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Recently various laser-chirping schemes have been investigated with the goalof reducing or eliminating ponderomotive line broadening in Compton or Thomsonscattering occurring at high laser intensities. As a next level of detail inthe spectrum calculations, we have calculated the line smoothing and broadeningexpected due to incident beam energy spread within a one-dimensional plane wavemodel for the incident laser pulse, both for compensated (chirped) andunchirped cases. The scattered compensated distributions are treatableanalytically within three models for the envelope of the incident laser pulses:Gaussian, Lorentzian, or hyperbolic secant. We use the new results todemonstrate that the laser chirping in Compton sources at high laserintensities: (i) enables the use of higher order harmonics, thereby reducingthe required electron beam energies; and (ii) increases the photon yield in asmall frequency band beyond that possible with the fundamental withoutchirping. This combination of chirping and higher harmonics can lead tosubstantial savings in the design, construction and operational costs of thenew Compton sources. This is of particular importance to the the widely popularlaser-plasma accelerator based Compton sources, as the improvement in theirbeam quality enters the regime where chirping is most effective.

Combining Harmonic Generation and Laser Chirping to Achieve High Spectral Density in Compton Sources