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Higher Order Asymptotic Terms of the Two‐Dimensional Diffraction by a Small Aperture
Author(s) -
Mohsen A.,
Hamid M. A. K.
Publication year - 1968
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 - 10.1002/rds19683111105
Subject(s) - aperture (computer memory) , diffraction , computation , mathematics , optics , dimension (graph theory) , enhanced data rates for gsm evolution , mathematical analysis , transmission (telecommunications) , physics , geometry , algorithm , telecommunications , combinatorics , acoustics , computer science
A modified diffraction coefficient, suitable for the computation of higher order edge‐edge interaction terms in the two‐dimensional diffraction by a narrow slit and a circular aperture, is derived. The resulting improvement in the accuracy of the transmission cross section over the usual asymptotic expressions is established. By comparison with the exact solutions for these cases, it is shown that the coefficient may be used with confidence for such apertures when Ka ⩾ 1 , where K is the wave‐number and a is half the characteristic dimension of the aperture.