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Overreflection and overtransmission of Rossby waves by zonal shear. (English) Zbl 0665.76029

The reflection and transmission of Rossby waves by zonal shear for the cases \(U(y)=e^ y\sec h y\) and \(\tanh^ 2y\) is investigated by examining the eigenfunction of the disturbance equation. The coefficients of reflection and transmission are evaluated asymptotically. For \(U(y)=e^ y\sec h y\) the condition for overreflection is obtained, and for \(U(y)=\tanh^ 2y\), it is found that overtransmission occurs as well as overreflection, and condition for overtransmission is obtained.

MSC:

76B65 Rossby waves (MSC2010)
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