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We propose and investigate the quasi-phase matched (QPM) nonlinear optical frequency conversion of optical vortices in periodically poled Lithium Niobate (PPLN). Laguerre-Gaussian (LG) modes are used to represent the orbital angular…

Optics · Physics 2013-12-16 Guang-hao Shao , Zi-jian Wu , Jin-hui Chen , Fei Xu , Yan-qing Lu

In a nonlinear three-wave mixing process, the interacting waves can accumulate an adiabatic geometric phase (AGP) if the nonlinear coefficient of the crystal is modulated in a proper manner along the nonlinear crystal. This concept was…

In this article, I show how periodically-tapered waveguides can be employed as efficient quasi-phase-matching schemes for four-wave mixing parametric processes in third-order nonlinear materials. As an example, a thorough study of enhancing…

Optics · Physics 2018-02-07 Mohammed F. Saleh

Quasi-phase matching (QPM) is a technique extensively utilized in nonlinear optics for enhancing the efficiency and stability of frequency conversion processes. However, the conventional QPM relies on periodically poled ferroelectric…

We describe analytically and numerically the geometric phase arising from nonlinear frequency conversion and show that such a phase can be made non-reciprocal by momentum-dependent photonic transition. Such non-reciprocity is immune to the…

The first scheme for quasi-phase-matching high harmonic generation of circularly polarized radiation is proposed: optical rotation quasi-phase-matching (ORQPM). In ORQPM propagation of the driving radiation in a system exhibiting circular…

Optics · Physics 2013-03-19 Lewis Z. Liu , Kevin O'Keeffe , Simon M. Hooker

We provide an illustration of a geometric structure that exhibits the spin-half wave-function characteristics, namely that its full rotation displays a phase inversion. We show that general fractional-spin geometric structures are possible,…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 Zeev Burshtein

It is shown theoretically that the use of accelerating spatiotemporal quasi-phase-matching (QPM) modulation patterns in media with parametric optical interactions makes it possible to generate a time-reversed replica of the pump pulse…

Optics · Physics 2016-10-17 Michal Yachini , Boris Malomed , Alon Bahabad

Modal phase matching (MPM) is a widely used phase matching technique in Al$_x$Ga$_{1-x}$As and other $\chi^{(2)}$ nonlinear waveguides for efficient wavelength conversions. The use of a non-fundamental spatial mode compensates the material…

Optics · Physics 2021-12-30 Dongpeng Kang , Weiqi Zhang , Amr S. Helmy , Siyuan Yu , Liying Tan , Jing Ma

Phase matching is essential for efficient energy transfer in nonlinear wave-mixing processes. Traditional methods, such as birefringent and quasi-phase matching, have remained conceptually unchanged since their discovery over 60 years ago,…

Optics · Physics 2026-02-23 Danielle Ben-Haim , Mai Tal , Xiaoxi Xu , Tal Ellenbogen

Nonlinear optics is crucial for shaping the spatial structure of shortwave light and its interactions with matter, but achieving this through simple harmonic generation with a single pump is challenging. This study demonstrates nonlinear…

Optics · Physics 2025-06-23 Ting-Ting Liu , Shi-Hui Ding , Chun-Yu Li , Hui Liu , Zhi-Han Zhu , Peng Chen , Yan-Qing Lu

In a one-dimensional periodic nonlinear $\chi^{(2)}$ medium, by choosing a proper material and geometrical parameters of the structure, it is possible to obtain two matching conditions for simultaneous generation of second and third…

Materials Science · Physics 2009-10-31 V. V. Konotop , V. Kuzmiak

We present a comprehensive overview of different types of parametric interactions in nonlinear optics which are associated with simultaneous phase-matching of several optical processes in quadratic nonlinear media, the so-called multistep…

Pattern Formation and Solitons · Physics 2018-04-13 Solomon M. Saltiel , Andrey A. Sukhorukov , Yuri S. Kivshar

The generalization of quasi-phase-matching using polarization beating and of multimode quasi-phase-matching (MMQPM) for the generation of high-order harmonics is explored, and a method for achieving polarization beating is proposed. If two…

Optics · Physics 2013-02-22 Lewis Z. Liu , Kevin O'Keeffe , Simon M. Hooker

Quasi-phase-matching (QPM) is a widely adopted technique for mitigating stringent momentum conservation in nonlinear optical processes such as second-harmonic generation (SHG). It effectively compensates for the phase velocity mismatch…

In this paper, the optimal solution of effective nonlinear coefficient of quasi-phase-matching (QPM) crystals for coupled third harmonic generation (CTHG) was numerically investigated. The effective nonlinear coefficient of CTHG was…

Optics · Physics 2024-03-08 Zihua Zheng , Ziwen Tang , Zhiyi Wei , Jinghua Sun

Domain-engineered quasi-phase-matching (QPM) devices are known for its versatility and ability to tune the nonlinear optical frequency conversion process. In this paper, a simple approach is presented to generate multiple…

Integrated nonlinear photonic technologies, even with state-of-the-art fabrication with only a few nanometer geometry variations, face significant challenges in achieving wafer-scale yield of functional devices. A core limitation lies in…

A wave function picks up, in addition to the dynamic phase, the geometric (Berry) phase when traversing adiabatically a closed cycle in parameter space. We develop a general multidimensional theory of the geometric phase for (double) cycles…

Quantum Physics · Physics 2009-11-11 A. A. Mailybaev , O. N. Kirillov , A. P. Seyranian

We present a scheme for implementing the unconventional geometric two-qubit phase gate with nonzero dynamical phase by using the two-channel Raman interaction of two atoms in a cavity. We show that the dynamical phase acquired in a cyclic…

Quantum Physics · Physics 2009-11-13 Xun-Li Feng , Zisheng Wang , Chunfeng Wu , L. C. Kwek , C. H. Oh
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