On some direct and inverse problems concerning guided modes in optical fibers

doi:10.15406/paij.2023.07.00309

eISSN: 2576-4543

Physics & Astronomy International Journal

Short Communication Volume 7 Issue 3

On some direct and inverse problems concerning guided modes in optical fibers

Hayat Rezgui

Verify Captcha

Regret for the inconvenience: we are taking measures to prevent fraudulent form submissions by extractors and page crawlers. Please type the correct Captcha word to see email ID.

EDPNL Laboratory, Department of Mathematics, Ecole Normale Supérieure de Kouba, Algeria

Correspondence: Hayat Rezgui, EDPNL Laboratory, Department of Mathematics, Ecole Normale Supérieure de Kouba, Algiers, Algeria

Received: September 15, 2023 | Published: September 21, 2023

Citation: Rezgui H. On some direct and inverse problems concerning guided modes in optical fibers. Phys Astron Int J. 2023;7(3):192‒193. DOI: 10.15406/paij.2023.07.00309

Download PDF

Abstract

This paper consists of summarizing the various scientific works of the esteemed team composed of Prof. Abdelaziz Choutri, Dr. Abdelwahab Boureghda and Dr. Hayat Rezgui (from Ecole Normale Supérieure de Kouba, Algiers, Algeria), during a decade of a condensed and continuous work. These various works were subjects of scientific articles published in prestigious journals, or were presented in oral communications/symposia in several international or North African conferences. All these works were carried out at the Laboratory of nonlinear partial differential equations (EDPNL Laboratory) and Department of Mathematics in Ecole Normale Supérieure de Kouba, Algiers, Algeria. This team has done great job which has earned the recognition of many experts in the different fields in which this team specializes.

Keywords: Optical fibers, waveguides, inverse problems, directional couplers, guided modes, refractive index, error Truncation

Introduction

In the last ten years, the team whose members are the three estimated authors: Professor Abdelaziz Choutri, Dr. Abdelwahab Boureghda and Dr. Hayat Rezgui have been able to enrich the existing literature with many very important scientific works (articles, conference papers, presentations, videos, ...) in the fields of optical fibers, waveguides, inverse problems, direct problems, ... etc. We cite, as examples, the manuscripts^1-10in which many current issues have been addressed and resolved with graphic and numerical illustrations, the conference papers^11-13 and the video presentations.^14,15

It should be noted that the reference⁷ has been read 5300 times on the site: https://www.researchgate.net/, which surpasses the readability of 99% of the articles published on the same site since the year 2022.

The most famous papers of this team were published in prestigious journals, as: Optical and Quantum Electronics, Mediterranean Journal of Mathematics, Palestine Journal of Mathematics, Physics & Astronomy International Journal, Global Journal of Science Frontier Research and others... The three authors also contributed in the same fields indicated above by works in Arabic language⁸and in other fields as: Number theory, computer science, numerical analysis, nonlinear subdivision schemes, image processing.

It should also be noted that Dr. Hayat Rezgui has published books and e-books that have been translated into several languages.

Acknowledgments

None.

Conflicts of interest

The author declares there is no conflict of interest.

References

H Rezgui, A Choutri. An inverse eigenvalue problem. Application: Graded-index optical fibers. Opt Quantum Electron.2017;49(10):321:1–34
H Rezgui, A Choutri. A Numerical Solution Technique for Solving an Inverse Eigenvalue Problem of Computing Guided Modes in a Class of Optical Fibers. Palest J Math. 2018;7(1):167–190.
H Rezgui. An iterative method in solving an inverse Eigen value problem for an application of multimode optical fibers. Int J Appl Sci Res Rev. 2018;5:36.
A Choutri, A Boureghda. An asymptotic expansion approach for variable refractive index optical fibers (in weak guidance case). Opt Quantum Electron. 2018; 50(74):1–21.
H. Rezgui, Two equivalent inverse eigenvalue problems about graded-index optical fibers. Phys astron int j. 2018;2(2):118–119.
H Rezgui. Mathematical and numerical studies of an inverse eigenvalue problem on computing guided modes in optical fibers. J lasers opt photonics. 2018;5:38.
H Rezgui. An overview of optical fibers. Glob j sci front res. 2021;21(6):14–20.
A Boureghda, A Choutri, H Rezgui. ‎
A Boureghda, A Choutri, H Rezgui. On domain error truncation in a problem of guided modes computation in optical fibers. Mediterr J Math. 2022; 19(79):1–22.
H Rezgui, A Boureghda, A Choutri. Guided modes computation in directional couplers and tri-core optical fibers, Submitted. 2023.
H Rezgui. A Regularized Numerical Solution of an Inverse Eigenvalue Problem of Computing Guided Modes in a Class of Optical Fibers,8ème Colloque sur les Tendances des Applications en Mathématiques, Tunisie, 2017.
H Rezgui. A Numerical Method to Solve an Inverse Eigenvalue Problem of Computing Guided Modes In a Class of Optical Fibers, 7ème Colloque sur les Tendances des Applications en Mathématiques, Maroc, 2015.
H Rezgui. An Inverse Eigenvalue Problem of Computing Guided Modes In a Graded-Index Optical Fiber with a Circular Section, 6ème Colloque sur les Tendances des Applications en Mathématiques, Algérie, 2013.
H Rezgui. An iterative method for solving an inverse eigenvalue problem. Application: Multimode optical fibers European Congress on Applied Science & Innovative Engineering Theme: Implications and Current concepts of Applied Science and Innovative Engineering: November 2018. Athens, Greece, Video presentation (as an invited speaker).
H Rezgui. Mathematical and Numerical Studies of an Inverse Eigenvalue Problem of Computing Guided Modes in Optical Fibers (An invited Conference): International conference on Vehicle Fiber-Optics and Photonics Conference, September 19-20, 2018. Philadelphia, USA, Video presentation (as an invited speaker).