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Pump and probe nonlinear processes: new modified sum rules from a simple oscillator model



PACS. 42.65.An Optical susceptibility, hyperpolarizability, 42.65.Dr Stimulated Raman scattering; CARS, 42.65.Sf Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics, 78.20.Bh Theory, models, and numerical simulation, 78.20.Ci Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity),

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