Order-{ital N} spectral method for electromagnetic waves

Journal Article · Thu Jun 15 04:00:00 EDT 1995 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.51.16635· OSTI ID:69477

Chan, C T; Yu, Q L; Ho, K M ^[1]

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1. Ames Laboratory-United States Department of Energy and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011 (United States)

We show that the eigenmodes for electromagnetic waves in an inhomogeneous dielectric medium can be obtained with an algorithm that scales linearly with the size of the system. The method employs discretization of the Maxwell equations in both the spatial and the time domain and the integration of the Maxwell equations in the time domain. The spectral intensity can then be obtained by a Fourier transform. We applied the method to a few problems of current interest, including the photonic band structure of a periodic dielectric structure, the effective dielectric constants of some three-dimensional and two-dimensional systems, and the defect states of a periodic dielectric structure with structural defects.

• Research Organization: Ames National Laboratory
• DOE Contract Number: W-7405-ENG-82
• OSTI ID: 69477
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 23 Vol. 51; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CRYSTAL MODELS
DIELECTRIC MATERIALS
DIELECTRIC TENSOR
ELECTROMAGNETIC RADIATION
FINITE DIFFERENCE METHOD
INHOMOGENEOUS FIELDS
MAXWELL EQUATIONS
QUANTUM ELECTRONICS
WAVE PROPAGATION