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Second harmonic generation (SHG) is a non-linear optical process, where two photons coherently combine into one photon of twice their energy. Efficient SHG occurs for crystals with broken inversion symmetry, such as transition metal…

On the basis of the Edward-Kornfeld formulation, we study the effective susceptibility of secondharmonic generation (SHG) in colloidal crystals, which are made of graded metallodielectric nanoparticles with an intrinsic SHG susceptibility…

Optics · Physics 2008-03-24 J. P. Huang , Y. C. Jian , C. Z. Fan , K. W. Yu

High-harmonic generation (HHG) normally requires a careful adjustment of the driving laser intensity (typically $10^{14} - 10^{15}$ W/cm$^2$) and gas medium parameters to enable good phase matching conditions. In contrast with conventional…

We present theoretical studies of high-order harmonic generation (HHG) produced by non-homogeneous fields as resulting from the illumination of plasmonic nanostructures with a short laser pulse. We show that both the inhomogeneity of the…

Atomic Physics · Physics 2012-04-27 M. F. Ciappina , J. Biegert , R. Quidant , M. Lewenstein

The successful operation of the hard x-ray self-seeding experiment at the LCLS opens the era of fully coherent hard x-ray free electron lasers (FELs). However, the shot-to-shot radiation fluctuation is still a serious issue. In this paper,…

Accelerator Physics · Physics 2013-05-07 Haixiao Deng , Chao Feng

We develop a numerical scheme to investigate the high-order harmonic generation (HHG) in intense laser-matter interactions. Tracing the time evolution of every electronic laser-field-free state, we "observe" the HHG in a time-integrated…

Atomic Physics · Physics 2008-11-14 Y. J. Chen , J. Liu , Bambi Hu

We propose a computational framework to extract non-linear response functions from real-time simulations in the presence of more than one external field. We apply this approach to the calculation of sum frequency generation (SFG) and…

Materials Science · Physics 2025-11-19 Mike N. Pionteck , Myrta Grüning , Simone Sanna , Claudio Attaccalite

Photoinjectors and Free Electron Lasers (FEL) are amongst the most advanced systems in accelerator physics and have consistently pushed the boundaries of emittance and x-ray peak power. In this paper, laser shaping at the cathode is…

Accelerator Physics · Physics 2023-06-30 Nicole Neveu , Randy Lemons , Joseph Duris , Jingyi Tang , Yuantao Ding , Agostino Marinelli , Sergio Carbajo

High-harmonic generation (HHG), an extreme nonlinear effect, introduces an unprecedented paradigm to detect emergent quantum phases and electron dynamics inconceivable in the framework of linear and low-order nonlinear processes. As an…

We study theoretically and experimentally High Harmonic Generation (HHG) using two non collinear driving fields focused in gases. We show that these two fields form a non stationary blazed active grating in the generation medium. The…

Optics · Physics 2019-03-13 C. Chappuis , D. Bresteau , T. Auguste , O. Gobert , T. Ruchon

High-order harmonic generation (HHG) is combined with resonant x-ray excitation of a core electron into the transient valence vacancy that is created in the course of the HHG process. To describe this setting, I develop a…

Atomic Physics · Physics 2015-10-15 Christian Buth

The extreme nonlinear optical process of high-harmonic generation (HHG) makes it possible to map the properties of a laser beam onto a radiating electron wavefunction, and in turn, onto the emitted x-ray light. Bright HHG beams typically…

Detuning of the fundamental is a way to enhance harmonic generation . By this method, the wiggler is composed of two segments in such a way that the fundamental resonance of the second segment to coincide with the third harmonic of the…

Accelerator Physics · Physics 2016-03-21 Elham Salehi , Behrouz Maraghechi , Najmeh Sadat Mirian

The second-order $\chi^{2}$ process underpins many important nonlinear optical applications in the field of classical and quantum optics. Generally, the $\chi^{2}$ process manifests itself only in a non-centrosymmetric dielectric medium via…

Optics · Physics 2022-06-29 Yadong Wang , Daniel Burt , Kunze Lu , Donguk Nam

We present a study on photonic vertical cavities consisting of nonlinear materials embedded in photonic crystals (PhCs) for resonantly enhancing second harmonic generation (SHG). Previous attempts at SHG in such structures have been limited…

We theoretically investigate photo-excitation of electron-hole pairs and high harmonic generation in the bulk of zinc oxide (ZnO) subjected to intense femto-second laser pulses with mid-infrared wavelength. The main microscopic mechanism of…

Optics · Physics 2025-07-15 Boyan Obreshkov , Tzveta Apostolova

In our earlier work on harmonic generation with complex light [Nature Communications 15, 6878 (2024)], we demonstrated how the harmonic spectrum of a complex laser beam in a nonlinear medium can be obtained through the judicious application…

Optics · Physics 2025-11-17 Raoul Trines , Holger Schmitz , Martin King , Paul McKenna , Robert Bingham

Coulombian diffusion determines a dilution of bunching coefficients in Free Electron Laser seeded devices. From the mathematical point of view the effect can be modeled through a heat type equation, which can be merged with the ordinary…

Accelerator Physics · Physics 2013-06-06 G. Dattoli , E. Sabia

We theoretically investigate high-order harmonic generation (HHG) in Rydberg atoms driven by spatially inhomogeneous laser fields, induced, for instance, by plasmonic enhancement. It is well known that the laser intensity should to exceed…

Atomic Physics · Physics 2016-07-08 Y. Tikman , I. Yavuz , M. F. Ciappina , A. Chacon , Z. Altun , M. Lewenstein

Optical second-harmonic generation (SHG) is a nonlinear parametric process that doubles the frequency of incoming light. Only allowed in non-centrosymmetric materials, it has been widely used in frequency modulation of lasers, surface…

Materials Science · Physics 2021-01-05 Wontaek Kim , Je Yhoung Ahn , Juseung Oh , Ji Hoon Shim , Sunmin Ryu