Geodesic
Eigenfunctions of the continuous spectrum in the problem of acoustic oscillations in a wedge-shaped domain bounded by an angular junction of two semi-infinite thin elфstic membranes
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 53, Tome 521 (2023), pp. 123-135 
M. A. Lyalinov. Eigenfunctions of the continuous spectrum in the problem of acoustic oscillations in a wedge-shaped domain bounded by an angular junction of two semi-infinite thin elфstic membranes. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 53, Tome 521 (2023), pp. 123-135. http://geodesic.mathdoc.fr/item/ZNSL_2023_521_a7/
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     author = {M. A. Lyalinov},
     title = {Eigenfunctions of the continuous spectrum in the problem of acoustic oscillations in a wedge-shaped domain bounded by an angular junction of two semi-infinite thin el{\cyrf}stic membranes},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {123--135},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this work we compute the eigenfunctions of the continuous (essential) spectrum in the form of the Sommerfeld integral. The eigenfunctions are localised near the membranes and can be interpreted as incoming and outgoing surface waves.

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