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A pyramidal horn has an aperture of \( 10\lambda \times 7\lambda \) and 51 per cent efficiency. What is its gain?

  • A.About 16 dBi, which is typical of a small sectoral horn
  • B.About 26.5 dBi
  • C.About 20 dBi
  • D.About 31 dBi

Answer: B

Applying the aperture gain relation with the area expressed in square wavelengths:

\[ G = 4\pi \times 70 \times 0.51 \approx 449 \]

which is about 26.5 dBi. The efficiency of about half is characteristic of an optimum pyramidal horn and comes from the combination of the guide's amplitude taper and the residual phase error. Knowing that figure lets a horn's gain be estimated from its mouth dimensions alone, which is often all the information available.

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