Spontaneous Parametric Down-Conversion in Nonlinear Layered Structures

Peřina, Jan

doi:10.1016/b978-0-444-63379-8.00002-7

Cited by 3 publications

(3 citation statements)

References 113 publications

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“…The forward-(backward-) propagating fields are indicated by index F (B). The unit electric-field vectors e p,γ determine the field's polarization either along the x or y axis [9,14,43]. The wave numbers k (l) pg,γ satisfy the linear dispersion relations appropriate to an l-th layer, k…”

Section: Volume and Surface Spontaneous Parametric Down-conversionmentioning

confidence: 99%

“…The forward-(backward-) propagating fields are indicated by index F (B). The unit electric-field vectors e p,γ determine the field's polarization either along the x or y axis [9,14,43]. The wave numbers k The signal and idler positive-frequency vectorial electric-field operator amplitudes Ê(+) s (z, t) and Ê(+) i (z, t), respectively, are defined similarly as the pump amplitude:…”

Section: Volume and Surface Spontaneous Parametric Down-conversionmentioning

confidence: 99%

“…Due to the laws of energy and momentum conservations quantum correlations (entanglement) between the photons in a pair emerge [4][5][6][7]. The process of SPDC occurs either inside the media with non-zero second-order permittivity tensor (non-centrosymmetric crystals) or at the boundaries of these media [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

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Role of volume and surface spontaneous parametric down-conversion in the generation of photon pairs in layered media

JavÅ̄rek

Peřina

2017

Phys. Rev. A

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A rigorous description of volume and surface spontaneous parametric down-conversion in 1D nonlinear layered structures is developed considering exact continuity relations for the fields' amplitudes at the boundaries. The nonlinear process is described by the quantum momentum operator that provides the Heisenberg equations which solution is continuous at the boundaries. The transfermatrix formalism is applied. The volume and surface contributions are clearly identified. Numerical analysis of a structure composed of 20 alternating GaN/AlN layers is given as an example.

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Section: Volume and Surface Spontaneous Parametric Down-conversionmentioning

confidence: 99%

“…The forward-(backward-) propagating fields are indicated by index F (B). The unit electric-field vectors e p,γ determine the field's polarization either along the x or y axis [9,14,43]. The wave numbers k The signal and idler positive-frequency vectorial electric-field operator amplitudes Ê(+) s (z, t) and Ê(+) i (z, t), respectively, are defined similarly as the pump amplitude:…”

Section: Volume and Surface Spontaneous Parametric Down-conversionmentioning

confidence: 99%

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Role of volume and surface spontaneous parametric down-conversion in the generation of photon pairs in layered media

JavÅ̄rek

Peřina

2017

Phys. Rev. A

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Analytical model of surface second-harmonic generation

Javůrek

Peřina

2019

Sci Rep

Self Cite

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The process of second-harmonic generation (SHG) in a finite one-dimensional nonlinear medium is analyzed in parallel by the Green-function technique and the Fourier-transform method. Considering the fundamental pump field propagating along a given direction and eliminating back-reflections at the boundaries the terms giving the surface second-harmonic fields in the particular solution of the wave equation are uniquely identified. Using these terms the flow of energy corresponding to the surface second-harmonic fields is analyzed in the vicinity of the boundaries. The formula giving the depth of the nonlinear medium contributing to the surface SHG is obtained. Both approaches for describing the SHG are compared considering complexity and quantization of the interacting fields. In addition, a theoretical model of surface SHG in centrosymmetric media is proposed. The model is built upon assumption that the second-order nonlinearity decays exponentially with distance from the boundary. As an important example, the generation of surface SHG from a thin dielectric nonlinear layer placed on a silicon substrate is analyzed by the proposed model.

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Entangled photon-pair generation in nonlinear thin-films

Santos,

Weissflog,

Pertsch

et al. 2024

Nanophotonics

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We develop a fully vectorial and non-paraxial formalism to describe spontaneous parametric down-conversion in nonlinear thin films. The formalism is capable of treating slabs with a sub-wavelength thickness, describe the associated Fabry–Pérot effects, and even treat absorptive nonlinear materials. With this formalism, we perform an in-depth study of the dynamics of entangled photon-pair generation in nonlinear thin films, to provide a needed theoretical understanding for such systems that have recently attracted much experimental attention as sources of photon pairs. As an important example, we study the far-field radiation properties of photon pairs generated from a high-refractive-index nonlinear thin-film with zinc-blende structure that is deposited on a linear low-refractive-index substrate. In particular, we study the thickness-dependent effect of Fabry–Pérot interferences on the far-field radiation pattern of the photon pairs. We also pay special attention to study of entanglement generation, and find the conditions under which maximally polarization-entangled photon pairs can be generated and detected in such nonlinear thin-films.

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Spontaneous Parametric Down-Conversion in Nonlinear Layered Structures

Cited by 3 publications

References 113 publications

Role of volume and surface spontaneous parametric down-conversion in the generation of photon pairs in layered media

Role of volume and surface spontaneous parametric down-conversion in the generation of photon pairs in layered media

Analytical model of surface second-harmonic generation

Entangled photon-pair generation in nonlinear thin-films

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