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<p>We present a numerical study of a PT-symmetric nonlinear directional coupler designed for femtosecond soliton-based optical switching and logic operations. The system is modeled using a coupled nonlinear Schrödinger equation that incorporates dispersion, Kerr nonlinearity, linear coupling, and balanced gain and loss. Our simulations reveal transistor-like behavior, where a control pulse triggers threshold-based switching of output energy between the waveguides. The system’s transfer function fits a sigmoid curve, clearly marking the switching threshold at approximately <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11082_2025_8427_Article_IEq1.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="109" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:\hspace{0.17em}{P}_{c}^{\text{th}}\approx\:0.890\hspace{0.17em}\text{W}\)</EquationSource> </InlineEquation>. Building on composite logic principles, we demonstrate robust, all-optical XOR gate functionality, with simulated truth tables matching theoretical expectations. Additionally, parameter maps plotted in the control power–gain plane identify ON/OFF regions, threshold boundaries, and zones of high sensitivity. These results suggest that PT-symmetric soliton transistors could serve as fundamental components in ultrafast photonic neuromorphic systems and next-generation all-optical logic devices.</p>

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All-optical logic gates via PT-symmetric soliton dynamics in nonlinear directional couplers

  • 期刊论文

  • 发表日期：

    2025年8月30日

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  • S. M. Al-Marzoug

摘要

We present a numerical study of a PT-symmetric nonlinear directional coupler designed for femtosecond soliton-based optical switching and logic operations. The system is modeled using a coupled nonlinear Schrödinger equation that incorporates dispersion, Kerr nonlinearity, linear coupling, and balanced gain and loss. Our simulations reveal transistor-like behavior, where a control pulse triggers threshold-based switching of output energy between the waveguides. The system’s transfer function fits a sigmoid curve, clearly marking the switching threshold at approximately \(\:\hspace{0.17em}{P}_{c}^{\text{th}}\approx\:0.890\hspace{0.17em}\text{W}\) . Building on composite logic principles, we demonstrate robust, all-optical XOR gate functionality, with simulated truth tables matching theoretical expectations. Additionally, parameter maps plotted in the control power–gain plane identify ON/OFF regions, threshold boundaries, and zones of high sensitivity. These results suggest that PT-symmetric soliton transistors could serve as fundamental components in ultrafast photonic neuromorphic systems and next-generation all-optical logic devices.