Theory of photonic crystals includes an extensive study of electromagnetism and optics in conjunction with solid state physics. Many things have been known for over a century and I want to explore how the calculation on photonic crystal emanates from the theories of electromagnetic waves, basic material optics and some concepts from the eld of solid state physics. The electromagnetic wave interacts at the interfaces of the building blocks in the photonic crystals. Maxwells equations can be used to predict the photonic behavior of light propagating in the structure in terms of Bloch functions, band structures and band gaps with the application of transfer matrix method.
Keywords and Phrases
Reflection and Transmission spectra, photonic crystals, transfer matrix method.
A.M.S. subject classiﬁcation
32C81, 40C05, 78-XX, 81V80.