Abstract

AbstractScalar and vector Helmholtz equations and their applications in electromagnetics are discussed. Relevance of the Helmholtz equation to wave motion is explained. Derivation involving Maxwell's equations and auxiliary scalar and vector potentials is presented. Basic analytical solution techniques for homogeneous and nonhomogeneous cases are introduced and illustrated in simple problems such as guided waves and radiation from a finite‐length dipole. Numerical methods and the operator approach to investigation of the Helmholtz equation are briefly outlined.

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