“…To simulate the effect of the intensities of both the modulating and signal beams, we consider the ppR molecules exposed to light beams of intensities and , which modulate the population densities of different intermediate states through the excitation and de-excitation processes. These can be described by the rate equations in the following form [14], [22]- [24]: for to (1) where , to 7 represents the population densities of ppR, pR , pR , pR , pR , pR , and pR states, respectively; and are the absorption cross sections and rate constants of respective states; subscript denotes the value at signal wavelength; and is the quantum efficiency for the pR pR transition [19]. and are the photon density fluxes of the modulating laser and signal beams, respectively, i.e., ratio of the intensity to the photon energy at respective wavelengths.…”