We propose and demonstrate a method for lowering the cost of ghost imaging (GI) setups by employing cheaper devices, such as a commercial projector and a light-dependent resistor. Spatial light modulators and high-quality photodiodes are often used in GI, but the cost of these devices limits its implementation in undergraduate or even graduate optics laboratories. Our proposed imaging system produces good reconstructions of our test object even at 10% spectral coverage that is well within sub-Nyquist sampling. This may be used as an alternative low-cost and easy-to-build imaging system, which we can easily extend for technological applications using wavelengths outside the visible spectrum.

1.
V.
Durán
,
F.
Soldevila
,
E.
Irles
,
P.
Clemente
,
E.
Tajahuerce
,
P.
Andrés
, and
J.
Lancis
, “
Compressive imaging in scattering media
,”
Opt. Express
23
,
14424
14433
(
2015
).
2.
G. M.
Gibson
,
B.
Sun
,
M. P.
Edgar
,
D. B.
Phillips
,
N.
Hempler
,
G. T.
Maker
,
G. P. A.
Malcolm
, and
M. J.
Padgett
, “
Real-time imaging of methane gas leaks using a single-pixel camera
,”
Opt. Express
25
,
2998
3005
(
2017
).
3.
D. V.
Strekalov
,
B. I.
Erkmen
, and
N.
Yu
, “
Ghost imaging of space objects
,”
J. Phys. Conf. Ser.
414
,
012037
(
2013
).
4.
W.-K.
Yu
,
X.-F.
Liu
,
X.-R.
Yao
,
C.
Wang
,
Y.
Zhai
, and
G.-J.
Zhai
, “
Complementary compressive imaging for the telescopic system
,”
Sci. Rep.
4
,
1
6
(
2014
).
5.
D.
Pelliccia
,
A.
Rack
,
M.
Scheel
,
V.
Cantelli
, and
D. M.
Paganin
, “
Experimental x-ray ghost imaging
,”
Phys. Rev. Lett.
117
,
113902
(
2016
).
6.
A.
Schori
,
D.
Borodin
,
K.
Tamasaku
, and
S.
Shwartz
, “
Ghost imaging with paired x-ray photons
,”
Phys. Rev. A
97
,
063804
(
2018
).
7.
A.-X.
Zhang
,
Y.-H.
He
,
L.-A.
Wu
,
L.-M.
Chen
, and
B.-B.
Wang
, “
Tabletop x-ray ghost imaging with ultra-low radiation
,”
Optica
5
,
374
377
(
2018
).
8.
A. M.
Kingston
,
D.
Pelliccia
,
A.
Rack
,
M. P.
Olbinado
,
Y.
Cheng
,
G. R.
Myers
, and
D. M.
Paganin
, “
Ghost tomography
,”
Optica
5
,
1516–1520
(
2018
).
9.
T. B.
Pittman
,
Y. H.
Shih
,
D. V.
Strekalov
, and
A. V.
Sergienko
, “
Optical imaging by means of two-photon quantum entanglement
,”
Phys. Rev. A
52
,
R3429
R3432
(
1995
).
10.
M. J.
Padgett
and
R. W.
Boyd
, “
An introduction to ghost imaging: Quantum and classical
,”
Philos. Trans. R. Soc., A
375
,
20160233
(
2017
).
11.
J. H.
Shapiro
and
R. W.
Boyd
, “
The physics of ghost imaging
,”
Quantum Inf. Process.
11
,
949
993
(
2012
).
12.
R. S.
Bennink
,
S. J.
Bentley
,
R. W.
Boyd
, and
J. C.
Howell
, “
Quantum and classical coincidence imaging
,”
Phys. Rev. Lett.
92
,
0033601
(
2004
).
13.
A.
Valencia
,
G.
Scarcelli
,
M.
D'Angelo
, and
Y.
Shih
, “
Two-photon imaging with thermal light
,”
Phys. Rev. Lett.
94
,
063601
(
2005
).
14.
A.
Gatti
,
E.
Brambilla
,
M.
Bache
, and
L. A.
Lugiato
, “
Ghost imaging with thermal light: Comparing entanglement and classical correlation
,”
Phys. Rev. Lett.
93
,
093602
(
2004
).
15.
M. P.
Edgar
,
G. M.
Gibson
,
R. W.
Bowman
,
B.
Sun
,
N.
Radwell
,
K. J.
Mitchell
,
S. S.
Welsh
, and
M. J.
Padgett
, “
Simultaneous real-time visible and infrared video with single-pixel detectors
,”
Sci. Rep.
5
,
1
8
(
2015
).
16.
J. H.
Shapiro
, “
Computational ghost imaging
,”
Phys. Rev. A
78
,
061802
(
2008
).
17.
Y.
Bromberg
,
O.
Katz
, and
Y.
