Title :
Dyadic Green´s function for a multilayered planar medium-a dyadic eigenfunction approach
Author :
Hanson, George W.
Author_Institution :
Dept. of Electr. Eng., Univ. of Wisconsin-Milwaukee, Milwaukee, WI, USA
Abstract :
A new formulation of the dyadic Green´s function for a planarly layered medium is presented, based on dyadic eigenfunctions of the Green´s function operator. The general development of the dyadic Green´s function is shown, resulting in a three-dimensional purely spectral representation. The spectral form is converted to a Hankel-function form using standard techniques, analogous to the sum-of-residues plus branch-cut representation often obtained from the Sommerfeld Green´s function. Advantages and disadvantages of both the eigenfunction and Hankel function forms are outlined, and compared to other Green´s function representations. Examples of the Green´s dyadic for free space and for a grounded dielectric slab environment are provided, and the role of the continuous and discrete spectrum is discussed.
Keywords :
Green´s function methods; dielectric bodies; dielectric waveguides; eigenvalues and eigenfunctions; electromagnetic fields; inhomogeneous media; waveguide theory; Hankel-function form; Sommerfeld Green´s function; dyadic Green´s function; dyadic eigenfunctions; grounded dielectric slab environment; multilayered planar medium; planarly layered medium; Books; Dielectrics; Differential equations; Eigenvalues and eigenfunctions; Electromagnetic analysis; Electromagnetic waveguides; Fourier transforms; Green´s function methods; Nonhomogeneous media; Slabs; 65; Dyadic; dyadic Green´s function; eigenfunction; layered media; natural modes;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2004.836409