This paper presents a theoretical analysis of a possible scheme to realize a strong population difference between the two ground state sub-levels F = 4, MF = 0, and F = 3, MF = 0 of caesium atom. Two laser-diode light beams, π polarized, are used to illuminate at right angle an atomic beam. The efficiency of the population difference build up is evaluated for two limiting cases according to the light spectral distribution : the monochromatic and broadband excitations. This analysis takes into account hyperfine and Zeeman structures of the energy levels. Numerical calculations show that the monochromatic excitation leads to steady state population difference close to the value obtained with a single pumping laser; however all the atoms can be brought in the upper level if the two laser lights are considered broadband and uncorrelated Guidelines are derived to obtain an efficient optically pumped caesium beam frequency standard.
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