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Spectrum formula of the synchrotron radiation from a quasiperiodic undulator

Masaru Takao and Shigemi Sasaki

Shinya Hashimoto

  • Japan Atomic Energy Research Institute-RIKEN, Spring-8 Project Team, Kamigori, Ako-gun, Hyogo 678-12, Japan

  • Japan Synchrotron Radiation Research Institute (JASRI), Kamigori, Ako-gun, Hyogo 678-12, Japan

Phys. Rev. E 52, 5454 – Published 1 November, 1995

DOI: https://doi.org/10.1103/PhysRevE.52.5454

Abstract

Recently, two of the present authors [S. Hashimoto and S. Sasaki, Nucl. Instrum. Methods 361, 611 (1995)] introduced the concept of a class of undulators, a quasiperiodic array of magnet poles, to discriminate the rational higher harmonics of radiation that are harmful in some synchrotron experiments. In this paper details of structural properties of radiation from a quasiperiodic undulator are developed. The analytic expression for the spectrum enables a clear understanding of the radiation from the quasiperiodic undulator with irrationally factored energies as to (i) peak positions in spectrum and (ii) peak intensities.

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