Cryptography scheme of an optical switching system using picofemto second soliton pulse

International Journal of Advances in Engineering & Technology, Nov. 2012.
©IJAET ISSN: 2231-1963

CRYPTOGRAPHY SCHEME OF AN OPTICAL SWITCHING
SYSTEM USING PICO/FEMTO SECOND SOLITON PULSE
I. S. Amiri1, M. Nikmaram2, A. Shahidinejad2, J. Ali1
1
Institute of Advanced Photonics Science, Nanotechnology Research Alliance,
Universiti Teknologi Malaysia (UTM), 81310 Johor Bahru, Malaysia
2
Faculty of Computer Science & Information Systems (FCSIS), Universiti Teknologi
Malaysia (UTM), 81300 Johor Bahru, Malaysia

ABSTRACT
We propose a system of microring resonators (MRRs) incorporating with an add/drop filter system. Optical
soliton can be simulated and used to generate entangled photon, applicable in single and multiple optical
switching. Chaotic signals can be generated via the MRRs system. Therefore continuous spatial and temporal
signals are generated spreading over the spectrum. Polarized photons are formed incorporating the
polarization control unit into the MRRs, which allows different time slot entangled photons to be randomly
formed. Results show the single soliton pulse of 0.7 ps where the multi soliton pulse with FSR and FWHM of 0.6
ns and 20 ps are generated using the add/drop filter system. Here Ultra-short single soliton pulse with
FWHM=42 fs can be simulated. These pulses are providing required communication signals to generate pair of
polarization entangled photons among different time frame where the polarization control unit and polarizer
beam splitter (PBS) are connected to the ring resonator system.

KEYWORDS: Microring Resonator, Photon, Spatial and Temporal Soliton.
I. INTRODUCTION
Photon switching is concerning field of optical communication [1], where it employs quantum
cryptography in a mobile telephone network, which is described by Yupapin [2]. Quantum key
distribution supplies the perfect communication security [3-4]. Hence quantum cryptography can be
performed through an optical-wireless link [5]. Research works have shown that techniques of
continuous variable quantum cryptography are aimed and applied on the micro ring resonators [6].
Entangled photon pairs are an important resource in quantum optics [7], and are essential for quantum
information [8] applications such as quantum key distribution [9-10] and controlled quantum logic
operations [11]. Furthermore, control over the pair generation time is essential for scaling many
quantum information schemes beyond a few gates. New quantum key distribution protocol points that
data can be encoded on continuous variables of a single photon [12]. In order to give rise a range of
light throughout a wide range, an optical soliton signal is suggested as an improved laser pulse used to
make chaotic filter characteristics when propagate inside MRRs [13-16]. The capacity of the system
can be increased when the chaotic packet switching is employed [17-20]. We propose a system that
purposes localized soliton pulses [21] to figure the high capacity and security communication [22-25].
It is used to trap optical solitons to generate entangled photon pair [26-27]. Furthermore, the
continuous variable quantum codes can be generated using the polarizer and beam splitter systems

176 Vol. 5, Issue 1, pp. 176-184

[28]. This research is supported by the Institute of Advanced Photonics Science, Nanotechnology
Research Alliance, Universiti Teknologi Malaysia (UTM) and UTM IDF financial.

II. THEORY AND SYSTEM
Schematic diagram of the proposed system is as shown in figure 1. A soliton pulse with 20 ns pulse
width, peak power at 500 mW is inserted into the system. The parameters of the system are fixed to
0=1.55m [29], n0=3.34 (InGaAsP/InP) [30-32], Aeff=0.50, 0.25m2 and 0.12m2 for the different
radii of microring resonators respectively, =0.5dBmm-1, =0.1 [33-36]. The coupling coefficient
(kappa, κ) [37] of the micro ring resonator ranged from 0.50 to 0.975 [38-39].

Fig.1: Schematic diagram of a single and multiple narrow pulse switching generation for continuous variable
quantum key distribution with the different time slot, where PBS, polarizing beam splitter, Ds, detectors, Rs, ring
radii and κs, coupling coefficients
Input optical field (Ein) of the bright soliton pulse can be expressed as [40-41],

T   z  
Ein  A sec h   exp 
   i0t 
 (1)
 T0   2 LD  

A and z are the optical field amplitude and propagation length, respectively [42-43]. T is a soliton
pulse propagation time in a form proceeding at the group speed [44-45], T = t-β1×z, where β1 and β2
[46] are the coefficients of the linear and second order terms of Taylor expansion of the propagation
constant [13]. LD  T0  2 is the dispersion length of the soliton pulse [47]. The frequency carrier
2

 
of the soliton is w0 [48-50]. When soliton peak intensity  2 / T0 is given, and then To is known
2

