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We report on a simple method to reconstruct the band structure of a 1Doptical lattice using a thermal cloud with a momentum spread of abouttwo-photon recoils. We image the momentum distribution of a thermal cloudexposed to a standing wave potential using time-of-flight absorption images andobserve unique features. With the support of numerical calculations, we explaintheir appearance and show how they can be used to reconstruct the fullband-structure directly. While this can serve as a precise lattice depthcalibration tool, we additionally propose a method to estimate the latticedepth in a single-shot manner.

Direct reconstruction of the band structure of a 1D optical lattice with thermal atoms