Comparison of an integral equation on energy and the ray-tracing technique in room acoustics

2000 ◽  
Vol 108 (4) ◽  
pp. 1732-1740 ◽  
Author(s):  
A. Le Bot ◽  
A. Bocquillet
Keyword(s):  
Integral Equation ◽  
Ray Tracing ◽  
Room Acoustics

Towards a realistic ray tracing for room acoustics

2008 ◽  
Vol 123 (5) ◽  
pp. 3769-3769 ◽  
Author(s):  
Jaume Durany ◽  
Adan Garriga ◽  
Toni Mateos
Keyword(s):  
Ray Tracing ◽  
Room Acoustics

Lambertian Enclosures — A First Step towards Fast Room Acoustics Simulation

2003 ◽  
Vol 10 (1) ◽  
pp. 33-54 ◽  
Author(s):  
D. Alarcão ◽  
J. L. Bento Coelho
Keyword(s):  
Integral Equation ◽  
Markov Chain ◽  
Steady State ◽  
Statistical Method ◽  
Room Acoustics ◽  
Homogeneous Markov Chain ◽  
Acoustical Parameters ◽  
First Order ◽  
Time Discretisation ◽  
Reflecting Boundaries

A statistical method for calculation of the acoustical parameters of lambertian enclosures (that is, enclosures with diffusely reflecting boundaries) is presented. The theory considers the distribution of sound particles over the boundaries of the enclosures. The method includes the familiar Kuttruff Integral Equation. A homogeneous Markov Chain of first order is obtained through the time discretisation of the equations. Applications of this method are demonstrated for the case of a long enclosure and for the case of a real-shaped room. Decay calculations as well as steady-state sound distributions are obtained. The results show that the method is reliable, flexible, and that computation times are low.

scholarly journals Ray tracing with multi-radiation transmitters

2012 ◽  
Vol 10 ◽  
pp. 75-78
Author(s):  
R. Brem ◽  
T. F. Eibert
Keyword(s):  
Integral Equation ◽  
Ray Tracing ◽  
Field Condition ◽  
Fast Multipole Method ◽  
Near Field ◽  
Far Field ◽  
Field Region ◽  
Equation Solving ◽  
Close Proximity ◽  
Modeling Accuracy

Abstract. A restriction in using electromagnetic ray tracing for field prediction is given by the far-field condition: the results are only valid in the far-field region of the radiator. In this paper, it will be shown how ray tracing for accurate field computation can also be applied in the near-field regions of transmitters. The reduction of required large distances between transmitter and receiver is achieved by subdividing the transmitter in smaller subtransmitters. Even for complex transmitters, e.g. antennas with objects in close proximity such as metallic carrier platforms, subtransmitter models can be very efficiently generated by using the Multilevel Fast Multipole Method (MLFMM). This well-known integral equation solving technique makes very large problems in computational electromagnetics manageable. The subtransmitters can be directly generated based on this algorithm. A simulation example will show the improved modeling accuracy and options for simplification and refinement will also be discussed.

Sign in / Sign up

Export Citation Format

Share Document