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We report measurements of anisotropy in the cosmic microwave backgroundradiation over the multipole range l ~ 200 - 3500 with the Cosmic BackgroundImager based on deep observations of three fields. These results confirm thedrop in power with increasing l first reported in earlier measurements withthis instrument, and extend the observations of this decline in power out to l\~ 2000. The decline in power is consistent with the predicted damping ofprimary anisotropies. At larger multipoles, l = 2000 - 3500, the power is 3.1sigma greater than standard models for intrinsic microwave backgroundanisotropy in this multipole range, and 3.5 sigma greater than zero. Thisexcess power is not consistent with expected levels of residual radio sourcecontamination but, for sigma_8 >~ 1, is consistent with predicted levels due toa secondary Sunyaev-Zeldovich anisotropy. Further observations are necessary toconfirm the level of this excess and, if confirmed, determine its origin.

The Anisotropy of the Microwave Background tol= 3500: Deep Field Observations with the Cosmic Background Imager