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This paper presents the results of an iterative high-resolution wavenumber inversion algorithm applied to acoustic waveguides in which wave propagation is described by propagating modes. Following work on the first description of the inversion algorithm, a generalization to broadband signals is performed and experimental data are investigated. The algorithm leads to dispersion curves for propagating modes in the case of an ultrasonic waveguide and an elastic plate. Results are compared with spatial-temporal Fourier transforms.