Horizontal coherence of low-frequency shallow water signals

2007 ◽  
Vol 122 (5) ◽  
pp. 3005
Author(s):  
Jon M. Collis ◽  
Timothy F. Duda ◽  
James F. Lynch ◽  
Arthur E. Newhall ◽  
Keith von der Heydt ◽  
...  
Keyword(s):  
Shallow Water ◽  
Low Frequency

Low-frequency bottom reverberation in shallow-water ocean regions

2004 ◽  
Vol 50 (1) ◽  
pp. 37-45 ◽  
Author(s):  
V. A. Grigor’ev ◽  
V. M. Kuz’kin ◽  
B. G. Petnikov
Keyword(s):  
Shallow Water ◽  
Low Frequency

Low Frequency Wind Generated Ambient Noise in Shallow Water

1988 ◽  
pp. 273-280
Author(s):  
Henrik Schmidt ◽  
Tuncay Akal ◽  
W. A. Kuperman
Keyword(s):  
Shallow Water ◽  
Ambient Noise ◽  
Low Frequency

scholarly journals Propagation properties of Rossby waves for latitudinal β-plane variations of <I>f</I> and zonal variations of the shallow water speed

2012 ◽  
Vol 30 (5) ◽  
pp. 849-855 ◽  
Author(s):  
C. T. Duba ◽  
J. F. McKenzie
Keyword(s):  
Shallow Water ◽  
Group Velocity ◽  
Rossby Wave ◽  
Rossby Waves ◽  
Low Frequency ◽  
Wave Number ◽  
Coriolis Parameter ◽  
Propagation Properties ◽  
Wave Normal ◽  
Water Speed

Abstract. Using the shallow water equations for a rotating layer of fluid, the wave and dispersion equations for Rossby waves are developed for the cases of both the standard β-plane approximation for the latitudinal variation of the Coriolis parameter f and a zonal variation of the shallow water speed. It is well known that the wave normal diagram for the standard (mid-latitude) Rossby wave on a β-plane is a circle in wave number (ky,kx) space, whose centre is displaced −β/2 ω units along the negative kx axis, and whose radius is less than this displacement, which means that phase propagation is entirely westward. This form of anisotropy (arising from the latitudinal y variation of f), combined with the highly dispersive nature of the wave, gives rise to a group velocity diagram which permits eastward as well as westward propagation. It is shown that the group velocity diagram is an ellipse, whose centre is displaced westward, and whose major and minor axes give the maximum westward, eastward and northward (southward) group speeds as functions of the frequency and a parameter m which measures the ratio of the low frequency-long wavelength Rossby wave speed to the shallow water speed. We believe these properties of group velocity diagram have not been elucidated in this way before. We present a similar derivation of the wave normal diagram and its associated group velocity curve for the case of a zonal (x) variation of the shallow water speed, which may arise when the depth of an ocean varies zonally from a continental shelf.

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