Photonic bandgap structure and long-range periodicity of a cumulative Fibonacci lattice-中国期刊网

摘要 Inthiswork,westudythephotonicbandofcumulativeFibonaccilattices,ofwhichthestructureiscomposedofallgeneratedunitsinaFibonaccisequence.TheresultsarecomparedwithdistributedBraggreflector(DBR)structureswiththesamenumbersoflayers.Photonicbandgapsarefoundattwocharacteristicfrequencies,symmetricallyseparatedfromthecentralbandgapintheDBRcounterpart.FieldamplitudeandphasedistributionintheFibonaccilatticeindicatesaninterferentialoriginofthebandgaps.Fouriertransformontherefractiveindexprofileiscarriedout,andtheresultconfirmsadeterminatelong-rangeperiodicitythatagreeswellwiththephotonicbandstructure.

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Photonic bandgap structure and long-range periodicity of a cumulative Fibonacci lattice

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Photonic bandgap structure and long-range periodicity of a cumulative Fibonacci lattice

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