scholarly journals Second Harmonic Revisited: An Analytic Quantum Approach

2019 ◽  
Vol 9 (8) ◽  
pp. 1690
Author(s):  
Giovanni Chesi ◽  
Matteo M. Wauters ◽  
Nadir Fasola ◽  
Alessia Allevi ◽  
Maria Bondani
Keyword(s):  
Second Harmonic Generation ◽  
Autocorrelation Function ◽  
Harmonic Generation ◽  
Second Harmonic ◽  
Photon Number ◽  
Generation Process ◽  
Initial State ◽  
Perturbative Approach ◽  
Quantum Approach ◽  
Photon Number Distribution

We address the second-harmonic generation process in a quantum frame. Starting with a perturbative approach, we show that it is possible to achieve a number of analytic results, ranging from the up-conversion probability to the statistical properties of the generated light. In particular, the moments and the correlations of the photon-number distribution of the second-harmonic light generated by any initial state are retrieved. When possible, a comparison with the results achieved with the classical regime is successfully provided. The nonclassicality of some benchmark states is investigated by inspecting the corresponding autocorrelation function.

scholarly journals Spontaneous 2D modulation instability in second harmonic generation process

2011 ◽  
Vol 284 (5) ◽  
pp. 1401-1404 ◽  
Author(s):  
Michaël Delqué ◽  
Gil Fanjoux ◽  
Simon-Pierre Gorza ◽  
Marc Haelterman
Keyword(s):  
Second Harmonic Generation ◽  
Harmonic Generation ◽  
Modulation Instability ◽  
Second Harmonic ◽  
Generation Process

Dynamic computer-generated nonlinear optical holograms in a non-collinear second-harmonic generation process

2018 ◽  
Vol 43 (14) ◽  
pp. 3236 ◽  
Author(s):  
Haigang Liu ◽  
Xiaohui Zhao ◽  
Hui Li ◽  
Yuanlin Zheng ◽  
Xianfeng Chen
Keyword(s):  
Second Harmonic Generation ◽  
Harmonic Generation ◽  
Nonlinear Optical ◽  
Second Harmonic ◽  
Generation Process

scholarly journals Scalar time domain modeling and coupling of second harmonic generation process in GaAs discontinuous optical waveguide

2008 ◽  
Vol 16 (19) ◽  
pp. 14496 ◽  
Author(s):  
A. Massaro ◽  
V. Tasco ◽  
M. T. Todaro ◽  
R. Cingolani ◽  
M. De Vittorio ◽  
...  
Keyword(s):  
Second Harmonic Generation ◽  
Optical Waveguide ◽  
Harmonic Generation ◽  
Time Domain ◽  
Second Harmonic ◽  
Generation Process ◽  
Domain Modeling ◽  
Time Domain Modeling

scholarly journals Second-harmonic generation and the conservation of spatiotemporal orbital angular momentum of light

2020 ◽  
Author(s):  
Guan Gui ◽  
Nathan Brooks ◽  
Henry Kapteyn ◽  
Margaret Murnane ◽  
Chen-Ting Liao
Keyword(s):  
Angular Momentum ◽  
Second Harmonic Generation ◽  
Harmonic Generation ◽  
Orbital Angular Momentum ◽  
Topological Charge ◽  
Second Harmonic ◽  
Space Time ◽  
Generation Process ◽  
Space And Time ◽  
Phase Singularities

Abstract Light with spatiotemporal orbital angular momentum (ST-OAM) is a recently discovered type of structured electromagnetic field with characteristic space-time spiral phase structure and transverse OAM. In this work, we present the first generation and characterization of the second-harmonic of ST-OAM pulses. By uncovering the conservation of transverse OAM in a second-harmonic generation process, where the space-time topological charge of the fundamental field is doubled along with the optical frequency, we establish a general nonlinear scaling rule— analogous to that describing the spatial topological charges associated with the conventional longitudinal OAM of light. Furthermore, we observe that the topology of a second-harmonic ST-OAM pulse can be modified by complex spatiotemporal astigmatism, giving rise to multiple phase singularities separated in space and time. Our finding thus confirms that a spatiotemporal phase winding, surrounding one or many phase singularities in space and time, can be interpreted as a new class of topological charge. Our study opens a new route for nonlinear conversion and scaling of light carrying ST-OAM with the potential for driving other secondary ST-OAM sources of electromagnetic fields, electron pulses, and beyond.

Size Dependence of Second Harmonic Generation in Cdse Nanocrystals

1999 ◽  
Vol 571 ◽  
Author(s):  
M. Jacobsohn ◽  
U. Banin
Keyword(s):  
Second Harmonic Generation ◽  
Harmonic Generation ◽  
Rayleigh Scattering ◽  
Size Dependence ◽  
Second Harmonic ◽  
Particle Surface ◽  
Harmonic Coefficient ◽  
Cdse Nanocrystals ◽  
Generation Process ◽  
Nanocrystal Quantum Dots

ABSTRACTSecond Harmonic Generation in CdSe nanocrystal quantum dots is observed by Hyper-Rayleigh scattering. We use a Ti-Sapphire femtosecond laser at 820 nm to induce the nonlinear optical response of the nanocrystals in solution. The unit cell normalized second harmonic coefficient βn, shows a substantial systematic enhancement in small sizes. The observed size dependence of the second harmonic generation process, is explained assuming two contributions. The first is a bulk-like contribution, from the non-centrosymmetric nanocrystal core, and the second, a contribution from the particle surface. The latter contribution is most significant in small nanocrystals with a substantial proportion of surface atoms.

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