436 
and Wis a constant. Under these circumstances, Eq. 5,21 is particularly 
convenient, since it at once determines the dissipation factor % as a func- 
tion of ¢ , and therefore of &@ or ihiw,. 
Whan the peak approximation, Eq. 4.21 can be employed for 
the time ie eal Y of Eq. 5.11 assumes the simple form, 
Z 4(Z- Zab 
+ 2AX Ir [@oy S z. (ZFINZE se Ser | 
Zo 1s glen + [gad + (yer)? eee) 
Go = &(t)/a%, 
1 Nie YORE 
where it is usually adequate to approximate zg Pas ae 
We now employ the definitions of Eqs. 3.35, 4.19, and 5.17 to ex- 
press the equation of propagation, Eq. 3.33 in its final forn, 
QR t) = % Pipe Nee 
gr ae Bo, (562k) 
‘ 
where t is the time measured from the instant €., at which the wave front 
3 
arrives at point R e The dissipation parameter X is to be calculated by 
means of Eq. 5.21 and the spread parameter 7 is to be calculated by means 
of Eqs. 5.23. 
6. Asymptotic Behavior of Pressure Wave22/ 
We have pointed out that the kinetic enthalpy propagation theory 
is considerably simplified at large distances from the charge. At distances 
great enough so that the kinetic enthalpy can be represented by its acous- 
tical approximation, the theory reduces to a description of the propaga- 
tion of the pressure, thus facilitating calculation of the pressure-time 
25/ See Reference 7, Section 5. 
49 
