Boundary-value problems in nonlinear optics of resonant media

Nonlinear optical effects in artificial materials

“…In the case of a nonmagnetic film, using (18), we obtain the well known result [20,21] for a TE-wave E y (x = 0) = E y (0−) = E y (0−).…”

“…The expressions (18) and (19a) are modifications the corresponding boundary relations used in [20,21,22,23,24]. These new relations are applicable both for the case of continuum waves and for ultra-short or extremely short pulses.…”

“…To describe the propagation of the electromagnetic wave through thin film it is sufficient to take account of the jump in the electric and magnetic field components induced by polarization and magnetization of the film. Following to [20,21] we can approximate transverse distribution of polarization and magnetization in the film by a delta-function located at x = 0. This approximation leads to the following jump conditions…”

Optical solitons in periodic media with resonant and off-resonant nonlinearities

“…The interaction of light with a thin film of a nonlinear resonant medium located at the interface between two linear media has been described by Rupasov and Yudson [1982] and Rupasov and Yudson [1987], who have shown that a nonlinear thin film of TLS can be a nearly ideal mirror for weak pulses, but transparent for pulses of sufficient intensity. The problem of light pulse transmission through the nonlinear medium boundary has been studied under conditions of coherent interaction with the matter.…”

Coherent responses of the resonance atom layer to short optical pulse excitation

“…A film with a thickness of the order of a wavelength placed on an interface of two dielectric media represents a simple example of 2D system, which optical properties has been intensively studied [1][2][3][4][5][6] . A thin film physics is attributed by an account of dipole-dipole interaction 7,8 in microscopic field acting on resonance atoms.…”