In this article, three new green's functions are presented for a narrow strip line (not a thin wire) inside or on a homogeneous dielectric, supposing quasi-TEM dominant mode. These functions have no singularity in contrast to so far presented ones, so that they can be used easily to determine the capacitance matrix of multi-layer and single-layer homogeneous coupled microstrip lines. To obtain ...

Using normalized Hermite functions, we construct bases in the space of square integrable functions on unit circle (L2(C)) and l2(Z), which are related to each other by means Fourier transform discrete transform. These relations unitary. The construction orthonormal requires use Gramm–Schmidt method. On both spaces, have provided ladder operators with same properties as for one-dimensional quant...

THE FOURIER SPECTRAL ELEMENT METHOD FOR VIBRATION AND POWERFLOW ANALYSIS OF COMPLEX DYNAMIC SYSTEMS byHONGAN XUMay 2011Advisor: Dr. Wen LiMajor: Mechanical EngineeringDegree: Doctor of PhilosophyA general numerical method, the so-called Fourier-Space Element Method (FSEM), isproposed for the vibration and power flow analyses of complex built-up structures. In...