Exact design of complex amplitude holograms for producing arbitrary scalar fields

Johnson, Cameron W.; Pierce, Jordan S.; Moraski, Rich C.; Turner, Amy E.; Greenberg, Alice T.; Parker, Will S.; McMorran, Benjamin J.

doi:10.1364/OE.393224

Exact design of complex amplitude holograms for producing arbitrary scalar fields

Journal Article · Tue May 26 00:00:00 EDT 2020 · Optics Express

DOI:https://doi.org/10.1364/OE.393224· OSTI ID:1630795

Johnson, Cameron W.; Pierce, Jordan S.; Moraski, Rich C.; Turner, Amy E.; Greenberg, Alice T.; Parker, Will S.; McMorran, Benjamin J.

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.

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Research Organization:: Univ. of Oregon, Eugene, OR (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: SC0010466

OSTI ID:: 1630795

Alternate ID(s):: OSTI ID: 1802111

Journal Information:: Optics Express, Journal Name: Optics Express Journal Issue: 12 Vol. 28; ISSN 1094-4087; ISSN OPEXFF

Publisher:: Optical Society of AmericaCopyright Statement

Country of Publication:: United States

Language:: English

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