1 November 2008 Coupled optical defect microcavities in one-dimensional photonic crystals and quasi-normal modes
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Optical Engineering, 47(11), 114601 (2008). doi:10.1117/1.3028335
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.
M. Maksimovic, Manfred Hammer, E. W. C. van Groesen, "Coupled optical defect microcavities in one-dimensional photonic crystals and quasi-normal modes," Optical Engineering 47(11), 114601 (1 November 2008). https://doi.org/10.1117/1.3028335

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