© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

physica status solidi (a)

The disordering effect of periodically poled nonlinear crystals on parametric down conversion

Reza Kheradmand, Mahdi Rezaei, Gagik Yu. Kryuchkyan, Majid Nemati, Afshin Razmi

Published May 24, 2011• 4 citations

Abstract

Abstract We have investigated the spectral properties and the multimode structure of joint states of photon pair produced by parametric down conversion in periodically poled nonlinear crystals (PPNC) by adding random length to each domain. We have also analysed the effect of additional random length on the output efficiency by considering two different configurations of PPNC and linear crystals, which we call (+, ‐) (PN) and (+, 0,−, 0) (PZNZ) configuration. In this paper we wish to study the effect of length fluctuations of segments which may occur in the preparation of PPNC in the laboratory. We aim at finding out how much error is reasonable in the process. In order to do this, we added random length to each segment and obtained the relevance between the output intensity and length fluctuations of the crystals.

DOI: 10.1002/pssa.201084118

Related papers

Generation of entangled photon pairs in periodically poled nonlinear crystals

Jiŕí Svozilík, Jan Peřina

We describe properties of entangled photon pairs generated by spontaneous parametric down-conversion in periodically poled nonlinear crystals. These materials can serve as a useful bright source of photon pairs which properties can be tailored on demand. Especially photon pairs with broad spectra and sharp temporal features can be observed. Both uniform and chirped poling are considered. Spectral properties of the generated photons, photon fluxes, coincidence-count patterns in a Hong-Ou-Mandel interferometer, entropy of entanglement, as well as transverse profiles of intensities of the generated photon fields are discussed. Also the correlation area of two photons comprising a photon pair has been studied as it depends on parameters of periodical poling. Attention is also paid to structures with randomly distributed boundaries.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•May 7, 2009•1 citation

Intense ultra-broadband down-conversion from randomly poled nonlinear crystals

Jiŕí Svozilík, Jan Peřina

Stochastic quasi-phase-matching of the process of spontaneous parametric down-conversion is analyzed. It is shown that spectral, temporal and spatial properties of photon pairs generated in randomly poled crystals are similar to those generated in chirped periodically-poled crystals. Especially, randomly poled crystals are capable to emit photon pairs with ultra-broad spectra.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•May 5, 2011•0 citations

Statistical Characteristics of Quantum Polarization States Formed in Periodically Poled Nonlinear Crystals: Mathematical Modeling

Aleksandr V. Belinsky, Ranjit Singh

Abstract A degenerate parametric process and the complete upward generation of ordinary and extraordinary optical waves inside a periodically poled nonlinear crystal (PPNC) with quadratic nonlinearity are considered. A quantum theory is developed for describing statistical characteristics of the polarized states of light in a PPNC. It is found that the degree of polarization can be controlled by creating an imbalance in the intensity of modes at frequencies of ordinary and extraordinary optical waves (i.e., reducing the average number of photons in one and increasing it in the other).

Bulletin of the Russian Academy of Sciences Physics•Jan 1, 2020•1 citation

Intense ultra-broadband down-conversion from randomly poled nonlinear crystals

Jiŕí Svozilík, Jan Peřina

Randomly poled nonlinear crystals are shown to be able to emit intense ultra-broadband photon-pair fields with properties comparable to those coming from chirped periodically-poled crystals. Their intensities scale linearly with the number of domains. Also photon pairs extending over intervals with durations comparable to one optical cycle can be generated in these crystals.

arXiv:1012.0772•Optics Express•Dec 9, 2010•13 citations

Coupled parametric processes in binary nonlinear photonic structures

M. Yu. Saygin, A. S. Chirkin

We study parametric interactions in a new type of nonlinear photonic structure, which is realized in the volume between a pair of nonlinear crystals. In this kind of structure, which we call binary, multiple nonlinear optical processes can be implemented simultaneously, owing to multiple phase-matching conditions, fulfilled separately in the constituent crystals. The coupling between the nonlinear processes by means of modes sharing similar frequency is attained by the spatially broadband nature of the parametric fields. We investigate the spatial properties of the fields generated in the binary structure constructed from periodically poled crystals for the two examples: (1) single parametric downconversion and (2) coupled parametric downconversion and upconversion processes. The efficacy of the fields’ generation in these examples is analyzed through comparison with the cases of a traditional single periodically poled crystal and an aperiodic photonic structure, respectively. For this, we have devised a method that allowed us to solve the field equations numerically without resorting to statistically modeling the input vacuum states. It has been shown that the relative shift between the periodic crystal lattices has a crucial effect on the generated spatial field spectrum and overall efficiency. In addition, the influence of the intercrystal distance on these characteristics has been studied. Therefore, our study suggests that one can construct optical elements with sophisticated nonlinear properties from simpler elements without significant sacrifice of efficacy.

