In 1804, Thomas Young reported the observation of fringes in the intensity of light, and attributed it to the concept of interference between coherent sources. In this paper, we revisit this famous experiment and show how it can easily be demonstrated with digital holography. We look closely at the concept of interference with light and ask, “fringes in what?” We then show that depending on how light interferes, fringe patterns in observables other than intensity can be seen. We explain this conceptually and demonstrate it experimentally. We provide a holistic approach to the topic, aided by modern laboratory practices for a straightforward demonstration of the underlying physics.

1.
N.
Kipnis
,
History of the Principle of Interference of Light
, Science Networks. Historical Studies (
Birkhäuser Basel
,
Basel
,
1991
).
2.
T.
Young
, “
The Bakerian lecture: On the theory of light and colours
,”
Philos. Trans. R. Soc. London
92
,
12
48
(
1802
).
3.
T.
Young
, “
The Bakerian lecture: Experiments and calculations relative to physical optics
,”
Philos. Trans. R. Soc. London
94
,
1
16
(
1804
).
4.
P.
Hariharan
,
Optical Interferometry
, Electronics and Electrical (
Academic Press
,
Cambridge
,
2003
).
5.
T.
Young
,
A Course of Lectures on Natural Philosophy and the Mechanical Arts
, A Course of Lectures on Natural Philosophy and the Mechanical Arts No. v.
1
(
Johnson
,
London
,
1807
).
6.
T.
Young
, “
Chromatics
,”
Suppl. Encyclopaedia Britannica
3
,
141
63
(
1817
).
7.
L.
Allen
,
M. W.
Beijersbergen
,
R. J. C.
Spreeuw
, and
J. P.
Woerdman
, “
Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes
,”
Phys. Rev. A
45
,
8185
8189
(
1992
).
8.
A. M.
Yao
and
M. J.
Padgett
, “
Orbital angular momentum: Origins, behavior and applications
,”
Adv. Opt. Photon.
3
,
161
204
(
2011
).
9.
M.
Padgett
and
R.
Aspden
, “
Orbital angular momentum of light
,” in
Laser Beam Propagation: Generation and Propagation of Customized Light
, edited by
A.
Forbes
(
CRC Press
,
Boca Raton
,
2014
).
10.
F.
Olver
,
NIST Handbook of Mathematical Functions
(
Cambridge U.P.
,
Cambridge
,
2010
).
11.
J.
Durnin
, “
Exact solutions for nondiffracting beams. I. The scalar theory
,”
J. Opt. Soc. Am. A
4
,
651
654
(
1987
).
12.
J.
Durnin
,
J. J.
Miceli
, and
J. H.
Eberly
, “
Diffraction-free beams
,”
Phys. Rev. Lett.
58
,
1499
1501
(
1987
).
13.
J.
Davis
and
I.
Moreno
, “
Generation of laser beams by digital holograms
,” in
Laser Beam Propagation: Generation and Propagation of Customized Light
, edited by
A.
Forbes
(
CRC Press
,
Boca Raton
,
2014
).
14.
A. V.
Carpentier
,
H.
Michinel
,
J. R.
Salgueiro
, and
D.
Olivieri
, “
Making optical vortices with computer-generated holograms
,”
Am. J. Phys.
76
,
916
921
(
2008
).
15.
B. R.
Boruah
, “
Dynamic manipulation of a laser beam using a liquid crystal spatial light modulator
,”
Am. J. Phys.
77
,
331
336
(
2009
).
16.
D.
Huang
,
H.
Timmers
,
A.
Roberts
,
N.
Shivaram
, and
A. S.
Sandhu
, “
A low-cost spatial light modulator for use in undergraduate and graduate optics labs
,”
Am. J. Phys.
80
,
211
215
(
2012
).
17.
A.
Dudley
,
N.
Majola
,
N.
Chetty
, and
A.
Forbes
, “
Implementing digital holograms to create and measure complex-plane optical fields
,”
Am. J. Phys.
84
,
106
112
(
2016
).
20.
R.
Wood
, “
XLV. Some new cases of interference and diffraction
,”
Philos. Mag. Series 6
7
,
376
388
(
1904
).
21.
I.
Moreno
,
M. J.
Yzuel
,
J.
Campos
, and
A.
Vargas
, “
Jones matrix treatment for polarization Fourier optics
,”
J. Mod. Opt.
51
,
2031
2038
(
2004
).
22.
I.
Moreno
,
C.
Iemmi
,
J.
Campos
, and
M. J.
Yzuel
, “
Binary polarization pupil filter: Theoretical analysis and experimental realization with a liquid crystal display
,”
Opt. Commun.
264
,
63
69
(
2006
).
23.
I.
Moreno
,
J. A.
Davis
