Abstract
A simplified yet accurate method based on Chebyshev formalism is employed for the estimation of dimensionless vector and scalar propagation constants of first higher order mode of graded index kind fiber. The method involves application of series expression of first higher order modal field of graded index fiber for the relevant analysis, considering the absence as well as the presence of the Kerr type nonlinearity effect. In this context, we restrict our investigation on a typical parabolic index fiber as an example of graded index fiber. Our mathematical formalism includes considerably less calculations and still our outcomes match excellently with exact results obtainable by the variational method incorporating Gaussian-exponential-Hankel function in the linear case and rigorous finite element computation technique for the Kerr type nonlinear case. The said conventional methods of exact analysis require lengthy and cumbersome computations involving longer time. Thus, our simple but accurate formalism definitely generates adequate scope for its successful application in the analysis of dual mode fibers considering the extensive domain of contemporary nonlinear optics and devices.
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Mukherjee, T., Majumdar, A., Gangopadhyay, S. (2022). Accurate Estimation of Dimensionless Vector and Scalar Propagation Constants for First Higher Order Mode of Kerr Type Nonlinear Graded Index Fiber by Simple Mathematical Formalism. In: Sikdar, B., Prasad Maity, S., Samanta, J., Roy, A. (eds) Proceedings of the 3rd International Conference on Communication, Devices and Computing. ICCDC 2021. Lecture Notes in Electrical Engineering, vol 851. Springer, Singapore. https://doi.org/10.1007/978-981-16-9154-6_19
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