Although the qualitative aspects of long-range transmission in the deep sea have long been known, little has been reported about its quantitative features, other than travel time, since the pioneering work of Ewing and Worzel nearly 20 years ago. In the present work, standard Navy Sofar bombs, dropped by an aircraft at intervals of about 100 miles between Bermuda and the British Isles, were recorded at Bermuda on hydrophones at various depths. For a Sofar-axis hydrophone and for shots dropped between Bermuda and the Azores, an energy-transmission loss of the form 10 log r0r+ar was found, where r0 is a transition range between spherical and cylindrical spreading and a is an attenuation coefficient. r0 was found to be about 2000 yd, in rough agreement with the hypothesis that the energy carried by a ray bundle becomes diffused throughout the channel width it occupies. The attenuation coefficient was found to be of the form A+Bf, and to be much higher than that caused by absorption alone. The mid-Atlantic ridge produced a loss of 5 and 15 dB for shots at 1500 and 3500 ft. In the absence of this loss, a maximum range of 7000 miles for a 4-lb Sofar bomb would be predicted.