Green's-Function Approach to Inverse Compton Scattering

Patrick S. Yeung; Robert L. Brown

doi:10.1103/PhysRevD.8.4286

Access by Xinjiang University

Green's-Function Approach to Inverse Compton Scattering

Patrick S. Yeung^*

Robert L. Brown^†

Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540

National Radio Astronomy Observatory, Green Bank, West Virginia

^*Work performed at the National Radio Astronomy Observatory under the auspices of the 1972 Summer Assistantship Program. Present address: Physics Department, Massachusetts Institute of Technology.
^†Operated by Associated Universities, Inc., under contract with the National Science Foundation.

PDF

Phys. Rev. D 8, 4286 – Published 15 December, 1973

DOI: https://doi.org/10.1103/PhysRevD.8.4286

Abstract

The emission, absorption, and transfer of radiation produced through the Compton interaction of relativistic electrons with microwave photons in a homogeneous source is considered. It is shown that the intensity of Compton-scattered radiation can be conveniently expressed in terms of a Green's function, and this enables the radiation-transfer problem for arbitrarily many scatterings to be formalized in terms of a series of appropriately defined scattering vertex functions and absorption propagators. A rigorous discussion of the cross section for inverse Compton scattering is presented which is valid both in the extreme relativistic ( $γ ≫ 1$ ) and weakly relativistic limits ( $γ ≃ 1$ ). Using these results the spectral behavior of the intensity of Compton-scattered radiation is evaluated explicitly for once- and twice-scattered photons; the qualitative features of the multiple-scattering problem are described. At sufficiently high frequencies the spectral behavior of the first- and all higher-order scatterings is the same.

References (15)

E. Feenberg and H. Primakoff, Phys. Rev. 73, 449 (1948)
V. L. Ginzburg and S. I. Syrovatsky, Zh. Eksp. Teor. Fiz. 46, 1865 (1964) [Sov. Phys.-JETP 19, 1255 (1964)]
J. E. Felten and P. Morrison, Astrophys. J. 146, 686 (1966)
F. C. Jones, Phys. Rev. 167, 1159 (1968)
G. R. Blumenthal and R. J. Gould, Rev. Mod. Phys. 42, 237 (1970)
A. G. Pacholczyk, Radio Astrophysics (Freeman, San Francisco, 1970)
I. Lerche, Phys. Fluids 11, 2459 (1968)
I. Lerche, Astrophys. J. 153, 615 (1968)
I. Lerche, Astrophys. J. 166, 311 (1971)
K. Papadopoulos, Phys. Fluids 12, 2185 (1969)
K. Papadopoulos and I. Lerche, Astrophys. J. 158, 981 (1969)
R. Hagedorn, Relativistic Kinematics (Benjamin, New York, 1963)
D. A. Tidman and T. H. Dupree, Phys. Fluids 8, 1860 (1965)
H. M. Skarsgard, I. Stoll, and A. C. C. Warnock, Phys. Rev. Lett. 23, 1023 (1969)
G. Bekefi, Radiation Processes in Plasmas (Wiley, New York, 1966)

[c1] E. Feenberg and H. Primakoff, Phys. Rev. 73, 449 (1948)

[c2] V. L. Ginzburg and S. I. Syrovatsky, Zh. Eksp. Teor. Fiz. 46, 1865 (1964) [Sov. Phys.-JETP 19, 1255 (1964)]

[c3] J. E. Felten and P. Morrison, Astrophys. J. 146, 686 (1966)

[c4] F. C. Jones, Phys. Rev. 167, 1159 (1968)

[c5] G. R. Blumenthal and R. J. Gould, Rev. Mod. Phys. 42, 237 (1970)

[c6] A. G. Pacholczyk, Radio Astrophysics (Freeman, San Francisco, 1970)

[c7] I. Lerche, Phys. Fluids 11, 2459 (1968)

[c8] I. Lerche, Astrophys. J. 153, 615 (1968)

[c9] I. Lerche, Astrophys. J. 166, 311 (1971)

[c10] K. Papadopoulos, Phys. Fluids 12, 2185 (1969)

[c11] K. Papadopoulos and I. Lerche, Astrophys. J. 158, 981 (1969)

[c12] R. Hagedorn, Relativistic Kinematics (Benjamin, New York, 1963)

[c13] D. A. Tidman and T. H. Dupree, Phys. Fluids 8, 1860 (1965)

[c14] H. M. Skarsgard, I. Stoll, and A. C. C. Warnock, Phys. Rev. Lett. 23, 1023 (1969)

[c15] G. Bekefi, Radiation Processes in Plasmas (Wiley, New York, 1966)

Physical Review D

Export citation

Export citation

Green's-Function Approach to Inverse Compton Scattering

Abstract

References (15)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation