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We study the origin of dichroic effects in elastic scattering of high energyelectrons by hydrogen atoms in the presence of a two-color bicircular laserfield of commensurate frequencies, in the domain of moderate intensities below10 TW/cm2 . We use a semiperturbative approach in which the interaction of thehydrogen atom with the laser field is treated in second-order perturbationtheory, while the interaction of the projectile electron with the laser fieldis described by Gordon- Volkov wave functions. An analytical formula ofcircular dichroism in the angular distribution of scattered electrons isderived in the weak-field domain for a two-color laser field that is acombination of the fundamental and its third harmonic. A comparison between thetwo-photon differential cross sections for two-color co- and counterrotatingcircularly polarized laser fields is made and the effect of the intensity ratioof the monochromatic field components on the circular dichroism isinvestigated. The dichroic effect in the angular distribution of scatteredelectrons for two-photon absorption is analyzed as a function of the scatteringand azimuthal angles. We show that the two-color bicircular laser field caninduce a strong circular dichroism in the angular distribution of scatteredelectrons at small scattering angles where the atomic dressing effects areimportant, as well at larger scattering angles. At small scattering angles wedemonstrate that the dichroic effect for two-photon transitions can bepredicted under the following conditions: the scattering process is treated infist-order Born approximation and the dressing of the atomic states by thelaser field is carried out at least in first-order time-dependent perturbationtheory.

Circular dichroism in angular distribution of electron-hydrogen scattering in a two-color bicircular laser field