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 | ||||||||
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| 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. | ||||||||
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| 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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