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On the investigation of diffracted fields at the shadow boundaries of staggered parallel plates—A spectral domain approach
Author(s) -
RahmatSamii Y.,
Mittra R.
Publication year - 1977
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs012i005p00659
Subject(s) - diffraction , fourier transform , saddle point , mathematical analysis , shadow (psychology) , mathematics , saddle , plane (geometry) , field (mathematics) , domain (mathematical analysis) , physics , optics , geometry , pure mathematics , psychology , psychotherapist , mathematical optimization
The diffraction of plane waves by two staggered parallel plates is investigated using the spectral diffraction coefficient in the Fourier transform domain. It is shown that when the interaction between the plates is negligible, the total field can be represented in terms of a double Fourier integral, a result that is identical to the one derived by Jones via the Wiener‐Hopf technique. The double integral is asymptotically evaluated via the saddle‐point integration technique and compact expressions for the field are derived, up to the order k −1 , for observation points located at the shadow boundaries and also away from the transition regions. These expressions are compared with the results of other asymptotic theories.