Abstract
Bandgaps, including high-order ones, of one-dimensional photonic crystals are analysed. Accurate analytical expressions for band edges for both s and p polarized light are derived. As a consequence, the conditions for bandgap closing are obtained in a simple analytical form. The derivation is based on a perturbative expansion of the dispersion equation using a new parameter which remains small around the band edges of all physically feasible one-dimensional photonic crystals.
Original language | English |
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Article number | 045101 |
Journal | Journal of Optics |
Volume | 12 |
Issue number | 4 |
DOIs | |
Publication status | Published - Apr 2010 |
Keywords
- bi-layer photonic crystal
- bandgaps
- perturbative expansion of dispersion equation