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The frequency dependence of the imaginary part of the infrared conductivityis calculated for a superconductor. Sharp structure, characteristic ofsuperconductivity with an order parameter with s-wave symmetry, appears in theBCS limit as a minimum at a frequency equal to twice the gap value. Thisstructure scales with temperature but gets progressively smeared and shifted asimpurity scattering is increased. The relationship between low frequencyresults and the zero frequency limit is investigated. Experimental results on$\BKBO$ are also presented. The low frequency imaginary part of theconductivity displays a minimum at $2\Delta \approx 12$ meV, and providesunequivocal evidence of an s-wave superconducting order parameter. Strongcoupling (Eliashberg) results show similar trends. Using this formulation wefind that the electron-phonon coupling in $\BKBO$ must necessarily be small,with coupling constant $\lambda \approx 0.2$, in agreement with conclusionsdrawn from measurements of the real part of the conductivity. Thus $\BKBO$ isan s-wave superconductor that is not driven by the electron-phonon interaction.Comment: 20 pages, for 9 Postscript figures, contact first autho

physical review. b, condensed matter

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