Plane wave expansion method

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Plane wave expansion method (PWE) refers to a computational technique in <a href="/facts/Electromagnetics/oAkmALHT">electromagnetics</a> to solve the <a href="/facts/Maxwell%27s_equations/LfJ1drHS">Maxwell's equations</a> by formulating an <a href="/facts/Eigenvalue/8TjEoT8u">eigenvalue</a> problem out of the equation. This method is popular among the <a href="/facts/Photonic_crystal/R763CtuW">photonic crystal</a> community as a method of solving for the <a href="/facts/Band_structure/W5o7oE2R">band structure</a> (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 <a href="/facts/Dispersion_(optics)/cUdHnYXz">non-dispersive</a> media (a reformulation of the method named Inverse dispersion allows frequency-dependent refractive indices).
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Plane wave expansion method open-in-new

Plane wave expansion method