XOR Logic Gate by Carbon/Metal Nanoinks Based on a Double-Stage Optical Kerr Gate Configuration

1Sección de Estudios de Posgrado e Investigación, Escuela Superior de Ingenierı́a Mecánica y Eléctrica Unidad Zacatenco, Instituto Politécnico Nacional, 07738 Ciudad de México, Mexico 2Departamento Ing. Materiales, Tecnológico de Estudios Superiores de Coacalco, 55700 Coacalco de Berriozábal, MEX, Mexico 3Escuela Superior de Ingenieŕıa Quı́mica e Industrias Extractivas, Instituto Politécnico Nacional, 07738 Ciudad de México, Mexico 4Centro de Nanociencias y Micro y Nanotecnologı́as, Instituto Politécnico Nacional, 07738 Ciudad de México, Mexico


Introduction
Hybrid nanomaterials are at the forefront of technology because they promise unique conjugate physicochemical properties [1].The progress in the development of high precision instruments for many fields of science currently involves compound nanostructures [2].One of the most inquired nanosystems corresponds to the carbon-based nanostructures due to their adaptive properties [3].Particularly, carbon nanotubes (CNTs) have marked a technological impact regarding their superlative mechanical features [4].Specifically, the multiwall carbon nanotubes (MWCNTs) are attractive in nonlinear optics due to their exceptional absorption and refractive index characteristics [5,6].The cubic nonlinearities exhibited by carbon-based materials have been related to an ultrafast relaxation characterized by picosecond or subpicosecond effects [7].Furthermore, the electrical and optical behavior exhibited by MWCNTs can be enhanced by metallic nanoparticle decoration because they increase their low free electron density [8].In general, the development of nonlinear advanced materials is a crucial step towards the improvement of all-optical nanotechnology [9].An important and fundamental property of metallic nanoparticles (NPs) concerns their Surface Plasmon Resonance (SPR) [10].This property is due to a collective oscillation in the plasma of the electrons and transmitted light with a sharp selective wavelength depending on the material and the size of the NPs [11].Moreover, the use of MWCNTs to support metallic NPs seems to be a suitable alternative for tailoring numerous functions [12,13].Using electrochemical deposition methods, a good control on size and densities of decorating CNTs has been accomplished [14].Fuel cells, electronic signal modulation, photonic sensing, and nanomechanical actuators are some of the most attractive applications that can be designed by using CNT enhanced with metallic NPs [15].In this regard, platinum presents the advantage of a SPR located in the ultraviolet region of the electromagnetic spectrum, and then it can be considered for high energy single photon devices [16].Moreover, platinum decorated MWCNTs can be contemplated for developing low-dimensional platforms for photoconductive and optical circuits [17].
In order to overlap two similar materials with different effects, a double mechano-optical modulation setup based in optical Kerr gate was achieved.Functionalized thin films hybrid samples with MWCNTs decorated with different Pt concentration were placed in a cascade arrangement.In this experiment, multiphotonic phenomena have been contemplated for applications in exclusive-or logic gates to selected optical signals.With this motivation, the nonlinear optical response exhibited by randomly distributed MWC-NTs networks was tailored by Pt NPs decoration in this work.A double-stage optical Kerr gate system was employed to control the positive and negative optical phase modification related to nanosecond pulses.An XOR logic function was proposed and the possibility of encrypting information by rotating nanostructures was analyzed.

Materials and Methods
2.1.Samples Synthesis.Two kinds of MWCNTs samples were prepared by an effective method based on the catalytic decomposition of metalorganic precursors [18].The nanotubes were obtained by a spray pyrolysis technique and then they were decorated by Pt NPs in two different concentrations (5 and 30 wt.%).The final compounds, MWCNTs-Pt 5 and MWCNTs-Pt 30 , respectively, were suspended in ethanol which is an easy continuous phase of separation.The nanoinks were deposited on a SiO 2 matrix in order to maintain the propagation of an electromagnetic wave.The resulting samples presented an average thickness of 1 m.

Morphology Characterization.
In order to study the morphology of the metallically decorated nanotubes, two different microcopy techniques were undertaken.The dispersion of the Pt NPs was evaluated by Scanning Electron Microscopy (SEM) using a JEOL JSM-6701F equipment.The multiwall nature of the CNTs was analyzed by Transmission Electron Microscopy (TEM) at 200 kV with a JEOL JEM-2200FS system.To obtain TEM images, a drop of CNTs dispersed in isopropanol was deposited on a carbon coated grid and allowed to dry in air.On the other hand, a transmittance UVvis spectrum experiment was carried out to explore the nanostructures.

