Poon, Joyce and Istrate, Emmanuel and Allard, Mathieu and Sargent, Edward H. (2003) Multiple-scales analysis of photonic crystal waveguides. IEEE Journal of Quantum Electronics, 39 (6). pp. 778-786. ISSN 0018-9197. doi:10.1109/JQE.2003.810769. https://resolver.caltech.edu/CaltechAUTHORS:20170408-164619150
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Abstract
The multiple-scales method is used to derive a scalar differential equation that describes the envelopes of photonic crystal waveguide modes. For a photonic crystal heterostructure waveguide and an air core photonic crystal waveguide, the mode frequencies calculated from the envelope approximation and full numerical simulations agree to 9% in the worst case when compared to the frequency difference of the band edges. The single-mode and cutoff width conditions for a photonic crystal waveguide are predicted and verified.
| Item Type: | Article | ||||||
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| Additional Information: | © 2003 IEEE. Manuscript received August 22, 2003; revised January 22, 2003. The authors thank Prof. D. Pelinovsky of McMaster University for helpful discussions. They also acknowledge Nortel Networks and the Natural Sciences and Engineering Research Council of Canada for generous support of this work. | ||||||
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| Subject Keywords: | Approximation methods, electromagnetic scattering by periodic structures, optical propagation in nonhomogenous media, optical waveguide theory, periodic structures | ||||||
| Issue or Number: | 6 | ||||||
| DOI: | 10.1109/JQE.2003.810769 | ||||||
| Record Number: | CaltechAUTHORS:20170408-164619150 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170408-164619150 | ||||||
| Official Citation: | J. Poon, E. Istrate, M. Allard and E. H. Sargent, "Multiple-scales analysis of photonic crystal waveguides," in IEEE Journal of Quantum Electronics, vol. 39, no. 6, pp. 778-786, June 2003. doi: 10.1109/JQE.2003.810769 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 76247 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | 1Science Import | ||||||
| Deposited On: | 09 Mar 2018 18:18 | ||||||
| Last Modified: | 15 Nov 2021 16:58 |
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