Impulse response of transition zone diffraction on many convex obstacles in cascade

The paper presents the derivation of a 2D time-domain model of two bare conducting convex obstacles for the case of UWB baseband signal propagation. The model includes amplitude diffraction and first order transition zone diffraction, called the slope diffraction. The considered model is represented by its impulse response. Thanks to the introduction of some vital approximations of the expressions occurring in amplitude term and slope term of the impulse response, it can be given in a closed form. The presented approach is extended for the case of more than two cascaded convex obstacles in the channel. The Uniform Theory of Diffraction (UTD) formulated in the frequency domain is used in the derivation of the model. The correctness and accuracy of the derived model is verified by simulation of an Ultra Wide Band (UWB) pulse distortion.