Double-Stage Optical Kerr Gate Experiments.
The proposed mechanism to encrypt an optical signal by the phase modification in the polarization was based in a double-stage optical Kerr gate (OKG) with a single source of high energy provided by the second harmonic of Nd:YAG at 532 nm wavelength.A TEM 00 Gaussian beam profile at the output of the laser system was employed.Since the observation of nanosecond third-order nonlinear optical effects is dependent on peak irradiances, the shape of the photoinduced laser beams is crucial in the experiments.We observed the complete inhibition of the Kerr gating by changing the transversal electromagnetic mode of the system in this OKG configuration.
A two-wave mixing (TWM) experiment was conducted to induce a change in the polarization of a probe beam.Probe and pump beams were obtained by splitting a single pulse of 4 ns duration with linear polarization and a correlation in the energy of 1 : 10.The pump beam, with 24 MW/cm 2 irradiance, was retarded in polarization with a half wave plate and oriented at 45 ∘ with respect to the probe, in order to control an OKG.Both beams impinged under the geometric center surface of the samples (MWCNTs-Pt 5 and MWCNTs-Pt 30 ) with a propagation angle of 35 ∘ .Opposite changes of optical phase in the samples were measured by rotating the samples from 0 ∘ to 180 ∘ .To induce a mechano-optic effect, the samples were placed in a cascade arrangement, the probe beam was propagated through both nanohybrid specimens, and the transmitted light was analyzed by a cross polarizer with respect to the initial polarization of the probe beam.The probe beam irradiance was measured by a high-speed PIN diode.Two modalities were exhibited: the first when the pump beam induced a Kerr effect in the MWCNTs-Pt 5 sample and the second when the pump beam excited the MWCNTs-Pt 30 film.This mode is obtained when a mirror was displaced linearly to scatter the pump beam into the second sample, as shown in Figure 1.

XOR Optical Logic Gate Function.
A multiphotonic alloptical logic gate based on carbon/metal nanohybrids was based on a double-stage OKG.The system allowed us to rotate the polarization of the transmitted probe beam in each sample as a function on the pump irradiance.The two irradiances  1 and  2 illustrated in Figure 1 provided the two inputs together to the probe beam as the output to perform a XOR optical logic gate (OLG) device.The separation between the layers of the graphene rolling sheets was around 0.36 nm.

