Born approximation
View article: Iterative inversion schemes for the Born series and the reduced inverse Born series
Iterative inversion schemes for the Born series and the reduced inverse Born series Open
Numerical data
View article: Scattering in Time-Varying Drude-Lorentz Models
Scattering in Time-Varying Drude-Lorentz Models Open
Motivated by recent experiments, the theoretical study of wave propagation in time varying materials is of current interest. Although significant in nearly all such experiments, material dispersion is commonly neglected in theoretical stud…
View article: Scattering in Time-Varying Drude-Lorentz Models
Scattering in Time-Varying Drude-Lorentz Models Open
Motivated by recent experiments, the theoretical study of wave propagation in time varying materials is of current interest. Although significant in nearly all such experiments, material dispersion is commonly neglected in theoretical stud…
View article: On fast charged particle scattering by periodic atomic planes: quadratic potential corrections
On fast charged particle scattering by periodic atomic planes: quadratic potential corrections Open
In this paper, the approach for considering fast charged particles scattering on targets of complex structure, which contains some isolated substructures, was expanded to account quadratic potential terms. Based on this approach, the diffe…
View article: On fast charged particle scattering by periodic atomic planes: quadratic potential corrections
On fast charged particle scattering by periodic atomic planes: quadratic potential corrections Open
In this paper, the approach for considering fast charged particles scattering on targets of complex structure, which contains some isolated substructures, was expanded to account quadratic potential terms. Based on this approach, the diffe…
View article: First Born Approximation of the Single Differential Cross Section (SDCS) for Electron Impact Ionization of H(3s)
First Born Approximation of the Single Differential Cross Section (SDCS) for Electron Impact Ionization of H(3s) Open
This investigation is a rigorous theoretical study of the Single Differential Cross Section (SDCS) for the ionization of hydrogen in the 3s state by electron impact computed by means of the First-Born Approximation. The transition matrix h…
View article: First Born Approximation of the Single Differential Cross Section (SDCS) for Electron Impact Ionization of H(3s)
First Born Approximation of the Single Differential Cross Section (SDCS) for Electron Impact Ionization of H(3s) Open
This investigation is a rigorous theoretical study of the Single Differential Cross Section (SDCS) for the ionization of hydrogen in the 3s state by electron impact computed by means of the First-Born Approximation. The transition matrix h…
View article: Lippmann-Schwinger-Lanczos algorithm for inverse scattering problems with unknown reflectivity and loss distributions: One-dimensional Case
Lippmann-Schwinger-Lanczos algorithm for inverse scattering problems with unknown reflectivity and loss distributions: One-dimensional Case Open
We consider one-dimensional inverse scattering in attenuating media where both the reflectivity and loss distributions are unknown. Mathematically, this corresponds to recovering the coefficients of a damped wave operator, or equivalently,…
View article: Lippmann-Schwinger-Lanczos algorithm for inverse scattering problems with unknown reflectivity and loss distributions: One-dimensional Case
Lippmann-Schwinger-Lanczos algorithm for inverse scattering problems with unknown reflectivity and loss distributions: One-dimensional Case Open
We consider one-dimensional inverse scattering in attenuating media where both the reflectivity and loss distributions are unknown. Mathematically, this corresponds to recovering the coefficients of a damped wave operator, or equivalently,…
View article: The Born approximation for the fixed energy Calderón problem
The Born approximation for the fixed energy Calderón problem Open
The Born approximation of a potential in the context of the Calderón inverse problem is an object that can be formally defined in terms of spectral data of the Dirichlet-to-Neumann map of the corresponding Schrödinger operator. In this art…
View article: Differential ionization cross sections of ethanol by electron impact: Experiment and theoretical analysis
Differential ionization cross sections of ethanol by electron impact: Experiment and theoretical analysis Open
Doubly differential ionization cross sections (DDCSs) of ethanol were measured for incident electron energies ranging from 60 eV to 1 keV, over an angular range of 30 ∘ – 135 ∘ . The energies of the secondary electrons spanned from…
View article: First Born Approximation of the Single Differential Cross Section (SDCS) for Electron Impact Ionization of H(3s)
First Born Approximation of the Single Differential Cross Section (SDCS) for Electron Impact Ionization of H(3s) Open
This investigation is a rigorous theoretical study of the Single Differential Cross Section (SDCS) for the ionization of hydrogen in the 3s state by electron impact computed by means of the First-Born Approximation. The transition matrix h…
View article: First Born Approximation of the Single Differential Cross Section (SDCS) for Electron Impact Ionization of H(3s)
First Born Approximation of the Single Differential Cross Section (SDCS) for Electron Impact Ionization of H(3s) Open
This investigation is a rigorous theoretical study of the Single Differential Cross Section (SDCS) for the ionization of hydrogen in the 3s state by electron impact computed by means of the First-Born Approximation. The transition matrix h…
View article: First Born Approximation of the Single Differential Cross Section (SDCS) for Electron Impact Ionization of H(3s)
First Born Approximation of the Single Differential Cross Section (SDCS) for Electron Impact Ionization of H(3s) Open
This investigation is a rigorous theoretical study of the Single Differential Cross Section (SDCS) for the ionization of hydrogen in the 3s state by electron impact computed by means of the First-Born Approximation. The transition matrix h…
View article: Quantitative assessment of the validity range of radiative transfer approximations of acoustic wave energies in unbounded and bounded random media
Quantitative assessment of the validity range of radiative transfer approximations of acoustic wave energies in unbounded and bounded random media Open
