Rayleigh Scattering Elastic Photon Scattering By Bound Electrons

Kissel, Lynn; Pratt, R. H.

doi:10.1007/978-1-4613-2417-1_11

Cited by 19 publications

(19 citation statements)

References 103 publications

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“…The required multipole expansions of Ii and the specification of the radial perturbed orbitals has been discussed by Kissel (1977). Finally, all the angular dependence on the photon scattering angle is written in terms of the associated Legendre functions and all the energy dependence is written in terms of multipole amplitudes.…”

Section: Scattering Matrix Formalismmentioning

confidence: 99%

“…Rather, Kissel (1977) expressed the solution as the linear sum of two solutions of the inhomogeneous equation, one regular at the origin and the other regular at infinity.…”

Section: Scattering Matrix Formalismmentioning

confidence: 99%

“…To reduce the computer time Kissel and Pratt (1985) used the S-matrix formalism for the inner subshellS and estimates for the outer shell contributions based on the modified form factor approach. A recent tabulation of modified relativistic form factors has been presented by Schaupp et al (1983).…”

Section: Scattering Matrix Formalismmentioning

confidence: 99%

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Recent Advances in the Calculation and Measurement of the X-ray Dispersion Corrections

Creagh¹

1988

Aust. J. Phys.

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Section: Scattering Matrix Formalismmentioning

confidence: 99%

“…Rather, Kissel (1977) expressed the solution as the linear sum of two solutions of the inhomogeneous equation, one regular at the origin and the other regular at infinity.…”

Section: Scattering Matrix Formalismmentioning

confidence: 99%

See 1 more Smart Citation

Recent Advances in the Calculation and Measurement of the X-ray Dispersion Corrections

Creagh¹

1988

Aust. J. Phys.

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“…Although this aspect has been discussed thoroughly in a number of texts [see e.g. James (1955) and Warren (1969) and the review articles by Gavrila (1981) and Kissel and Pratt (1983)] a brief resume of its more important notions will be given here because the proper assessment of modem theories and experimental techniques depends on a correct understanding of these earlier definitions.…”

Section: Theories Concerning the Anomalous Scattering Of Photons By Imentioning

confidence: 99%

“…For the most part, however, theoreticians have concentrated on calculations of cross sections of atoms such as uranium, lead and aluminium. Reference to this rather fragmented work is to be found in the review articles of Gavrila (1981) and Kissel and Pratt (1983). Three theoretical data sets are frequently referred to in papers.…”

Section: (C) Relativistic Quantum Mechanical Model For Scattering Of mentioning

confidence: 99%

Theoretical and Experimental Techniques for the Determination of X-ray Anomalous Dispersion Corrections

Creagh¹

1985

Aust. J. Phys.

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Aust. J. Phys., 1985,38, 371-404 Theoretical and experimental techniques for the determination of the X-ray anomalous dispersion corrections f'(w, LI) and fl/(w, LI) are discussed. The results of experiments on metallic, ionic and covalently bonded materials typified by copper and nickel, lithium fluoride, and silicon respectively are compared with the theoretical predictions. Attention is drawn to deficiencies in both the experimental and the theoretical approaches.

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Resonant Scattering of Plane‐Wave and Twisted Photons at the Gamma Factory

2021

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A theoretical investigation of the resonant elastic scattering of laser photons by ultra‐relativistic partially stripped ions, that is the core process of the Gamma Factory project, is presented. Special emphasis in the study is placed on the angular distribution and polarization of scattered photons as observed in the collider and ion‐rest reference frames. In order to describe these (angular and polarization) properties for arbitrary relativistic many‐electron ion, the general approach, based on the application of irreducible polarization tensors, is laid down. By making use of the polarization tensors, the scattering of both conventional plane‐wave‐ and twisted (or vortex) photons is explored in detail. For the former case, it is shown how the propagation directions and polarization states of incident and outgoing photons are related to each other for the nS0→n′P1→nS0$n S_{0} \rightarrow n^{\prime } P_{1} \rightarrow n S_{0}$, nS1/2→n′P1/2→nS1/2$n S_{1/2} \rightarrow n^{\prime } P_{1/2} \rightarrow n S_{1/2}$, and nS1/2→n′P3/2→nS1/2$n S_{1/2} \rightarrow n^{\prime } P_{3/2} \rightarrow n S_{1/2}$ resonant transitions. For the scattering of initially twisted light that carries non‐zero orbital angular momentum, the angular distribution of secondary photons is explored and the conditions under which they are also twisted are discussed.

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Rayleigh Scattering Elastic Photon Scattering By Bound Electrons

Cited by 19 publications

References 103 publications

Recent Advances in the Calculation and Measurement of the X-ray Dispersion Corrections

Recent Advances in the Calculation and Measurement of the X-ray Dispersion Corrections

Theoretical and Experimental Techniques for the Determination of X-ray Anomalous Dispersion Corrections

Resonant Scattering of Plane‐Wave and Twisted Photons at the Gamma Factory

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