Using binary and sinusoidal photonic crystals as examples, it is shown how to construct two independent Floquet–Bloch waves for TM-polarized light in a lossless one-dimensional periodic structure. Particular attention is given to those special situations where either one Bloch wave and a hybrid Floquet mode develop inside the structure (instead of two Bloch waves) or both developed Bloch waves become periodic functions.
Morozov, G. V., & Sprung, D. W. L. (2012). Transverse-magnetic-polarized floquet-bloch waves in one-dimensional photonic crystals. Journal of the Optical Society of America B, 29(12), 3231-3239. https://doi.org/10.1364/JOSAB.29.003231