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Small Signal BI-Period Harmonic Undulator Free Electron Laser

By Ganeswar Mishra, Avani Sharma, and Saif Md Khan
Progress In Electromagnetics Research C, Vol. 105, 217-227, 2020


In this paper, we discuss the spectral property of radiation of an electron moving in a bi-period harmonic undulator field with a phase between the primary undulator field and the harmonic field component. We derive the expression for the photons per second per mrad2 per 0.1% BW of the radiation. A small signal gain analysis is also discussed highlighting this feature of the radiation. A bi-period index parameter, i.e., Λ is introduced in the calculation. According to the value of the index parameter, the scheme can operate as one period or bi-period undulator. It is shown that when Λ = π, the device operates at the fundamental and the third harmonic. However, when Λ = π/2, it is possible to eliminate the third harmonic.


Ganeswar Mishra, Avani Sharma, and Saif Md Khan, "Small Signal BI-Period Harmonic Undulator Free Electron Laser," Progress In Electromagnetics Research C, Vol. 105, 217-227, 2020.


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