, Radio

ng

las,

l. 33, no.11, pp. 3235-3243,

tric Waveguides with Elliptical Cross

Oxford, England:

lysis for Resonance

of

s, Van Nostrand Reinhold

Electromagnetic Whispering

Reyhan Baktur graduated

Computer Eng

L. Wilson Pearson is a

a

John Ballato is a Professor

r

Ga

Laser”, Synthetic Metals , vol. 111, pp. 363-

, 2001.

N. C. Frateschi and A. F. J. Levi, “Resonant

Modes and

Lasers”, Appl. Phys. Lett ., vol. 66, no. 2, pp.

-2934, 1995.

J. W. Strutt, “The Problem of the Whispering

Gallery”, Philosop

-1004, 1910.

J. R. Wait, “Electromagnetic Whispering

Gallery Modes in

Science, vol. 2, no. 9, pp. 1005-1017, 1967.

R. Baktur, L. W. Pearson and J. M. Ballato,

“Theoretical Determination of Lasi

Resonances in a Microring”, J. of Appl. Phys .,

vol. 101, no. 4, pp. 043102-043102, 2007.

M. Abramowitz and I. A. Stegun, Handbook

of Mathematical Functions with Formu

Graphs, and Mathematical Tables, John Wiley

& Sons, 1972.

C. Yeh, “Elliptical Dielectric Waveguides”, J.

Appl. Phys ., vo

L. A. Lyubimov, G. I. Veselov, and N. A. Bei,

“Dielec

Section”, Radio Eng. Electron . (USSR), vol.

, pp. 1668-1677, 1961.

N. W. McLachlan, Theory and Application of

Mathieu Functions .

University Press, 1951.

M. Matsubara, Y. Tomabechi, and K.

Matsumura, “An Ana

Characteristics of Whispering Gallery Modes

on an Elliptic Dielectric Disk”, Proceedings of

APMC, Taipei Taiwan, pp. 473-475, 2001.

Y. Kogami, Y. Tomabechi, and K.

Matsumura, “Resonance Characteristics

Whispering-Gallery Modes in an Elliptic

Dielectric Disk Resonator”, IEEE Tran.

Microw. Theory Tech., vol. 44, no. 3, pp. 473-

, 1996.

C. E. Pearson, Handbook of Applied

Mathematic

Company, 1974.

R. Baktur, L. W. Pearson, and J. M. Ballato,

"Computation of

llery Mode Field in a Dielectric Microring

Fabricated on a Metal Wire",

Electromagnetics, vol. 29, no.1, pp. 1-12 ,

##submission.downloads##

已出版

2022-06-17

栏目

General Submission