Aladin H. Kamel Scattering of TM waves by an impedance cylinder immersed halfway between two half spaces (181K, Posscript) ABSTRACT. Scattering of TM waves by an impedance cylinder halfway immersed between two half spaces of different electromagnetic properties has been studied. Solutions are obtained from an application of a discrete index of Hankel function transform. Expressions for the fields in both half spaces are given.