The eigenvalue λ introduced in this equation is related to the eigenfrequency
f and the angular frequency
ω, through
λ = i2πf = iω. Because they are independent of the pressure, the solver ignores any dipole and monopole sources unless a coupled eigenvalue problem is being solved.
Equation 11-6 applies to the 3D case. The equations solved in eigenfrequency studies in lower dimensions and for axisymmetric geometries are obtained from their time-harmonic counterparts, given in the previous subsection, by the substitution
ω2→−λ2.