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Helmholtz equations derives from the wave equation by using separation of variables and assuming that the solution is indeed separable ##g(x,y,z,t) = f(x,y,z) T(t)##. The solutions to Helmholtz equations are functions of space, like f(x,y,z), and do not depend on time t.

the wavevector ##k = \frac{2\pi}{\lambda}## is present in the equation. Is that a constant or a variable? Solutions can span a spectrum of ##k## values so I don't believe the ##k## in the equation can be a constant otherwise the equation would be limited to function having a single and specific k value....

Thanks

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# I Wavevector k in Helmholtz Equation

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