Theoretical studies of modulation instability, Fermi–Pasta–Ulam recurrence and pattern formation in an ultra-silicon-rich-nitride Bragg grating
Amdad Chowdury, Benjamin J. Eggleton, Dawn T.H. Tan

TL;DR
This paper explores how ultra-silicon-rich-nitride Bragg gratings can manipulate light through nonlinear effects like modulational instability and pattern formation.
Contribution
The study introduces a novel theoretical framework for analyzing nonlinear optical phenomena in ultra-silicon-rich-nitride Bragg gratings.
Findings
Modulational instability can be triggered in gratings as short as 1–2 mm, forming Akhmediev breathers.
The platform can generate a comb-like discrete spectrum through parametric amplification despite high loss.
Pump wavelengths are identified that generate new frequencies for potential applications in frequency combs and data transmission.
Abstract
Ultra-silicon-rich nitride Bragg gratings provide a powerful platform for precise light manipulation in photonic chips. Their exceptionally high nonlinearity and strong grating-induced dispersion near the stop-band edges significantly reduce the power and length required for chip-scale light–matter interactions. Using computational methods, we theoretically investigate modulational instability, Fermi–Pasta–Ulam recurrence, and pattern formation in this platform within the framework of the Akhmediev breather. We assess their experimental feasibility and show that this platform can generate a high-quality pulse train at the output. We demonstrate that modulational instability can be triggered in the gratings as short as 1–2 mm, leading to Akhmediev breather formation. By analyzing the full dispersion profile, we identify pump wavelengths that generate new frequencies and show that the…
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Taxonomy
TopicsAdvanced Fiber Laser Technologies · Nonlinear Photonic Systems · Photonic and Optical Devices
