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jackhamel16 / Acoustics

Acoustic integral equation solver
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Add CFIE test #48

Closed jackhamel16 closed 3 years ago

jackhamel16 commented 3 years ago

Another important test for the CFIE is to see if it can resolve resonances over a frequency range.

  1. Determine resonances for a sphere analytically
  2. Run CFIE, MFIE and EFIE codes sweeping over one or more resonance frequencies
  3. Inspect sources from each code.
  4. Plot condition number of Z for each IE and each frequency. Condition number should be lowest for CFIE near resonances.
  5. option: Plot determinant of Z. If zero, there can be nonzero sources for zero incident fields (modes exist in cavity)
jackhamel16 commented 3 years ago

After proving the non-resonance of the CFIE, it only is the case when the imaginary component of alpha, the scale factor on the normal derivative terms in the IE, has a non-zero imaginary component. This will be available in the documentation