The Application of the Special Functions to Solving Physical Problems |
| A. Włocha, H. Czyżb, T. Jasińskib
aDepartment of Mathematical Modeling, Faculty of Mathematics and Applied Physics, Rzeszów University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland bDepartment of Physics and Medical Engineering, Faculty of Mathematics and Applied Physics, Rzeszów University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland |
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| The purpose of this work is to examine the reflection of a plane acoustic wave at normal incidence at the boundary of equally flat medium of finite thickness. It separates two homogeneous semi-infinite media. We are interested in the case where two external media have constant wave numbers, respectively k1 and k2, and that the wave number k varies from k1 to k2 in a continuous and monotonic way. This is a problem that we solve by using Mathieu's functions. |
DOI:10.12693/APhysPolA.135.1234 topics: special functions, Mathieu functions, mechanical waves propagation |