[51-52]. The nonlinear length is given by LNL  1/  NL where  = n2×k0 is the length scale, thus
LNL  LD should be satisfied [53]. The refractive index (n) of light within the medium is given by
[54]
n2
n  n0  n2 I  n0  ( ) P, (2)
Aeff
where n0 and n2 are the linear and nonlinear refractive indexes, respectively. I and P are the optical
intensity and optical power, respectively. The effective mode core area of the device is shown by Aeff.
The effective mode core areas range from 0.50 to 0.10 m2 [54]. The resonant output is formed, thus,

177 Vol. 5, Issue 1, pp. 176-184

the normalized output [55] of the light field is the ratio between the output and input fields Eout (t) and
Ein (t) in each roundtrip, which can be expressed as [56]
(1  x 2  2x 2     2 x 2 )
E out (t )  Ein (t )  (1   ) 
2 2
(3)

(1  x 1   1   )  4 x 1   1   sin ( )
2 2

2
Here the particular case of a Fabry-Perot cavity, which has an input and output mirror with a field
reflectivity, (1-  ), and a fully reflecting mirror is presented [57-58]. κ is the coupling coefficient, and
x=exp(-αL/2) represents a roundtrip loss coefficient, Φ0=kLn0 and ΦNL=kLn2|Ein|2 are the linear and
nonlinear phase shifts, k=2/ is the wave propagation. L and α are a waveguide length and linear
absorption coefficient, respectively [59]. The simulated results are based on the solution of the
nonlinear Schrödinger Equation (NLSE) for the case of ring resonators using MATLAB programming.

III. SIMULATION OF RESULT AND DISCUSSION
The large bandwidth within the micro ring device can be generated where required signals can
perform the fix communication network. The nonlinear refractive index is n2=1.5 × 10-20 m2/W. In this
case, the wave guide loss used is 0.5dBmm-1. As shown in figure 2, large bandwidth is formed within
the first and second rings device. The compress bandwidth is obtained within the ring R3 and R4. The
attenuation of the optical power within a microring device is required in order to keep the constant
output gain. The ring radii R1=10 µm, R2=7µm, and R3=5µm and R4=2µm.

Fig. 2: Results obtained when temporal soliton is localized within a microring device with 20,000 roundtrips,
where (a): Chaotic signals from R1, (b): Chaotic signals from R2, (c): Trapping of temporal soliton, (d): Localized
temporal soliton with FWHM of 0.7 ps

Figure 3 shows the results when temporal and spatial optical soliton pulses are localized within a
microring device and add/drop filter system with 20,000 roundtrips, where the single soliton with
FWHM=42fs is generated. The multi soliton can be generated with FWHM and FSR of 20 Ps and 0.6
ns respectively. Here, the ring radii and their coupling coefficients are the same and Rad= 200 µm with
coupling coefficient of 1   2  0.1 .

178 Vol. 5, Issue 1, pp. 176-184


Fig. 3: Results of temporal and spatial soliton generation, where (a): Chaotic signals from R1, (b): Chaotic signals
from R2, (c): filtering signals, (d): Localized temporal soliton with FWHM of 42 fs, (e): Spatial soliton pulses, (f):
Temporal soliton with FSR=0.6 ns and FWHM=20 ps

Thus each pair of polarization entangled photons can be made among different time frame by applying
the polarization control unit and polarizer beam splitter (PBS) demonstrated in figure1. They can be
constituted by the two polarization orientation angles as [0°, 90°] [60]. Here we bring in the technique
that is used to generate the photon. A polarization device distinguishes the basic vertical and horizontal
polarization states represent to an optical switch between the short and the long pulses. We presume
those horizontally polarized pulses with a temporal separation of ∆t. The coherence time of the
consecutive pulses is larger than ∆t. Then the pursuing state at time t1 is produced by equation (4).

|Φ>p=|1, H>s |1, H>i +|2, H>s |2, H>i (4)

In the formula |k, H>, k is determined as the number of time slots (1 or 2), where it announces the
state of polarization [horizontal |H> or vertical |V>] [61]. The subscript identifies the signal (s) or the
idler (i) state. The delay circuit comprises of a coupler and the difference between the round-trip times
of the micro-ring resonator, which is equal to ∆t [62]. The |H> can be converted into |V> at the delay
circuit output that is the delay circuits convert

r|k, H> + t2 exp(iΦ) |k+1, V> + rt2 exp(i2Φ) |k+2, H> + r2t2 exp(i3Φ) |k+3, V> (5)

Where t and r is the amplitude transmittances to cross and bar ports in a coupler. Then equation (4) is
convinced into the polarized state by the delay circuit as

|Φ>=[|1, H>s + exp(iΦs) |2, V>s] × [|1, H>i + exp(iΦi) |2, V>i]
+ [|2, H>s + exp(iΦs) |3, V>s × [|2, H>i + exp(iΦi) |2, V>i] =
[|1, H>s |1, H>i + exp(iΦi) |1, H>s |2, V>i] + exp(iΦs) |2, V>s |1, H>i +
exp[i(Φs+Φi)] |2, V>s |2, V>i + |2, H>s |2, H>i + exp(iΦi) |2, H>s |3, V>i +
exp(iΦs) |3, V>s |2, H>i + exp[i(Φs+Φi)] |3, V>s |3, V>i (6)

