Compact Slot Array Antennas for Wireless Communications by Alan J. Sangster

Author:Alan J. Sangster
Language: eng
Format: epub, pdf
ISBN: 9783030017538
Publisher: Springer International Publishing

(7.36)

and for a matched termination Eq. (7.32) applies, giving:

(7.37)

Now, for a lossy line, transmission line theory gives the voltage at slot N as:

(7.38)

while at slot N − 1 we obtain:

(7.39)

using Eq. (7.21). At the Nth slot transmission line theory also yields:

(7.40)

Furthermore from Eq. (7.21)

(7.41)

with bN computed from:

(7.42)

This equation ensures that the slot to slot excitation phase shifts in accordance with array beam formation in the specified design direction. It leads to the following iterative relationship for phase, namely

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