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We aim to recover the location and the shape of a single cavity $\\omega$ (with boundary $\\gamma$) contained in a domain $\\Omega$ (with boundary $\\Gamma$) from the knowledge of the Dirichlet-to-Neumann (DtN) map $\\Lambda_\\gamma: f \\longmapsto \\partial_n u^f|_{\\Gamma}$, where $u^f$ is harmonic in $\\Omega\\setminus\\overline{\\omega}$, $u^f|_{\\Gamma}=f$ and $u^f|_{\\gamma}=c^f$, $c^f$ being the constant such that $\\int_{\\gamma}\\partial_n u^f\\,{\\rm d}s=0$. 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