As an outcome, we can get the following polarization entangled state as

|Φ>=|2, H>s |2, H>i + exp[i(Φs+Φi)] |2, V>s |2, V>i (7)

Because of the Kerr nonlinearity of the optical device, the strong pulses acquire an intensity
dependent phase shift throughout propagation [63]. The polarization angle adjustment device is
utilized to investigate the orientation and optical output intensity depicted [64]. Therefore, signal of
solitons can be used to generate photon which is secured and unknown during propagation within

179 Vol. 5, Issue 1, pp. 176-184

communication systems [65]. Generated secured photons can be transferred via a wireless access
point, and network communication system shown in figure 4.

Fig.4: System of optical photon transmission using a router and wireless access point

A wireless access system transmits data to different users via wireless connection [66-67]. The
transmission of information can be sent to the Internet using a physical, wired Ethernet connection
[68]. This method also works in reverse, when the router system used to receive information from the
Internet, translating it into an analog signal and sending it to the computer’s wireless adapter.

IV. FUTURE WORK
It is very difficult to construct a useful quantum key distribution system based on the entanglement
photon generation and switching. To overcome this problem, a quantum memory can be used to store
the quantum state of light. A ring resonator system can act as a quantum memory in which a quantum
state of a photon will transfer to another quantum system. So, after the storage has been done for a
very short time of nano or picosecond, the quantum state can be converted back to a photon state at an
arbitrary time. Therefore, the probability of entanglement switching can be improved and the decay of
the entanglement photon generation rate is avoided. The technique of quantum entanglement photon
switching is called a quantum repeater which uses entangled states stored in quantum memories.

V. CONCLUSION
Photon can be performed using single and multiple temporal and spatial soliton pulses generated by
MRR system. We have shown that a large bandwidth of the arbitrary soliton pulses can be generated
and compressed within a micro waveguide. The chaotic signal generation using a soliton pulse in the
nonlinear micro ring resonators has been presented. Localized light of soliton perform secure and high
capacity of optical communication. Localized spatial and temporal soliton pulse is useful to generate
entangled photon pair providing quantum key applicable for communication wireless networks. In this
study ultrashort of single optical soliton with FWHM=0.7 ps and 42 fs and multi optical soliton which
FWHM and FSR of 20 ps and 0.6 ns were generated propagating along the entangled photon
generation system which is connected to the drop port of the add/drop filter system connecting to
series of microring resonators. Thus we have analyzed the entangled photon generated by chaotic
signals in the series MRR devices applicable in optical wireless communication systems.

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183 Vol. 5, Issue 1, pp. 176-184


BIOGRAPHY OF AUTHORS
I. S. Amiri received his B. Sc (Hons, Applied Physics) from Public University of Oroumiyeh,
Iran in 2001 and a gold medalist M. Sc. in Applied Physics from Universiti Teknologi
Malaysia, in 2009. He is currently pursuing his Ph.D. in Nano Photonics at the Faculty of
Science, Institute of Advanced Photonics Science, Nanotechnology Research Alliance,
(UTM), Malaysia. He has authored/co-authored more than 65 technical papers published in
journals/conferences and a book chapter. His research interests are in the field of optical
soliton communication, signal processing, communication security, quantum cryptography,
quantum chaos, optical tweezers and hybrid computing system.

M. Nikmaram received the B.S degree in computer software engineering from Jahad
Daneshgahi University of Yazd, Iran in 2010. She is working toward the M.S degree in
computer science (Information Security) at the university Technology Malaysia (UTM),
Malaysia. Her research interests include cryptography and network security.

A. Shahidinejad received the B.S. degree in computer hardware engineering from Islamic
Azad University of Kashan, Iran in 2008 and the M.S. degree in computer architecture from
Islamic Azad University of Arak, Iran, in 2010. He is currently working toward the Ph.D.
degree in Computer Science at the Universiti Teknologi Malaysia (UTM), Malaysia. His
research interests include optical wireless communications and micro ring resonators.

J. Ali received his Ph.D. in plasma physics from Universiti Teknologi Malaysia (UTM) in
1990. At present, he is a professor of photonics at the Institute of Advanced Photonics
Science, Nanotech Research Alliance and the Physics Department of UTM. He has
authored/co-authored more than 200 technical papers published in international journal, three
books and a number of book chapters. His areas of interests are in FBGs, optical solitons,
fiber couplers, and nanowaveguides. He is currently the Head of Nanophotonics research
group, Nanotech Research Alliance, UTM. Dr. Jalil Ali is a member of OSA, SPIE, and the
Malaysian Institute of Physics.

184 Vol. 5, Issue 1, pp. 176-184

Cryptography scheme of an optical switching system using picofemto second soliton pulse

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