Vector Variational Formulation of Electromagnetic Fields in Anisotropic Media

Maxwell's equations can be cast into a basic differential operator equation, the curlcurl equation, which lends itself easily to variational treatment. Various forms of this equation are associated with problems of practical importance. The formulation includes the treatment of loss-free anisotropic media. The boundary conditions associated with electromagnetic-field problems are treated in detail and the uniqueness of the solution is discussed. A functional is derived for the curlcurl equation in Cartesian and cylindrical coordinates.

[1]  F. Young,et al.  An E Vector Variational Formulation of the Maxwell Equations for Cylindrical Waveguide Problems , 1971 .

[2]  George I. Haddad,et al.  Frequency-Dependent Characteristics of MicrostripTransmission Lines , 1972 .

[3]  A. Wexler.  Computation of Electromagnetic Fields , 1969 .

[4]  A. Konrad,et al.  Linear Accelerator Cavity Field Calculation by the Finite Element Method , 1973 .

[5]  W. English.  Vector Variational Solutions of Inhomogeneously Loaded Cylindrical Waveguide Structures , 1971 .

[6]  J. Davies,et al.  Computer Analysis of the Fundamental and Higher Order Modes in Single and Coupled Microstrip , 1972 .

[7]  Fook Loy Ng,et al.  Tabulation of Methods for the Numerical Solution of the Hollow Waveguide Problem (Short Papers) , 1974 .

[8]  P. Daly,et al.  Hybrid-Mode Analysis of Microstrip by Finite-Element Methods , 1971 .

[9]  D. Gelder,et al.  Numerical determination of microstrip properties using the transverse field components , 1970 .

[10]  Anand Gopinath,et al.  Numerical Analysis of a Dielectric-Loaded Waveguide with a Microstrip Line-Finite-Difference Methods , 1969 .

[11]  Peter P. Silvester,et al.  Triangular finite elements for the generalized Bessel equation of order m , 1973 .

[12]  J. B. Davies,et al.  Review of methods for numerical solution of the hollow-waveguide problem , 1972 .

[13]  Roger F. Harrington,et al.  Field computation by moment methods , 1968 .

[14]  D. T. Thomas.  Functional Approximations for Solving Boundary Value Problems by Computer , 1969 .

[15]  Claus Müller,et al.  Foundations of the mathematical theory of electromagnetic waves , 1969 .

[16]  L. Collatz.  The numerical treatment of differential equations , 1961 .

[17]  P. Silvester,et al.  Numerical Solution of Dielectric Loaded Waveguides: I-Finite-Element Analysis , 1970 .

[18]  A. Berk,et al.  Variational principles for electromagnetic resonators and waveguides , 1956 .

[19]  P. Silvester,et al.  Numerical Solution of Dielectric Loaded Waveguides: II - Modal Approximation Technique , 1971 .