The electromagnetic fields of elliptical torus knots

The electromagnetic radiation and scattering properties of thin perfectly c onducting knotted wires are investigated in this paper, A particular class of knots, which we call elliptical torus knots, are introduced for the purp oses of this investigation. These knots derive their name from the fact tha t they may be constructed on the surface of a virtual torus which has an el liptical cross section. The parameterizations which describe the curves of these knots are more general than any which have been considered in previou s studies and, therefore, provide more flexibility in the design of knotted wire scatterers. A moment method technique is applied to model the backsca ttering from an elliptical trefoil knot as a function of frequency, polariz ation, and incidence angle.