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An analytical design method is presented which enables determination of the length of each slot in a collinear array and the tilt angle of the strip relative to each slot for a specified aperture distribution and input impedance, in the presence of external mutual coupling. The theory uses an extension of Stevenson's approach to relate the TEM mode current in the boxed stripline to the slot-voltage, and a geometrical theory of diffraction (GTD) expression for the external coupling between slot elements. A novel method is introduced to constrain resonant slot lengths to practical values. An array constructed to validate the theory has given good results.
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Park et al. (1981) studied this question.
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