Circular integrated optical microresonators: Analytical methods and computational aspects

K.R. Hiremath; Manfred Hammer

doi:10.1007/978-1-4419-1744-7_2

Circular integrated optical microresonators: Analytical methods and computational aspects

K.R. Hiremath, Manfred Hammer

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

6 Citations (Scopus)

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 language	Undefined
Title of host publication	Photonic Microresonator Research and Applications
Editors	I. Chremmos, O. Schwelb, N. Uzunoglu
Place of Publication	London
Publisher	Springer
Pages	29-59
Number of pages	31
ISBN (Print)	978-1-4419-1743-0
DOIs	https://doi.org/10.1007/978-1-4419-1744-7_2
Publication status	Published - 2010

Publication series

Name	Springer Series in Optical Sciences
Publisher	Springer Verlag
Number	156
Volume	156

Keywords

METIS-275602
EWI-18120
IR-72370

Access to Document

10.1007/978-1-4419-1744-7_2

http://eprints.eemcs.utwente.nl/secure2/18120/01/mrchap.pdf

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). Springer. https://doi.org/10.1007/978-1-4419-1744-7_2

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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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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 proceeding › Chapter › Academic › peer-review

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