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{{Short description|Technique in computational electromagnetism}}
{{Use American English|date=January 2019}}
'''Plane wave expansion method''' (PWE) refers to a computational technique in [[electromagnetics]] to solve the [[Maxwell's equations]] by formulating an [[eigenvalue]] problem out of the equation. This method is popular among the [[photonic crystal]] community as a method of solving for the [[band structure]] (dispersion relation) of specific photonic crystal geometries. PWE is traceable to the analytical formulations, and is useful in calculating modal solutions of Maxwell's equations over an inhomogeneous or periodic geometry.<ref>{{cite journal |last1=Andrianov |first1=Igor V. |last2=Danishevskyy |first2=Vladyslav V. |last3=Topol |first3=Heiko |last4=Rogerson |first4=Graham A. |title=Propagation of Floquet–Bloch shear waves in viscoelastic composites: analysis and comparison of interface/interphase models for imperfect bonding |journal=Acta Mechanica |date=25 November 2016 |volume=228 |page=1177-1196 |doi=10.1007/s00707-016-1765-4}}</ref> It is specifically tuned to solve problems in a time-harmonic forms, with [[Dispersion (optics)|non-dispersive]] media (a reformulation of the method named Inverse dispersion allows frequency-dependent refractive indices<ref >{{cite journal| title= Inverse dispersion method for calculation of complex photonic band diagram and PT symmetry |journal= Physical Review B|pages=165132 |year=2016|doi= 10.1103/PhysRevB.93.165132 | last1=Rybin |first1=Mikhail |last2=Limonov |first2=Mikhail |volume=93|issue= 16|arxiv=1707.02870 }}</ref>).
==Principles==
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