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The Bragg frequency is the frequency at which the individual reflections from each of the periodically spaced air-bridges add up in phase to maximize the reflection. This occurs at a frequency near the frequency where the spacing between the capacitors is 1/4 of a wavelength on the transmission line. It is not exactly 1/4 wave because of the capacitive loading and the shunt inductance of the air-bridges. Chapter 10 of Gabriel Rebeiz's book (pub by Wiley) covers this type of phase shifter in detail or you can look back directly to Scott Barker's papers.
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