Based on properly organized reprints by C. Yeh and his collaborators, innovative and original solutions to a number of fundamental problems, essential to the teaching and research in modern electromagnetics, are presented in From Analytic to Numerical Electromagnetics. The wide range of coverage from general applied theory to the pioneering development of canonical solutions and numerical methods offers a rare in-depth understanding of the methods used in solving complex problems in classical and modern electromagnetics. Selected specific examples of solved problems are: New derivation of boundary conditions, conditions for scalar wave approximation, completeness of the far-zone data, correct power loss calculation, limitations of directional coupler theory, calculation of noise temperature of lossy plate, canonical solutions for elliptic, parabolic or spheroidal dielectric structures, waves in periodic medium, focused beam scattering, relativistically moving medium, terahertz low-loss waveguides, WDM optical fiber solitons, particle radiation in complex medium, and being the first to develop these numerical methods - FEM, BPM, 4x4 Matrix Method, EBCM, TLM, and 2 Point Boundary Method - to solve complex Electromagnetics problems. Readers will find the subjects covered in this book to be a useful supplement to a standard advanced textbook on electromagnetics. To researchers and engineers, From Analytic to Numerical Electromagnetics will be a valuable reference and guide to obtain solutions to problems dealing with optical communications, optical solitons, photonics, and terahertz, plasmonic, metamaterial or nano waveguides.