The theory of enhanced radar attenuation due to nuclear explosions is developed here for radar paths outside the fireball region and for ionization produced by delayed γ rays. The basic equations are discussed, and a number of neglected effects are shown to be small in most cases. Values of parameters entering into the equations are given, and their justification is discussed in detail. It is shown that the radar attenuation can be expressed as a single integral over the radar path. An extensive asymptotic evaluation of the integral is given and is applied to a rough parametric study of the attenuation phenomena. The principal results are given in equations 31, 37, 40, 42, 44, 49, and 50.