The Optics Group conducts research across several areas of optics including geometrical optics, atom optics, classical optics, quantum optics, and computational imaging. Specific projects include invisibility cloaks, vector beam shaping of warm and cold atoms, quantum communication using orbital angular momentum modes, imaging of high-dimensional spatial entanglement, and real-time compressive video reconstruction using deep learning. The group engages in public outreach activities to promote understanding of optics and quantum technologies.
6. Fresnel Cones
λ/4 waveplate in cylindrical coordinates:
Radwell et al., Nature Communications 10564 (2016)
𝜎−
𝐶𝑜𝑛𝑒
𝑒2𝑖(𝜑+𝜋/4) 𝜎− + 𝜎+
OAM of 2ℏ
Polarisation vortex
7. Cold Atoms
Spatially dependent EIT
𝜎+
𝜎−
The orthogonal 𝜎+ and 𝜎− light
components don’t interfere, and
the light intensity has the typical
doughnut structure.
The atoms are driven into a spatially dependent
dark state: their opacity varies azimuthally, which
can be seen in the transmitted intensity profile.
Radwell et al., Phys. Rev. Lett. 123603 (2015)
𝑞 − 𝑝𝑙𝑎𝑡𝑒
𝑟𝑢𝑏𝑖𝑑𝑖𝑢𝑚
… and
after
atoms
before…
9. Telescope Windows and Pixelated
Optics
J. Courtial et al, New Journal of Physics 10 083033 (2008)
E Cowie et al, Proc. SPIE 10376, 103760I (2017)
J Courtial et al, Vol. 35, No. 7 Journal of the Optical Society of America A (2018)
11. Broadband vector beam generation
Chromatic dispersion
SLM2SLM1
Polarisation
map of a
single radial
vector beam,
imaged from
555-655nm
Using a pair of SLMs in a Sagnac Interferometer to generate 100nm bandwidth
vector beams
Compensated
Vector beam
13. Quantum Communication
We have shown that for a
restricted transmission and
or measurement aperture
the information capacity of
the LG modal set may
exceed that of the HG set.
Bell Experiment Setup
S. Restuccia et al, Opt. Express, 27127–36 (2016)
14. Quantum Gyroscope
Hong-Ou-Mandel interferometer
measurement in a rotating frame.
Looking for evidence of a time
delay induced on a single photon
by non-inertial motion
i.e. trying to reproduce the sagnac
effect with a quantum system.
HOM experimental setup
∆𝜑 =
4𝜋Ω𝑅𝐿
𝜆𝑐
Phase Length
∆𝑙 =
2Ω𝑅𝐿
𝑐
15. Spatial Entanglement
UV pump
355nm
BBO type I
degenerate
light cone
far-field
image plane
x
length of crystal and
size of
pump
EPR criterion for an entangled state
17. We calculate the joint probability
distributions for both the x and y
coord’s in both the image plane and
far-field.
We observe a strong correlation in
position and anti-correlation in
momentum.
Our results: EPR type correlations
400x below the classical limit!
~ 50 spatial modes in x and y
2500 entangled states
extremely high dimensionality
positionmomentum
M. Edgar et al, Nature Communications 3:984 (2012)
Imaging High-Dimensional
Entanglement
22. 𝜎 𝑎𝑛𝑡𝑖 𝑐𝑜𝑟𝑟𝑒𝑙𝑎𝑡𝑒𝑑
𝜎 𝑢𝑛𝑐𝑜𝑟𝑟𝑒𝑙𝑎𝑡𝑒𝑑
<
Position sensitivity enhancement of 17%
which was dependent on:
• Width of the scanning wire
• Degree of correlation, i.e. total QE
Ermes Toninelli et al, Opt. Express 25, 21826-21840
(2017)
24. Ghost Imaging
Paul-Antoine Moreau et al, Opt. Express 26, 7528-7536 (2018)
Assessing the resolution limits of ghost imaging compared to conventional imaging.
25. Ghost imaging ≠ to heralded imaging
Large pump beam Small pump beam
HeraldedimagingGhostimaging
Resolution
NOT DEGRADED
by diameter of
pump beam
Resolution
IS DEGRADED
by diameter of
pump beam
Medium pump beam
Ghost Imaging
27. Single-Pixel Cameras
Rather than using a pixelated sensor to
sense the intensity at each position in the
image the DMD encodes spatial information
into a series of measurements.
pattern
intensity
Each measurement probes a different subset of
the spatial information in the scene.
The spatially encoded measurements are used
within computer algorithm to reconstruct images.
The number of measurements required and the
rate these are made determines acquisition time.
The type of algorithm chosen and how it is
implemented determines reconstruction time.
Important considerations for real-time operation.
28. Compressive Sensing
In the scenario where fewer measurements than the number of pixels are
made, the problem is under-determined and hence there are an infinite number
of solutions that fit the data.
However the theory of compressive sensing1 asserts that a suitable
optimisation algorithm can recover the image from sub-Nyquist measurements
by exploiting the underlying sparsity.
It is this sparsity in natural images that allows JPEG compression to work, and
the same applies to the game of 20 questions!
Donoho, D. L, Communications on pure and applied mathematics. 59: 797–829 (2006).
Foveated single-pixel imaging
Phillips, D. et al. Science Advances 3(4) (2017)
29. • Close collaboration between computing science (Rod Murray-Smith, Catherine
Higham) and physics (Matthew Edgar, Miles Padgett) has resulted in new sensing
and reconstruction techniques that utilise deep-learning.
