Book ChapterDOI
Circular Integrated Optical Microresonators: Analytical Methods and Computational Aspects
Kirankumar R. Hiremath,Manfred Hammer +1 more
- Vol. 156, Iss: 156, pp 29-59
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TLDR
In this article, an ab initio frequency domain model of circular micro-resonators, 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, is discussed.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, quasi-analytical approximations for fast and accurate computation of the resonator spectra are discussed. The formalism discussed in this chapter provides valuable insight into the functioning of the resonators, and it is suitable for practical device design.read more
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Book
Fundamentals of optical waveguides
TL;DR: Theorems and Formulas used in this chapter relate to theorems in optical waveguides and lightwave Circuits that describe the behaviour of Planar Waveguides through the response of the E-modulus effect.
Book ChapterDOI
Guided Wave Interaction in Photonic Integrated Circuits — A Hybrid Analytical/Numerical Approach to Coupled Mode Theory
TL;DR: Using methods from finite-element numerics, the properties of a circuit are approximated by superpositions of eigen-solutions for its constituents, leading to quantitative, computationally cheap, and easily interpretable models.
Journal ArticleDOI
Hybrid coupled mode modelling of the evanescent excitation of a dielectric tube by semi-guided waves at oblique angles
TL;DR: In this article, a 2.5D hybrid analytical/numerical coupled mode model for the evanescent excitation of the tube through semi-guided waves propagating in the slab at oblique angles is proposed.
Journal ArticleDOI
Computer-aided design and simulation of optical microring resonators
TL;DR: Although computationally very demanding, the three-dimensional full-vectorial finite element offers designers a feasible and efficient way to design and simulate complex integrated optical components containing microring resonators, especially in the case when the radii of rings are too small to approximate that theories were valid.
References
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Numerical recipes in C
TL;DR: The Diskette v 2.06, 3.5''[1.44M] for IBM PC, PS/2 and compatibles [DOS] Reference Record created on 2004-09-07, modified on 2016-08-08.
Book
Computational Electrodynamics: The Finite-Difference Time-Domain Method
TL;DR: This paper presents background history of space-grid time-domain techniques for Maxwell's equations scaling to very large problem sizes defense applications dual-use electromagnetics technology, and the proposed three-dimensional Yee algorithm for solving these equations.
Proceedings Article
Optical microcavities
TL;DR: In quantum optical devices, microcavities can coax atoms or quantum dots to emit spontaneous photons in a desired direction or can provide an environment where dissipative mechanisms such as spontaneous emission are overcome so that quantum entanglement of radiation and matter is possible.