THE CALCULATION OF MODULATION PRODUCTS 



235 



Traite des Fonctions Elliptiques. Numerical calculation of the coef- 

 ficients making use of these tables and the formulae listed in Table I 

 is a quite simple process. Curves of the coefficients as functions of k 

 have been calculated in this way and are plotted in Fig. 2. 



2 0.3 0.4 0.5 0.6 0.7 0.8 



RATIO OF FUNDAMENTAL AMPLITUDES, "p" = K 



0.9 



Fig. 2 — Curves showing amplitudes of modulation products in output of half wave 

 linear rectifier when input wave consists of two frequencies. 



It is perhaps worth noting that the special case of equal funda- 

 mental amplitudes {P = Q ox k = \) yields the simple result, 



^ mn — 



8(-)'"P 



(22) 



where w -f n is even. When m + n is odd and greater than one, 

 A„,n is zero. 



