A method of integro-differential equation associated with the optical loch equations is proposed to consider the problem of nonlinear transient reflection (refraction) of two laser noncomplanar pulses. It is a 3D boundary-value problem of a semiclassical nonlinear resonant transient optics for the phase memory effects exhibited by surface atoms in response to pulses of fields resolved in space and time. A generalized Lorentz-Lorenz formula and a theorem of extinction of nonlinear transient optics are used to investigate generalized reflection and refraction laws.
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