Presentation Information

[19p-C43-12]Closed-form solutions in Lugiato-Lefever Equation for Frequency Comb Applications

〇(D)Sanjana Bhatia1, C.N. Kumar1 (1.Panjab University, Chandigarh, India)
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Keywords:

Kerr Combs,Solitons,nonlinear optics

In this study, we explore solitary wave solutions of the ac-driven nonlinear Schrodinger equation also known as Lugiato-Lefever Equation supported by localized gain-loss. By modifying the master equation to incorporate distributive loss, we derive exact analytical solutions for both localized and wave-train patterns, considering cases with trivial and non-trivial chirping. Our findings enhance the theoretical framework for dissipative solitons, revealing significant potential for real-world applications in high-capacity telecommunications and optical frequency combs. This work contributes to the precise control and design of nonlinear optical systems, advancing the understanding of Kerr-frequency comb dynamics.

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