Title :
A High-Resolution Z-Transform Tensor Formulation of the FDTD Method
Author :
Sullivan, Dennis M. ; Nadobny, Jacek
Author_Institution :
Idaho Univ., Moscow
Abstract :
A high-resolution FDTD formulation is presented by using a tensor formulation and Z transforms. This method is particularly effective in media with different types of material that vary rapidly. The method is implemented while maintaining the cubic structure of the FDTD paradigm and is applicable for lossless and lossy media. This is accomplished by a 3 x 3 matrix equation to relate the E field to the flux density, a formulation we refer to as the tensor FDTD (TFDTD) method. Z transforms are used for the transformation from the frequency domain to the sample time-domain.
Keywords :
Z transforms; finite difference time-domain analysis; matrix algebra; tensors; FDTD method; cubic structure; flux density; high-resolution Z-transform tensor formulation; lossless media; lossy media; matrix equation; Dielectrics; Equations; Finite difference methods; Frequency domain analysis; Oncology; Region 1; Tensile stress; Time domain analysis; Transforms; USA Councils; FDTD Method; Z-transform; dielectric tensor;
Conference_Titel :
Microwave Symposium, 2007. IEEE/MTT-S International
Conference_Location :
Honolulu, HI
Print_ISBN :
1-4244-0688-9
Electronic_ISBN :
0149-645X
DOI :
10.1109/MWSYM.2007.380040