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Novel Light-Field Imaging Device with Enhanced Light Collection for Cold Atom Clouds

JINST 17 P08021

This work was supported by the Department of Energy, Laboratory Directed Research and Development program at SLAC National Accelerator Laboratory, under contract DE-AC02-76SF00515

Sanha Cheong on behalf of SLAC MAGIS Group

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Atom Interferometers

Atom Interferometer

  • Optical interferometer “flipped”
  • De-localized matter-wave over two paths
  • Lasers for excitation, momentum transfer, etc.
  • Phase sensitive to spacetime area, properties of two states, etc.

Gradiometer or “Differential” Interferometer

  • Two atom interferometers separated by some distance
  • Driven by a common laser ⇒ Laser noises cancel
  • Differential phase sensitive to baseline length and energy splitting

Image from�Hogan Lab Website

Image from�arXiv:2104.02835

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MAGIS Concept

MAGIS Experiment

  • Sr clock gradiometer separated by large baseline
  • Sensitive to photon- or electron-coupling ultra-light dark matter
  • Sensitive to mid-band GW
  • 100m experiment currently under construction @ Fermilab
  • Science paper: arXiv:2104.02835
  • Also highlighted in Snowmass CF2 whitepaper recently

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Imaging Requirements at Atom Interferometers

Expected for MAGIS and typical for many atomic experiments:

  • Fluorescing cold atom clouds
    • O(mm) in overall size
    • O(100 µm) feature sizes
  • Capturing 3D light field
    • Intensity + direction approach to imaging
    • Increase the light gathering ability of imaging
  • Challenges
    • Limited number of viewports in experiments
    • More light → larger lens → shallow depth of field
    • Common limitation in many atomic experiments

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Mirrors to the Rescue

Geometry of a single “view”

Redirect light that is not traveling to the lens with mirrors

Each view direction from the object is mapped to a unique point on the sensor

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Spatially Multiplexed Light Field Imaging

Array of mirrors around the atom cloud

  • Place virtual objects on the focal plane
  • Design to capture light from one hemisphere

Images of different views through different mirrors

Capture 3D information & collect more light

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Demonstrator

  • 3D printed mechanical support for 5mm mirrors
  • Target held with 100 µm fibers
  • Optical alignment with In-situ grid ~ 1o

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Test Object: DOE Cube

  • 3D printed test object�(projection micro-stereolithography)
  • Absorbs at 405 nm
  • Fluoresces at 430 - 550 nm

(This is 150 µm thread, final images taken with 100 µm threads)

Microscope images of each face

CAD model

1 mm

1 mm

1 mm

143 µm

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3D Reconstruction & View Synthesis

  • Very popular in computer vision/graphics community
    • Take multiple views from different angles
    • Learn underlying scene/volume
    • Generate new views @ different angles
  • NeRF: Neural Radiance Fields
    • NN to encode radiance field over volume
  • NeuS: Neural Implicit Surfaces
    • Uses “signed distance function”
    • Focuses on surface reconstruction

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3D Reconstruction Demo Examples

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Results: Raw Images

  • Patch extraction of each view
  • Select good alignment and illumination
    • 77/90 selected

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Results: Learning 3D Structure via NeuS

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Results: 3D Reconstruction

  • 90 mirrors, 77 views selected for reconstruction
  • Reconstruction using NeuS

Reconstructed mesh surface

Comparison of CAD, microscope,�and learned depth map

Interpolated views (SDF + Color)

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Results: Reconstruction Performance

  • Fourier Shell Correlation (FSC) as a measure of 3D reconstruction performance
    • Correlation between two density distributions
  • Comparison between two independent reconstructions (using half of the dome)
  • System achieves design specifications!

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Summary

  • Successful demonstration of spatially multiplexed�light-field imaging for 1mm3 object with 100 µm features
  • Paper published at JINST 17 P08021
  • Broad applicability to atom interferometry and beyond
  • Ongoing / Future works
    • Installing at Stanford lab and imaging real atom clouds
    • Full 3D reco. of MOT and dipole traps

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    • Laser wavefront aberration studies using 3D atom clouds�(collaboration with Kovachy lab @ Northwestern)

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Thank You

Ariel Schwartzman

Murtaza Safdari

Sanha Cheong

Michael Kagan

Sean Gasiorowski

Maxime Vandegar

Joseph Frisch

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MAGIS-100 - BSM Physics Potential

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Determining Mirror Parameters

On Axis View

Off Axis View

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Mirror Parameters - Using The Magic of Ellipses!

Reflections, Directrix, Rays

Working Example

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Results: Alignment Tolerance

  • Fourier Shell Correlation (FSC) as a measure of 3D reconstruction performance
  • Simulation study with tomographic atom cloud density
  • 100 um resolution possible with upto 0.6 mm or 2o alignment errors

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