article · Journal of Applied Mathematics and Physics
This research investigates how coupled light pulses behave during nonlinear propagation through birefringent optical fibers. Using an analytical method based on the iB-function, the governing nonlinear partial differential equations were decoupled to identify prototype wave solutions that can travel through the fiber medium. These analytical solutions were subsequently evaluated and validated using a dedicated MATLAB programme to examine wave dynamics and profile curves. The analysis demonstrated several complex propagation phenomena, including the stable transmission of coupled dark-bright vector solitons, energy exchange occurring between wave components, severe pulse broadening, and the specific conditions that cause group velocity walk-off. Together, these theoretical and numerical insights clarify fundamental mechanisms of light transmission to assist the performance of advanced optical networks and specialized fiber equipment.
Understanding how light pulses interact and change shape inside optical fibers is essential for improving data transmission. By pinpointing the conditions that cause pulse deformation, walk-off, or stable soliton propagation, this work aids the development of more reliable and higher-capacity optical communication systems and fiber-based optical devices.
The work represents early-stage theoretical and computational research that could inform the design of advanced optical communication systems and fiber-based devices. Potential end users include optical network engineers and fiber laser developers seeking to manage pulse broadening and walk-off effects. However, as the abstract is limited to analytical modeling and simulation, experimental validation is still required before direct commercial deployment.
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The purpose of this work is to study the nonlinear propagation of coupled pulses within birefringent optical fibers. To achieve this, an effective analytical technique using iB-function was applied. With this approach, we decoupled the nonlinear partial differential equations governing the wave propagation and solved them to obtain prototype solutions likely to propagate in the medium. A Mathlab program was then developed to validate the behavior of the propagated waves and analyze the resulting curves. The results revealed distinct complex phenomena such as stable propagation of coupled dark-bright vector soliton, energy exchange between the components during propagation to severe pulse broadening and conditions leading to group velocity walk-off. These findings provided a deeper insight into light propagation, improving its application for advanced optical communication systems and fiber-based devices.
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DOI: 10.4236/jamp.2025.1310194
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