Band Structures, Transmission and Reflection Coefficients

The figures show the band structure, transmission and reflection coefficients for the logpile structure which we have calculated using the OPAL codes. Compare the band structure and transmission coefficient. Within the band gap, where there are no extended states, transmission falls dramatically whereas the corresponding reflectivity reaches a peak.

Compare also the band structure shown here to the dispersion surface on the opposite page. Whereas the band structure is an w, k plot, the dispersion surface is a surface of allowed states in k space at a fixed w. The band structure is built by slicing through through dispersion surfaces at different w.