This paper reports a series of numerical experiments comparing solutions of the 3D acoustic wave equation in a (randomly-fluctuating) heterogeneous medium to solutions of the radiative transfer equation. Parameters of the two equations are…
View article: Factorization method for the biharmonic scattering problem for an absorbing penetrable scatterer
Factorization method for the biharmonic scattering problem for an absorbing penetrable scatterer Open
This work extends the factorization method to the inverse scattering problem of reconstructing the shape and location of an absorbing penetrable scatterer embedded in a thin infinite elastic (Kirchhoff--Love) plate. With the assumption tha…
View article: First Born Approximation of the Single Differential Cross Section (SDCS) for Electron Impact Ionization of H(3s)
First Born Approximation of the Single Differential Cross Section (SDCS) for Electron Impact Ionization of H(3s) Open
This investigation is a rigorous theoretical study of the Single Differential Cross Section (SDCS) for the ionization of hydrogen in the 3s state by electron impact computed by means of the First-Born Approximation. The transition matrix h…
View article: Thin-Target Bremsstrahlung Cross Sections
Thin-Target Bremsstrahlung Cross Sections Open
The present software comes with the article Guinchard, Savoye-Peysson, Decker, Screened Thin-Target Bremsstrahlung with Partially-Ionized High-Z Species, PRA, 2025 (submitted).It provides the user with Matlab implementations of doubly-diff…
View article: Thin-Target Bremsstrahlung Cross Sections
Thin-Target Bremsstrahlung Cross Sections Open
The present software comes with the article Guinchard, Savoye-Peysson, Decker, Screened Thin-Target Bremsstrahlung with Partially-Ionized High-Z Species, PRA, 2025 (submitted).It provides the user with Matlab implementations of doubly-diff…
View article: First Born Approximation of the Single Differential Cross Section (SDCS) for Electron Impact Ionization of H(3s)
First Born Approximation of the Single Differential Cross Section (SDCS) for Electron Impact Ionization of H(3s) Open
This investigation is a rigorous theoretical study of the Single Differential Cross Section (SDCS) for the ionization of hydrogen in the 3s state by electron impact computed by means of the First-Born Approximation. The transition matrix h…
View article: Coherent multiple scattering in small-angle scattering experiments: modeling approximations based on the Born expansion
Coherent multiple scattering in small-angle scattering experiments: modeling approximations based on the Born expansion Open
We start from an analytical formulation for the coherent multiple scattering treatment – similar to Mie scattering – for spherical particles. Then, we revisit the Born approximation with an approximation for all higher-order terms. Finally…
View article: Landau-Fokker-Planck equation for hot electrons in semiconductors
Landau-Fokker-Planck equation for hot electrons in semiconductors Open
In this paper we derive the Landau-Fokker-Planck (LFP) equation for the energy distribution function of a nondegenerate hot electrons in bulk semiconductors with strong electron-electron () interaction by the screened Coulomb potential des…
View article: Interaction of protons with nuclei in the Born approximation (I)
Interaction of protons with nuclei in the Born approximation (I) Open
Based on the Born approximation an approach that allows studying the processes of particle-nucleus interaction in the intermediate energy region has been developed. In contrast to the approach, presented in our previous papers, where analy…
View article: On the recovery of two function-valued coefficients in the Helmholtz equation for inverse scattering problems via inverse Born series<sup>*</sup>
On the recovery of two function-valued coefficients in the Helmholtz equation for inverse scattering problems via inverse Born series<sup>*</sup> Open
In this work, we construct the Born and inverse Born approximation and series to recover two function-valued coefficients in the Helmholtz equation for inverse scattering problems from the scattering data at two different wave-numbers. An …
View article: Inelastic scattering of vortex electrons beyond the Born approximation
Inelastic scattering of vortex electrons beyond the Born approximation Open
We present a theoretical study of the inelastic scattering of vortex electrons by a hydrogen atom. In our study, special emphasis is placed on the effects of the Coulomb interaction between a projectile electron and a target atom. To under…
View article: A Neural Network Enhanced Born Approximation for Inverse Scattering
A Neural Network Enhanced Born Approximation for Inverse Scattering Open
Time-harmonic acoustic inverse scattering concerns the ill-posed and nonlinear problem of determining the refractive index of an inaccessible, penetrable scatterer based on far field wave scattering data. When the scattering is weak, the r…
View article: Double Differential Cross Section of First Born for H (3S) by Electron Impact
Double Differential Cross Section of First Born for H (3S) by Electron Impact Open
View article: Some details in analysis of the single charge exchange reaction of <sup>40</sup> Ca( <sup>18</sup> O, <sup>18</sup> F) <sup>40</sup> K
Some details in analysis of the single charge exchange reaction of <sup>40</sup> Ca( <sup>18</sup> O, <sup>18</sup> F) <sup>40</sup> K Open
This work presents a detailed theoretical analysis of the single charge exchange reaction 40 Ca( 18 O, 18 F) 40 K at an incident energy of 275 MeV, with the aim of exploring mechanisms relevant to neutrinoless double beta decay. The contr…
View article: The first applications of the relativistic Second Tamm-Damncoff approximation in doubly-magic nuclei
The first applications of the relativistic Second Tamm-Damncoff approximation in doubly-magic nuclei Open
Understanding nuclear collective excitations and processes relevant for astrophysics requires theoretical frameworks that extend beyond the limitations of the Random Phase Approximation (RPA). The RPA, confined to a simple 1 particle - 1 …
View article: Born Approximation Multi-Resolution Imaging for TEM Pseudo Wavefield Based on Differential Pulse
Born Approximation Multi-Resolution Imaging for TEM Pseudo Wavefield Based on Differential Pulse Open
In this study, to obtain Born approximation multi-resolution imaging for transient electromagnetic (TEM) pseudo wavefield, employing a series of differential pulse with multiple pulse widths as the transmission waveform. First, the spectra…