Radiation power of an antenna

  • #1
137
4
I am reading Jackson's book on classical electrodynamics.
It said in page 412 to 415 (3rd edition) that the total power radiated by a
dipole is proportional to k^4 (equation 9.24)
quadrupole is proportional to k^6 (equation 9.49)
But why does the linear antenna at page 412, which is a dipole, radiate at k^2 (equation 9.29)?
 

Answers and Replies

  • #2
765
79
The dipole moment, p, has ω in the denominator (equation 9.27). Thus the c2|p|2 terms in 9.24 replace two of the k's.
 
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  • #3
137
4
so the (real) power for a dipole should be proportional to k^2 instead of k^4 ?
 
  • #4
765
79
Yes
 

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