Coupled optical defect microcavities in one-dimensional photonic crystals and quasi-normal modes

Milan Maksimovic, Manfred Hammer, Embrecht W.C. van Groesen

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    We analyze coupled optical defect cavities realized in finite one-dimensional photonic crystals (PC). Viewing these as open systems, where waves are permitted to leave the structures, one obtains eigenvalue problems for complex frequencies (eigenvalues) and quasi-normal modes (QNM) (eigenfunctions). Single-defect structures (PC atoms) can be viewed as elementary building blocks for multiple-defect structures (PC molecules) with more complex functionality. The QNM description links the resonant behavior of individual PC atoms to the properties of the PC molecules via eigenfrequency splitting. A variational principle for QNMs permits one to predict the eigenfield and the complex eigenvalues in PC molecules, starting with a field template incorporating the relevant QNMs of the PC atoms. Furthermore both the field representation and the resonant spectral transmission close to these resonances are obtained from a variational formulation of the transmittance problem using a template with the most relevant QNMs. The method applies to both symmetric and nonsymmetric single and multiple-cavity structures with weak or strong coupling between the defects.
    Original languageUndefined
    Article number10.1117/1.3028335
    Pages (from-to)114601
    Number of pages12
    JournalOptical engineering
    Issue numberWoTUG-31/11
    Publication statusPublished - 2008


    • METIS-254949
    • EWI-14307
    • IR-62578

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