# Ab initio calculations of the linear and nonlinear susceptibilities of N2 , O2 , and air in midinfrared laser pulses

@article{Brown2018AbI,
title={Ab initio
calculations of the linear and nonlinear susceptibilities of
N2
,
O2
, and air in midinfrared laser pulses},
author={Jeffrey M. Brown and Arnaud Couairon and Mette B. Gaarde},
journal={Physical Review A},
year={2018}
}
• Published 10 April 2018
• Physics
• Physical Review A
We present first-principles calculations of the linear and nonlinear susceptibilities of N$_2$, O$_2$, and air in the mid-infrared wavelength regime, from $1-4$ $\mu$m. We extract the frequency-dependent susceptibilities from the full time-dependent dipole moment that is calculated using time-dependent density functional theory. We find good agreement with curves derived from experimental results for the linear susceptibility, and with measurements for the nonlinear susceptibility up to 2.4…
8 Citations

## Figures and Tables from this paper

• Physics
Photonics
• 2022
In 3D + time numerical simulations, we study the wavelength scaling law for the energy of terahertz (THz) radiation emitted from a two-color femtosecond filament, which forms during cofocusing into
• Physics
• 2020
It has been found experimentally that the filamentation of a femtosecond pulse with a central wavelength of 1.3 µm in a mixture of nitrogen at a pressure of 30 bar and water vapor at a pressure of 2
• Physics
• 2021
In $3\text{D}+t$ numerical simulations, we propose an experiment wherein a mixture of gases is used for the continuous transition from $\mathsf{X}$- to $\mathsf{O}$-shaped angle-wavelength spectrum
• Physics
Optics Letters
• 2021
We report a study of soliton self-frequency shifting in hydrogen-filled hollow-core fiber. The combination of hydrogen and short 40-fs input pulses underlies clean and efficient generation of Raman
• Physics
Light, science & applications
• 2020
A comprehensive review of efforts to understand and optimize a process that uses ultrafast laser pulses to ionize gases into thin filament plasma antennas, which enables the filaments to emit terahertz radiation, which is broadband and powerful enough to pass through buildings and walls without risk to human health.
• Physics
Optics letters
• 2021
From 3D+time carrier-resolved simulations of 100 m pulse propagation, it is shown that spectral humps indicate the formation of a train of femtosecond pulses appearing at a predictable position in the propagation path.
• N. PanovDaniil E. Shipilo
• Physics
Physical Review A
• 2019
Russian Science Foundation [18-12-00422]; National Key Research and Development Program [2018YFB0504400]; 111 Project [B16027]; U.S. AFOSR under MURI [FA9550-16-1-0013]

## References

SHOWING 1-10 OF 45 REFERENCES

• Physics
• 2014
We apply a numerical basis-state method to determine the electric susceptibility of atomic hydrogen via calculations of the terms of the perturbative power series expansion up to eleventh order as
• Physics
Physical review. A, Atomic, molecular, and optical physics
• 1992
A nonperturbative method is used to solve the time-dependent Schr\"odinger equation for an electronic state of an atom subject to a very intense laser, and stable, converged spectra are achieved that agree very well with previously published results.
• Physics
• 2012
As previous theoretical results recently revealed, a Kramers-Kronig transform of multiphoton absorption rates allows for a precise prediction on the dispersion of the nonlinear refractive index n2 in
• Physics
IEEE Journal of Quantum Electronics
• 2010
A procedure for computation of the nonlinear refractive index of a gaseous medium from the intensity dependence of the ionization rate is reported. The ionization rate is calculated from Keldysh
• Physics, Chemistry
• 1994
Much of the impetus for the study of the nonlinear optical properties of molecules comes from the search for materials with nonlinear properties suitable for the construction of practical devices for
• Chemistry, Physics
• 1998
The first and second hyperpolarizabilities (β and γ) of eight molecules at a fundamental wavelength of 1064 were measured by gas-phase electric-field-induced second-harmonic generation (EFISH),
• Physics
• 2008
The recent development of intense, ultrashort, table top lasers in the mid-infrared opens new avenues for research in strong field atomic physics. Electrons submitted to such radiation acquire huge
• Physics, Environmental Science
Scientific Reports
• 2015
This work demonstrates filamentation of ultrashort mid-infrared pulses in the atmosphere for the first time and shows that, with the spectrum of a femtosecond laser driver centered at 3.9 μm, radiation energies above 20 mJ and peak powers in excess of 200 GW can be transmitted through the atmosphere in a single filament.
• Chemistry, Physics
• 2015
We report calculations of the static and dynamic hyperpolarizabilities of the nitrogen radical cation in doublet state. The electronic contributions were computed analytically using density
• P. Ciddor
• Physics, Environmental Science
Applied optics
• 1996
This work critically reviewed recent research at the National Physical Laboratory, the International Bureau of Weights and Measures, and elsewhere that has led to revised formulas and data for the dispersion and density of the major components of the atmosphere to yield a set of equations that match recently reported measurements to within the experimental error.