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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 2 — Feb. 1, 2008
  • pp: 437–451

Time-domain analysis of bandgap characteristics of two-dimensional periodic structures by use of a source-model technique

Alon Ludwig and Yehuda Leviatan  »View Author Affiliations

JOSA A, Vol. 25, Issue 2, pp. 437-451 (2008)

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We introduce a time-domain source-model technique for analysis of two-dimensional, transverse-magnetic, plane-wave scattering by a photonic crystal slab composed of a finite number of identical layers, each comprising a linear periodic array of dielectric cylinders. The proposed technique takes advantage of the periodicity of the slab by solving the problem within a unit cell of the periodic structure. A spectral analysis of the temporal behavior of the fields scattered by the slab shows a clear agreement between frequency bands where the spectral density of the transmitted energy is low and the bandgaps of the corresponding two-dimensionally infinite periodic structure. The effect of the bandwidth of the incident pulse and its center frequency on the manner it is transmitted through and reflected by the slab is studied via numerical examples.

© 2008 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1950) Diffraction and gratings : Diffraction gratings
(230.1480) Optical devices : Bragg reflectors
(260.2110) Physical optics : Electromagnetic optics
(290.0290) Scattering : Scattering
(320.5550) Ultrafast optics : Pulses

ToC Category:
Diffraction and Gratings

Original Manuscript: June 4, 2007
Revised Manuscript: November 21, 2007
Manuscript Accepted: November 25, 2007
Published: January 28, 2008

Alon Ludwig and Yehuda Leviatan, "Time-domain analysis of bandgap characteristics of two-dimensional periodic structures by use of a source-model technique," J. Opt. Soc. Am. A 25, 437-451 (2008)

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