Rigorous Eigenmode Derivations and Spectral Analysis for Step-Index Confocal Parabolic Optical Fibers
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Emeka V. Ikpeazu
Abstract
For quite some time, the geometry-dependence of electric fields confined in two-dimensional systems of propagation has been known. We explore a lesser known way in which one can confine light, parabolically. One can use this method to understand the different forms modes take in such fibers and the appropriate eigenfunction for spectral analysis. In this paper, a fiber with a parabolic core and a circular cladding for the preservation of coaxiality are proposed.
Funding statement: This article was supported by Division of Electrical, Communications and Cyber Systems, Funder Id: http://dx.doi.org/10.13039/100000148, Grant Number: GA11075.
Acknowledgements
We would like to thank University of Virginia Professor of Mathematics Zoran Grujić for his help in supervising and editing this manuscript through the drafts and subsequent revisions and overseeing meticulous derivation of the equations. His specialization in partial differential equations applied in curvilinear coordinates was especially helpful for this paper.
References
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Amplifiers
- Performance Analysis of Distributed Raman Amplifier Using Different Pumping Methods in DWDM Communication Systems
- Influence of Conventional Optical Amplifiers for 64×10 Gbps WDM System
- Devices
- Cross-Layer Optimization and Cascadability of Optical Switches in Fiber Optic Data Networks
- Arrayed Waveguide Grating and Re-Circulating Buffer Based Optical Packet Switch
- A Joint Multicast Optimization Approach for QoS Provisioning in Optical Label Switching (OLS) Networks
- Fibers
- Rigorous Eigenmode Derivations and Spectral Analysis for Step-Index Confocal Parabolic Optical Fibers
- Design and Characterization of an Ultra Low Loss, Dispersion-Flattened Slotted Photonic Crystal Fiber for Terahertz Application
- Analysis of Microstructured Photonic Crystal Fiber with Dual Core Suspension for the Enhanced Supercontinuum Generation
- Measurements
- Analysis of Optical Backbone Fiber and Trace Report of Break Fiber by Using Optical Time Domain Reflectometer
- Networks
- An Improved Hybrid WDM/TDM PON Model with Enhanced Performance Using Different Modulation Formats of WDM Transmitter
- Receiver
- Efficient Blind Adaptive CSE to Reduce Cyclic Prefix Length in Direct Detection Optical OFDM Systems
- Systems
- Novel Manchester-Based Multilevel Signaling for High-Speed Optical Communication Systems
- Analysis of Four Wave Mixing Effects in 16 ×10 Gb/S WDM Optical Communication System
- Design and Simulation of 1.28 Tbps Dense Wavelength Division Multiplex System Suitable for Long Haul Backbone
- Millimetre Waves Over Free Space Optics System for 5G Application
- 40 Gbps Laguerre-Gaussian and Hermite-Gaussian Optical Mode Division Multiplexing for Radio over Fiber System
- Theory
- A Study of Different Forms of Dual Polarization – Quadrature Amplitude Modulation and its Performance Analysis in Terms of Q-Factor and Distance
Artikel in diesem Heft
- Frontmatter
- Amplifiers
- Performance Analysis of Distributed Raman Amplifier Using Different Pumping Methods in DWDM Communication Systems
- Influence of Conventional Optical Amplifiers for 64×10 Gbps WDM System
- Devices
- Cross-Layer Optimization and Cascadability of Optical Switches in Fiber Optic Data Networks
- Arrayed Waveguide Grating and Re-Circulating Buffer Based Optical Packet Switch
- A Joint Multicast Optimization Approach for QoS Provisioning in Optical Label Switching (OLS) Networks
- Fibers
- Rigorous Eigenmode Derivations and Spectral Analysis for Step-Index Confocal Parabolic Optical Fibers
- Design and Characterization of an Ultra Low Loss, Dispersion-Flattened Slotted Photonic Crystal Fiber for Terahertz Application
- Analysis of Microstructured Photonic Crystal Fiber with Dual Core Suspension for the Enhanced Supercontinuum Generation
- Measurements
- Analysis of Optical Backbone Fiber and Trace Report of Break Fiber by Using Optical Time Domain Reflectometer
- Networks
- An Improved Hybrid WDM/TDM PON Model with Enhanced Performance Using Different Modulation Formats of WDM Transmitter
- Receiver
- Efficient Blind Adaptive CSE to Reduce Cyclic Prefix Length in Direct Detection Optical OFDM Systems
- Systems
- Novel Manchester-Based Multilevel Signaling for High-Speed Optical Communication Systems
- Analysis of Four Wave Mixing Effects in 16 ×10 Gb/S WDM Optical Communication System
- Design and Simulation of 1.28 Tbps Dense Wavelength Division Multiplex System Suitable for Long Haul Backbone
- Millimetre Waves Over Free Space Optics System for 5G Application
- 40 Gbps Laguerre-Gaussian and Hermite-Gaussian Optical Mode Division Multiplexing for Radio over Fiber System
- Theory
- A Study of Different Forms of Dual Polarization – Quadrature Amplitude Modulation and its Performance Analysis in Terms of Q-Factor and Distance
