This book highlights the dynamical behavior of self-similar waves in asymmetric dual-core waveguides. The proposed dual-core waveguide consists of two closely spaced adjoining fibers in which one fiber is active and the other is passive. Due to the linear coupling between them, the dynamics of the wave propagating through the passive core can be controlled by manipulating the dynamics of the wave propagating in the active core. The optimal pulse compression or amplification of these waves as the length of the fiber tends to infinity is presented. The exact Mobius transform self-similar solutions that propagate through these waveguides self-similarly are subject to simple scaling rules. The book includes experiments conducted to corroborate the analytical predictions.
Author(s): Soloman Raju Thokala
Series: Progress in Optical Science and Photonics, 22
Publisher: Springer
Year: 2023
Language: English
Pages: 106
City: Singapore
Preface
Contents
1 Nonlinear Compression of Self-Similar Waves in Asymmetric Dual-Core Waveguides
1.1 Introduction
1.2 Asymmteric Dual-Core Waveguides
1.3 Compression Problem
1.4 Conclusion
References
2 Chirped Self-Similar Waves in Asymmetric Twin-Core Fibers with Nonlinear Gain
2.1 Introduction
2.2 Self-Similar Propagation in Asymmetric TCF
2.3 Exact Self-Similar Solutions
2.3.1 Trigonometric Solution
2.3.2 Pure Elliptic Solution
2.3.3 Dark Solitary Wave
2.4 Nonlinear Chirping
2.5 Nonlinear Compression
2.6 The Nonlinear Coherent Asymmetric Twin-Core Photonic Crystal Fiber Coupler
2.7 Conclusion
References
3 Controlling Optical Similaritons in Graded-Index Nonlinear Waveguide with an External Source
3.1 Introduction
3.2 Our Model
3.3 Explicit Self-Similar Solutions
3.3.1 Self-Focusing Nonlinearity σ=1
3.3.2 Self-Focusing Nonlinearity σ=-1
3.4 Conclusion
References
4 Dynamical Behavior of Optical Similaritons in a Tapered Graded-Index Nonlinear Fiber Amplifier with an External Source
4.1 Introduction
4.2 Asymmetric TCF and Similariton Propagation
4.3 Exact Self-Similar Solutions
4.3.1 Self-Focusing Nonlinearity, σ=1
4.3.2 Stability of the Exact Similaritons
4.3.3 Self-Defocusing Nonlinearity, σ=-1
4.4 Conclusion
References
5 Controllable Approximate and Asymptotic Similaritons in Asymmetric Dual-Core Waveguide
5.1 Introduction
5.2 Similariton Propagation in TCF
5.3 Controllable Behavior of Similaritons
5.3.1 Dispersive Similaritons
5.3.2 Rectangular Similaritons
5.4 Stability of the Similaritons
5.5 Self-Similar Evolutions of Trigonometric and Hermite–Gaussian …
5.6 Our Model
5.7 Asymptotic Novel Similaritons
5.7.1 Trigonometric Similariton
5.7.2 Hermite–Gauss similariton
5.8 Conclusion
References
6 Airy–Bessel Modulated Self-Similar Waves in Asymmetric Twin-Core Fiber Amplifiers
6.1 Introduction
6.2 Model Equation
6.3 Self-Similar Wave Packets in Asymmetric Twin-Core Fibers
6.3.1 Möbius Transform Wave Packet Similaritons for Self-Focusing Nonlinearity, σ=1
6.3.2 Möbius Transform Similaritons for Self-Defocusing Nonlinearity, σ=-1
6.4 Computer Simulations
6.5 Conclusion
References
7 Controlling Spatiotemporal Waves in Asymmetric Dual-Core Waveguides
7.1 Introduction
7.2 Self-Similar Propagation Through Asymmetric DWG
7.3 Asymptotic Exact Self-Similar Solutions
7.4 Conclusion
References
8 Conclusions and Future Perspectives
Appendix Matlab Codes
