Experimental multiplexing approach via code key rotations under a joint transform
correlator scheme
Edgar Rueda
a,
⁎, Carlos Rios
a
, John F. Barrera
a
, Rodrigo Henao
a
, Roberto Torroba
b
a
Grupo de Óptica y Fotónica, Instituto de Física, Universidad de Antioquia, A.A. 1226, Medellín, Colombia
b
Centro de Investigaciones Ópticas (CONICET-CIC) and UID OPTIMO, Facultad de Ingeniería, Universidad Nacional de La Plata, C.C.3 (1897), M. B. Gonnet, La Plata, Argentina
abstract article info
Article history:
Received 18 November 2010
Received in revised form 17 January 2011
Accepted 19 January 2011
Available online 4 February 2011
Keywords:
Encryption
Optical security
Optical information processing
We introduce a novel experimental procedure to multiplex optical information by using the joint
transform correlator architecture. The rotation of the input plane encoding mask admits the multiplexing
capability, otherwise not feasible by a simple shifting due to the classical invariance to in plane mask
translations. We realize the procedure by using an optodigital technique with a Mach–Zehnder
interferometer. We apply a virtual optical implementation to remove unwanted information and then to
reposition the encoded image, before data multiplexing. The end user employs a procedure with another
virtual optics setup, having fewer steps than other known methods, and avoiding the usual background
noise influence of non-decoded data. Actual experimental results are presented.
© 2011 Elsevier B.V. All rights reserved.
1. Introduction
As optical data encrypting systems become attractive, researchers
have made an effort to find different optical architectures to protect
the coded information. In addition to the basic 4f encrypting
architecture [1], several variations were introduced, among them
the joint transform correlator (JTC) encrypting scheme [2]. On the
other hand, several other attempts were developed to strengthen
security. We found that one important feature that reinforces optical
encryption is the multiplexing concept. This procedure brings the
chance for storing multiple messages in a single recording medium.
As examples of applications in the classical 4f scheme, we may
mention many multiplexing techniques to store multitude of images,
for instance into a single crystal, without crosstalk, including angular
[3], wavelength [4], shift [5], polarization [6], and multi-aperture
multiplexing [7]. We also find an interesting encryption proposal
using an in-plane rotation of random phase diffusers constituting a
sandwich diffuser at the Fourier plane of a 4f encoding system [8].
Although computer simulations represent an important tool to
design practical solutions, experimental results are in fact most
significant to verify and to assert the realistic constrains. We find one
experimental example in a multiplexing encryption–decryption
approach via lateral shifting of a random phase mask using 4f
architecture in reference [5]. In this sense, there are just a small
number of experimental results presented in the JTC configuration.
We propose the use of a holographic digital configuration, using the
basic JTC setup in one arm of a Mach–Zehnder interferometric
arrangement [9]. Besides, we identified and filtered the unwanted
terms in order to prevent noise.
We are particularly interested in using an approach similar to in
plane shifting, as it brings experimental flexibilities to the imple-
mentation of the technique. Unfortunately, the JTC scheme shows the
well known property of being space invariant to in plane translations
in the input plane. Therefore, such phase changes are not reflected in
the intensity record of the joint power spectrum (JPS). Instead, we
know that a simple in plane rotation of a ground glass is readily
sensed, consequently, this feature could be used instead of a
translation.
In the frame of encryption applying phase shifting protocols, we
now propose the use of successive rotations of the key encoding
diffuser placed in one window of the JTC arrangement. Therefore, we
sequentially change input objects as we introduce an adequate
rotation to the encoding diffuser. This approach combined with the
optodigital technique used in reference [9] allows us to experimen-
tally multiplex and reconstruct encrypted data. Consequently, in the
paper we propose what to our knowledge is a new multiplexing
method for security systems in the JTC architecture. This method
based on a diffuser rotation encoding scheme, provides a versatile
approach that can be used to retrieve different target images from the
encrypted record without changing the random phase mask, the
angle between write-in beams, any polarizer arrangements or the
wavelength.
In summary, we want to present an experimental optical
encrypting station based on a JTC architecture, implemented on a
Mach–Zehnder interferometer. We have the aim of multiplexing data
Optics Communications 284 (2011) 2500–2504
⁎ Corresponding author. Tel.: +57 4 2196556.
E-mail address: erueda@fisica.udea.edu.co (E. Rueda).
0030-4018/$ – see front matter © 2011 Elsevier B.V. All rights reserved.
doi:10.1016/j.optcom.2011.01.052
Contents lists available at ScienceDirect
Optics Communications
journal homepage: www.elsevier.com/locate/optcom