Perturbation theory for Maxwell's equations with shifting material boundaries

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 65, Issue 6, 2002, Pages

  Johnson, Steven G ^a   Ibanescu, M ^a   Skorobogatiy, M A ^a   Weisberg, O ^a   Joannopoulos, J D ^a   Fink, Y ^a  

^a OmniGuide   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL EFFICIENCY; HIGHER-ORDER PERTUBATIVE METHODS; MATERIAL-BOUNDARY PERTURBATIONS; MODE-COUPLING CONSTANT;

APPROXIMATION THEORY; BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETISM; GREEN'S FUNCTION; INTEGRAL EQUATIONS; MAXWELL EQUATIONS; PERMITTIVITY;

PERTURBATION TECHNIQUES;

EID: 41349093752     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.066611     Document Type: Article

References (23)

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21. As yet another alternative, the waveguide-mode eigenproblem in terms of ß yields a first-order correction that is a mixture between Eqs. (2) and (5) for different components of E [1,5,6].
22. Depending upon whether one is doing time- or z-(independent perturbation/coupled-mode theory, there are additional (well known and easily derived) normalization factors multiplying the coupling integral [8] (see, e.g., Ref. [5]).
23. 2, since this is the, convergence rate of the eigenfrequencies [16], but is actually closer to Ax because of errors inherent in the numerical differentiation and the interpolated line integrals on a discrete grid.