Analytic properties of photonic crystal superprism parameters

M. J. Steel; R. Zoli; C. Grillet; R. C. McPhedran; C. Martijn De Sterke; A. Norton; P. Bassi; B. J. Eggleton

doi:10.1103/PhysRevE.71.056608

Analytic properties of photonic crystal superprism parameters

M. J. Steel^*, R. Zoli, C. Grillet, R. C. McPhedran, C. Martijn De Sterke, A. Norton, P. Bassi, B. J. Eggleton

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

Abstract

We study the analytic properties of the photonic crystal superprism resolution parameters p, q, and r introduced previously by Baba and Matsumoto [Appl. Phys. Lett. 81, 2325 (2002)], which characterize the potential dispersive power of a superprism. We find closed form expressions for these quantities that greatly simplify their accurate evaluation and reveal significant insights about their behavior. The expressions imply general properties of the parameters which are true for all bands and all photonic crystals. In particular, we demonstrate that all photonic crystals exhibit infinite resolution as measured by the parameter r along particular contours in any photonic band.

Original language	English
Article number	056608
Pages (from-to)	1-9
Number of pages	9
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	71
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.71.056608
Publication status	Published - May 2005
Externally published	Yes

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title = "Analytic properties of photonic crystal superprism parameters",

abstract = "We study the analytic properties of the photonic crystal superprism resolution parameters p, q, and r introduced previously by Baba and Matsumoto [Appl. Phys. Lett. 81, 2325 (2002)], which characterize the potential dispersive power of a superprism. We find closed form expressions for these quantities that greatly simplify their accurate evaluation and reveal significant insights about their behavior. The expressions imply general properties of the parameters which are true for all bands and all photonic crystals. In particular, we demonstrate that all photonic crystals exhibit infinite resolution as measured by the parameter r along particular contours in any photonic band.",

author = "Steel, {M. J.} and R. Zoli and C. Grillet and McPhedran, {R. C.} and {Martijn De Sterke}, C. and A. Norton and P. Bassi and Eggleton, {B. J.}",

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AU - Steel, M. J.

AU - Zoli, R.

AU - Grillet, C.

AU - McPhedran, R. C.

AU - Martijn De Sterke, C.

AU - Norton, A.

AU - Bassi, P.

AU - Eggleton, B. J.

PY - 2005/5

Y1 - 2005/5

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AB - We study the analytic properties of the photonic crystal superprism resolution parameters p, q, and r introduced previously by Baba and Matsumoto [Appl. Phys. Lett. 81, 2325 (2002)], which characterize the potential dispersive power of a superprism. We find closed form expressions for these quantities that greatly simplify their accurate evaluation and reveal significant insights about their behavior. The expressions imply general properties of the parameters which are true for all bands and all photonic crystals. In particular, we demonstrate that all photonic crystals exhibit infinite resolution as measured by the parameter r along particular contours in any photonic band.

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Analytic properties of photonic crystal superprism parameters

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