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Informally speaking, a compact set in the plane
is computable, if there exists an algorithm to draw it on a
computer screen with an arbitrary resolution.
The problem experienced with low
frequencies in a regular sized rectangular listening room is
that the size, or wavelength of the low frequency
sound waves, are comparable to the actual size of the room. This, coupled with the fact that low
frequency sound waves generated by a standard
sized speaker are omni-directional, creates the recipe for
resonance build up in the listening area. The
problem with this resonance build up is that a small number of
bass frequencies will appear to be very much louder than they were intended to
be during the original recording of the media being listened to. When these resonance
frequencies are properly dealt with it has been shown that the listening experience is much more
enjoyable. The first part of my talk will examine the details of the FDTD method and how it is applied
to the field of acoustics. An examination of the benefits and pitfalls of the methods will be
outlined along with possible solutions to each problem. The second part of my talk will focus on a
method for how these room resonances can be easily simulated using a Finite Difference Time Domain
Method as well as the practical application of either adding additional speakers to a standard
stereo setup or using the existing speakers in a larger multi-channel array that will be able to
actively absorb energy and prevent unwanted resonance build up.
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