First Sentence:
The propagation of a light beam through a nonlinear medium is the simplest scenario that one could imagine for light-matter interaction, but it is accompanied by a series of dramatic and fascinating changes in the spatio-temporal structure of the beam.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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photorefractive solitons, pump soliton, sideband angle, photorefractive screening solitons, lower solution branch, photorefractive system, transverse modulation instability, photorefractive nonlinearity, vector soliton, photorefractive oscillator, saturable media, dipole lobes, spatial solitons, photorefractive medium, circling vortices, complex interaction scenarios, hexagonal solution, optical vortices, soliton beam, resonator field, piezoelectric translation stage, transverse wave number, space charge field, saturable nonlinearity, doughnut mode
Key Phrases - Capitalized Phrases (CAPs):
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Laguerre Gaussian, Ginzburg Landau, Quantum Electron, Hermite Gaussian, Chaos Solitons Fractals, Institute of Applied Physics, New York, Mark Saffman, Quantum Semiclass, Angewandte Physik, Bose Einstein
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