Abstract

The variation in the power radiated by electrons in a circular orbit through an aperture was investigated numerically as a function of the distance along a tangent to the orbital ring. For electron energies above 0.1 GeV, the power radiated into a rectangular aperture, placed at a distance greater than the radius of curvature of the orbit, does not differ by more than 4 parts in 10<sup>6</sup> from the power radiated into a similarly sized rectangular aperture (subtending the same solid angle) placed at a large distance from the orbital ring. Our conclusion is that, within the limits considered, synchrotron radiation can be calculated accurately for practical radiometric calibrations.

© 1982 Optical Society of America

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  1. D. L. Ederer, E. B. Saloman, S. C. Ebner, and R. P. Madden, "The use of synchrotron radiation as an absolute source of VUV radiation," J. Res. Nat. Bur. Stand. 79A, 761–774 (1975).
  2. G. A. Schott, "On the radiation from groups of electrons," Ann. Phys. (Leipzig) 24, 635–660 (1907).
  3. G. A. Schott, Electromagnetic Radiation (Cambridge U. Press, London, 1912), p. 330.
  4. D. Ivanenko and A. A. Sokolov, "On the theory of the radiating electron," Dok. Akad. Nauk SSSR 59, 1551–1554 (1948).
  5. J. Schwinger, "On the classical radiation of accelerated electrons," Phys. Rev. 75, 1912–1915 (1949).
  6. A. A. Sokolov and I. M. Ternov, Synchrotron Radiation (Pergamon, Oxford, 1968).
  7. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975), pp. 654–679.
  8. J. S. Risley, A. McPherson, and W. B. Westerveld, "Use of a scaling relationship for synchrotron radiation," Phys. Rev. A 24, 3255–3260 (1981).
  9. W. B. Westerveld, A. McPherson, and J. S. Risley, "Synchrotron radiation intensity for 50 MeV to 50 GeV electrons," At. Data Nucl. Data Tables (to be published).
  10. Reduced parameters are extremely useful for synchrotron radiation. By using the reduced parameter λ¯ = λ/λc, and Ψ¯= , one can write scaling relationships of the form IE(λ, Ψ) = 2I(λ¯). Thus, if one table of the universal intensity function (λ¯,Ψ¯) is available for a large range of λ¯ and Ψ¯, one can scale the results and produce a table for the intensity function IE (λ, Ψ) for any electron energy (see Refs. 8 and 9).
  11. H. Winick, Synchrotron Radiation Research, H. Winick and S. Doniach, eds. (Plenum, New York, 1980), pp. 11–25.
  12. D. Einfeld, "Use of synchrotron radiation as an absolute standard," presented at Sixth International Conference on Vacuum Ultraviolet Radiation Physics, Charlottesville, Virginia, 1980.

1981 (1)

J. S. Risley, A. McPherson, and W. B. Westerveld, "Use of a scaling relationship for synchrotron radiation," Phys. Rev. A 24, 3255–3260 (1981).

1975 (1)

D. L. Ederer, E. B. Saloman, S. C. Ebner, and R. P. Madden, "The use of synchrotron radiation as an absolute source of VUV radiation," J. Res. Nat. Bur. Stand. 79A, 761–774 (1975).

1949 (1)

J. Schwinger, "On the classical radiation of accelerated electrons," Phys. Rev. 75, 1912–1915 (1949).

1948 (1)

D. Ivanenko and A. A. Sokolov, "On the theory of the radiating electron," Dok. Akad. Nauk SSSR 59, 1551–1554 (1948).

1907 (1)

G. A. Schott, "On the radiation from groups of electrons," Ann. Phys. (Leipzig) 24, 635–660 (1907).

Ebner, S. C.

D. L. Ederer, E. B. Saloman, S. C. Ebner, and R. P. Madden, "The use of synchrotron radiation as an absolute source of VUV radiation," J. Res. Nat. Bur. Stand. 79A, 761–774 (1975).

Ederer, D. L.

D. L. Ederer, E. B. Saloman, S. C. Ebner, and R. P. Madden, "The use of synchrotron radiation as an absolute source of VUV radiation," J. Res. Nat. Bur. Stand. 79A, 761–774 (1975).

Einfeld, D.

D. Einfeld, "Use of synchrotron radiation as an absolute standard," presented at Sixth International Conference on Vacuum Ultraviolet Radiation Physics, Charlottesville, Virginia, 1980.

Ivanenko, D.

D. Ivanenko and A. A. Sokolov, "On the theory of the radiating electron," Dok. Akad. Nauk SSSR 59, 1551–1554 (1948).

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975), pp. 654–679.

Madden, R. P.

D. L. Ederer, E. B. Saloman, S. C. Ebner, and R. P. Madden, "The use of synchrotron radiation as an absolute source of VUV radiation," J. Res. Nat. Bur. Stand. 79A, 761–774 (1975).

