Photonic crystal optics and homogenization of 2D periodic composites

Citation
P. Halevi et al., Photonic crystal optics and homogenization of 2D periodic composites, PHYS REV L, 82(4), 1999, pp. 719-722
Citations number
35
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
82
Issue
4
Year of publication
1999
Pages
719 - 722
Database
ISI
SICI code
0031-9007(19990125)82:4<719:PCOAHO>2.0.ZU;2-L
Abstract
We study the long-wavelength limit for an arbitrary photonic crystal (PC) o f 2D periodicity. Light propagation is not restricted to the plane of perio dicity. We proved that 2D PC's are uniaxial or biaxial and derived compact, explicit formulas for the effective ("principal") dielectric constants; th ese are plotted for silicon-air composites. This could facilitate the custo m design of optical components for diverse spectral regions and application s. Our method of "homogenization" is not limited to optical properties, but is also valid for electrostatics, magnetostatics, de conductivity, thermal conductivity, etc. Thus our results are applicable to inhomogeneous media where exact, explicit formulas are scarce. Our numerical method yields resu lts with unprecedented accuracy, even for very large dielectric contrasts a nd filling fractions.