Discussion
A reflector has an rms surface error of \( \lambda/16 \). Roughly what gain loss does Ruze predict?
Answer: B
The Ruze exponent is proportional to the square of the error in wavelengths, and the standard result for a sixteenth of a wavelength is:
\[ \Delta G \approx 1 \text{ dB} \]
so about 1 dB is lost. Because the exponent goes as the square of the error measured in wavelengths, halving the wavelength quadruples the exponent, and a surface good for one band may be hopeless an octave higher. This is the calculation that decides the highest frequency at which an existing dish can usefully be operated.
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