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Comment on 'Exact solution of resonant modes in a rectangular resonator'

Gutiérrez-Vega, Julio C. and Bandres, Miguel A. (2006) Comment on 'Exact solution of resonant modes in a rectangular resonator'. Optics Letters, 31 (16). pp. 2468-2469. ISSN 0146-9592. https://resolver.caltech.edu/CaltechAUTHORS:GUTol06

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Abstract

We comment on the recent Letter by J. Wu and A. Liu [Opt. Lett. 31, 1720 (2006)] in which an exact scalar solution to the resonant modes and the resonant frequencies in a two-dimensional rectangular microcavity were presented. The analysis is incorrect because (a) the field solutions were imposed to satisfy simultaneously both Dirichlet and Neumann boundary conditions at the four sides of the rectangle, leading to an overdetermined problem, and (b) the modes in the cavity were expanded using an incorrect series ansatz, leading to an expression for the mode fields that does not satisfy the Helmholtz equation.


Item Type:Article
ORCID:
AuthorORCID
Bandres, Miguel A.0000-0002-7145-8567
Additional Information:© 2006 Optical Society of America Received May 11, 2006; revised May 24, 2006; accepted May 25, 2006; posted June 14, 2006 (Doc. ID 70863); published July 25, 2006 This research was supported by the Tecnológico de Monterrey (grant CAT-007) and by the Consejo Nacional de Ciencia y Tecnología (grant 42808). M. Bandres acknowledges support from Secretaría de Educación Pública.
Funders:
Funding AgencyGrant Number
Tecnológico de MonterreyCAT-007
Consejo Nacional de Ciencia y Tecnología (CONACYT)42808
Secretaría de Educación Pública (SEP)UNSPECIFIED
Subject Keywords:Mathematical methods in physics; Microstructure devices; Slab waveguides; Resonance
Issue or Number:16
Record Number:CaltechAUTHORS:GUTol06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:GUTol06
Alternative URL:http://www.opticsinfobase.org/abstract.cfm?URI=ol-31-16-2468
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4995
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:18 Sep 2006
Last Modified:06 Nov 2019 22:34

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