  This paper is concerned with an inverse wavenumber/frequency-dependent source
problem for the Helmholtz equation. In two and three dimensions, the unknown
source term is supposed to be compactly supported in spatial variables but
independent on one spatial variable. The dependence of the source function on
wavenumber/frequency is supposed to be unknown. Based on the
Dirichlet-Laplacian and Fourier-Transform methods, we develop two effcient
non-iterative numerical algorithms to recover the wavenumber-dependent source.
Uniqueness proof and increasing stability analysis are carried out in terms of
the boundary measurement data of Dirichlet kind. Numerical experiments are
conducted to illustrate the effectiveness and efficiency of the proposed
methods.
