Paper
29 December 2003 Optimization of resonances in photonic crystal slabs
Robert P. Lipton, Stephen P. Shipman, Stephanos Venakides
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Abstract
Variational methods are applied to the design of a two-dimensional lossless photonic crystal slab to optimize resonant scattering phenomena. The method is based on varying properties of the transmission coefficient that are connected to resonant behavior. Numerical studies are based on boundary-integral methods for crystals consisting of multiple scatterers. We present an example in which we modify a photonic crystal consisting of an array of dielectric rods in air so that a weak transmission anomaly is transformed into a sharp resonance.
© (2003) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Robert P. Lipton, Stephen P. Shipman, and Stephanos Venakides "Optimization of resonances in photonic crystal slabs", Proc. SPIE 5184, Physics, Theory, and Applications of Periodic Structures in Optics II, (29 December 2003); https://doi.org/10.1117/12.505091
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Cited by 7 scholarly publications.
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KEYWORDS
Photonic crystals

Scattering

Dielectrics

Crystals

Magnetism

Calculus

Numerical analysis

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