Download PDF by Leibniz Gottfried Wilhelm: A Unitary Principle of Optics, Catoptrics, and Dioptrics

By Leibniz Gottfried Wilhelm

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Due to the localization, the initial state packet spreads with a velocity h/(M Äx). Hence, the maximum measurement time, T, should be chosen so that (h/M Äx)T := 2Äx, or T = 2M Äx 2 /h. With Eq. 2, this yields the diffraction limited resolution ÄXDIFF = (2~F) t, (5) which is identical to the acceleration limited resolution. Using in Eq. 3 for Äxv EL a value of V x approximately equal to the diffraction velo city, and solving for Äx yields the same result, which shows that the diffraction limit is a just a special case of velo city limited resolution.

71, 3271 (1993). [9] W. Zhang, D. F. Walls, and B. C. Sanders, Phys. Rev. Lett. 72, 60 (1994). [10] J. E. Thomas, Opt. Lett. 14, 1186 (1989). [11] J. E. Thomas, Phys. Rev. A 42, 5652 (1990). [12] J. D. Miller, R. A. Cline, and D. J. Heinzen, Phys. Rev. A 47, R4567 (1993). [13] J. E. Thomas and L. J. Wang, Phys. Rev. A 49, 558 (1994). [14] K. D. Stokes, C. Schnurr, J. R. Gardner, M. Marable, G. R. Welch, and J. E. Thomas, Phys. Rev. Lett. 67, 1997 (1991). [15] V. P. Chebotayev, B. Ya. Dubetsky, A.

INTRODUCTION The recent experimental realizations of light-induced diffraction gratings [1-3] and evanescent wave mirrors [4,5] for atoms have led to considerable theoretical interest in understanding how these devices may possibly be employed as optical elements for atomic interferometry. To date, most analyses have been concerned with preserving atomic coherence throughout the interaction and have thus sought conditions under which spontaneous emission may be avoided [6-8]. This usually requires a large detuning between the optical and atomic frequencies, reducing the strength of the interaction.

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A Unitary Principle of Optics, Catoptrics, and Dioptrics by Leibniz Gottfried Wilhelm


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