Revolutionizing Optical Fibre Field Distribution with Linear Finite Element Method

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Notice

nThis is an unedited manuscript accepted for publication and provided as an Article in Press for early access at the author’s request. The article will undergo copyediting, typesetting, and galley proof review before final publication. Please be aware that errors may be identified during production that could affect the content. All legal disclaimers of the journal apply.n

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Year : 2025 [if 2224 equals=””]24/09/2025 at 5:08 PM[/if 2224] | [if 1553 equals=””] Volume : 15 [else] Volume : 15[/if 1553] | [if 424 equals=”Regular Issue”]Issue : [/if 424][if 424 equals=”Special Issue”]Special Issue[/if 424] [if 424 equals=”Conference”][/if 424] 03 | Page : 32 42

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    Ayesha Khalil Mulani, Kazi Kutubuddin Sayyad Liyakat,

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  1. Student, Professor & Head, Department of Electronics & Telecommunication Engineering, Brahmdevdada Mane Institute of Technology, Solapur, Department of Electronics & Telecommunication Engineering, Brahmdevdada Mane Institute of Technology, Solapur, Maharashtra, Maharashtra, India, India

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Abstract

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nThis study investigates the use of the linear Finite Element Method (FEM) for the analysis of the field distribution in optical fibres. Understanding the distribution of electric and magnetic fields is necessary to characterise fibre properties including mode profiles, propagation constants, and dispersion, all of which are essential for optimising fibre performance in a range of applications like sensing and telecommunications. This study emphasises on applying a linear FEM formulation to efficiently solve the governing Helmholtz equation in order to precisely calculate the modal fields in optical fibres with different cross-sectional geometries and refractive index profiles. The accuracy and computational efficiency of the technique are evaluated, showing promise for complex fibre design analysis and simulation. This technique provides useful information on how light travels via optical fibres, which improves fibre performance and design. The scalar wave equation can be developed using an analytical simplification of Maxwell’s equations. For modes such as LP 01, LP 21, and LP 31, various field and contour distributions can be achieved by varying the core radius. The modal characteristics of an optical cable can be examined using the finite element method (FEM). After FEM analysis, Maxwell’s equation yields the traditional eigenvalue equation. The finite element method (FEM) can be used to approximate the scalar wave equation. A higher degree of precision can be achieved by increasing the number of elements and switching from the linear to the quadratic finite element technique. Any waveguide problem can be properly and comprehensively analysed using the finite element technique (FEM).nn

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Keywords: Field distribution, optical fibre, finite element method, eigen value, eigen vector

n[if 424 equals=”Regular Issue”][This article belongs to Trends in Opto-electro & Optical Communication ]

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[/if 424][if 424 equals=”Special Issue”][This article belongs to Special Issue under section in Trends in Opto-electro & Optical Communication (toeoc)][/if 424][if 424 equals=”Conference”]This article belongs to Conference [/if 424]

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How to cite this article:
nAyesha Khalil Mulani, Kazi Kutubuddin Sayyad Liyakat. [if 2584 equals=”][226 wpautop=0 striphtml=1][else]Revolutionizing Optical Fibre Field Distribution with Linear Finite Element Method[/if 2584]. Trends in Opto-electro & Optical Communication. 10/09/2025; 15(03):32-42.

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nAyesha Khalil Mulani, Kazi Kutubuddin Sayyad Liyakat. [if 2584 equals=”][226 striphtml=1][else]Revolutionizing Optical Fibre Field Distribution with Linear Finite Element Method[/if 2584]. Trends in Opto-electro & Optical Communication. 10/09/2025; 15(03):32-42. Available from: https://journals.stmjournals.com/toeoc/article=10/09/2025/view=0

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[if 424 not_equal=””]Regular Issue[else]Published[/if 424] Subscription Review Article

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Volume 15
[if 424 equals=”Regular Issue”]Issue[/if 424][if 424 equals=”Special Issue”]Special Issue[/if 424] [if 424 equals=”Conference”][/if 424] 03
Received 05/08/2025
Accepted 17/08/2025
Published 10/09/2025
Retracted
Publication Time 36 Days

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