Exact design of complex amplitude holograms for producing arbitrary scalar fields

Optics Express
Cameron W JohnsonBenjamin J McMorran

Abstract

Typical methods to holographically encode arbitrary wavefronts assume the hologram medium only applies either phase shifts or amplitude attenuation to the wavefront. In many cases, phase cannot be introduced to the wavefront without also affecting the amplitude. Here we show how to encode an arbitrary wavefront into an off-axis transmission hologram that returns the exact desired arbitrary wavefunction in a diffracted beam for phase-only, amplitude-only, or mixed phase and amplitude holograms with any periodic groove profile. We apply this to design thin holograms for electrons in a TEM, but our results are generally applicable to light and X-ray optics. We employ a phase reconstruction from a series of focal plane images to qualitatively show the accuracy of this method to impart the expected amplitude and phase to a specific diffraction order.

References

Nov 3, 2007·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Victor ArrizónLuis A González
Oct 3, 2005·Optics Express·Victor ArrizónDavid Sánchez-de-La-Llave
Oct 15, 1987·Applied Optics·G Tricoles
Jan 15, 2011·Science·Benjamin J McMorranJohn Unguris
Feb 12, 2014·Optics Express·Mohammad MirhosseiniRobert W Boyd
May 13, 2014·Ultramicroscopy·Roy ShilohAdy Arie
Sep 25, 2015·Nature·Charles W ClarkDmitry A Pushin
Apr 25, 2018·Ultramicroscopy·Jo VerbeeckMartien Den Hertog
Jan 31, 2019·Optics Express·Stefano Marchesini, Anne Sakdinawat
May 7, 2019·Science Advances·S SalaP Scampoli

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