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Influence of Kerr nonlinearity on single-mode dispersion-shifted and dispersion-flattened directional couplers: analysis by a simple but accurate method

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Abstract

In this paper, we present the coupling characteristics of single-mode dispersion-shifted and dispersion-flattened fibers directional couplers both in presence as well as in absence of Kerr nonlinearity. In this regard, we apply the simple power series expression for the fundamental mode for each kind of fiber as developed by Chebyshev formalism. In order to obtain the coupling parameters in the nonlinear region, method of iteration is used to obtain the convergent values of cladding decay parameter and the normalised power series coefficients in nonlinear region. The concerned evaluation involves little computation but our results match excellently with the exact results obtainable by rigorous methods. Thus, our method can be considered as a simple alternative to the existing complex methods found in literature. So, this simple method will prove user friendly to the technologists working with such devices in the field of Kerr-type nonlinear photonics.

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It is a theoretical research based on prescription of analytical formulations. Necessary evaluation has been made by using MATLAB.

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Acknowledgements

We are grateful to the honourable reviewers for the constructive suggestions.

Funding

The research work has not been funded from anywhere.

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Authors and Affiliations

  1. Department of Electronics and Communication Engineering, Dr. B. C. Roy Engineering College, Durgapur, West Bengal, India

    Ramkrishna Rakshit

  2. Department of Electronics and Communication Engineering, Brainware University, Barasat, Kolkata, 700125, West Bengal, India

    Ramkrishna Rakshit, Angshuman Majumdar & Sankar Gangopadhyay

  3. Department of Physics, Murshidabad College of Engineering & Technology, Murshidabad, 742102, West Bengal, India

    Shubhendu Maiti

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  1. Ramkrishna Rakshit
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  2. Angshuman Majumdar
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  3. Shubhendu Maiti
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  4. Sankar Gangopadhyay
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Correspondence to Sankar Gangopadhyay.

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Rakshit, R., Majumdar, A., Maiti, S. et al. Influence of Kerr nonlinearity on single-mode dispersion-shifted and dispersion-flattened directional couplers: analysis by a simple but accurate method. Opt Quant Electron 54, 118 (2022). https://doi.org/10.1007/s11082-021-03492-9

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