Low-frequency acoustic source localization based on the cross-spectral time reversal method corrected in wavenumber domain

•Sub-wavelength focusing can be achieved via TR without calculating matrix inverse.•The new method including more evanescent waves realizes the accurate location of low-frequency sound sources.•Spatial resolution reaches 1/34 wavelength at 100 Hz by near-field measurement.•High resolution performance can remain stable even in 0 dB strong noise environment.