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4 pages, 3 figures.A theory is presented to describe the optical transmission through a rectangular hole in a real metal film. The previous theory of the transmission through a rectangular hole in a perfect electric conductor is extended to include the effects associated with having a real metal by adding surface-impedance boundary conditions and an effective index mode calculation. Both the peak and amplitude of the Fabry-Pérot resonance of the fundamental\udmode agree quantitatively with experiments. Finite-difference time-domain calculations are used to verify the theoretical findings as well as to show the effects of including loss, which is not included in the theory. The localized nature of the transmission resonances is also revealed by analyzing the electric field maps associated with the enhanced transmission process.Financial support by the Spanish MCyT under Contract No. MAT2005-06608-C02, and the EC under Projects No. FP6-2002-IST-1-507879 and No. FP6-NMP4-CT-2003-505699 is gratefully acknowledged.Peer reviewe

Transmission of light through a single rectangular hole in a real metal