Treatment of boundary conditions in the analysis of PBG structures
Treatment of boundary conditions in the analysis of PBG structures
- Author(s):
- DOI: 10.1049/cp:20040442
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- Author(s): Source: Fifth IEE International Conference on Computation in Electromagnetics - CEM 2004, 2004 p. 51 – 52
- Conference: Fifth IEE International Conference on Computation in Electromagnetics - CEM 2004
- DOI: 10.1049/cp:20040442
- ISBN: 0 86341 400 1
- Location: Stratford-upon-Avon, UK
- Conference date: 19-22 April 2004
- Format: PDF
Floquet theory is used in the analysis of periodic structures such as photonic crystals. This paper explains the use of first form of the Floquet transform to treat the boundary conditions. The advantage is the use of standard (nonperiodic) software for the analysis by the finite-element method. an example of this technique to the electromagnetic Kronig-Penny model in three space dimensions, where the use of vector elements is essential is also presented.
Inspec keywords: Kronig-Penney model; Maxwell equations; photonic crystals; finite element analysis; linear algebra
Subjects: Numerical approximation and analysis; Linear algebra (numerical analysis); Photonic band gap (condensed matter); Algebra, set theory, and graph theory; Finite element analysis; Plane wave calculations (condensed matter electronic structure); Electromagnetic wave propagation
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