• Using only 666 patterns (4% of Nyquist) yields high-quality video at 15 fps.
Previous technique: evolutionary
Hadamard scan using 666 patterns
Deep-learning technique: deep-learned
basis of 666 patterns and reconstruction
Deep-Learning Real-Time Compressive Video
C Higham et al, Scientific Reports 8, 2369 (2018)
30. Real-Time Methane Imaging
In partnership with M Squared Lasers we
developed a compact portable single-pixel
(InGaAs) camera prototype sensitive to
shortwave infrared wavelengths (800nm-
1800nm).
Tuning a 1650nm active illumination laser
on and off an absorption line of methane
causes parts of the image to “blink”.
Reconstruct low resolution methane images
in real-time at a rate of 25fps on a standard
computer processor.
Image is then overlaid onto a high-resolution
colour image acquired by a co-aligned visible
camera.
32. Using single pixel imaging to view the modes
of an optical fibre.
Future work to measure individual states to
develop OAM communications via fibre optic
transmission for high bandwidth
Optical Fibre Mode Imaging
33. Single pixel imaging of fluorescence
lifetimes, enables simpler, adaptive and
lower-cost systems to be developed.
Plans to collaborate with a company to
study the feasibility of building a
commercial system.
Fluorescence Lifetime Imaging
34. Multimode fibre output when
scanning spot on input facet.
Fibre output after using a
measured transmission matrix.
Early attempt at 3D imaging with
illumination from scanning spot beyond a
multimode fibre.
3D Imaging Beyond Multimode Fibres
d
A completely fibre-based imaging system would
require collecting back-scattered light through a fibre
to photodetector.
A standard multimode fibre at a range of 5 metres
away from an object would see only 1 in every 109
photons returning.
35. Dual-Band Single-Pixel Telescope
A remote control system with low-cost compute board
compute
board
ipad
(remote control)
DMD
detectors
Single-pixel telescope imaging at 64x64, 1.22fps
39. Reversal of Orbital Angular Momentum
arising from an Extreme Doppler Shift
When observer chases after the sound emitted
from an ambulance siren at supersonic speeds
it creates what we might call a ‘negative’
frequency.
At certain velocities, the observer would hear
the sound of the siren backwards instead of
the familiar repetitive rise and fall, because the
observer is now moving faster than the sound
they are hearing – the most recent sound it
makes will reach the observer ahead of those
it made in the past, the opposite of how sound
travels at subsonic speeds
G Gibson et al, Proceedings of the National Academy of Sciences 201720776 (2018)
41. Royal Society Summer Science Exhibition (2014)
Cheltenham Science Festival (2018)
Glasgow Science Centre
‘Making the invisible visible’ (2017)
Creative Cameras
Hunterian Museum (2015)
Public Engageme
Hunterian Museum at Glasgow Univer
exhibition including regular talks on lig
Quantum technologies versus
zombie apocalypse (2016)
AR App for Mobile Quantum
Imaging Outreach (2018)
Generates spatially varying polarisation patterns from uniform input light in a broadband manner due to total internal reflection (phase shift between the s and p polarisation components at the cone surface; the definition of s and p varies azimuthally)
Output beam carries OAM
Can be used to generate radial or azimuthal polarisation
Can be used as a polarimeter for uniform polarisation
Vector beams, generated from cones, DMDs/SLMs, or q-plates as shown here, in conjunction with carefully controlled magnetic fields can lead to phase-dependent absorption in cold atoms
In this scenario atoms are transparent for one linear polarisation – similar to polariser, direction of which is dictated by the direction of external magnetic field: can be used to measure small magnetic field deflections
Atoms also give rise to potentially massive dispersion due to Kramers-Kronig relations, leading to slow light – potential to use as a spatially dependent quantum memory
Potential use in low vision aids for people with impaired vision.
Top is two sheets of lenslets, placed confocally (i.e. a telescope).
Bottom is an array of dove prisms (a) and a confocal lenslet array (b). Here (b) is the same as (c) above. Two sheets of (b), suitably placed, rotate the view.
Right, is this in action with (cheapish) lenslets.
The end goal of Kevin’s broadband beam shaper is to have arbitrary spatial control and polarisation control of either white light or ultrashort pulses of light. This is a similar goal to Neal’s achromatic vortex beam with the glass cone, except I can theoretically generate any polarisation, not just the shapes dictated by the cone shape.
There is interest in the use of spatial optical modes for encoding both quantum and classical information.
At the most fundamental level, a photon has many degrees of freedom: polarisation, frequency, position, spatial mode, etc., any of which can be used to encode information but all create additional channels.
However at the quantum regime, the extent to which one can encode information simultaneously and independently in both the position and momentum variables is limited by the uncertainty principle, which applies also for angular position and angular momentum.
A commonly used source of entanglement is a pumped beta-barium-borate (BBO) crystal.
One technique to generate spatially entangled light and that was used in this experiment relies on pumping a non linear beta barium borate, or BB0, crystal with 355nm UV light. Approximately one in a billion of these photons will split into two photons at around 710 nm wavelength, due to energy conservation. In the image plane we observe correlations in the positions of the photons and in the far-field we will find anti-correlations in their measured momenta.
The error in the locations of the photons in the imaging plane is defined by the length of the crystal and the wavelength of the degenerate light.
The sum of the positions in the far-field will be centred around zero, with an error defined by the size of the pump beam.
Recent years have seen a rapid advance in imaging technologies. Developments in low-noise electron multiplying CCD (EMCCD) cameras suggest they are capable of ~ 90% QE and can provide single photon sensitivity.