3/31/2024 0 Comments Schelkunoff electromagnetic wavesFor this reason we feel that these methods are preferable to those based on the Kirchhoff formula. Due to the symmetry of the problem it can easily be sur mised that plane wave expansion techniques provide a power ful tool of analysis for an arbitrary type of excitation of an infinite slab. The calculations of diffracted fields and radiation fields, based either on the Equivalence Principle or on the more general Induction Theorem, depend upon a priori verifiable approximations to the actual fields in the neighborhoods of the sources of the diffracted and radiated waves. referenced literature resemble Schelkunoffs formulas 14. Leontovi, On a method of solving the problem of propagation of electromagnetic waves near the surface of the earth, Bull. If, on the other hand, this formula is applied to some auxiliary vector potential from which the diffracted field is subsequently deduced by differentiation, the result (although consistent with Maxwell's equations) depends on the particular choice of the auxiliary vector and in some instances, at least, is obviously unreasonable (Appendix III). van Nostrand Company, New York, Chapter 12, (1943). If the Kirchhoff formula is applied directly to the field intensities of the incident wave over the aperture, the diffracted field is found to be inconsistent with Maxwell's equations. Inasmuch as it is rarely possible to treat diffraction of electromagnetic waves exactly, the Kirchhoff formulation of Huygens' Principle has been frequently used in approximate calculations.
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