UTD multiple-edge transition zone diffraction

The uniform theory of diffraction (UTD) is applied to multiple absorbing screens, which are in the transition zones near shadow boundaries, The theory includes the application of slope diffraction, which is a first-order effect in transition zone diffraction, By choosing length parameters independently for amplitude and slope diffraction, it is ensured that the solution has continuity of amplitude and slope at each point. The solution is compared with known solutions with good results except when two screens are very near each other.