Abstract

The transmission spectra of a three-dimensional photonic crystal for various incident angles was examined. When the incident angle is not normal to the surface of the crystal, the direction of the wave vector of light is sensitive to the frequency. In order to compare the experimental band edge with the theoretical band diagram, we calculated the band diagram of the frequency versus the incident angle by converting the ordinary band diagram, which is ordinarily expressed as the diagram of the frequency versus the internal wave vector. As a result of the comparison, the changes of the band edge which was obtained in the experimental transmission measurement agreed well with the theoretical changes. It became clear that the two-step attenuation of transmission which is at large incident angles is caused by the split of the first and the second band edge (also the third and the fourth band edge) at large incident angles.

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