"000316953400051" . "0031-8949" . "It is appropriate to base the quantum description of light propagation and down-conversion in a nonlinear medium on a Hamiltonian operator. In pumping with femtosecond pulses, which is not yet treated here, the description is so complicated that the discontinuities of the linear and nonlinear susceptibilities present a specific problem. In contrast, the analogy with a quantum nonlinear beam splitter can be utilized for the quantization of classical input-output relations. On numerical simulation, nonvanishing commutators between output field operators of different modes are revealed and a method of adaptation of these results to quantum input-output relations is also proposed."@en . "Quantization of radiation emitted at discontinuities of nonlinearity"@en . . "I, P(ED2.1.00/03.0058)" . . . "[4358D8954935]" . "Quantization of radiation emitted at discontinuities of nonlinearity"@en . "5"^^ . "Pe\u0159ina jr., Jan" . . . . "Pe\u0159inov\u00E1, V." . "Quantization of radiation emitted at discontinuities of nonlinearity" . . . . "101221" . "1" . . "parametric down-conversion; quantum optics; interference; propagation; light"@en . . . "1"^^ . . . . "Luk\u0161, A." . "10.1088/0031-8949/2013/T153/014050" . "SE - \u0160v\u00E9dsk\u00E9 kr\u00E1lovstv\u00ED" . . . "3"^^ . "Quantization of radiation emitted at discontinuities of nonlinearity" . . "RIV/68378271:_____/13:00399362" . "Physica Scripta" . "It is appropriate to base the quantum description of light propagation and down-conversion in a nonlinear medium on a Hamiltonian operator. In pumping with femtosecond pulses, which is not yet treated here, the description is so complicated that the discontinuities of the linear and nonlinear susceptibilities present a specific problem. In contrast, the analogy with a quantum nonlinear beam splitter can be utilized for the quantization of classical input-output relations. On numerical simulation, nonvanishing commutators between output field operators of different modes are revealed and a method of adaptation of these results to quantum input-output relations is also proposed." . . "RIV/68378271:_____/13:00399362!RIV14-AV0-68378271" . "T153" .