Optical Microring Resonators

Vien Van

"This book provides a concise treatment of the theory, principle and techniques of microring resonator devices, and their applications in optical filters, sensors, laser, nonlinear optics, optomechanics and quantum optics. Including a detailed treatment of the theory and techniques for modeling and design of microring devices, the work is a handy and practical guide for graduate students and researchers who wish to familiarize themselves with the technology and acquire sufficient knowledge to enable the design and development of microring devices for their own applications." – Optics & Photonics News (Jul 2017)"This book gives a good snapshot on how to get started in microring resonators and their practical implications. Surely, an excellent choice for gaining an insight into the vast potential of MRRs." – Jalil Ali, Professor, Laser Center ISI-SIR, University of Malaysia"a thorough treatment of microring technology from basics to various applications, facilitated by the mathematical details, making the book appeal to a wide range of audiences from graduate students to experienced researchers who are interested in learning about and using microrings" – L. Jay Guo, Professor, Department of Electrical Engineering & Computer Science, The University of Michigan"a great reference for both researchers and students interested in using microring resonators" – Dr. Sai Tak Chu, City University of Hong Kong"The text provides a detailed, cognizant account of numerous crucial aspects of optical microring resonators…. Linear as well as nonlinear effects, active as well as passive structures are all addressed in this book." – Amr S. Helmy, Professor of Electrical & Computer Engineering, University of Toronto"This book gathers all the analytical tools for designing optical microring resonators. The exposition is clear, succinct, and self-contained. The book covers topics broader than microring resonators, like waveguides, filter design, nonlinear optics, and optical switches. It will meet the needs of those who want a quick introduction to any of these topics." – Ping-Tong Ho, Professor of Electrical and Computer Engineering, University of Maryland

• Elements of an optical microring resonatorDielectric optical waveguidesThe vectorial wave equationsThe Effective Index Method and solutions of the 1D slab waveguideWaveguide dispersionPropagation lossOptical modes in bent dielectric waveguidesConformal transformation of bent waveguidesResonant modes in microdisks and microringsFull-vectorial analysis of bent waveguidesCoupling of waveguide modes in spaceThe coupled mode equationsSolution of the coupled mode equationsFabrication of microring resonatorsSummaryAnalytical models of microring resonatorsResonance spectrum of an uncoupled microring resonatorPower coupling description of a microring resonatorThe add-drop microring resonatorThe all-pass microring resonatorPhase and group delay responses of a microring resonatorEnergy coupling description of a microring resonatorRelationship between energy coupling and power coupling formalismsSummaryCoupled microring optical filtersPeriodic arrays of microring resonatorsPeriodic arrays of all-pass microring resonatorsPeriodic arrays of add-drop microring resonatorsArrays of serially coupled microring resonatorsTransfer functions of coupled microring optical filtersCascaded all-pass microring filtersSerially coupled microring filtersEnergy coupling analysis of serially coupled microring filtersEnergy coupling synthesis of serially coupled microring filtersPower coupling analysis of serially coupled microring filtersPower coupling synthesis of serially coupled microring filtersParallel cascaded add-drop microring resonatorsParallel cascaded microring doubletsTwo dimensional networks of coupled microring resonatorsEnergy coupling analysis of 2D CMR networksEnergy coupling synthesis of 2D CMR networksPower coupling analysis of 2D CMR networksSummaryNonlinear optics applications of microring resonatorsNonlinearity in optical waveguidesIntensity-dependent nonlinearityFree carrier induced nonlinear effectsWave propagation in a nonlinear optical waveguideFree carrier induced nonlinear effects in an optical waveguideFour wave mixing in a nonlinear optical waveguideOptical bistability and instability in a nonlinear microring resonatorSelf phase modulation and enhanced nonlinearity in a microring resonatorBistability and self pulsation in a microring resonatorFree carrier effects and self pulsation in a microring resonatorAll-optical switching in a nonlinear microring resonatorEnhanced nonlinear switching in a microring resonatorSelf switching of a pulse in a nonlinear microring resonatorPump-and-probe switching in a nonlinear microring resonatorFour wave mixing in a nonlinear microring resonatorSummaryActive photonic applications of microring resonatorsMechanisms for tuning microring resonatorsThe thermo-optic effectThe electro-optic effectFree carrier disperionDynamic response of a microring modulatorDynamic energy coupling model of a microring modulatorSmall-signal analysisLarge-signal response of a microring modulatorSummary