Theoretical studies of modulation instability, Fermi–Pasta–Ulam recurrence and pattern formation in an ultra-silicon-rich-nitride Bragg grating

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...

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Main Authors: Chowdury Amdad, Eggleton Benjamin J., Tan Dawn T.H.
Format: Article
Language:English
Published: De Gruyter 2025-05-01
Series:Nanophotonics
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Online Access:https://doi.org/10.1515/nanoph-2025-0073
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author Chowdury Amdad
Eggleton Benjamin J.
Tan Dawn T.H.
author_facet Chowdury Amdad
Eggleton Benjamin J.
Tan Dawn T.H.
author_sort Chowdury Amdad
collection DOAJ
description 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 grating also can produce a comb-like discrete spectrum. Furthermore, we reveal that even with high loss, parametric amplification at the grating output is possible, highlighting its potential as a nonlinear platform for frequency comb generation, wavelength-multiplexed data transmission, and high-precision pulse processing.
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series Nanophotonics
spelling doaj-art-5c28d4d105824adca3688c6ee7439fb22025-08-20T03:24:51ZengDe GruyterNanophotonics2192-86142025-05-0114132267229410.1515/nanoph-2025-0073Theoretical studies of modulation instability, Fermi–Pasta–Ulam recurrence and pattern formation in an ultra-silicon-rich-nitride Bragg gratingChowdury Amdad0Eggleton Benjamin J.1Tan Dawn T.H.2233793Photonics Devices and Systems Group, Singapore University of Technology and Design, 8 Somapah Rd., Singapore487372, SingaporeSchool of Physics, Institute of Photonics and Optical Science, The University of Sydney, Sydney, NSW2006, Australia233793Photonics Devices and Systems Group, Singapore University of Technology and Design, 8 Somapah Rd., Singapore487372, SingaporeUltra-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 grating also can produce a comb-like discrete spectrum. Furthermore, we reveal that even with high loss, parametric amplification at the grating output is possible, highlighting its potential as a nonlinear platform for frequency comb generation, wavelength-multiplexed data transmission, and high-precision pulse processing.https://doi.org/10.1515/nanoph-2025-0073on-chip bragg gratingsnonlinear opticsmodulation instabilitysolitonsintegrated photonics
spellingShingle Chowdury Amdad
Eggleton Benjamin J.
Tan Dawn T.H.
Theoretical studies of modulation instability, Fermi–Pasta–Ulam recurrence and pattern formation in an ultra-silicon-rich-nitride Bragg grating
Nanophotonics
on-chip bragg gratings
nonlinear optics
modulation instability
solitons
integrated photonics
title Theoretical studies of modulation instability, Fermi–Pasta–Ulam recurrence and pattern formation in an ultra-silicon-rich-nitride Bragg grating
title_full Theoretical studies of modulation instability, Fermi–Pasta–Ulam recurrence and pattern formation in an ultra-silicon-rich-nitride Bragg grating
title_fullStr Theoretical studies of modulation instability, Fermi–Pasta–Ulam recurrence and pattern formation in an ultra-silicon-rich-nitride Bragg grating
title_full_unstemmed Theoretical studies of modulation instability, Fermi–Pasta–Ulam recurrence and pattern formation in an ultra-silicon-rich-nitride Bragg grating
title_short Theoretical studies of modulation instability, Fermi–Pasta–Ulam recurrence and pattern formation in an ultra-silicon-rich-nitride Bragg grating
title_sort theoretical studies of modulation instability fermi pasta ulam recurrence and pattern formation in an ultra silicon rich nitride bragg grating
topic on-chip bragg gratings
nonlinear optics
modulation instability
solitons
integrated photonics
url https://doi.org/10.1515/nanoph-2025-0073
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AT eggletonbenjaminj theoreticalstudiesofmodulationinstabilityfermipastaulamrecurrenceandpatternformationinanultrasiliconrichnitridebragggrating
AT tandawnth theoreticalstudiesofmodulationinstabilityfermipastaulamrecurrenceandpatternformationinanultrasiliconrichnitridebragggrating