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Two signal multiplexing schemes for optical fiber communication are considered: Wavelength-division multiplexing (WDM) and nonlinear frequency-division multiplexing (NFDM), based on the nonlinear Fourier transform (NFT). Achievable…

Information Theory · Computer Science 2018-04-24 Mansoor I. Yousefi , Xianhe Yangzhang

Theory of the optical parametric amplification at high-frequency pumping in crystals with a regular space modulation of the sign of nonlinear coupling coefficient of interacting waves is developed. By applying the matrix method, the theory…

Optics · Physics 2007-05-23 E. V. Makeev , A. S. Chirkin

We experimentally demonstrate frequency translation of a nonclassical optical field via the Bragg scattering four-wave mixing process in a photonic crystal fiber (PCF). The high nonlinearity and the ability to control dispersion in PCF…

Quantum Physics · Physics 2010-09-08 H. J. McGuinness , M. G. Raymer , C. J. McKinstrie , S. Radic

Phase-mismatch in nonlinear optical processes can severely limit the propagation and conversion efficiency of light fields. Here, we present an efficient optimal-control strategy to mitigate the detrimental effects of phase-mismatch in an…

Quantum Physics · Physics 2025-09-17 Ning Jia , Hamid R. Hamedi , Jing Qian

This tutorial provides a joint theoretical and experimental overview of heterodyne wave mixing spectroscopy, focusing mainly on four-wave mixing (FWM). This powerful and versatile time-resolved nonlinear optical spectroscopy technique…

Mesoscale and Nanoscale Physics · Physics 2026-01-12 Daniel Groll , Thilo Hahn , Paweł Machnikowski , Tilmann Kuhn , Jacek Kasprzak , Daniel Wigger

Nondegenerate four-wave mixing (FWM) process based on a double-$\Lambda$ scheme in hot alkali metal vapor is a versatile tool in quantum state engineering, quantum imaging, and quantum precision measurements. In this Letter, we investigate…

Quantum Physics · Physics 2019-04-15 Wei Liu , Rong Ma , Li Zeng , Zhongzhong Qin , Xiaolong Su

Four wave mixing (FWM) is an important way to generate supercontinuum and frequency combs in the mid-infrared band. Here, we obtain simultaneous synthetic FWM in the visible and mid-infrared bands by cascading quadratic nonlinear processes…

We introduce a new kind of spontaneous four wave mixing process for the generation of photon pairs, in which the four waves involved counter-propagate in a guided-wave \chi^{(3)} medium; we refer to this process as counter-propagating…

Quantum Physics · Physics 2016-11-23 Jorge Monroy-Ruz , Karina Garay-Palmett , Alfred B. U'Ren

We investigate parametric down-conversion in a hexagonally poled nonlinear photonic crystal, pumped by a dual pump with a transverse modulation that matches the periodicity of the nonlinear grating. A peculiar feature of this resonant…

Quantum Physics · Physics 2019-10-23 E. Brambilla , A. Gatti

Polarization-division multiplexed (PDM) transmission based on the nonlinear Fourier transform (NFT) is proposed for optical fiber communication. The NFT algorithms are generalized from the scalar nonlinear Schr\"odinger equation for one…

Information Theory · Computer Science 2017-11-22 Jan-Willem Goossens , Mansoor I. Yousefi , Yves Jaouën , Hartmut Hafermann

We systematically study a collection of refractive phenomena that can possibly occur at the interface of a two-dimensional photonic crystal, with the use of the wave vector diagram formalism. Cases with a single propagating beam (in the…

Other Condensed Matter · Physics 2015-06-24 S. Foteinopoulou , C. M. Soukoulis

The extension of nonlinear spectroscopic techniques into the x-ray domain is in its infancy but holds the promise to provide unique insight into the dynamics of charges in photoexcited processes, which are of fundamental as well as applied…

There is currently a strong interest in mirrorless lasing systems, in which the electromagnetic feedback is provided either by disorder (multiple scattering in the gain medium) or by order (multiple Bragg reflection). These mechanisms…

Atomic Physics · Physics 2015-05-30 Alexander Schilke , Claus Zimmermann , Philippe W. Courteille , William Guerin

We study the joint spectral properties of photon pairs generated by spontaneous parametric down-conversion in a one-dimensional nonlinear photonic crystal in a collinear, degenerate, type-II geometry. We show that the photonic crystal…

Quantum Physics · Physics 2009-11-13 María Corona , Alfred B. U'Ren

The extraordinary properties of nonlinear optical propagation processes in double-domain positive/negative index metamaterials are reviewed. These processes include second harmonic generation, three- and four-wave frequency mixing, and…

Optics · Physics 2012-04-02 Alexander K. Popov , Vladimir M. Shalaev

Four-wave mixing (FWM) is an efficient source of light waves emitted at various frequencies, usually associated with third-order optical nonlinearities. Whereas attention has mostly been paid in the past to the generation of Stokes (e.g.,…

The optical nonlinear effects can provide different advanced electromagnetic functionalities, such as wave mixing and phase conjugation, which can be applied in a variety of new applications. However, these effects usually suffer from…

Optics · Physics 2020-06-29 Boyuan Jin , Christos Argyropoulos

Bragg waveguides are promising optical filters for pump suppression in spontaneous Four-Wave Mixing (FWM) photon sources. In this work, we investigate the generation of unwanted photon pairs in the filter itself. We do this by taking…

Plasmonic metasurfaces provide an effective way to increase the efficiency of several nonlinear processes while maintaining nanoscale dimensions. In this work, nonlinear metasurfaces based on film-coupled silver nanostripes loaded with Kerr…

Optics · Physics 2016-07-11 Boyuan Jin , Christos Argyropoulos

We study theoretically the time-resolved four-wave mixing (FWM) response of an ensemble of pairs of quantum dots undergoing radiative recombination. At short (picosecond) delay times, the response signal shows beats that may be dominated by…

Mesoscale and Nanoscale Physics · Physics 2009-10-04 Anna Sitek , Pawel Machnikowski