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
Hiremath, K.R. ; Hammer, Manfred. / Circular integrated optical microresonators: Analytical methods and computational aspects. Photonic Microresonator Research and Applications. editor / I. Chremmos ; O. Schwelb ; N. Uzunoglu. London : Springer, 2010. pp. 29-59 (Springer Series in Optical Sciences; 156).
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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.",
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author = "K.R. Hiremath and Manfred Hammer",
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Hiremath, KR & 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., 10.1007/978-1-4419-1744-7_2, Springer Series in Optical Sciences, no. 156, vol. 156, Springer, London, pp. 29-59. https://doi.org/10.1007/978-1-4419-1744-7_2

Circular integrated optical microresonators: Analytical methods and computational aspects. / Hiremath, K.R.; Hammer, Manfred.

Photonic Microresonator Research and Applications. ed. / I. Chremmos; O. Schwelb; N. Uzunoglu. London : Springer, 2010. p. 29-59 10.1007/978-1-4419-1744-7_2 (Springer Series in Optical Sciences; Vol. 156, No. 156).

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

TY - CHAP

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N2 - 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.

AB - 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.

KW - METIS-275602

KW - EWI-18120

KW - IR-72370

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Hiremath KR, Hammer M. Circular integrated optical microresonators: Analytical methods and computational aspects. In Chremmos I, Schwelb O, Uzunoglu N, editors, Photonic Microresonator Research and Applications. London: Springer. 2010. p. 29-59. 10.1007/978-1-4419-1744-7_2. (Springer Series in Optical Sciences; 156). https://doi.org/10.1007/978-1-4419-1744-7_2