McPherson, A.

J. S. Risley, A. McPherson, and W. B. Westerveld, "Use of a scaling relationship for synchrotron radiation," Phys. Rev. A 24, 3255–3260 (1981).

W. B. Westerveld, A. McPherson, and J. S. Risley, "Synchrotron radiation intensity for 50 MeV to 50 GeV electrons," At. Data Nucl. Data Tables (to be published).

Risley, J. S.

J. S. Risley, A. McPherson, and W. B. Westerveld, "Use of a scaling relationship for synchrotron radiation," Phys. Rev. A 24, 3255–3260 (1981).

W. B. Westerveld, A. McPherson, and J. S. Risley, "Synchrotron radiation intensity for 50 MeV to 50 GeV electrons," At. Data Nucl. Data Tables (to be published).

Saloman, E. B.

D. L. Ederer, E. B. Saloman, S. C. Ebner, and R. P. Madden, "The use of synchrotron radiation as an absolute source of VUV radiation," J. Res. Nat. Bur. Stand. 79A, 761–774 (1975).

Schott, G. A.

G. A. Schott, "On the radiation from groups of electrons," Ann. Phys. (Leipzig) 24, 635–660 (1907).

G. A. Schott, Electromagnetic Radiation (Cambridge U. Press, London, 1912), p. 330.

Schwinger, J.

J. Schwinger, "On the classical radiation of accelerated electrons," Phys. Rev. 75, 1912–1915 (1949).

Sokolov, A. A.

D. Ivanenko and A. A. Sokolov, "On the theory of the radiating electron," Dok. Akad. Nauk SSSR 59, 1551–1554 (1948).

A. A. Sokolov and I. M. Ternov, Synchrotron Radiation (Pergamon, Oxford, 1968).

Ternov, I. M.

A. A. Sokolov and I. M. Ternov, Synchrotron Radiation (Pergamon, Oxford, 1968).

Westerveld, W. B.

J. S. Risley, A. McPherson, and W. B. Westerveld, "Use of a scaling relationship for synchrotron radiation," Phys. Rev. A 24, 3255–3260 (1981).

W. B. Westerveld, A. McPherson, and J. S. Risley, "Synchrotron radiation intensity for 50 MeV to 50 GeV electrons," At. Data Nucl. Data Tables (to be published).

Winick, H.

H. Winick, Synchrotron Radiation Research, H. Winick and S. Doniach, eds. (Plenum, New York, 1980), pp. 11–25.

Ann. Phys. (1)

G. A. Schott, "On the radiation from groups of electrons," Ann. Phys. (Leipzig) 24, 635–660 (1907).

Dok. Akad. Nauk SSSR (1)

D. Ivanenko and A. A. Sokolov, "On the theory of the radiating electron," Dok. Akad. Nauk SSSR 59, 1551–1554 (1948).

J. Res. Nat. Bur. Stand. (1)

D. L. Ederer, E. B. Saloman, S. C. Ebner, and R. P. Madden, "The use of synchrotron radiation as an absolute source of VUV radiation," J. Res. Nat. Bur. Stand. 79A, 761–774 (1975).

Phys. Rev. (1)

J. Schwinger, "On the classical radiation of accelerated electrons," Phys. Rev. 75, 1912–1915 (1949).

Phys. Rev. A (1)

J. S. Risley, A. McPherson, and W. B. Westerveld, "Use of a scaling relationship for synchrotron radiation," Phys. Rev. A 24, 3255–3260 (1981).

Other (7)

W. B. Westerveld, A. McPherson, and J. S. Risley, "Synchrotron radiation intensity for 50 MeV to 50 GeV electrons," At. Data Nucl. Data Tables (to be published).

Reduced parameters are extremely useful for synchrotron radiation. By using the reduced parameter λ¯ = λ/λc, and Ψ¯= , one can write scaling relationships of the form IE(λ, Ψ) = 2I(λ¯). Thus, if one table of the universal intensity function (λ¯,Ψ¯) is available for a large range of λ¯ and Ψ¯, one can scale the results and produce a table for the intensity function IE (λ, Ψ) for any electron energy (see Refs. 8 and 9).

H. Winick, Synchrotron Radiation Research, H. Winick and S. Doniach, eds. (Plenum, New York, 1980), pp. 11–25.

D. Einfeld, "Use of synchrotron radiation as an absolute standard," presented at Sixth International Conference on Vacuum Ultraviolet Radiation Physics, Charlottesville, Virginia, 1980.

A. A. Sokolov and I. M. Ternov, Synchrotron Radiation (Pergamon, Oxford, 1968).

J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975), pp. 654–679.

G. A. Schott, Electromagnetic Radiation (Cambridge U. Press, London, 1912), p. 330.

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