Nonlinear localized modes in waveguide bends

DOI10.1016/S0375-9601(02)01768-1zbMath1008.78007OpenAlexW1980445030MaRDI QIDQ1856105

Shozo Takeno, Yuri S. Kivshar, Panayotis G. Kevrekidis

Publication date: 28 January 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(02)01768-1

zbMATH Keywords

discrete nonlinear Schrödinger equationnonlinear-bend-mode stabilityphotonic crystal waveguides

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (8)

Modulational instability and localized breather modes in the discrete nonlinear Schrödinger equation with helicoidal hopping ⋮ Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem ⋮ Analytic doubly periodic wave patterns for the integrable discrete nonlinear Schrödinger (Ablowitz-Ladik) model ⋮ Trapping in quantum chains ⋮ Nonlinear modes in helical lattices: localized modes and kinks ⋮ Visualization of the simulation results for multi-dimensional interaction of laser radiation with a photonic crystal ⋮ Special issue: Nonlinear waves: Computation and theory III. Papers presented at the 3rd IMACS international conference on nonlinear evolution equations and wave phenomena: computation and theory, Athens, GA, USA, April 7--10, 2003 ⋮ DNLS with Impurities

Cites Work

• Dynamical properties of discrete breathers in curved chains with first and second neighbor interactions
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators

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