Kandaswamy, P.; Anguraj, A. Overreflection and overtransmission of Rossby waves by zonal shear. (English) Zbl 0665.76029 Proc. Indian Natl. Sci. Acad., Part A 55, No. 1, 59-65 (1989). 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) Keywords:reflection; transmission; Rossby waves; zonal shear; eigenfunction; disturbance equation; overtransmission PDFBibTeX XMLCite \textit{P. Kandaswamy} and \textit{A. Anguraj}, Proc. Indian Natl. Sci. Acad., Part A 55, No. 1, 59--65 (1989; Zbl 0665.76029)