A long-period fiber grating (LPFG) allows light coupling between the guided mode and the cladding modes. The transmission spectrum of a typical LPFG contains a series of attenuation bands centred at discrete wavelengths, leading to extensive studies of its applications as an all-fiber filter. In this report, LPFG filters in the form of a single LPFG or two parallel LPFGs are analysed in detail. A single LPFG provides a band-rejection output while two parallel LPFGs provide an additional band-pass output…
Contents
Chapter 1 Introduction
1.1 Historical Background
1.2 Fiber Grating
1.3 Fabrication Of Long-Period Fiber Gratings
1.4 Objectives
1.5 Organisation Of The Thesis
References
Chapter 2 Analysis Of Uniform Long-Period Fiber Grantings
2.1 Introduction
2.2 Coupled-Mode Theory
2.3 Transmission Characteristics Of A Uniform Lpfg
2.4 Conclusion
References
Chapter 3 Analysis Of Apodized Phase Shifted Long Period Fiber Grantigs
3.1 Introduction 30
3.2 Method Of Analysis
3.3 Index Apodization
3.3.1 Zero Transmission At Λ0 With M > 1 And Φ = 0
3.3.2 Zero Transmission At Λ0 With M > 1 And Φ = Π
3.3.3 Complete Transmission At Λ0 With M > 1 And Φ = 0
3.3.4 Complete Transmission At Λ0 With M > 1 And Φ = Π
3.4 Length Apodization
3.4.1 Zero Transmission At Λ0
3.4.2 Complete Transmission At Λ0
3.5 Conclusion
References
Chapter 4 Analysis Of Two Prallel Long Period Fiber Grantings
4.1 Introduction
4.2 Outline Of Analysis
4.3 Coupling Coefficients
4.3.1 Coupling Coefficient Κ
4.3.2 Coupling Coefficient C
4.4 Results And Discussions
4.4.1 Offset Distance Z1 = 0
4.4.2 Offset Distance 0 < Z1 < L 4.4.3 Offset Distance Z1 = L 4.4.4 Offset Distance Z1 > L
4.5 Comparison With Experiment Data
4.6 Conclusion
4.7 Appendix
4.7.1 Coupling Of Three Modes
4.7.2 Coupling Of Four Modes
References
Chapter 5 Transfer Matrix Metod For The Analysis Of Two Prallel Dissimilar Non Uniform Long Period Fiber Grantings
5.1 Introduction
5.2 Transfer-Matrix Method
5.3 Results And Discussions
5.3.1 Pitch Detuning
5.3.2 Chirping
5.3.3 Π-Phase Shifts
5.3.4 Apodization
5.3.5 Examples Of Band-Pass Filters
5.3.6 Design Of Broadband 3 Db Couplers
5.4 Conclusion
References
6.1 Introduction
6.2 Fabrication Of Lpfgs
6.3 Transmission Characteristics Of Bent Lpfgs
6.4 Discussion And Conclusion
References…..
Source: City University of Hong Kong
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