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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 9 — Apr. 25, 2011
  • pp: 8641–8655

Analysis of light propagation in slotted resonator based systems via coupled-mode theory

Kirankumar R. Hiremath, Jens Niegemann, and Kurt Busch  »View Author Affiliations


Optics Express, Vol. 19, Issue 9, pp. 8641-8655 (2011)
http://dx.doi.org/10.1364/OE.19.008641


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Abstract

Optical devices with a slot configuration offer the distinct feature of strong electric field confinement in a low refractive index region and are, therefore, of considerable interest in many applications. In this work we investigate light propagation in a waveguide-resonator system where the resonators consist of slotted ring cavities. Owing to the presence of curved material interfaces and the vastly different length scales associated with the sub-wavelength sized slots and the waveguide-resonator coupling regions on the one hand, and the spatial extent of the ring on the other hand, this prototypical system provides significant challenges to both direct numerical solvers and semi-analytical approaches. We address these difficulties by modeling the slot resonators via a frequency-domain spatial Coupled-Mode Theory (CMT) approach, and compare its results with a Discontinuous Galerkin Time-Domain (DGTD) solver that is equipped with curvilinear finite elements. In particular, the CMT model is built on the underlying physical properties of the slotted resonators, and turns out to be quite efficient for analyzing the device characteristics. We also discuss the advantages and limitations of the CMT approach by comparing the results with the numerically exact solutions obtained by the DGTD solver. Besides providing considerable physical insight, the CMT model thus forms a convenient basis for the efficient analysis of more complex systems with slotted resonators such as entire arrays of waveguide-coupled resonators and systems with strongly nonlinear optical properties.

© 2011 OSA

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(130.3120) Integrated optics : Integrated optics devices
(130.6010) Integrated optics : Sensors
(230.5750) Optical devices : Resonators

ToC Category:
Integrated Optics

History
Original Manuscript: January 13, 2011
Manuscript Accepted: March 11, 2011
Published: April 19, 2011

Citation
Kirankumar R. Hiremath, Jens Niegemann, and Kurt Busch, "Analysis of light propagation in slotted resonator based systems via coupled-mode theory," Opt. Express 19, 8641-8655 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-9-8641


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