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Energy Spectra in Dual-Periodic Multilayer Structures
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| Organization: | Chiba University |
| Department: | Institute of Media and Information Technology |
| Organization: | Tokyo Institute for Technology, Japan |
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| Journal of the Physical Society of Japan |
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Transmission spectra have been calculated for the dual-periodic multilayers, by means of the transfer matrix method using a model of a sequential square-well type variation of refractive index modulated by a sinusoidal function with a variable periodicity relative to that of the basic multilayer. The calculated energy diagrams are plotted against the phase shift parameter of the latter period. These diagrams exhibit a remarkable feature showing butterfly-like patterns, similar to those in the electron energy diagrams for solid crystals in uniform magnetic fields. It is suggested that the one-dimensional photonic bands in the dual-periodic multilayers are an optical analogue of the electronic energy bands of solids in the quantum magnetic regime.
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photonic crystal, dual-periodic structure, butterfly diagram, quasi-crystal
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