Abstract
We discuss a possibility of achieving sub-diffraction-limited resolution in coherent optical imaging using multimode squeezed light. For this purpose, we formulate a quantum theory of superresolution for object reconstruction in terms of prolate spheroidal functions. We derive the expression for ultimate resolution limit in the reconstructed object using an illumination of the full object plane by a multimode squeezed vacuum. We show that the gain in superresolution using multimode squeezed light is maximum when the Shannon number S of the imaging system is smaller than unity. This situation is realized, for example, in scanning microscopy. We present some preliminary numerical simulations aiming to demonstrate the feasibility of significant superresolution for S < 1.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References and links
M.I. Kolobov, Rev. Mod. Phys. 71, 1539 (1999).
L. A. Lugiato, M. Brambilla, and A. Gatti, in Advances in Atomic, Molecular, and Optical Physics, Vol. 40, edited by B. Bederson and H. Walther (Academic, Boston, 1999), p. 229.
A. Gatti, E. Brambilla, M. I. Kolobov, L. A. Lugiato, J. Opt. B: Quant. Semiclass. Opt. 2, 196 (2000).
C. Fabre, J. B. Fouet, and A. Maître, Opt. Lett. 25, 76 (2000).
M. I. Kolobov and C. Fabre, Phys. Rev. Lett. 85, 3789, (2000).
N. Treps, U. Andersen, B. Buchler, P. K. Lam, A. Maître, H. Bachor, C. Fabre, “Crossing the standard quantum limit for high-sensitivity measurements in optical images using non-classical light”, submitted to Nature (2001).
J. Rayleigh, in Collected Optics Papers of Lord Rayleigh, part A, (Opt. Soc. Am., Washington, 1994), p. 117.
A. Flock and D. Strelioff, Nature, 310, 397 (1984).
J. J. Art, A. C. Craftford, and R. Fettiplace, J. Physiol. (London) 371, 18P (1986).
S. Kamimura, Appl. Opt. 26, 3425 (1987).
W. Denk and W. W. Webb, Appl. Opt. 29, 2382 (1990).
J. Jelles, B. J. Schnapp, and M. P. Scheetz, Nature, 331, 450 (1988).
D. Fournier, A. Boccara, N. Amer, and R. Gerlach, Appl. Phys. Lett. 37, 519 (1980).
C. Putman, B. De Grooth, N. Van Hulst, and J. Greve, J. Appl. Phys. 72, 6 (1992).
M. Bertero, and E. R. Pike, Opt. Acta 29, 727 (1982).
M. Bertero, P. Boccacci, and E. R. Pike, Opt. Acta 29, 1599 (1982).
M. Bertero, P. Brianzi, P. Parker, and E. R. Pike, Opt. Acta 31, 181 (1984).
M. Bertero, C. De Mol, E. R. Pike, and J. G. Walker Opt. Acta 31, 923 (1984).
J.G. Walker, E. R. Pike, and M. Bertero, British patent89/13129 (6 July 1989).
R. E. Davies, Ph. D. dissertation (Department of Physics, King’s College, University of London, 1990).
M. Bertero, and C. De Mol, in Progress in Optics Vol. XXXVI, edited by E. Wolf (North-Holland, Amsterdam, 1996), p. 129.
D. Slepian and H. O. Pollak, Bell System Tech. J. 40, 43 (1961)
B. R. Frieden, in Progress in Optics Vol. IX, edited by E. Wolf (North-Holland, Amsterdam, 1971), p.311.
T. Wilson and C. J. R. Sheppard, Theory and Practice of Scanning Optical Microscopy (Academic Press, London, 1984).
W. P. Latham and M. Tilton, Appl. Opt. 26, 2658 (1987).
B. Carnahan, H. A. Luther and J. O. Wilkes, Applied Numerical Methods (Wiley, New York, 1969), p. 100.
W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vetterling, Numerical Recipes (Fortran Version) (Cambridge University Press, Cambridge, 1989), p. 125.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media New York
About this paper
Cite this paper
Kolobov, M.I., Fabre, C., Scotto, P., Colet, P., Miguel, M.S. (2003). Sub-diffraction-limited resolution with squeezed light. In: Bigelow, N.P., Eberly, J.H., Stroud, C.R., Walmsley, I.A. (eds) Coherence and Quantum Optics VIII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-8907-9_20
Download citation
DOI: https://doi.org/10.1007/978-1-4419-8907-9_20
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4715-6
Online ISBN: 978-1-4419-8907-9
eBook Packages: Springer Book Archive