Hindawi Publishing Corporation
International Journal of Optics
Volume 2012, Article ID 689612, 7 pages
doi:10.1155/2012/689612
Research Article
Generation of Optical Vortex Arrays Using Single-Element
Reversed-Wavefront Folding Interferometer
Brijesh Kumar Singh,
1
G. Singh,
2
P. Senthilkumaran,
1
and D. S. Mehta
2
1
Department of Physics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110016, India
2
Laser Applications and Holography Laboratory, Instrument Design Development Centre, Indian Institute of Technology Delhi,
Hauz Khas, New Delhi 110016, India
Correspondence should be addressed to Brijesh Kumar Singh, brijeshsingh831@gmail.com
Received 15 April 2011; Revised 7 June 2011; Accepted 8 June 2011
Academic Editor: Shunichi Sato
Copyright © 2012 Brijesh Kumar Singh et al. This is an open access article distributed under the Creative Commons Attribution
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly
cited.
Optical vortex arrays have been generated using simple, novel, and stable reversed-wavefront folding interferometer. Two new
interferometric configurations were used for generating a variety of optical vortex lattices. In the first interferometric configuration
one cube beam splitter (CBS) was used in one arm of Mach-Zehnder interferometer for splitting and combining the collimated
beam, and one mirror of another arm is replaced by second CBS. At the output of interferometer, three-beam interference gives
rise to optical vortex arrays. In second interferometric configuration, a divergent wavefront was made incident on a single CBS
which splits and combines wavefronts leading to the generation of vortex arrays due to four-beam interference. It was found that
the orientation and structure of the optical vortices can be stably controlled by means of changing the rotation angle of CBS.
1. Introduction
Optical vortices (OVs) are point phase defects, also called
phase singularities in the distribution of optical wave-fields
where both real and imaginary values of the optical fields
are zero [1]. An interesting peculiarity of point phase defects
is the helicoidal structure of the wave front around the
defect axis and is described as exp(il Φ), where l is the
topological charge and Φ is the azimuthal angle around the
defect axis. The magnitude of topological charge determines
the degree of circulation, that is, the number of 2π cycles
of phase accumulation around the vortex point. The sign
of topological charge defines the handedness or helicity of
the phase singular beam along the propagation direction
of the z-axis. An interesting aspect of a vortex beam is
that it possesses orbital angular momentum (OAM). Optical
vortices play significant role for studying OAM of light
fields [2, 3] and have been widely used in the area of
optical tweezers [4], singular optics [5], optical solitons [6],
and optical metrology [7, 8]. The most commonly used
methods for generating OVs with single or multiple charge
are synthetic holograms [9], spiral phase plates [10], liquid-
crystal cells [11], dielectric wedge [12], and higher-order
laser beams [13]. An alternative method for generating OVs
efficiently is the use of optical fibers [14] such as, a hollow-
core optical fiber for generating doughnut-shaped beam and
a holey fiber for generating hollow beam.
Recently, there has been great interest for generating
optical vortex arrays (OVAs) also called vortex lattices using
multiple beam interference [15, 16]. It has been demon-
strated that when three or more plane waves overlap in space,
complete destructive interference occurs on nodal lines, also
called phase singularities or optical vortices leading to the
generation of regular net of vortex lattices. Various optical
interferometric configurations have been implemented for
generating vortex lattices. Generation of OVAs by three-,
four- and five- plane wave interference [17], interferometric
optical vortex array generator [18, 19], creation of OV
lattices by wavefront division [20], using couple of Wollaston
prisms [21, 22], and lateral shearing interferometers [23]
have been reported. Such periodic arrays of optical vortices
have been used as phase markers [22], in optical metrology
for the measurements of small-angular rotations, tilt, ori-
entation [24–26], and birefringence [27]. But most of the
aforementioned interferometric techniques used for gener-
ating vortex lattices are based on modified Mach-Zehnder