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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. 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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