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Discrete self-focusing in nonlinear arrays of coupled waveguides

Optics Letters · 1988 · Vol. 13(9) · pp. 794–794
Demetrios N. ChristodoulidesR. I. Joseph

Abstract

We show that a nonlinear array of coupled waveguides can exhibit discrete self-focusing that in the continuum approximation obeys the so-called nonlinear Schrödinger equation. This process has much in common with the biophysical model of Davydov.

Nonlinear Photonic SystemsAdvanced Fiber Laser TechnologiesNonlinear Waves and SolitonsNonlinear systemPhysicsOpticsNonlinear opticsSelf-focusingNonlinear Schrödinger equationSelf-phase modulationQuantum mechanicsLaser beamsLaser
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References
The nonlinear coherent coupler
IEEE Journal of Quantum Electronics · 1982 · 958 citations
Nonlinear differential–difference equations and Fourier analysis
Journal of Mathematical Physics · 1976 · 966 citations
The theory of contraction of proteins under their excitation
Journal of Theoretical Biology · 1973 · 582 citations
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