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E-raamat: Optical Microring Resonators: Theory, Techniques, and Applications

(University of Alberta, Edmonton, Canada)
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This book details the theory, principles, and techniques for modeling and designing microring resonator devices, as well as their applications. It covers the theory of optical waveguides, whispering gallery modes, and coupled waveguide systems; the basic formalisms used to analyze simple microring resonators coupled to one or more waveguides; the analysis and design of coupled microring resonators for filter applications; and nonlinear optics and active photonic applications. Basic familiarity with optics is assumed, but review of some key concepts is provided in relevant chapters. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)

"a detailed, cognizant account of numerous crucial aspects of optical microring resonators" – Amr S. Helmy, Professor of Electrical & Computer Engineering, University of Toronto

"an excellent choice for gaining an insight into the vast potential of microring resonators" – Jalil Ali, Professor, Laser Center ISI-SIR, University of Technology, Malaysia

"a thorough treatment… appeal[ s] to a wide range of audiences" – L. Jay Guo, Professor of Electrical Engineering & Computer Science, The University of Michigan

The field of microring resonator research has seen tremendous growth over the past decade, with microring resonators now becoming a ubiquitous element in integrated photonics technology. This book fills the need for a cohesive and comprehensive treatment of the subject, given its importance and the proliferation of new research in the field. The expert author has as an introductory guide for beginners as well as a reference source for more experienced researchers. This book aims to fulfill this need by providing a concise and detailed treatment of the fundamental concepts and theories that underpin the various applications. To appeal to as wide a readership as possible, major areas of applications of microring resonators will also be covered in depth.

 

Arvustused

"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 "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 Technology, 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

Preface ix
1 Elements of an Optical Microring Resonator
1(52)
1.1 Dielectric Optical Waveguides
2(16)
1.1.1 The vectorial wave equations
4(6)
1.1.2 The EIM and solutions of the one-dimensional slab waveguide
10(3)
1.1.3 Waveguide dispersion
13(3)
1.1.4 Propagation loss
16(2)
1.2 Optical Modes in Bent Dielectric Waveguides
18(17)
1.2.1 Conformal transformation of bent waveguides
18(5)
1.2.2 Resonant modes in microdisks and microrings
23(7)
1.2.3 Full-vectorial analysis of bent waveguides
30(5)
1.3 Coupling of Waveguide Modes in Space
35(9)
1.3.1 The coupled mode equations
35(4)
1.3.2 Solution of the coupled mode equations
39(5)
1.4 Fabrication of Microring Resonators
44(3)
1.5 Summary
47(6)
References
48(5)
2 Analytical Models of a Microring Resonator
53(34)
2.1 Resonance Spectrum of an Uncoupled Microring Resonator
54(3)
2.2 Power Coupling Description of a Microring Resonator
57(18)
2.2.1 The add-drop microring resonator
58(9)
2.2.2 The all-pass microring resonator
67(2)
2.2.3 Phase and GD responses of a microring resonator
69(6)
2.3 Energy Coupling Description of a Microring Resonator
75(7)
2.4 Relationship between Energy Coupling and Power Coupling Formalisms
82(2)
2.5 Summary
84(3)
References
84(3)
3 Coupled Microring Optical Filters
87(76)
3.1 Periodic Arrays of Microring Resonators
88(11)
3.1.1 Periodic arrays of APMRs
89(4)
3.1.2 Periodic arrays of ADMRs
93(3)
3.1.3 Arrays of serially coupled microring resonators
96(3)
3.2 Transfer Functions of Coupled Microring Optical Filters
99(4)
3.3 Cascaded All-Pass Microring Filters
103(4)
3.4 Serially Coupled Microring Filters
107(15)
3.4.1 Energy coupling analysis of serially coupled microring filters
107(5)
3.4.2 Energy coupling synthesis of serially coupled microring filters
112(4)
3.4.3 Power coupling analysis of serially coupled microring filters
116(3)
3.4.4 Power coupling synthesis of serially coupled microring filters
119(3)
3.5 Parallel Cascaded ADMRs
122(4)
3.6 Parallel Cascaded Microring Doublets
126(7)
3.7 2D Networks of CMRs
133(23)
3.7.1 Energy coupling analysis of 2D CMR networks
134(4)
3.7.2 Energy coupling synthesis of 2D CMR networks
138(9)
3.7.3 Power coupling analysis of 2D CMR networks
147(9)
3.8 Summary
156(7)
References
157(6)
4 Nonlinear Optics Applications of Microring Resonators
163(78)
4.1 Nonlinearity in Optical Waveguides
163(28)
4.1.1 Intensity-dependent nonlinearity
163(3)
4.1.2 Free carrier-induced nonlinear effects
166(3)
4.1.3 Wave propagation in a nonlinear optical waveguide
169(7)
4.1.4 Free carrier-induced nonlinear effects in an optical waveguide
176(7)
4.1.5 FWM in a nonlinear optical waveguide
183(8)
4.2 Optical Bistability and Instability in a Nonlinear Microring Resonator
191(21)
4.2.1 SPM and enhanced nonlinearity in a microring resonator
192(4)
4.2.2 Bistability and self-pulsation in a microring resonator
196(4)
4.2.3 Free carrier effects and self-pulsation in a microring resonator
200(12)
4.3 All-Optical Switching in a Nonlinear Microring Resonator
212(14)
4.3.1 Enhanced nonlinear switching in a microring resonator
213(4)
4.3.2 Self-switching of a pulse in a nonlinear microring resonator
217(6)
4.3.3 Pump-and-probe switching in a nonlinear microring resonator
223(3)
4.4 FWM in a Nonlinear Microring Resonator
226(10)
4.5 Summary
236(5)
References
237(4)
5 Active Photonic Applications of Microring Resonators
241(38)
5.1 Mechanisms for Tuning Microring Resonators
241(12)
5.1.1 The thermo-optic effect
243(4)
5.1.2 The electro-optic effect
247(3)
5.1.3 Free carrier dispersion
250(3)
5.2 Dynamic Response of a Microring Modulator
253(11)
5.2.1 Dynamic energy-coupling model of a microring modulator
254(1)
5.2.2 Small-signal analysis
255(3)
5.2.2.1 Transfer function of an APMR modulator
258(1)
5.2.2.2 Modulation efficiency
258(2)
5.2.2.3 Electrical bandwidth
260(3)
5.2.2.4 Small-signal step response
263(1)
5.3 Large-Signal Response of a Microring Modulator
264(11)
5.3.1 Large-signal step response
264(3)
5.3.2 Large-signal response under sinusoidal modulation
267(7)
5.3.3 Intermodulation products
274(1)
5.4 Summary
275(4)
References
275(4)
Index 279