Direct image reconstruction from a Fourier intensity pattern using HERALDO

Abstract

We present what we believe to be the first experimental demonstration of a novel coherent lensless imaging technique: holography with extended reference by autocorrelation linear differential operator. Upon taking derivatives of the field autocorrelation this technique allows the direct reconstruction of an object complex-valued transmissivity from a measurement of its Fraunhofer diffraction pattern. We show reconstruction examples using a parallelogram, a thin slit, and a triangle as extended references.

© 2008 Optical Society of America

Holography with extended reference by autocorrelation linear differential operation

Manuel Guizar-Sicairos and James R. Fienup
Opt. Express 15(26) 17592-17612 (2007)

Holographic x-ray image reconstruction through the application of differential and integral operators

Manuel Guizar-Sicairos, Diling Zhu, James R. Fienup, Benny Wu, Andreas Scherz, and Joachim Stöhr
Opt. Lett. 35(7) 928-930 (2010)

Direct reconstruction of an object from dual exposure Fourier intensity measurements

Tae Moon Jeong, Jong Rak Park, Do-Kyeong Ko, and Jongmin Lee
Appl. Opt. 48(15) 2890-2898 (2009)

Reconstructing symmetric images from their undersampled Fourier intensities

R. P. Millane and W. J. Stroud
J. Opt. Soc. Am. A 14(3) 568-579 (1997)

Fourier transform holography with extended references using a coherent ultra-broadband light source

Vasco T. Tenner, Kjeld S. E. Eikema, and Stefan Witte
Opt. Express 22(21) 25397-25409 (2014)