Abstract Details
| Non-iterative Coherent Diffractive Imaging Using HERALDO | |
|---|---|
| Abstract ID | I&D-07 |
| Presenter | Manuel Guizar-Sicairos |
| Presentation Type | Poster |
| Full Author List | M. Guizar-Sicairos (1) , J. R. Fienup (1) |
| Affiliations | (1) The Institute of Optics, University of Rochester, Rochester, NY., 14627 |
| Category | Instrumentation/Development |
| Abstract | Holography with extended reference by autocorrelation linear differential operation (HERALDO) is a robust lensless imaging technique that allows a direct, non-iterative reconstruction of the complex-valued transmissivity of an object from a measurement of its far-field intensity pattern [1]. In this approach, a boundary wave diffracted by a sharp feature from an extended structure is used as a holographic-like reference. Reconstruction is achieved by applying a linear differential operator on the field autocorrelation, readily available through an inverse Fourier transform of the measured data. In practice the collected Fourier intensity is processed by applying a suitable polynomial product and computing an inverse Fourier transform. Multiple sharp features can yield independent reconstructions that can be combined to improve the signal-to-noise ratio of the reconstruction.
HERALDO is fundamentally different from a deconvolution approach and generalizes Fourier transform holography [2] and Podorov's approach [3] to a much wider class of extended reference structures. The ability of choosing a reference structure that can be accurately manufactured promises advancing current coherent lensless imaging techniques at x-ray wavelengths. We have demonstrated the feasibility of this approach through numerical simulations and laboratory experiments performed at optical wavelengths [4]. |
| Footnotes | [1] M. Guizar-Sicairos and J. R. Fienup, "Holography with extended reference by autocorrelation linear differential operation," Opt. Express 15, 17592-17612 (2007).
[2] J. W. Goodman, Introduction to Fourier Optics, 3rd Ed. (Roberts & Company, Englewood, 2005). [3] S. G. Podorov, K. M. Pavlov and D. M. Paganin, "A non-iterative reconstruction method for direct and unambiguous coherent diffractive imaging," Opt. Express 15, 9954-9962 (2007). [4] M. Guizar-Sicairos and J. R. Fienup, "Direct image reconstruction from a Fourier intensity pattern using HERALDO," manuscript in preparation. |
| Funding Acknowledgement | |