Circular integrated optical microresonators: Analytical methods and computational aspects

K.R. Hiremath, Manfred Hammer

    Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

    Abstract

    This chapter discusses an ab-initio frequency-domain model of circular microresonators, built on the physical notions that commonly enter the description of the resonator functioning in terms of interaction between fields in the circular cavity with the modes supported by the straight bus waveguides. Quantitative evaluation of this abstract model requires propagation constants associated with the cavity/ bend segments, and scattering matrices, that represent the wave interaction in the coupler regions. These quantities are obtained by an analytical (2-D) or numerical (3-D) treatment of bent waveguides, along with spatial coupled mode theory (CMT) for the couplers. The required CMT formulation is described in detail. Also, quasianalytical approximations for fast and accurate computation of the resonator spectra are discussed. The formalism discussed in this chapter provides valuable insight in the functioning of the resonators, and it is suitable for practical device design.
    Original languageUndefined
    Title of host publicationPhotonic Microresonator Research and Applications
    EditorsI. Chremmos, O. Schwelb, N. Uzunoglu
    Place of PublicationLondon
    PublisherSpringer
    Pages29-59
    Number of pages31
    ISBN (Print)978-1-4419-1743-0
    DOIs
    Publication statusPublished - 2010

    Publication series

    NameSpringer Series in Optical Sciences
    PublisherSpringer Verlag
    Number156
    Volume156

    Keywords

    • METIS-275602
    • EWI-18120
    • IR-72370

    Cite this

    Hiremath, K. R., & Hammer, M. (2010). Circular integrated optical microresonators: Analytical methods and computational aspects. In I. Chremmos, O. Schwelb, & N. Uzunoglu (Eds.), Photonic Microresonator Research and Applications (pp. 29-59). [10.1007/978-1-4419-1744-7_2] (Springer Series in Optical Sciences; Vol. 156, No. 156). London: Springer. https://doi.org/10.1007/978-1-4419-1744-7_2