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Invoking a suitable mathematical method we have tried to present a description of the room acoustics field with the combination of uniform impedance boundary conditions imposed on some walls. These acoustic boundary conditions are expressed by absorption coefficient values. In this problem, the solution is derived for the combination of three one-dimensional Sturm-Liouville (S-L) problems with Robin-Robin boundary conditions, Robin-Neumann and Heinrich Kuttruff conditions. Graphical solutions are presented in conclusions . It is assumed that the acoustic force constitutes a monopole source and finally the forced acoustic field is calculated. As a novelty, it is demonstrated that the Fourier method provides a useful and efficient approach for a room acoustics with different values of wall impedances. Theoretical considerations are illustrated for rectangular cross-section of the room with particular ratio.
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