Perturbation theory for Maxwell’s equations with shifting material boundaries

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

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

EID: 84928785514     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.066611     Document Type: Article

References (22)

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20. As yet another alternative, the waveguide-mode eigenproblem in terms of (Formula presented) yields a first-order correction that is a mixture between Eqs. (2) and (5) for different components of (Formula presented) 156.
21. Depending upon whether one is doing time- or z-(in)dependent perturbation/coupled-mode theory, there are additional (well known and easily derived) normalization factors multiplying the coupling integral 8 (see, e.g., Ref. 5).
22. The exact power law would be at best (Formula presented), since this is the convergence rate of the eigenfrequencies 16, but is actually closer to (Formula presented) because of errors inherent in the numerical differentiation and the interpolated line integrals on a discrete grid.