By Birkhoff G.D.
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Review source-free (eigenvalue) and source-driven (Green’s function) EM wave problems and their relations via completeness and orthonormality properties. List 1D eigenvalue and Green’s functions in finite and infinite domains and discuss alternative spectral representations. Then, take propagation inside a 2D nonpenetrable parallel plate waveguide problem and discuss exact solutions in terms of mode summation and ray summation models. Mention important steps in generating numerical reference data from analytical exact solutions.
Sevgi, “A Ray Shooting Visualization MATLAB Package for 2D Groundwave Propagation Simulations,” IEEE Antennas and Propagation Magazine, 46 (4), 2004, pp. 140–145. ” Have you ever thought about the meaning of giving numbers, or speaking with numbers? For example, what conclusions can be drawn from the NIS’s declaration? Is it obvious that the unemployment rate has been falling since last year? What can you say if somebody claims that the unemployment is escalated? ” What does it mean with 95% confidence level?
It is essential to specify the error and uncertainty bounds of a numerical result if it is scientific. Concepts, such as error, uncertainty, accuracy, precision, sensitivity, and resolution, should be well understood. You may meet someone who presents his/her results with, for example, 12-digit accuracy, while the numerical error limits it to eight digits (for example), and while only two digits are meaningful because of the approximations made. What do all of these mean? 7812 dB. Is it meaningful, why?