Wikipedia said:An external electromagnetic field will affect an atom's state - changing the quantum mechanical variables mentioned above. Specifically, the atom will act like a small electric dipole which will oscillate with the external field. One of the consequences of this oscillation is that it encourages electrons to decay to the lowest energy state. When this happens due to the presence of the electromagnetic field from a photon, a photon is released in the same phase and direction as the "stimulating" photon, and is called stimulated emission.
I did not quite understand the "stimulation" part. How does the photon coming near the excited atom force this atom to emit another, identical (from the physical properties point of view) photon? More precisely, how do the stimulating photon and the atom interact?