Radiation and Dispersion of Internal Waves 



Aperiodic -in-z mode 



Oscillator y-in- z 

 mode 



k,//3 

 (k,//3) 



l^«//9 



^2.0 



Fig. 1 - Plot of dispersion relation (Eq. (45)) 

 showing level lines and paths of steepest 

 ascent on the oj- surface 



(n = k/k) , 



N k^ 

 k(k2 + /?2) 



(46a) 

 (46b) 



c = A sin 5 , A = Nv^eT^, e = (1 + kV/S^)" , (46c) 



in terms of the polar coordinates 



kjj = k sin cos cp , k = k sin 9 sin cp , k^ = k cos 9 . (47) 



Thus c increases with increasing 9 and decreasing k; i.e., less inclined (to 

 horizontal) longer waves travel faster. That c depends on k indicates that these 

 internal gravity waves are dispersive. 



559 



