Frequency-domain analysis of the mode-locked and frequency-doubled homogeneous laser

A frequency-domain analysis of the mode-locked intracavity frequency-doubled laser is pursued. An expression for pulse-width is derived based upon basic laser parameters and the nonlinear coupling of the frequency doubler. It is found that mode locking induces an additional loss to the cavity even in the ideal case, so that the frequency-doubled output power at optimum coupling is less than an optimally coupled fundamental frequency laser with identical losses.