Reflectionless Beam Propagation on a Piecewise Linear Complex Domain

Bahl, Anand; Teleki, Aba; Jakobsen, Per Kristen; Wright, E. M.; Kolesík, M.

doi:10.1109/jlt.2014.2354631

Cited by 9 publications

(4 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The outgoing Siegert condition on the instantaneous ground state for a given F is implemented by complexifying the spatial coordinates at large radii, as described in detail in Ref. [26].…”

Section: Introductionmentioning

confidence: 99%

Universal long-wavelength nonlinear optical response of noble gases

Kolesík

Wright

2019

Opt. Express

View full text Add to dashboard Cite

We demonstrate numerically that the long-wavelength nonlinear dipole moment and ionization rate versus electric field strength F for different noble gases can be scaled onto each other, revealing universal functions that characterize the form of the nonlinear response. We elucidate the physical origin of the universality by using a metastable state analysis of the light-atom interaction in combination with a scaling analysis. Our results also provide a powerful new means of characterizing the nonlinear response in the mid-infrared and long-wave infrared for optical filamentation studies.

show abstract

“…The outgoing Siegert condition on the instantaneous ground state for a given F is implemented by complexifying the spatial coordinates at large radii, as described in detail in Ref. [26].…”

Section: Introductionmentioning

confidence: 99%

Universal long-wavelength nonlinear optical response of noble gases

Kolesík

Wright

2019

Opt. Express

View full text Add to dashboard Cite

show abstract

“…The Tetgen software uses Delaunay triangulation technology to discretize tesseroids into tetrahedrons in the spherical coordinate system. Considering that it is difficult to describe the curved edges/faces of tesseroids by PLC/PSLG [80,90,91], it is also easy to introduce significant geometric errors. The geometric results were refined several times by Tetgen software (see Figure 12).…”

Section: Phase 2: To Verify the Tetrahedron-based And Tesseroid-based...mentioning

confidence: 99%

Spherical Gravity Forwarding of Global Discrete Grid Cells by Isoparametric Transformation

Cao,

Chen,

et al. 2024

Mathematics

View full text Add to dashboard Cite

For regional or even global geophysical problems, the curvature of the geophysical model cannot be approximated as a plane, and its curvature must be considered. Tesseroids can fit the curvature, but their shapes vary from almost rectangular at the equator to almost triangular at the poles, i.e., degradation phenomena. Unlike other spherical discrete grids (e.g., square, triangular, and rhombic grids) that can fit the curvature, the Discrete Global Grid System (DGGS) grid can not only fit the curvature but also effectively avoid degradation phenomena at the poles. In addition, since it has only edge-adjacent grids, DGGS grids have consistent adjacency and excellent angular resolution. Hence, DGGS grids are the best choice for discretizing the sphere into cells with an approximate shape and continuous scale. Compared with the tesseroid, which has no analytical solution but has a well-defined integral limit, the DGGS cell (prisms obtained from DGGS grids) has neither an analytical solution nor a fixed integral limit. Therefore, based on the isoparametric transformation, the non-regular DGGS cell in the system coordinate system is transformed into the regular hexagonal prism in the local coordinate system, and the DGGS-based forwarding algorithm of the gravitational field is realized in the spherical coordinate system. Different coordinate systems have differences in the integral kernels of gravity fields. In the current literature, the forward modeling research of polyhedrons (the DGGS cell, which is a polyhedral cell) is mostly concentrated in the Cartesian coordinate system. Therefore, the reliability of the DGGS-based forwarding algorithm is verified using the tetrahedron-based forwarding algorithm and the tesseroid-based forwarding algorithm with tiny tesseroids. From the numerical results, it can be concluded that if the distance from observations to sources is too small, the corresponding gravity field forwarding results may also have ambiguous values. Therefore, the minimum distance is not recommended for practical applications.

show abstract

“…at large distances from it. These calculations utilized the complex-scaled computational domains which act as transparent boundary conditions [24] for outgoing waves and used five-point discretization schemes. This allowed us to use relatively small computational domains, z ∼ 60 a.u.…”

Section: A Ionization In Femtosecond Pulsesmentioning

confidence: 99%

Nonlinear optical response of noble gases via the metastable electronic state approach

2016

View full text Add to dashboard Cite

The goal of this paper is to elucidate the theoretical underpinnings of the metastable electronic state approach (MESA) and demonstrate its utility for the evaluation of the nonlinear optical response of noble-gas atoms with emphasis on the application of the method to the propagation of multicolor optical fields in large-scale, spatially resolved simulations. More specifically, single-active-electron models of various atoms are employed to calculate their nonlinear properties both within the adiabatic approximation, involving a single metastable state and beyond, capturing inertial effects, and wavelength-dependent ionization. Simulations for excitation pulses at different center wavelengths as well as ionization in two-color pulses are presented and compared with numerical solutions of the time-dependent Schrödinger equation. Illustrative examples of the numerical simulation of high-power pulse propagation incorporating MESA data are also presented and showcase the successful application to optical filamentation in the midinfrared region.

show abstract

Reflectionless Beam Propagation on a Piecewise Linear Complex Domain

Cited by 9 publications

References 9 publications

Universal long-wavelength nonlinear optical response of noble gases

Universal long-wavelength nonlinear optical response of noble gases

Spherical Gravity Forwarding of Global Discrete Grid Cells by Isoparametric Transformation

Nonlinear optical response of noble gases via the metastable electronic state approach

Contact Info

Product

Resources

About