Theory of Sound Field

Lecturer:

Ondřej Jiříček (gar.)

Tutor:

Supervisor:

Department of Physics

Synopsis:

Dynamics, thermodynamics and molecular kinetics of sound field. Linear adiabatic model of sound field - linearization uncertainties. Transient spectral densities and Dirac expression of phasor representation of periodic field. Both transient and periodic wave equations. Sound energy conservation equation. Expresion of the interior sound field by means of surface field. Difraction problems. Analysis of acoustical uncertainties.

Requirements:

Foundations of physics, foundations of vector analysis, Founations of Fourier transform.

Syllabus of lectures:

1.Mathematical summary.

2.Linerazition of the Euler equation.

3.Linearization of continuity equation.

4.Linearization of the first principle of thermodynamics.

5.Derivation of the wave equation of linearized sound field.

6.Derivation of acoustical law conservation in linearized sound field.

7.Uncertainty of linearized sound field.

8.Spectral densities of tranzient sound field.

9.Dirac conversion of tranzient spectral densities to the phasor representation.

10.Gauss integral modification by the Green theorem.

11. Conversion of the Green theorem into the Helmholtz integral.

12.Expression of interior souhd field by means of zhe Huygens-Helmholtz integral.

13.Expression of sound field in front of infinite vibrating.

14.Analysis of chosen diffraction fenomena.

15.Analysis of acoustical uncertainties.

16. FINAL COLLOQUIM!!!

Syllabus of tutorials:

Study Objective:

Study materials:

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans:

• Doctoral studies, daily studies (compulsory elective course)
• Doctoral studies, combined studies (compulsory elective course)
• Doctoral studies, structured daily studies (compulsory elective course)
• Doctoral studies, structured combined studies (compulsory elective course)