A perfectly conducting resonant cavity has the shape of a rectangular box where the length, width, and height are chosen as three unequal irrational numbers. Evaluate (at least) the first 105 resonant frequencies numerically, label them so that ω₁ ≤ ω₂ ≤ ω₃ ≤ · · ·, and construct a histogram of the nearest-neighbor frequency spacings of the form

Show that your histogram is well approximated by a Poisson distribution.

Transcribed Image Text:

N P(s) = Σδωk+1 Σδωk+1 - wk - s). k=1