Hamiltonian Mathematical Modeling of Nonlinear Photonic Dynamics for Advanced Optical Communication Systems

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Year : 2026 | Volume : 16 | 03 | Page :
By

Bibhu Prasad Ganthia,

Rosalin Pradhan,

  1. Assistant Professor, Department of Electrical Engineering, Indira Gandhi Institute of Technology, Sarang, Dhenkanal, Odisha, India
  2. Assistant Professor, Professor, Department of Electrical Engineering, Indira Gandhi Institute of Technology, Sarang, Dhenkanal, Odisha, India

Abstract

With the rising requirement for high capacity, low latency and energy-efficient optical communication, the need for strict mathematical models of the nonlinear dynamics of photonic systems has grown. In this study, a mathematical framework based on the Hamiltonian formalism is developed for the characterization of the nonlinear dynamics in advanced optical communication systems. The proposed formulation is the result of a natural evolution of optical amplitude, phase, dispersion, nonlinear interaction and energy exchange expressed in coupled Hamiltonian state equations. A Hamiltonian functional is derived for a generalized description of the conservative and nonlinear parts of the propagation of photons, and perturbation terms are added to describe the effect of attenuation, noise, and external disturbances. The resulting model allows the analytical study of system stability, conservation of quantities, nonlinear energy transfer, phase evolution and propagation dynamics. A second method is the use of Hamiltonian phase space analysis to determine stable and unstable operating regions and to measure the impact of the nonlinear coefficients, dispersion parameters and channel perturbations on the communication performance. Mathematical simulation using numbers is performed to show the ability of the proposed mathematical structure to predict nonlinear distortion and to show a physically interpretable representation of the evolution of the optical signals, with the prediction of nonlinear distortion and dynamical transitions. The model provides a non-linear framework for studying nonlinear photonic systems and could be used to support theoretical design and optimization of advanced optical communication links.

Keywords: Hamiltonian Dynamics; Nonlinear Photonics; Mathematical Modeling; Optical Communication; Phase-Space Analysis

How to cite this article: Bibhu Prasad Ganthia, Rosalin Pradhan. Hamiltonian Mathematical Modeling of Nonlinear Photonic Dynamics for Advanced Optical Communication Systems. Trends in Opto-electro & Optical Communication. 2026; 16(03):-.
How to cite this URL: Bibhu Prasad Ganthia, Rosalin Pradhan. Hamiltonian Mathematical Modeling of Nonlinear Photonic Dynamics for Advanced Optical Communication Systems. Trends in Opto-electro & Optical Communication. 2026; 16(03):-. Available from: https://journals.stmjournals.com/toeoc/article=2026/view=261419

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Ahead of Print Subscription Review Article
Volume 16
03
Received 08/10/2026
Accepted 19/10/2026
Published 24/10/2026
Publication Time 16 Days

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