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We propose a scheme for two-dimensional (2D) atom localization in afour-level tripod system under an influence of two orthogonal standing-wavefields. Position information of the atom is retained in the atomic internalstates by an additional probe field either of a standing or of a running wave.It is shown that the localization factors depend crucially on the atom-fieldcoupling that results in such spatial structures of populations as spikes,craters and waves. We demonstrate a high-precision localization due tomeasurement of population in the upper state or in any ground state.

2D atom localization in a four-level tripod system in laser fields