Space-invariant achromatic grating interferometers: theory

Chang, Betty L.; Alferness, R. C.; Leith, Emmett N.

doi:10.1364/ao.14.001592

Cited by 94 publications

(39 citation statements)

References 16 publications

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“…3, taking advantage of the well-known tendency of SFHe to flow up walls and coat the inside of its container. Note that the exact horizontality of the beam is not crucial, thanks to the incident-angle independence of the Mach-Zehnder arrangement [6]. …”

Section: Beammentioning

confidence: 99%

Measuring antimatter gravity with muonium

Kaplan

Mancini

Phillips

et al. 2015

EPJ Web of Conferences

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Abstract.The gravitational acceleration of antimatter,ḡ, has never been directly measured and could bear importantly on our understanding of gravity, the possible existence of a fifth force, and the nature and early history of the universe. Only two avenues for such a measurement appear to be feasible: antihydrogen and muonium. The muonium measurement requires a novel, monoenergetic, low-velocity, horizontal muonium beam directed at an atom interferometer. The precision three-grating interferometer can be produced in silicon nitride or ultrananocrystalline diamond using state-of-the-art nanofabrication. The required precision alignment and calibration at the picometer level also appear to be feasible. With 100 nm grating pitch, a 10% measurement ofḡ can be made using some months of surface-muon beam time, and a 1% or better measurement with a correspondingly larger exposure. This could constitute the first gravitational measurement of leptonic matter, of 2nd-generation matter and, possibly, the first measurement of the gravitational acceleration of antimatter.

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Section: Beammentioning

confidence: 99%

Measuring antimatter gravity with muonium

Kaplan

Mancini

Phillips

et al. 2015

EPJ Web of Conferences

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“…The analysis by Leith et al [2][3][4] was based on a first-order approximation of the transfer function of free space. It was found that nonlocalized fringes form for polychromatic plane-wave illumination at any angle e and localized fringes form for extended sources (multiple illumination angles), regardless of source spectral bandwidth (color content).…”

Section: Previous Work On the Parallel Two-grating Interferometermentioning

confidence: 99%

Tilt sensitivity of the two-grating interferometer

Anderson

Naulleau

2008

Appl. Opt.

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Fringe formation in the two-grating interferometer is analyzed in the presence of a small parallelism error between the diffraction gratings assumed in the direction of grating shear. Our analysis shows that with partially coherent illumination, fringe contrast in the interference plane is reduced in the presence of nonzero grating tilt with the effect proportional to the grating tilt angle and the grating spatial frequencies. Our analysis also shows that for a given angle between the gratings there is an angle between the final grating and the interference plane that optimizes fringe contrast across the field.

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“…With an achromatic grating interferometer [3][4] for example, the lateral position of a point radiator is mapped into the spatial frequency of a sinusoidal fringe pattern. The moving scatterers would therefore create fringe patterns of varying frequencies.…”

Section: %mentioning

confidence: 99%

Holographic Imaging Through Scattering Media.

Tai¹,

Aleksoff²

1980

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Space-invariant achromatic grating interferometers: theory

Cited by 94 publications

References 16 publications

Measuring antimatter gravity with muonium

Measuring antimatter gravity with muonium

Tilt sensitivity of the two-grating interferometer

Holographic Imaging Through Scattering Media.

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