Results and Discussions
In order to characterize the optical response of the samples as a function of the wavelength, their UV-vis spectra were analyzed.The typical linear optical transmittance measurements are plotted in Figure 3.A single curve is shown since no differences between the MWCNTs-Pt 5 and MWCNTs-Pt 30 samples were optically identified.The valley observed at 270 nm wavelength can be associated with the - resonance exhibited by the CNTs.Apparently, the contribution of Pt to the transmittance spectrum exhibited by the hybrid materials is weak taking into account the volume fraction employed to observe important changes in the nonlinear optical response exhibited by the samples.The transmittance magnitudes correspond to dark samples rather than only allow the propagation of about 13% of the irradiance at the output of the system for a 532 nm wavelength.Absorption is mainly responsible for the attenuation of electromagnetic waves close to the resonance valley at the ultraviolet wavelengths; however, the monotonic decrease in the optical transmittance from the optical region to the ultraviolet wavelengths can be considered to be related to scattering effects.
The nonlinear optical behavior in the interaction of the probe and pump beams in the TWM experiment can be explained by solving the wave equation [19].We used the finite-difference method to numerically approach it.
where the right ( + ) and left ( − ) circular components of the electric field can be described by using the Jones matrices.The optical frequency is denoted by  and the speed of light in vacuum by .The approximation we take account of for the refractive index was where  0 is the linear refractive index,  =  1122 (3) , and  =  1212 (3) which are elements of the third-order susceptibility tensor  (3) .The experimental data of the double-stage mechanooptical modulation is shown in Figure 4. Two sets of measurements are presented for each sample when they are rotating from 0 ∘ to 180 ∘ .Both results represented the transmitted irradiance of the probe beam when the OKG was switching.We considered the minimum Kerr transmittance in the MWCNTs-Pt 5 film as the initial point of the stage.In contrast, the maximum value from the complement sample was fixed at the origin.Following this methodology can be considered a binary system, with pump beams as input control signals that encrypt the probe signal.Thermo-optical properties in this set of studied nanostructures have been previously explored by using comparative samples [20].The contribution of photothermal actions can be controlled in the nonlinear optical signals according to thermal diffusivity, thermal conductivity, and specific heat of the nanostructures.These parameters are also related to the density and morphology of the films together to the energy transfer mechanisms of optical absorption that are also responsible for inducing phononic phenomena.Besides the fact that photothermal effects represent a prevailing influence for nonlinear optical absorption exhibited by carbon/metal samples irradiated by a high repetition rate of laser pulses, significant optical Kerr measurements can be obtained in an OKG configuration by photonic excitations in a single-shot mode.
In Figure 5(a) is shown the positive contribution to the nonlinear polarization of the MWCNTs-Pt 5 sample when the pump irradiance was rising.Additionally, the MWCNTs-Pt 30 sample presents a negative rotation in the polarization at the same conditions.Regarding this behavior, an exclusive XOR OLG is achieved by placing the two samples in tandem as illustrated in Figure 1.Additionally, Figure 5(b) describes the modification in the angle of polarization of the probe beam interacting with  1 and  2 and considering the rotation of the samples.The error bar for the optical phase changes that correspond to the switching of the photoinduced beams is approximately ±12% in the XOR system.Table 1 shows the experimental results related to the XOR system designed by double-stage OKG.
The opposite rotation in the polarization of the probe beam was calibrated by exploring the inhomogeneity of the samples in rotation.The experimental analysis of incident irradiance of the different pump beams ( 1 and  2 ) showed a way to build an OLG.Moreover, the MWCNTs samples are easy to fabricate due to the ink treatment of the nanocomposites.The cascade OKG system has the property to encrypt nonlinear information that can be associated with the polarization of the interacting waves [21].The remarkable third-order susceptibility exhibited by the CNT composites makes them good candidates for encrypting and decrypting photonic information in a tandem of two doublestage arrangements.The nonlinear optical effects exhibited by the nanostructures pointed out their potential to read high energy quantum data [22].Regarding the influence of hydrostatic pressure and temperature on absorptive optical nonlinearities, phonon anharmonicities could play a key role in the development of irradiance dependent switching carbon-based nanodevices [23].The third-order nonlinear phenomena exhibited by the samples open the possibility for developing multiphotonic devices and quantum computing [24].The two-stage scheme proposed in this work has remarkable characteristics to construct OLGs circuits based on mechano-optical modulation effects [25].

Conclusions
The anisotropic optical Kerr effect exhibited by MWCNTs decorated with Pt NPs was analyzed.The samples were initially prepared as nanoinks and then integrated in thin film form to be explored in a double-stage system by nanosecond OKG experiments at 532 nm.Separate excitation of the third-order nonlinear optical response exhibited by two different samples enables the possibility of delaying the different components of polarization of optical signals.The modulation of the polarization of the photoinduced beams in a TWM experiment was analyzed as a function of mechanooptical and gyroscopic conditions of the nanostructures in rotation.A strong dependence on polarization of the transmitted beams through the samples allowed us to systematically control nonlinear optical signals for photonic applications.Within this work was demonstrated the possibility of tailoring polarization-selectable effects in carbon-based nanostructures by Pt NPs decoration.The collective behavior of the studied nanosystems presents potential applications to perform all-optical encryption by ultrafast XOR logic functions.In regard to the remarkable nanoscale third-order nonlinear optical effects exhibited by carbon/metal nanoinkbased materials, the design of optical platforms fabricated by advanced nanoinkjet systems can be adequate.

Figure 1 :
Figure 1: Experimental scheme of the double-stage OKG.

Figures 2 (
Figures 2(a) and 2(b) depict the SEM images of the studied nanohybrid materials.Pt NPs are observed as white points

Figure 2 :Figure 3 :
Figure 2: SEM image of MWCNTs with (a) Pt at 5 wt% and (b) Pt at 30 wt%.TEM image of MWCNTs with (c) Pt at 5 wt% and (d) Pt at 30 wt%.(e) In HRTEM image of an isolated CNT, the inset shows its multiwall nature.

Figure 4 :
Figure 4: Transmitted probe irradiance in the double-stage OKG with rotating samples.

Figure 5 :
Figure 5: (a) Angle of polarization versus irradiance of the control beams.(b) Angle of polarization versus angle of rotation of the samples.