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Introduction To Electrodynamics

Introduction to Electromagnetic Compatibility

Numerical methods for Engineers and Scientists

The Geostationary Operational Environmental Satellite R-series (GOES-R) is the next block of four satellites to follow the existing GOES constellation currently operating over the Western Hemisphere. Advanced spacecraft and instrument technology will support expanded detection of environmental phenomena, resulting in more timely and accurate forecasts and warnings. Advancements over current GOES capabilities include a new capability for total lightning detection (cloud and cloud-to-ground flashes) from the Geostationary Lightning Mapper (GLM), and improved cloud and moisture imagery with the 16-channel Advanced Baseline Imager (ABI). The GLM will map total lightning activity continuously day and night with near-uniform storm-scale spatial resolution of 8 km with a product refresh rate of less than 20 s over the Americas and adjacent oceanic regions in the western hemisphere. This will aid in forecasting severe storms and tornado activity, and convective weather impacts on aviation safety and efficiency. In parallel with the instrument development, an Algorithm Working Group (AWG) Lightning Detection Science and Applications Team developed the Level 2 (stroke and flash) algorithms from the Level 1 lightning event (pixel level) data. Proxy data sets used to develop the GLM operational algorithms as well as cal/val performance monitoring tools were derived from the NASA Lightning Imaging Sensor (LIS) and Optical Transient Detector (OTD) instruments in low Earth orbit, and from ground-based lightning networks and intensive prelaunch field campaigns. The GLM will produce the same or similar lightning flash attributes provided by the LIS and OTD, and thus extend their combined climatology over the western hemisphere into the coming decades. Science and application development along with preoperational product demonstrations and evaluations at NWS forecast offices and NOAA testbeds will prepare the forecasters to use GLM as soon as possible after the planned launch and checkout of GOES-R in late 2015. New applications will use GLM alone, in combination with the ABI, or integrated (fused) with other available tools (weather radar and ground strike networks, nowcasting systems, mesoscale analysis, and numerical weather prediction models) in the hands of the forecaster responsible for issuing more timely and accurate forecasts and warnings.

The GOES-R Geostationary Lightning Mapper (GLM)

Planar circuits for microwaves and lightwaves

A 2-D contour integral-equation method for the frequency-domain analysis of arbitrarily shaped power bus structures is presented. The numerically efficient approach allows the rapid and accurate computation of the frequency-dependent transfer parameters between an arbitrary number of ports, as required for embedding the power plane structure into network simulation. A formulation is developed for calculating the voltage distribution between the planes, as well as for determining the resulting radiated fields based on the field-equivalence principle. The method is applied for several test boards including a populated board with a surface-mount decoupling-capacitor network. The suggested approach is well confirmed by an analytical solution for the rectangular structure, by measurement and 3-D full-wave simulation results.

Efficient 2-D Integral Equation Approach for the Analysis of Power Bus Structures With Arbitrary Shape

Generalized-ray theory for time-domain electromagnetic fields in a horizontally layered medium is developed. It can be considered as the time-domain equivalent of the intensively studied Green's function formulation in frequency domain. After introducing appropriate integral transformations and source-type field representations, the solution is written out in terms of generalized ray constituents whose space-time counterparts are constructed with the aid of the Cagniard–DeHoop technique. The formulation lays the foundation to rigorously study time-domain field behavior in numerous practical topologies where a stratified multilayer is involved, such as planar antennas and circuits, but also electromagnetic compatibility (EMC) and propagation problems. Illustrative numerical results are presented.

Generalized Ray Theory for Time-Domain Electromagnetic Fields in Horizontally Layered Media

Analytic time-domain expressions are derived for the pulsed electromagnetic field radiated by a wide slot antenna with a dielectric layer in a two-dimensional model configuration. In any finite time window of observation, exact pulse shapes for the propagated, reflected and refracted wave constituents are constructed with the aid of the modified Cagniard method (the Cagniard-DeHoop method). Numerical results are presented for field pulse shapes at the dielectric/free-space interface, the pulse time widths of the excitation being chosen such that the separate arrivals from the two edges of the slot can be distinguished. Applications are found in any system whose operation is based on pulsed electromagnetic field transfer and where digital signals are detected and interpreted in dependence on their pulse shapes.

Pulsed Electromagnetic Field Radiation From a Wide Slot Antenna With a Dielectric Layer

Electromagnetic Reciprocity in Antenna Theory

The time-domain counterpart of the Okoshi's contour integral method is formulated with the aid of the reciprocity theorem of the time-convolution type. A numerical procedure for solving the time-domain reciprocity relation is proposed and validated using an analytical solution based on the eigenfunction expansion and the finite-integration technique. For the former, the time-domain counterpart of the classical double-summation formula for a rectangular power-ground structure is found and evaluated.

Martin Stumpf

Papers

Efficient 2-D Integral Equation Approach for the Analysis of Power Bus Structures With Arbitrary Shape

Generalized Ray Theory for Time-Domain Electromagnetic Fields in Horizontally Layered Media

Pulsed Electromagnetic Field Radiation From a Wide Slot Antenna With a Dielectric Layer

Electromagnetic Reciprocity in Antenna Theory

The Time-Domain Contour Integral Method—An Approach to the Analysis of Double-Plane Circuits