A quantum theory is developed for the spontaneous optical parametric process in nonlinear, anisotropic, and dispersive media; the process is treated directly as a scattering problem rather than a problem involving equivalent coupled oscillators. Following the general procedure in quantum field theory, a general expression is obtained for the differential extinction coefficient, which contains all the information on the intensity of the spontaneous emission in the parametric scattering process. The tuning characteristics, beam divergence, and spectral properties of the spontaneous emission for colinear and noncolinear interactions are described in detail and illustrated with numerical examples on such standard nonlinear optical crystals as LiNb ${\mathrm{O}}_{3}$ , N ${\mathrm{H}}_{4}$ ${\mathrm{H}}_{2}$ P ${\mathrm{O}}_{4}$ , and K ${\mathrm{H}}_{2}$ P ${\mathrm{O}}_{4}$ under various pumping conditions. Explicit formulas for the intensity of the spontaneous emission are also obtained. The spontaneous intensity calculated using the formulas given is shown to be in complete agreement with known experimental data on N ${\mathrm{H}}_{4}$ ${\mathrm{H}}_{2}$ P ${\mathrm{O}}_{4}$ pumped at 3472 \AA{}.A quantum theory is developed for the spontaneous optical parametric process in nonlinear, anisotropic, and dispersive media; the process is treated directly as a scattering problem rather than a problem involving equivalent coupled oscillators. Following the general procedure in quantum field theory, a general expression is obtained for the differential extinction coefficient, which contains all the information on the intensity of the spontaneous emission in the parametric scattering process. The tuning characteristics, beam divergence, and spectral properties of the spontaneous emission for colinear and noncolinear interactions are described in detail and illustrated with numerical examples on such standard nonlinear optical crystals as LiNb${\mathrm{O}}_{3}$, N${\mathrm{H}}_{4}$${\mathrm{H}}_{2}$P${\mathrm{O}}_{4}$, and K${\mathrm{H}}_{2}$P${\mathrm{O}}_{4}$ under various pumping conditions. Explicit formulas for the intensity of the spontaneous emission are also obtained. The spontaneous intensity calculated using the formulas given is shown to be in complete agreement with known experimental data on N${\mathrm{H}}_{4}$${\mathrm{H}}_{2}$P${\mathrm{O}}_{4}$ pumped at 3472 \AA{}.

Physical ReviewFeb 10, 1968112 citations

Interferometry of spontaneous parametric light scattering

Dmitry Korystov, S. P. Kulik, Alexander N. Penin

The interference of biphotonic light produced in the process of spontaneous parametric scattering (SPS) in two spatially separated non-centrally symmetric crystals is considered. A scheme of the nonlinear Mach—Zehnder interferometer is realised. It is shown that in this case, the frequency-angular intensity distribution in the far-field zone (the SPS spectrum) contains information not only on non-centrally symmetric crystals, where biphotonic fields are created, but also on the optical properties of the medium located between the scattering crystals. The algorithms for the determination of the dispersion law in this medium are developed.The interference of biphotonic light produced in the process of spontaneous parametric scattering (SPS) in two spatially separated non-centrally symmetric crystals is considered. A scheme of the nonlinear Mach—Zehnder interferometer is realised. It is shown that in this case, the frequency-angular intensity distribution in the far-field zone (the SPS spectrum) contains information not only on non-centrally symmetric crystals, where biphotonic fields are created, but also on the optical properties of the medium located between the scattering crystals. The algorithms for the determination of the dispersion law in this medium are developed.

Quantum ElectronicsOct 31, 20009 citations

Quantum Optics of Light Scattering

Alexander A. Lisyansky, E. S. Andrianov, Alexey P. Vinogradov +1 more

Springer series in optical sciences/SPringer series in optical sciencesJan 1, 20247 citations

{\mathrm{O}}_{3}

, N

{\mathrm{H}}_{4}

{\mathrm{H}}_{2}

{\mathrm{O}}_{4}

, and K

{\mathrm{H}}_{2}

{\mathrm{O}}_{4}

under various pumping conditions. Explicit formulas for the intensity of the spontaneous emission are also obtained. The spontaneous intensity calculated using the formulas given is shown to be in complete agreement with known experimental data on N

{\mathrm{H}}_{4}

{\mathrm{H}}_{2}

{\mathrm{O}}_{4}

pumped at 3472 \AA{}.