WimRFP
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Maybe you have another version of the book. The relevant chapter discusses Gain, directivity and associated effective area for the receive case.
There a several ways to prove the relation between gain, directivity wavelength and effective area for the receive case, chapter 13 (in my book) may be helpful.
You have the full right to doubt conclusions as mentioned in Kraus, Ballanis, Orfanidis. It is the basis for the development of new thoughts.
I give antenna classes and several students have questions about the effective area for small antennas, as in the beginning it is strange that physically small antennas can have a significantly large effective capture area. However, after some days, virtually all students understand why this is possible and can explain this themselves. When you take some time to study, you will very likely change your mind.
There a several ways to prove the relation between gain, directivity wavelength and effective area for the receive case, chapter 13 (in my book) may be helpful.
You have the full right to doubt conclusions as mentioned in Kraus, Ballanis, Orfanidis. It is the basis for the development of new thoughts.
I give antenna classes and several students have questions about the effective area for small antennas, as in the beginning it is strange that physically small antennas can have a significantly large effective capture area. However, after some days, virtually all students understand why this is possible and can explain this themselves. When you take some time to study, you will very likely change your mind.