Photonic band structure of dispersive metamaterials formulated as a Hermitian eigenvalue problem

Phys Rev Lett. 2010 Feb 26;104(8):087401. doi: 10.1103/PhysRevLett.104.087401. Epub 2010 Feb 26.


We formulate the photonic band structure calculation of any lossless dispersive photonic crystal and optical metamaterial as a Hermitian eigenvalue problem. We further show that the eigenmodes of such lossless systems provide an orthonormal basis, which can be used to rigorously describe the behavior of lossy dispersive systems in general.