Homogenization of Magnetodielectric Photonic Crystals

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This article discusses homogenization of magnetodielectric photonic crystals.

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4 p.

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Krokhin, Arkadii A. & Reyes, E. July 9, 2004.


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This article discusses homogenization of magnetodielectric photonic crystals.

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4 p.


Copyright 2004 American Physical Society. The following article appeared in Physical Review Letters, 93:2, http://link.aps.org/doi/10.1103/PhysRevLett.93.023904

Abstract: We calculate the low-frequency index of refraction of a medium which is homogeneous along axis z and possesses a periodic dependence of the permittivity ɛ(r) and permeability μ(r) in the x-y plane (2D magnetodielectric photonic crystal). Exact analytical formulas for the effective index of refraction for two eigenmodes with vector E or H polarized along axis z are obtained. We show that, unlike nonmagnetic photonic crystals where the E mode is ordinary and the H mode is extraordinary, now both modes exhibit extraordinary behavior. Because of this distinction, the magnetodielectric photonic crystals exhibit optical properties that do not exist for natural crystals. We also discuss the limiting case of perfectly conducting cylinders and clarify the so-called problem of noncommuting limits, ω → 0 and ɛ → ∞.


  • Physical Review Letters, 2004, College Park: American Physical Society


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  • Publication Title: Physical Review Letters
  • Volume: 93
  • Issue: 2
  • Pages: 4
  • Peer Reviewed: Yes


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  • July 9, 2004

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  • Oct. 9, 2012, 10:02 a.m.

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  • April 2, 2014, 2:44 p.m.

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Krokhin, Arkadii A. & Reyes, E. Homogenization of Magnetodielectric Photonic Crystals, article, July 9, 2004; [College Park, Maryland]. (digital.library.unt.edu/ark:/67531/metadc107768/: accessed December 12, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.