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Elemental derivation of the Babinet principle in electromagnetic form

 

作者: C. L. Andrews,   D. P. Margolis,  

 

期刊: American Journal of Physics  (AIP Available online 1975)
卷期: Volume 43, issue 8  

页码: 672-676

 

ISSN:0002-9505

 

年代: 1975

 

DOI:10.1119/1.9748

 

出版商: American Association of Physics Teachers

 

数据来源: AIP

 

摘要:

Two complementary, thin screens treated in the Babinet principle have one thing in common, the line of their edges. Employing the assumption that scattering of electromagnetic waves from a thin, conducting screen is solely from the elements of the edges, we have made a simple derivation of the Babinet principle in electromagnetic form. We needed to treat but one element of edge with the aperture and conductor interchanged. The factors which affect the amplitudes and phases of the electric and magnetic scattered wavelets reaching any point of observation from the common element of edge of the complementary screens are identical except for phase factors of 0° or 180° caused by polarization effects at the conducting edge. Symmetry conditions from electromagnetic theory yield those factors. We have illustrated the Babinet principle in electromagnetic form by tabularly expressing the scattered waves from two complementary half‐planes. These results also were based on the assumption that scattering by a thin screen is solely from the edges.

 

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