The Propogation of a Finite Wave Group in Infinitely 
Deep Wafer. 
ye 
(0 ) ere te sin ant 
+00 242 
b(4) = =f eT sin = sin wt dt 
+00 2H 
“gia arom (-cos(2% +)t + cos( - u)t) dt 
-(u + 210/T -(u- 27/7)? 
-VTA (-@ lu sem/e)” +e 40 ) 
2710 
- (a+ 2m/t)* 
n(0,0,1) “=| -e 4q2 sin alt da 
oc 2m/t)* 
+A fe 4 sin at du 
Virb = -(a + 271/T)2 
mest) aa 4G sin (FESS & ea) dea 
° 
eo _(a- 271/T)* 
ee ee 4G 2 sinj( 2 at) da 
co =- CO ° 
[ tunee = il f(s) Gai = i f(-u)du 
VTA 19 = (Ce erems 1)* 2 
n (x,t) = OTS =€ 40° sin (Em lin 
Bist NO 
AVT -(AL- 2TT/T) se e4 : 2 
p(x,z,t) = AS Sen mG Lao sin(4*- ut)du - gpz 
PAL Vble AVE, 
(4.1) 
(4.2) 
(4.3) 
(4.4) 
(4.5) 
(4.6) 
(4.7) 
