Consider the Helmholtz Equations with a perturbation p(r)
[gradient^2 + p(r) + omega^2/c(r)^2 ]u(r,w) = 0
Does anyone know where I can find resources to the solutions/discussion of this equation? I can find many things such that p(r) = 0 , but the RHS = forcing function, but that is not what I want.
Likewise, any resources pertaining to the wave equation with a perturbation would also be nice
[gradient^2 + p(r) - 1/c(r)^2 * del^2/delT^2]u(r,t) = 0
[gradient^2 + p(r) + omega^2/c(r)^2 ]u(r,w) = 0
Does anyone know where I can find resources to the solutions/discussion of this equation? I can find many things such that p(r) = 0 , but the RHS = forcing function, but that is not what I want.
Likewise, any resources pertaining to the wave equation with a perturbation would also be nice
[gradient^2 + p(r) - 1/c(r)^2 * del^2/delT^2]u(r,t) = 0