Propagation of light in a one-dimensional photonic crystal: analysis by the Floquet-Bloch function method

Journal Article · Sat May 31 04:00:00 EDT 2008 · Quantum Electronics (Woodbury, N.Y.)

DOI:https://doi.org/10.1070/QE2008V038N05ABEH013653· OSTI ID:21466810

Nurligareev, D Kh; Sychugov, V A ^[1]

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1. A. M. Prokhorov General Physics Institute, Russian Academy of Sciences, Moscow (Russian Federation)

The problem of light propagation in a layered periodic medium with a step refractive index profile is considered. The exact solution of this problem is presented in the form of a nonuniform wave, for which the field amplitude distribution is written in an analytic form and the shape of its wave surfaces is determined. The reflection coefficient is obtained for a plane wave incident from the homogeneous medium at the boundary of a semi-infinite layered periodic medium and exciting a Floquet-Bloch wave. Critical conditions are found in which the Floquet-Bloch wave is infinite in the semi-infinite layered medium and exponentially decays in the adjacent homogeneous medium. Dispersion equations and field distributions of surface waves (modes) localised near the boundary of the semi-infinite layered medium are derived and conditions of their appearance are determined. The boundaries of admissible values of the refractive index of the adjacent medium depending on the parameters of the layered periodic medium are established. Dispersion relations for the surface modes in the semi-infinite layered periodic medium (bounded by a system of coupled waveguides) are obtained upon changing the thickness of the boundary layer. (layered periodic structures)

• OSTI ID: 21466810
• Journal Information: Quantum Electronics (Woodbury, N.Y.), Journal Name: Quantum Electronics (Woodbury, N.Y.) Journal Issue: 5 Vol. 38; ISSN 1063-7818
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
BOUNDARY LAYERS
CRYSTALS
DISPERSION RELATIONS
DISPERSIONS
DISTRIBUTION
ELECTROMAGNETIC RADIATION
EXACT SOLUTIONS
LAYERS
LIGHT TRANSMISSION
MATHEMATICAL SOLUTIONS
ONE-DIMENSIONAL CALCULATIONS
OPTICAL PROPERTIES
PERIODICITY
PHYSICAL PROPERTIES
RADIATIONS
REFLECTION
REFRACTIVE INDEX
SURFACES
TRANSMISSION
VARIATIONS
VISIBLE RADIATION
WAVE PROPAGATION
WAVEGUIDES