A Novel and Simple Formalism for Study of Effect of Kerr Nonlinearity on Petermann I and II Spot Sizes of Single-Mode-Graded Index Fiber
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Jayanta Aich
Abstract
We present investigation of Petermann I and II spot sizes in the presence of Kerr nonlinearity. Our study is based on the simple power series formulation for fundamental modal field of single-mode-graded index fiber developed by Chebyshev formalism. Based on the said power series expression in the absence of nonlinearity, analytical expressions of the said spot sizes can be prescribed. Using the analytical expressions of the said spot sizes in the absence of nonlinearity, we apply iterative technique in order to predict the said propagation characteristics in presence of Kerr nonlinearity. In this context, we choose some typical single-mode step and parabolic index fibers. We show that the our results agree excellently with the exact results which can be obtained by using rigorous finite-element technique. This leads to verification of accuracy of our simple technique. Moreover, evaluation of the concerned parameters by our formalism involves little computation. Thus, our method provides an accurate but simple alternative to the existing rigorous methods in this context. Accordingly, this novel and simple formalism will prove user friendly to the system engineers in the field non linear optics.
Acknowledgements
The authors are grateful to the anonymous reviewers for constructive suggestions
References
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Amplifiers
- A Multistage High Performance Amplification Approach for Improving WDM Communication System
- Devices
- Design and performance analysis of all optical 4-bit parity generator and checker using dual-control dual SOA terahertz optical asymmetric demultiplexer (DCDS-TOAD)
- Micro-Ring Resonator-Based Sensors for Detection of Different Chemicals
- Quaternary Bit-Swap Logic with QPSK Signal Using Four Wave Mixing
- Fibers
- Comparative crosstalk performance analysis of different configurations of heterogeneous multicore fiber
- A Novel and Simple Formalism for Study of Effect of Kerr Nonlinearity on Petermann I and II Spot Sizes of Single-Mode-Graded Index Fiber
- Networks
- A controlled deflection routing and wavelength assignment based scheme in Optical Burst Switched (OBS) networks
- Experiment Study of Downstream Traffic Balancing Strategy on 40G Long Reach Coherent PON
- Reduction of Blocking Probability in Generalized Multi-Protocol Label Switched Optical Networks
- Performance Evaluation of Bidirectional Wavelength Division Multiple Access Broadband Optical Passive Elastic Networks Operation Efficiency
- Systems
- Evaluation of Atmospheric Detrimental Effects on Free Space Optical Communication System for Delhi Weather
- Design and Performance Investigations with Ultra High Speed Optical ALU
- Enhancement of Signals Characteristics with Least Effect of Optical Communication Losses for Dense Optical Communication Systems
- Performance comparison of code division multiple access and orthogonal frequency division multiplexing over turbulent effected free space optics link under the impact of advance coding formats
- Wavelength division multiplexing techniques based on multi transceiver in low earth orbit intersatellite systems
- Selection of suitable wavelengths for the dual-wavelength model of free space optics (FSO) systems for high-speed trains
- Effects of Laser Linewidth on the Performance of DP-QPSK DWDM System
Articles in the same Issue
- Frontmatter
- Amplifiers
- A Multistage High Performance Amplification Approach for Improving WDM Communication System
- Devices
- Design and performance analysis of all optical 4-bit parity generator and checker using dual-control dual SOA terahertz optical asymmetric demultiplexer (DCDS-TOAD)
- Micro-Ring Resonator-Based Sensors for Detection of Different Chemicals
- Quaternary Bit-Swap Logic with QPSK Signal Using Four Wave Mixing
- Fibers
- Comparative crosstalk performance analysis of different configurations of heterogeneous multicore fiber
- A Novel and Simple Formalism for Study of Effect of Kerr Nonlinearity on Petermann I and II Spot Sizes of Single-Mode-Graded Index Fiber
- Networks
- A controlled deflection routing and wavelength assignment based scheme in Optical Burst Switched (OBS) networks
- Experiment Study of Downstream Traffic Balancing Strategy on 40G Long Reach Coherent PON
- Reduction of Blocking Probability in Generalized Multi-Protocol Label Switched Optical Networks
- Performance Evaluation of Bidirectional Wavelength Division Multiple Access Broadband Optical Passive Elastic Networks Operation Efficiency
- Systems
- Evaluation of Atmospheric Detrimental Effects on Free Space Optical Communication System for Delhi Weather
- Design and Performance Investigations with Ultra High Speed Optical ALU
- Enhancement of Signals Characteristics with Least Effect of Optical Communication Losses for Dense Optical Communication Systems
- Performance comparison of code division multiple access and orthogonal frequency division multiplexing over turbulent effected free space optics link under the impact of advance coding formats
- Wavelength division multiplexing techniques based on multi transceiver in low earth orbit intersatellite systems
- Selection of suitable wavelengths for the dual-wavelength model of free space optics (FSO) systems for high-speed trains
- Effects of Laser Linewidth on the Performance of DP-QPSK DWDM System
