An electrostatic mode-matching solution for a circular transverse electromagnetic cell (CTEM cell) is obtained. Laplace's equation for the electrostatic potential across the cross section of CTEM cell is solved. Computations illustrate that the mode-matching solution is viable and efficient for the analysis of CTEM cell.

Transverse magnetic (TM)-mode propagation on a pyramidal transmission line is considered. The mode-matching method is applied to study the TM-mode characteristics. A set of equations for modal coefficients is constituted and numerically solved. Field distributions of the TM modes are presented.

The electrostatic potential in the 3-port pyramidal cell is investigated by solving Laplace’s equation. Potentials are expressed in eigenfunctions in spherical coordinates. The mode-matching method is applied with the orthogonality of sinusoidal function to obtain simultaneous series equations. Numerical computations are carried out to illustrate the behavior of potential and electric field.

The boundary-value problem of radiation from a coaxially fed monopole in a rectangular cavity is considered. The image theory is invoked to transform the original problem into a simple equivalent. The boundary conditions are enforced in conjunction with the mode-matching method to obtain a set of simultaneous equations for modal coefficients. Computations are performed to check validity and numerical efficiency of the series solution.

In this research, integral transform technique for electromagnetic scattering formulation is reviewed. Electromagnetic boundary-value problems are presented to demonstrate how the integral transforms are utilized in electromagnetic propagation, antennas, and electromagnetic interference/compatibility. Various canonical structures of slotted conductors are used for illustration; moreover, Fourier transform, Hankel transform, Mellin transform, Kontorovich-Lebedev transform, and Weber transform are presented. Starting from each integral transform definition, the general procedures for solving Helmholtz’s equation or Laplace’s equation for the potentials in the unbounded region are reviewed. The boundary conditions of field continuity are incorporated into particular formulations. Salient features of each integral transform technique are discussed.

Waveguides and antennas are basic components to send and receive electromagnetic waves in radars and wireless communications. Among many different types of waveguides and antennas, we will study rectangular waveguides, Hertzian dipole antennas, and loop antennas. These types are relatively simple to derive their analytic field solutions. In the following sections, we will derive these solutions and discuss salient features of electromagnetic wave guidance and radiation. Helmholtz’s equations and Maxwell’s equations will be utilized for wave analysis.

The electrostatic characteristics of broadside-coupled striplines in a shield are investigated with the mode-matching method. The Fourier series is employed to describe electrostatic potential distributions. Numerical results are shown for coupled transmission line cell applications.

The characteristic impedance of a pyramidal transmission line is investigated. The eigenfunction expansions in spherical coordinates are used to represent the potentials in pyramidal regions. The mode-matching method is applied to obtain a set of simultaneous equations for modal coefficients. Computations are performed to examine the behavior of the characteristic impedance of a pyramidal transmission line.

Electromagnetic wave scattering in two open-ended coaxial cables with flanges is presented for adiabatic transmission line applications. Field distributions in the cables are obtained by employing the mode-matching method. A set of simultaneous equations is solved to investigate the transmission and reflection coefficients.

The mode-matching applications to scattering from circular and annular apertures in a thick perfectly conducting plane are reviewed. The Hankel and Weber transforms are utilized to solve the boundary-value problems of circular and annular apertures. Simple electrostatic problems are presented to illustrate the mode-matching method in terms of the Hankel and Weber transforms. Various types of Weber transform are discussed with boundary-value problems. Electromagnetic radiation and scattering from circular and annular aperture geometries are summarized. The utility of the mode-matching method in circular and annular aperture scattering is emphasized.

This letter presents an automated microwave filter tuning algorithm that emulates manual tuning. Measured S-parameter curve's shape similarity and value similarity with a target one are utilized for coarse tuning. A sensitivity matrix of S-parameter curve's feature points and a weighted least squares method are used for fine tuning. The utility of algorithm is demonstrated with an X-band four-pole dual-mode cavity filter.

Electromagnetic power transmission of a magnetic current loop into a wire-penetrated aperture is investigated. We use the superposition principle, the associated Weber transform, and the modematching method to constitute a set of simultaneous equations. Our theoretical model for a wirepenetration is useful for the analysis of EMI and its applications.

The TEM (transverse electromagnetic) mode in the GTEM (gigahertz transverse electromagnetic) cell is represented in simple series form. Potentials are expressed in eigenfunctions in spherical coordinates, and the mode-matching method is used to simplify the expressions. The final series expressions are fast convergent and simple to estimate the TEM mode in the GTEM cell.

Electromagnetic wave scattering from a double slotted cavity is investigated. The mode-matching method is used to develop a simple analytic model that estimates field strengths in the interior and the exterior of a double slotted cavity. Computations are performed to examine the field penetration into a slotted cavity.

Wave propagation along shielded offset striplines is investigated. The mode-matching method is applied to obtain TE and TM mode dispersion relations in simple series form. Computations are performed to illustrate field propagation characteristics for various offset stripline geometries.

Higher-order transverse electric and transverse magnetic modes in gigahertz transverse electromagnetic cells are investigated using the mode-matching method. The gigahertz transverse electromagnetic cell is modeled as a right rectangular pyramid with a thin septum. Fields are expanded in eigenfunctions of spherical coordinates, and the orthogonality of sinusoidal functions is utilized to obtain simple modal equations. Computations are performed to check the accuracy and convergence of modal series solutions. The characteristics of modal series solutions are presented in terms of gigahertz transverse electromagnetic cell geometries.