arXiv:1609.05350•Journal of the Optical Society of America B•Nov 18, 2016•0 citations

Modeling Nonlinear Optical Processes in a Periodically Poled Nonlinear Crystal

Aleksandr V. Belinsky, Ranjit Singh

Abstract Three nondegenerate processes are considered: the parametric and simultaneous generation of sum frequencies in a periodically poled nonlinear crystal. The behavior of the average number of photons of interacting modes and their mutual correlations of orders 3, 4, and 5 are studied numerically. A new effect of inversion of the mutual correlation of the modes of the generated radiation is observed at certain length of interaction.

Bulletin of the Russian Academy of Sciences Physics•Jan 1, 2019•1 citation

Abstract We have investigated the spectral properties and the multimode structure of joint states of photon pair produced by parametric down conversion in periodically poled nonlinear crystals (PPNC) by adding random length to each domain. We have also analysed the effect of additional random length on the output efficiency by considering two different configurations of PPNC and linear crystals, which we call (+, ‐) (PN) and (+, 0,−, 0) (PZNZ) configuration. In this paper we wish to study the effect of length fluctuations of segments which may occur in the preparation of PPNC in the laboratory. We aim at finding out how much error is reasonable in the process. In order to do this, we added random length to each segment and obtained the relevance between the output intensity and length fluctuations of the crystals.

We describe properties of entangled photon pairs generated by spontaneous parametric down-conversion in periodically poled nonlinear crystals. These materials can serve as a useful bright source of photon pairs which properties can be tailored on demand. Especially photon pairs with broad spectra and sharp temporal features can be observed. Both uniform and chirped poling are considered. Spectral properties of the generated photons, photon fluxes, coincidence-count patterns in a Hong-Ou-Mandel interferometer, entropy of entanglement, as well as transverse profiles of intensities of the generated photon fields are discussed. Also the correlation area of two photons comprising a photon pair has been studied as it depends on parameters of periodical poling. Attention is also paid to structures with randomly distributed boundaries.

Abstract A degenerate parametric process and the complete upward generation of ordinary and extraordinary optical waves inside a periodically poled nonlinear crystal (PPNC) with quadratic nonlinearity are considered. A quantum theory is developed for describing statistical characteristics of the polarized states of light in a PPNC. It is found that the degree of polarization can be controlled by creating an imbalance in the intensity of modes at frequencies of ordinary and extraordinary optical waves (i.e., reducing the average number of photons in one and increasing it in the other).

We study parametric interactions in a new type of nonlinear photonic structure, which is realized in the volume between a pair of nonlinear crystals. In this kind of structure, which we call binary, multiple nonlinear optical processes can be implemented simultaneously, owing to multiple phase-matching conditions, fulfilled separately in the constituent crystals. The coupling between the nonlinear processes by means of modes sharing similar frequency is attained by the spatially broadband nature of the parametric fields. We investigate the spatial properties of the fields generated in the binary structure constructed from periodically poled crystals for the two examples: (1) single parametric downconversion and (2) coupled parametric downconversion and upconversion processes. The efficacy of the fields’ generation in these examples is analyzed through comparison with the cases of a traditional single periodically poled crystal and an aperiodic photonic structure, respectively. For this, we have devised a method that allowed us to solve the field equations numerically without resorting to statistically modeling the input vacuum states. It has been shown that the relative shift between the periodic crystal lattices has a crucial effect on the generated spatial field spectrum and overall efficiency. In addition, the influence of the intercrystal distance on these characteristics has been studied. Therefore, our study suggests that one can construct optical elements with sophisticated nonlinear properties from simpler elements without significant sacrifice of efficacy.