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We study the ellipticity of high-order harmonics emitted from CO$_2$ molecule driven by linearly polarized laser fields using numerical simulations within the time-dependent density functional theory. We find that the overall ellipticity of…

Atomic and Molecular Clusters · Physics 2024-09-17 Andres Mora , Lauren Bauerle , Yuqing Xia , Agnieszka Jaron

The relation between high-harmonic spectra and the geometry of the molecular orbitals in position and momentum space is investigated. In particular we choose two isoelectronic pairs of homonuclear and heteronuclear molecules, such that the…

Atomic Physics · Physics 2015-05-19 B. B. Augstein , C. Figueira de Morisson Faria

We investigate the polarization properties of high harmonic generation from polar molecules with a linearly polarized field. It is found that elliptically polarized harmonics are observed in a wide spectral range from the plateau to the…

Optics · Physics 2011-12-06 Meiyan Qin , Xiaosong Zhu , Qingbin Zhang , Weiyi Hong , Peixiang Lu

Accurate modeling of gravitational interactions is fundamental to the analysis, prediction, and control of space systems. While the Newtonian point-mass approximation suffices for many preliminary studies, real celestial bodies exhibit…

Earth and Planetary Astrophysics · Physics 2026-01-27 Felipe Arenas-Uribe

We show that under certain symmetry, the images of complete harmonic embeddings from the complex plane into the hyperbolic plane is completely determined by the geometric information of the vertical measured foliation and is independent of…

Differential Geometry · Mathematics 2007-05-23 Thomas Kwok-keung Au , Tom Yau-heng Wan

We study high-order harmonic generation (HHG) from aligned molecules in strong elliptically polarized laser fields numerically and analytically. Our simulations show that the spectra and polarization of HHG depend strongly on the molecular…

Atomic Physics · Physics 2021-05-19 F. J. Sun , C. Chen , W. Y. Li , X. Liu , W. Li , Y. J. Chen

We investigate the influence of intense, elliptically polarized driving fields on high-order harmonic spectra from aligned diatomic molecules. We derive a generalized two-center interference condition for elliptically polarized fields,…

Atomic Physics · Physics 2015-06-16 T. Das , B. B. Augstein , C. Figueira de Morisson Faria

We demonstrate to image asymmetric molecular orbitals via high-order harmonic generation in a one-color inhomogeneous field. Due to the broken inversion symmetry of the inhomogeneous field in space, the returning electrons with energy in a…

Optics · Physics 2018-03-14 Hua Yuan , Lixin He , Feng Wang , Baoning Wang , Xiaosong Zhu , Pengfei Lan , Peixiang Lu

Extensive studies in the past have focused on precise calculations of the nonlinear-optical susceptibility of thousands of molecules. In this work, we use the broader approach of considering how geometry and symmetry alone play a role. We…

Optics · Physics 2009-11-11 Mark G. Kuzyk , David S. Watkins

We carried out a joint theoretical and experimental study of the polarization of high-order harmonics generated from ZnO by intense infrared laser pulses. Experimentally we found that the dependence of parallel and perpendicular…

In this work, we relate the geometry of chaotic attractors of typical analytic unimodal maps to the behavior of the critical orbit. Our main result is an explicit formula relating the combinatorics of the critical orbit with the exponents…

Dynamical Systems · Mathematics 2007-05-23 Artur Avila , Carlos Gustavo Moreira

We investigate high-order harmonic spectra from aligned diatomic molecules in intense driving fields whose components have orthogonal polarizations. We focus on how the driving-field ellipticity influences structural interference patterns…

Biharmonic and conformal-biharmonic maps are two fourth-order generalizations of the well-studied notion of harmonic maps in Riemannian geometry. In this article we consider maps into the Euclidean sphere and investigate a geometric…

Differential Geometry · Mathematics 2026-03-09 Volker Branding

The role of the Coulomb potential on the generation of elliptically polarized high-order harmonics from atoms driven by elliptically polarized laser is investigated analytically. It is found that the Coulomb effect makes a contribution to…

Atomic Physics · Physics 2013-03-05 Xiaosong Zhu , Meiyan Qin , Qingbin Zhang , Weiyi Hong , Zhizhan Xu , Peixiang Lu

We investigate the contributions from the $3\sigma_{g}$ and $1\pi_{u}$ and molecular orbitals in high-order harmonic generation in $N_{2}$, with particular emphasis on quantum-interference effects. We consider both the physical processes in…

Atomic Physics · Physics 2009-09-08 C. Figueira de Morisson Faria , B. B. Augstein

The occupation of d-orbitals controls the magnitude and anisotropy of the inter-atomic electron transfer in transition metal oxides and hence exerts a key influence on their chemical bonding and physical properties. Atomic-scale modulations…

A number of recent papers have studied when symmetry causes frameworks on a graph to become infinitesimally flexible, or stressed, and when it has no impact. A number of other recent papers have studied special classes of frameworks on…

Metric Geometry · Mathematics 2010-06-07 Bernd Schulze , Walter Whiteley

We present theoretical calculations for polarization and ellipticity of high-order harmonics from aligned N$_2$, CO$_2$, and O$_2$ molecules generated by linearly polarized lasers. Within the rescattering model, the two polarization…

Atomic Physics · Physics 2010-12-13 Anh-Thu Le , R. R. Lucchese , C. D. Lin

Recent reports on intense-field pump-probe experiments for high harmonic generation from coherently rotating linear molecules, have revealed remarkable characteristic effects of the simultaneous variation of the polarization geometry and…

Atomic and Molecular Clusters · Physics 2009-11-13 F. H. M. Faisal , A. Abdurrouf

We present a complete theory of bicircular high-order-harmonic emission from N-fold rotationally symmetric molecules. Using a rotating frame of reference we predict the complete structure of the high-order-harmonic spectra for arbitrary…

Atomic Physics · Physics 2016-09-26 Daniel M. Reich , Lars Bojer Madsen
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