Entangled-photon Fourier optics

Entangled photons, generated by spontaneous parametric downconversion from a second-order nonlinear crystal, present a rich potential for imaging and image-processing applications. Since this source is an example of a three-wave mixing process, there is more flexibility in the choices of illumination and detection wavelengths and in the placement of object(s) to be imaged. Moreover, this source is entangled, a fact that allows for imaging configurations and capabilities that cannot be achieved by use of classical sources of light. We examine a number of imaging and image-processing configurations that can be realized with this source. The formalism that we utilize facilitates the determination of the dependence of imaging resolution on the physical parameters of the optical arrangement.

[1]  B. Frieden,et al.  Image recovery: Theory and application , 1987, IEEE Journal of Quantum Electronics.

[2]  Teich,et al.  Spatiotemporal coherence properties of entangled light beams generated by parametric down-conversion. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[3]  George O. Reynolds,et al.  The New Physical Optics Notebook: Tutorials in Fourier Optics , 1989 .

[4]  L. Lugiato,et al.  QUANTUM FLUCTUATIONS IN TRAVELING-WAVE AMPLIFICATION OF OPTICAL IMAGES , 1999 .

[5]  M C Teich,et al.  Role of entanglement in two-photon imaging. , 2001, Physical review letters.

[6]  B. Saleh.  Optical Bilinear Transformations: General Properties , 1979 .

[7]  Bahaa E. A. Saleh,et al.  Double-slit interference of biphotons generated in spontaneous parametric downconversion from a thick crystal , 2001 .

[8]  Shih,et al.  Two-photon geometric optics. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[9]  N. Bloembergen,et al.  Interactions between light waves in a nonlinear dielectric , 1962 .

[10]  C. Sheppard,et al.  Theory and practice of scanning optical microscopy , 1984 .

[11]  Carlos H. Monken,et al.  Transfer of angular spectrum and image formation in spontaneous parametric down-conversion , 1998 .

[12]  David N. Klyshko,et al.  The effect of focusing on photon correlation in parametric light scattering , 1988 .

[13]  P. N. Butcher,et al.  The Elements of Nonlinear Optics , 1990 .

[14]  Bahaa E. A. Saleh,et al.  Biphoton focusing for two-photon excitation , 2002 .

[15]  D. A. Kleinman,et al.  Nonlinear Dielectric Polarization in Optical Media , 1962 .

[16]  Y. Shih,et al.  Interference effects in spontaneous two-photon parametric scattering from two macroscopic regions , 1997 .

[17]  D. N. Klyshko,et al.  Two-photon optics: diffraction, holography, and transformation of two-dimensional signals , 1994 .

[18]  M. Teich,et al.  Spatial correlations of spontaneously down-converted photon pairs detected with a single-photon-sensitive CCD camera. , 1998, Optics express.

[19]  A. Sergienko,et al.  Spatiotemporal grouping of photons in spontaneous parametric scattering of light , 1985 .

[20]  W. Haase,et al.  Nonlinear Optics, Basic Concepts , 1999 .

[21]  Premjeet Kumar,et al.  NOISELESS OPTICAL AMPLIFICATION OF IMAGES , 1999 .

[22]  M. Kolobov.  The spatial behavior of nonclassical light , 1999 .

[23]  A. Bloom.  Quantum Electronics , 1972, Nature.

[24]  Kolobov,et al.  Quantum limits on optical resolution , 2000, Physical review letters.

[25]  D. Klyshko.  Photons Nonlinear Optics , 1988 .

[26]  L. Lugiato,et al.  SPATIAL STRUCTURES IN OPTICAL PARAMETRIC AMPLIFICATION , 1999 .

[27]  D. Batens,et al.  Theory and Experiment , 1988 .

[28]  Barbosa,et al.  Controlling the degree of visibility of Young's fringes with photon coincidence measurements. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[29]  M. Teich,et al.  Duality between partial coherence and partial entanglement , 2000 .

[30]  Generalized entangled-photon imaging , 1996, Conference Proceedings LEOS'96 9th Annual Meeting IEEE Lasers and Electro-Optics Society.

[31]  J. Goodman.  Introduction to Fourier optics , 1969 .

[32]  Enrico Brambilla,et al.  Quantum Entangled Images , 1999 .

[33]  A. V. Sergienko,et al.  Demonstration of the complementarity of one- and two-photon interference , 2001, quant-ph/0112065.

[34]  Francis T. S. Yu,et al.  Optical Signal Processing, Computing, and Neural Networks , 1992 .

[35]  Shih,et al.  Optical imaging by means of two-photon quantum entanglement. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[36]  Shih,et al.  Observation of two-photon "ghost" interference and diffraction. , 1995, Physical review letters.

[37]  Teich,et al.  Coherence properties of entangled light beams generated by parametric down-conversion: Theory and experiment. , 1996, Physical review. A, Atomic, molecular, and optical physics.