Distorted-wave Born approximation in the case of an optical scattering potential

Mytnichenko, S.V.

doi:10.1016/j.physb.2004.10.099

Cited by 5 publications

(3 citation statements)

References 14 publications

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“…Let us perform a unitary transformation Û on a system with potential V , by such a Û that commutes with H 0 . Completely analogously to the lines ( 23)-( 25) and (28)…”

Section: 4]mentioning

confidence: 66%

“…In many works it is simply related to time reversal symmetry [28,29] as was done in the well-known reciprocity theorem of Landau and Lifshitz [30]. The optical reciprocity theorem, however, revealed that absorption, which violates time reversal invariance, conserves reciprocity in polarization independent cases [31], which observation was also expressed in scattering theory [12].…”

Section: Introductionmentioning

confidence: 99%

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Reciprocity in quantum, electromagnetic and other wave scattering

Deák

Fülöp

2012

Annals of Physics

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The reciprocity principle is that, when an emitted wave gets scattered on an object, the scattering transition amplitude does not change if we interchange the source and the detector -in other words, if incoming waves are interchanged with appropriate outgoing ones. Reciprocity is sometimes confused with time reversal invariance, or with invariance under the rotation that interchanges the location of the source and the location of the detector. Actually, reciprocity covers the former as a special case, and is fundamentally different from -but can be usefully combined with -the latter. Reciprocity can be proved as a theorem in many situations and is found violated in other cases. The paper presents a general treatment of reciprocity, discusses important examples, shows applications in the field of photon (Mössbauer) scattering, and establishes a fruitful connection with a recently developing area of mathematics.

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“…Let us perform a unitary transformation Û on a system with potential V , by such a Û that commutes with H 0 . Completely analogously to the lines ( 23)-( 25) and (28)…”

Section: 4]mentioning

confidence: 66%

Section: Introductionmentioning

confidence: 99%

Reciprocity in quantum, electromagnetic and other wave scattering

Deák

Fülöp

2012

Annals of Physics

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“…Conversely, the resonant Mössbauer medium is absorptive and gyrotropic and reciprocity can not be proved to hold in general. 46,59 In fact, the violation of reciprocity in scattering on absorptive and grotropic media is still the subject of both experimental 61,63,64 and theoretical 46,62 works. 60 Nevertheless, for the special case under discussion, when all hyperfine magnetic fields are aligned parallel/antiparallel to the wave vector, one may verify that reciprocity exactly holds.…”

Section: B Lateral Correlation: Domainsmentioning

confidence: 99%

Perturbative theory of grazing-incidence diffuse nuclear resonant scattering of synchrotron radiation

et al. 2007

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Theoretical description of off-specular grazing-incidence nuclear resonant scattering of synchrotron radiation (Synchrotron Mössbauer Reflectometry, SMR) is presented. The recently developed SMR, similarly to polarized neutron reflectometry (PNR), is an analytical tool for the determination of isotopic and magnetic structure of thin films and multilayers. It combines the sensitivity of Mössbauer spectroscopy to hyperfine interactions and the depth selectivity of x-ray reflectometry. Specular reflection provides information on the depth profile, while off-specular scattering on the lateral structure of scattering layers. Off-specular SMR and PNR intensity formulae of a rather general multilayer with different domains, based on a Distorted Incident-Wave Approximation (DIWA) are presented. The Distorted-Wave Born Approximation (DWBA) results are given in an Appendix. Physical and numerical implications, why using DIWA, are explained.The temporal character of SMR imposes specific differences between SMR and PNR. In order to reveal the limits of DIWA and to compare the two analytical methods, two-dimensional diffuse SMR and PNR maps of an antiferromagnetic multilayer are calculated and critically compared.

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Fixed-energy inverse scattering with radial basis function neural networks and its application to neutron–α interactions

Balassa

2023

Progress of Theoretical and Experimental Physics

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This paper proposes a data-driven method to solve the fixed-energy inverse scattering problem for radially symmetric potentials with radial basis function (RBF) neural networks in an open-loop control system. The method estimates the scattering potentials in the Fourier domain by training an appropriate number of RBF networks, while the control step is carried out in the coordinate-space by using the measured phase shifts as control parameters. The system is trained by both finite and singular input potentials, and is capable to model a great variety of scattering events. The method is applied to neutron-α scattering at 10 MeV incident neutron energy, where the underlying central part of the potential is estimated by using the measured l = 0, 1, 2 phase shifts as inputs. The obtained potential is physically sensible and the recalculated phase shifts are within a few percent relative error.

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Distorted-wave Born approximation in the case of an optical scattering potential

Cited by 5 publications

References 14 publications

Reciprocity in quantum, electromagnetic and other wave scattering

Reciprocity in quantum, electromagnetic and other wave scattering

Perturbative theory of grazing-incidence diffuse nuclear resonant scattering of synchrotron radiation

Fixed-energy inverse scattering with radial basis function neural networks and its application to neutron–α interactions

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