,
M. M.
Sánchez-López
,
K.
Badham
, and
D. M.
Cottrell
, “
Nondiffracting Bessel beams with polarization state that varies with propagation distance
,”
Opt. Lett.
40
,
5451
5454
(
2015
).
24.
S.
Vyas
,
Y.
Kozawa
, and
Y.
Miyamoto
, “
Creation of polarization gradients from superposition of counter propagating vector LG beams
,”
Opt. Express
23
,
33970
33979
(
2015
).
25.
D.
Goldstein
,
Polarized Light
, 3rd ed. (
CRC Press
,
Boca Raton, FL
,
2010
).
26.
F.
Kenny
,
D.
Lara
,
O. G.
Rodríguez-Herrera
, and
C.
Dainty
, “
Complete polarization and phase control for focus-shaping in high-NA microscopy
,”
Opt. Express
20
,
14015
14029
(
2012
).
27.
J.
Sakurai
and
J.
Napolitano
,
Modern Quantum Mechanics
, Pearson custom library (
Pearson
,
San Francisco, CA
,
2013
).
28.
J.
Goodman
,
Introduction to Fourier Optics
, McGraw-Hill Physical and Quantum Electronics Series (
Roberts & Company
,
Greenwood Village
,
2005
).
29.
S.
Franke-Arnold
,
S. M.
Barnett
,
E.
Yao
,
J.
Leach
,
J.
Courtial
, and
M.
Padgett
, “
Uncertainty principle for angular position and angular momentum
,”
New J. Phys.
6
,
103-1
103-8
(
2004
).
30.
E.
Yao
,
S.
Franke-Arnold
,
J.
Courtial
,
S.
Barnett
, and
M.
Padgett
, “
Fourier relationship between angular position and optical orbital angular momentum
,”
Opt. Express
14
,
9071
9076
(
2006
).
31.
B.
Jack
,
M. J.
Padgett
, and
S.
Franke-Arnold
, “
Angular diffraction
,”
New J. Phys.
10
,
103013
(
2008
).
32.
I. A.
Litvin
,
A.
Dudley
,
F. S.
Roux
, and
A.
Forbes
, “
Azimuthal decomposition with digital holograms
,”
Opt. Express
20
,
10996
11004
(
2012
).
33.
I.
Moreno
,
C.
Iemmi
,
J.
Campos
, and
M. J.
Yzuel
, “
Jones matrix treatment for optical Fourier processors with structured polarization
.”
Opt. Express
19
,
4583
4594
(
2011
).
34.
A.
Dudley
,
G.
Milione
,
R. R.
Alfano
, and
A.
Forbes
, “
All-digital wavefront sensing for structured light beams
,”
Opt. Express
22
,
14031
14040
(
2014
).
35.
T.
Bauer
,
S.
Orlov
,
U.
Peschel
,
P.
Banzer
, and
G.
Leuchs
, “
Nanointerferometric amplitude and phase reconstruction of tightly focused vector beams
,”
Nature Photon.
8
,
23
27
(
2014
).
36.
T.
Bauer
,
P.
Banzer
,
E.
Karimi
,
S.
Orlov
,
A.
Rubano
,
L.
Marrucci
,
E.
Santamato
,
R. W.
Boyd
, and
G.
Leuchs
, “
Observation of optical polarization Möbius strips
,”
Science
347
,
964
966
(
2015
).
37.
A.
Aspect
,
P.
Grangier
, and
G.
Roger
, “
Experimental tests of realistic local theories via Bell's theorem
,”
Phys. Rev. Lett.
47
,
460
463
(
1981
).
38.
E.
Sjöqvist
,
A. K.
Pati
,
A.
Ekert
,
J. S.
Anandan
,
M.
Ericsson
,
D. K. L.
Oi
, and
V.
Vedral
, “
Geometric Phases for Mixed States in Interferometry
,”
Phys. Rev. Lett.
85
,
2845
2849
(
2000
).
39.
M.
Zych
,
F.
Costa
,
I.
Pikovski
, and
Č.
Brukner
, “
Quantum interferometric visibility as a witness of general relativistic proper time
,”
Nat. Commun.
2
,
505-1
505-7
(
2011
).
40.
A.
Aspect
,
P.
Grangier
, and
G.
Roger
, “
Experimental realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment: A new violation of Bell's inequalities
,”
Phys. Rev. Lett.
49
,
91
94
(
1982
).
41.
P.
Grangier
,
A.
Aspect
, and
J.
Vigue
, “
Quantum interference effect for two atoms radiating a single photon
,”
Phys. Rev. Lett.
54
,
418
421
(
1985
).
42.
C. K.
Hong
,
Z. Y.
Ou
, and
L.
Mandel
, “
Measurement of subpicosecond time intervals between two photons by interference
,”
Phys. Rev. Lett.
59
,
2044
2046
(
1987
).
43.
M.
Arndt
,
O.
Nairz
,
J.
Vos-Andreae
,
C.
Keller
,
G.
Van der Zouw
, and
A.
Zeilinger
, “
Wave–particle duality of C60 molecules
,”
Nature
401
,
680
682
(
1999
).
44.
See supplemental material at http://dx.doi.org/10.1119/1.4948604E-AJPIAS-84-009606 for Matlab codes.

Supplementary Material

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