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Large-scale optical-field measurements with geometric fibre constructs


Optical fields are measured using sequential arrangements of optical components such as lenses, filters, and beam splitters in conjunction with planar arrays of point detectors placed on a common axis1. All such systems are constrained in terms of size, weight, durability and field of view. Here a new, geometric approach to optical-field measurements is presented that lifts some of the aforementioned limitations and, moreover, enables access to optical information on unprecedented length and volume scales. Tough polymeric photodetecting fibres drawn from a preform2 are woven into light-weight, low-optical-density, two- and three-dimensional constructs that measure the amplitude and phase of an electromagnetic field on very large areas. First, a three-dimensional spherical construct is used to measure the direction of illumination over 4π steradians. Second, an intensity distribution is measured by a planar array using a tomographic algorithm. Finally, both the amplitude and phase of an optical wave front are acquired with a dual-plane construct. Hence, the problem of optical-field measurement is transformed from one involving the choice and placement of lenses and detector arrays to that of designing geometrical constructions of polymeric, light-sensitive fibres.

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Figure 1: Photodetecting fibres.
Figure 2: Omnidirectional light detection.
Figure 3: Reconstructing an arbitrary optical intensity distribution with a planar fibre web.
Figure 4: Non-interferometric lensless imaging using two fibre webs.


  1. Saleh, B. E. A. & Teich, M. C. Fundamentals of Photonics (Wiley, New York, 1991).

    Book  Google Scholar 

  2. Bayindir, M. et al. Metal–insulator–semiconductor optoelectronic fibres. Nature 431, 826–829 (2004).

    Article  Google Scholar 

  3. Bayindir, M. et al. Fibre photodetectors codrawn from conducting, semiconducting and insulating materials. Opt. Photon. News 15, 24 (2004).

    Article  Google Scholar 

  4. Kak, A. C. & Slaney, M. Principles of Computerized Tomographic Imaging (IEEE Press, New York, 1988).

    Google Scholar 

  5. Gerchberg, R. W. & Saxton, W. O. A practical algorithm for the determination of phase from image and diffraction plane pictures. Optik 35, 237–246 (1972).

    Google Scholar 

  6. Saxton, W. O. Computer Techniques for Image Processing in Electron Microscopy (Academic, New York, 1978).

    Google Scholar 

  7. Fienup, J. R. Phase retrieval algorithms: a comparison. Appl. Opt. 21, 2758–2769 (1982).

    Article  Google Scholar 

  8. Cederquist, J. N., Fienup, J. R., Marron, J. C. & Paxman, R. G. Phase retrieval from experimental far-field speckle data. Opt. Lett. 13, 619–621 (1988).

    Article  Google Scholar 

  9. Bates, R. H. T. Fourier phase problems are uniquely soluble in more then one dimension. I: Underlying theory. Optik 61, 247–262 (1982).

    Google Scholar 

  10. Miao, J., Sayre, D. & Chapman, H. N. Phase retrieval from the magnitude of the Fourier transforms of nonperiodic objects. J. Opt. Soc. Am. A 15, 1662–1669 (1988).

    Article  Google Scholar 

  11. Bayindir, M., Abouraddy, A. F., Arnold, J., Joannopoulos, J. D. & Fink, Y. Thermal fibre grids for spatially resolved heat detection on large areas. Adv. Mater. 18, 845–849 (2006).

    Article  Google Scholar 

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We thank N. Orf, Y. Migdal and E. E. Bayindir for technical assistance, and M. Qi for useful discussions. This work was supported by the ISN DAAD-19-02-D-0002, US DOE DE-FG02-99ER45778 and DARPA/Christodoulou. This work was also supported in part by the MRSEC Program of the National Science Foundation under award number DMR 02-13282.

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Correspondence to Yoel Fink.

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Abouraddy, A., Shapira, O., Bayindir, M. et al. Large-scale optical-field measurements with geometric fibre constructs. Nature Mater 5, 532–536 (2006).

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