Multiple-scattering effects in mean-lifetime experiments by blocking technique

1972 ◽  
Vol 10 (2) ◽  
pp. 177-188 ◽  
Author(s):  
E. Fuschini ◽  
F. Malaguti ◽  
C. Maroni ◽  
I. Massa ◽  
A. Uguzzoni ◽  
...  
Keyword(s):  
Multiple Scattering ◽  
Scattering Effects ◽  
Mean Lifetime ◽  
Multiple Scattering Effects

MULTIPLE SCATTERING EFFECTS IN THE COBALT K-EDGE EXAFS OF METAL CARBONYL COMPLEXES

1986 ◽  
Vol 47 (C8) ◽  
pp. C8-589-C8-592
Author(s):  
N. BINSTED ◽  
S. L. COOK ◽  
J. EVANS ◽  
R. J. PRICE ◽  
G. N. GREAVES
Keyword(s):  
Multiple Scattering ◽  
Metal Carbonyl ◽  
Carbonyl Complexes ◽  
Metal Carbonyl Complexes ◽  
Scattering Effects ◽  
Multiple Scattering Effects

Impact of cirrus cloud ice crystal shape and size on multiple scattering effects: Application to spaceborne and airborne backscatter lidar measurements during LITE Mission and E LITE Campaign

1999 ◽  
Vol 26 (14) ◽  
pp. 2203-2206 ◽  
Author(s):  
Hélène Chepfer ◽  
Jacques Pelon ◽  
Gérard Brogniez ◽  
Cyrille Flamant ◽  
Vincent Trouillet ◽  
...  
Keyword(s):  
Multiple Scattering ◽  
Cirrus Cloud ◽  
Crystal Shape ◽  
Ice Crystal ◽  
Scattering Effects ◽  
Lidar Measurements ◽  
Cloud Ice ◽  
Multiple Scattering Effects ◽  
Shape And Size

Multiple-scattering effects in lidar spectroscopy

1996 ◽  
Author(s):  
Brad D. Joelson ◽  
George W. Kattawar
Keyword(s):  
Multiple Scattering ◽  
Scattering Effects ◽  
Multiple Scattering Effects

scholarly journals Multiple scattering effects in proton nucleus elastic scattering at intermediate energies

1991 ◽  
Vol 44 (5) ◽  
pp. R1735-R1739 ◽  
Author(s):  
R. Crespo ◽  
R. C. Johnson ◽  
J. A. Tostevin
Keyword(s):  
Elastic Scattering ◽  
Multiple Scattering ◽  
Intermediate Energies ◽  
Scattering Effects ◽  
Multiple Scattering Effects

scholarly journals Cramér-Rao Bound Study of Multiple Scattering Effects in Target Separation Estimation

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Edwin A. Marengo ◽  
Paul Berestesky
Keyword(s):  
Multiple Scattering ◽  
Born Approximation ◽  
Single Scattering ◽  
Scattering Data ◽  
Approximation Model ◽  
Scattering Parameters ◽  
Helmholtz Operator ◽  
Scattering Effects ◽  
Cramer Rao Bound ◽  
Multiple Scattering Effects

The information about the distance of separation between two-point targets that is contained in scattering data is explored in the context of the scalar Helmholtz operator via the Fisher information and associated Cramér-Rao bound (CRB) relevant to unbiased target separation estimation. The CRB results are obtained for the exact multiple scattering model and, for reference, also for the single scattering or Born approximation model applicable to weak scatterers. The effects of the sensing configuration and the scattering parameters in target separation estimation are analyzed. Conditions under which the targets' separation cannot be estimated are discussed for both models. Conditions for multiple scattering to be useful or detrimental to target separation estimation are discussed and illustrated.

An assessment of multiple-scattering effects in Auger-electron diffraction and photoelectron diffraction

1990 ◽  
Vol 41 (6) ◽  
pp. 948-952 ◽  
Author(s):  
A P Kaduwela ◽  
G S Herman ◽  
D J Friedman ◽  
C S Fadley ◽  
J J Rehr
Keyword(s):  
Electron Diffraction ◽  
Multiple Scattering ◽  
Auger Electron ◽  
Photoelectron Diffraction ◽  
Scattering Effects ◽  
Multiple Scattering Effects

scholarly journals Electromagnetic scattering beyond the weak regime: Solving the problem of divergent Born perturbation series by Padé approximants

2020 ◽  
Vol 238 ◽  
pp. 06019
Author(s):  
Thomas van der Sijs ◽  
Omar El Gawhary ◽  
Paul Urbach
Keyword(s):  
Inverse Problem ◽  
Multiple Scattering ◽  
Padé Approximants ◽  
Perturbation Approach ◽  
Pade Approximants ◽  
Born Series ◽  
Scattering Effects ◽  
Weak Scattering ◽  
Strong Scattering ◽  
Multiple Scattering Effects

Electromagnetic scattering is the main phenomenon behind all optical measurement methods where one aims to retrieve the shape or physical properties of an unknown object by measuring how it scatters an incident optical field. Such an inverse problem is often approached by solving, several times, the corresponding direct scattering problem and trying to find the best estimate of the object which is compatible with a set of measurements. In the direct scattering problem, two regimes can be distinguished depending on the size of the object and the permittivity contrast: the weak-scattering regime and the strong-scattering regime. Generally, the presence of the scatterer alters the form of the incident field inside the scatterer. If that effect is neglected in the physical model, then one speaks of the so-called single-scattering regime or, more often, the Born approximation. The regime in which this approximation is valid is the weak-scattering regime. The corresponding inverse problem, that aims to retrieve the object from scattering data, becomes linear in this case. Linearizing the problem simplifies the method to solve it, but also introduces limitations to the maximum spatial resolution achievable in the reconstruction of the object. In the strong-scattering regime, multiple-scattering effects are not neglected and the inverse problem is treated in its full non-linear nature, which makes finding its solution a far more challenging task. Despite the existence of numerical methods, a powerful way to solve those direct problems would be to use a perturbation approach where the field is expressed as a series, known as the Born series. The advantage of a perturbation approach stems from the fact that each term of the series has a clear physical meaning and can unveil much more about the scattering process than a purely numerical approach can offer. Unfortunately, the series solution turns out to be strongly divergent in the strong-scattering regime, making it an unpractical approach for problems under these strong-scattering conditions. Thus, despite the fact that multiple scattering could, in principle, allow resolving sub-wavelength details of the unknown object, this possibility is in practice hampered by the divergent nature of the higher-order terms of the Born series. In this work, we show how to solve this problem by employing Padé approximants and how to treat electromagnetic problems well beyond the weak-scattering regime and provide an accurate evaluation of the scattered field even under strong-scattering conditions. Padé approximants are rational functions that can offer improvements in two ways, namely series acceleration of converging series and analytic continuation of a series outside its region of convergence. In the case of a symmetric approximant of order N, the approximant is calculated from 2N + 1 terms in the Born series, therefore incorporating multiple-scattering effects to which these higher-order corrections in the Born series correspond. We apply the method to two scalar scattering problems: that of a one-dimensional slab and that of an infinitely long cylinder, which reduces to a two-dimensional problem under normal incidence. In particular, we treat cases in the strong-scattering regime where the Born series diverges, but where Padé approximation retrieves a valuable result. In Fig. 1 the case of a cylinder is shown which is well beyond the weak-scattering regime, but where the most accurate Padé approximant gives a good result for the field. The presented approach incorporates multiple-scattering effects and can therefore represent an important building block to the application of the Born series to direct and inverse problems, with potential applications in superresolution, optical metrology, and phase retrieval.

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