A theory of double-pulse photodetachment spectra in the presence of time dependent field has been developed. We derived a general formula for the total population generated by the double-pulse laser applying the time dependent closed orbit theory. We analyzed the double-pulse spectra for H− in the presence of constant electric field superposed with a sinusoidal time dependent field. The effects of the amplitude of time dependent field and laser parameters have been investigated. It has been shown that the population has peak or valley when the time delay between the two pulses of the double-pulse laser is equal to the time of the closed orbit emanating at the peak of the first pulse of the double-pulse laser. We also shown that the laser phase parameter modulates the population.