Silberberg
, “
Ghost imaging with a single detector
,”
Phys. Rev. A
79
,
053840
(
2009
).
18.
M.-J.
Sun
,
X.-Y.
Zhao
, and
L.-J.
Li
, “
Imaging using hyperuniform sampling with a single-pixel camera
,”
Opt. Lett.
43
,
4049
4052
(
2018
).
19.
Y.
Wang
,
Y.
Liu
,
J.
Suo
,
G.
Situ
,
C.
Qiao
, and
Q.
Dai
, “
High speed computational ghost imaging via spatial sweeping
,”
Sci. Rep.
7
,
1
8
(
2017
).
20.
L.
Basano
and
P.
Ottonello
, “
Ghost imaging: Open secrets and puzzles for undergraduates
,”
Am. J. Phys.
75
,
343
351
(
2007
).
21.
T. A.
Kuusela
, “
Temporal ghost imaging
,”
Eur. J. Phys.
38
,
035301
(
2017
).
22.
D.
Sych
and
M.
Aksenov
, “
Computational imaging with a single-pixel detector and a consumer video projector
,”
AIP Conf. Proc.
1936
,
1
5
(
2018
).
23.
Z.
Zhang
,
X.
Ma
, and
J.
Zhong
, “
Single-pixel imaging by means of Fourier spectrum acquisition
,”
Nat. Commun.
6
,
1
6
(
2015
).
24.
Z.
Zhang
,
X.
Wang
,
G.
Zheng
, and
J.
Zhong
, “
Hadamard single-pixel imaging versus Fourier single-pixel imaging
,”
Opt. Express
25
,
19619–19639
(
2017
).
25.
P.
Zerom
,
Z.
Shi
,
M. N.
O'Sullivan
,
K. W. C.
Chan
,
M.
Krogstad
,
J. H.
Shapiro
, and
R. W.
Boyd
, “
Thermal ghost imaging with averaged speckle patterns
,”
Phys. Rev. A
86
,
063817
(
2012
).
26.
F.
Devaux
,
K. P.
Huy
,
S.
Denis
,
E.
Lantz
, and
P.-A.
Moreau
, “
Temporal ghost imaging with pseudo-thermal speckle light
,”
J. Opt.
19
,
024001
(
2017
).
27.
D. L.
Donoho
, “
Compressed sensing
,”
IEEE Trans. Inf. Theory
52
,
1289–1306
(
2006
).
28.
E. J.
Candès
, “
Compressive sampling
,” in
Proceedings of the International Congress of Mathematicians,
Madrid,
2006
,
1
20
.
29.
E. J.
Candès
and
M. B.
Wakin
, “
An introduction to compressive sampling
,”
IEEE Signal Process. Mag.
25
,
21
30
(
2008
).
30.
M. F.
Duarte
,
M. A.
Davenport
,
D.
Takhar
,
J. N.
Laska
,
T.
Sun
,
K. F.
Kelly
, and
R. G.
Baraniuk
, “
Single-pixel imaging via compressive sampling
,”
IEEE Signal Process. Mag.
25
,
83
91
(
2008
).
31.
W.
Flores-Fuentes
,
J. E.
Miranda-Vega
,
M.
Rivas-López
,
O.
Sergiyenko
,
J. C.
Rodríguez-Quiñonez
, and
L.
Lindner
, “
Comparison between different types of sensors used in the real operational environment based on optical scanning system
,”
Sensors
18
,
1
15
(
2018
).
32.
A. S.
Morris
and
R.
Langari
,
Measurement and Instrumentation: Theory and Application
(
Academic Press
,
Waltham, MA
,
2012
), p.
617
.
33.
Z.
Zhang
,
X.
Wang
,
G.
Zheng
, and
J.
Zhong
, “
Fast Fourier single-pixel imaging via binary illumination
,”
Sci. Rep.
7
,
1
9
(
2017
).
34.
J. W.
Goodman
,
Introduction to Fourier Optics
, 3rd ed. (
Roberts & Company Publishers
,
Greenwood Village, CO
,
2005
), p.
491
.
35.
S. G.
Mallat
,
A Wavelet Tour of Signal Processing: The Sparse Way
, 3rd ed. (
Academic Press
,
Burlington, MA
,
2009
), p.
805
.
36.
J.
Christenson
, “
Sensors and transducers
,” in
Handbook of Biomechatronics
, edited by
J.
Segil
(
Academic Press
,
London
,
2019
), Chap. 3, pp.
61
93
.
37.
Y.
Kraftmakher
,
Experiments and Demonstrations in Physics
(
World Scientific
,
Singapore
,
2007
), pp.
21
22
, 471.
38.
J. G.
Proakis
and
D. G.
Manolakis
,
Digital Signal Processing: Principles, Algorithms, and Applications
, 3rd ed. (
Prentice Hall
,
Upper Saddle River, NJ
,
1996
), pp.
21
25
.
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