82 Mr. S. B. McLaren on the Emission and 



In (48) and (49) only the first power of R -1 is retained. 

 The electric and magnetic intensities are given by 



E=- -^ - V*. H = Curl F. 



c at T 



Then the flux of energy per unit time across unit area is 



The energy o£ waves polarized in the direction l x which 

 cross an element dS of area on the sphere of radius R is 



li^*m^ dS ( 5 °) 



In the first factor of (50) V</> is omitted, since it is of 

 order R -2 . 



Also A^=i(w- 



The energy of period — involved in (50) is found by the 

 P 

 Fourier analysis. There is emitted in any interval of time 

 T the amount 



On integration by parts this becomes 



4rc J dt J dt ' 



d&p 2 dpe* r dt ipt p dx ipt 



or 



or 



d$ e 2 p 2 dp f T , dx _ ipt . 



RTWjo ll dt e ^)^ + Con D ugate. 



And between the times t b and t a on the average the amount 

 of emission is 



dS e 2 p 2 dp Cta dx 



Wl^?Jt b l ^dt e PX % P ) dt + Conjugate. . (51) 



