Acoustic Cavities

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Acoustic Cavities
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Separation of Variables
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Boundary Conditions
Rigid Boundary
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Total Solution
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Quantized Allowable Frequencies
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Cylindrical Cavity
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Azimuthal Solution
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Longitudinal Solution
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Radial Solution
Bessels Equation
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Bessel Functions Append A4/5
Bessel Functions of the First Kind
Order 0 Black 1 red 2 green
What is a Hankel Function?
Bessel Functions of the Second Kind
a.k.a Webers or Neumanns function
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Radial Solution
BC
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Complete Solution
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Waveguides of Constant Cross Section
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Cutoff Frequency
Otherwise
Driving the waveguide below wlm will cause
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Phase and Group Speed