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We compute the fluctuations in gravitational lens image positions and timedelay caused by large scale structure correlations. We show that thesefluctuations can be expressed as a simple integral over the density powerspectrum. Using the {\sl COBE} normalization we find that positions of objectsat cosmological distances are expected to deviate from their true positions bya few arcminutes. These deflections are not directly observable. The positionsof the images relative to one another fluctuate by a few percent of therelative separation, implying that one does not expect multiple images to beproduced by large scale structures. Nevertheless, the fluctuations are largerthan the observational errors on the positions and affect reconstructions ofthe lens potential. The time delay fluctuations have a geometrical and agravitational contribution. Both are much larger than the expected time delayfrom the primary lens, but partially cancel each other. We find that largescale structure weakly affects the time delay and time delay measurements canbe used as a probe of the distance scale in the universe.Comment: 20 pages, AAS Latex, ApJ, in press 1994, preprint MIT-CSR-94-0

Large-scale structure effects on the gravitational lens image positions and time delay