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Refraction and geometry in Maxwell's equations
Abstract
Computational studies of Maxwell's equations in complex geometries encountered in photonic band structure calculations run into difficulties when several length scales occur, such as the wavelength of light in free space and the skin depth in metal. These problems are remedied by using an adaptive co-ordinate system which expands or contracts length scales as necessary. Here we show that moving to a general co-ordinate transformation is equivalent to renormalizing ε and μ. This is an huge simplification because now we need only write one computer code in a Cartesian system, and we can use this same code to handle any co-ordinate system by adjusting the ε and μ we feed into the calculation.
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Cited by
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Schurig, D., Mock, J. J., Justice, B. J., Cummer, S. A., Pendry, J. B., Starr, A. F., & Smith, D. R. (2006) · Science · doi:10.1126/science.1133628 · Cited by 7,586
Self-citationSearching for better plasmonic materials
West, P. R., Ishii, S., Naik, G. V., Emani, N. K., Shalaev, V. M., & Boltasseva, A. (2010) · Laser & Photonics Reviews · doi:10.1002/lpor.200900055 · Cited by 2,116
Collective Theory for Surface Enhanced Raman Scattering
García-Vidal, F. J., & Pendry, J. B. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.1163 · Cited by 854
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Metadata
- Authors
- Ward, A. J., & Pendry, J. B.
- Venue
- Journal of Modern Optics
- Publisher
- Informa UK Limited
- Published
- 1996-04
- Volume
- 43
- Issue
- 4
- Pages
- 773-793
- ISSN
- 0950-0340 (ISSN-L)
- 1362-3044
- OpenAlex
- W2041613904
- Cited by
- 483
- References
- 0
- FWCI
- 3.40
- Type
- journal article
- Language
- en
- Open access
- closed
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- Ward, A. J., & Pendry, J. B. (1996). Refraction and geometry in Maxwell's equations. Journal of Modern Optics. https://doi.org/10.1080/09500349608232782
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