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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 4 — Feb. 19, 2007
  • pp: 1690–1699
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Single-PPLN-based simultaneous half-adder, half-subtracter, and OR logic gate: proposal and simulation

Jian Wang, Junqiang Sun, and Qizhen Sun  »View Author Affiliations


Optics Express, Vol. 15, Issue 4, pp. 1690-1699 (2007)
http://dx.doi.org/10.1364/OE.15.001690


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Abstract

We propose and simulate all-optical simultaneous half-adder, half-subtracter, and OR logic gate at 40 Gbit/s based on the cascaded sum-and difference-frequency generation (SFG+DFG) using only one periodically poled lithium niobate (PPLN) waveguide. The SFG and DFG processes generate the Borrow and Carry outputs, respectively. The Sum/Difference and OR are obtained by properly combining the outputs from PPLN after SFG+DFG. The eye diagrams, pulse width, quality-factor (Q-factor), extinction ratio (ER), and tunability are calculated and discussed,showing impressive operation performance.

© 2007 Optical Society of America

1. Introduction

Future high-performance and ultrahigh-speed optical networks may require all-optical signal processing techniques to overcome the speed limitation of electronics and support necessary networking functions. Previously, many schemes have been demonstrated to realize various digital signal processing (AND, NAND, OR, XOR, NXOR, NOR) in the optical domain [1

1. K. E. Stubkjaer, ‘Semiconductor optical amplifier-based all-optical gates for high-speed optical processing,’ IEEE J. Sel. Top. Quantum Electron. 6,1428–1435 (2000). [CrossRef]

, 2

2. J. Y. Kim, J. M. Kang, T. Y. Kim, and S. K. Han, ‘All-optical multiple logic gates with XOR, NOR, OR, and NAND functions using parallel SOA-MZI structures: theory and experiment,’ J. Lightwave Technol. 24,3392–3399 (2006). [CrossRef]

].In particular, all-optical half-adder [3–7

3. S. Kim, S. Lee, B. Kang, S. Lee, and J. Park, ‘All-optical binary half adder using SLALOMs,’ CLEO/Pacific Rim 2001,2, II-254-II-255 (2001).

] and half-subtracter [7

7. J. E. McGeehan, S. Kumar, and A. E. Willner, ‘All-optical digital half-subtracter/adder using semiconductor optical amplifiers and a PPLN waveguide,’ CLEO 2005, May,2,1061–1063 (2005).

] have been proposed and verified. The former can be applied to optical packet checksum calculation and binary counters, and the later may see its applications in encryption and decryption of secure network data and dual-direction binary counters. Based on earlier proposals, using two semiconductor laser amplifiers in a loop mirror (SLALOMs) [3

3. S. Kim, S. Lee, B. Kang, S. Lee, and J. Park, ‘All-optical binary half adder using SLALOMs,’ CLEO/Pacific Rim 2001,2, II-254-II-255 (2001).

], employing three terahertz optical asymmetric demultiplexers (TOADs) [4

4. A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, ‘All-optical binary half-adder,’ Opt. Commun. 156,22–26 (1998). [CrossRef]

], or utilizing four semiconductor optical amplifiers (SOAs) [5

5. J. H. Kim, Y. T. Byun, Y. M. Jhon, S. Lee, D. H. Woo, and S. H. Kim, ‘All-optical half adder using semiconductor optical amplifier based devices,’ Opt. Commun. 218,345–349 (2003). [CrossRef]

] can implement the half-adder. These schemes have shown some advantages, however, they suffer from using several components, which greatly increases the system complexity. Recently, periodically poled lithium niobate (PPLN) waveguide is used to perform the AND operation, which corresponds to the Carry of the half-adder [6

6. S. Kumar, D. Gurkan, A. E. Willner, K. Parameswaran, and M. Fejer, ‘All-optical half adder using a PPLN waveguide and an SOA,’ OFC 2004, February,1,23–27 (2004).

, 7

7. J. E. McGeehan, S. Kumar, and A. E. Willner, ‘All-optical digital half-subtracter/adder using semiconductor optical amplifiers and a PPLN waveguide,’ CLEO 2005, May,2,1061–1063 (2005).

]. By use of one PPLN and one SOA, the half-adder is successfully realized [6

6. S. Kumar, D. Gurkan, A. E. Willner, K. Parameswaran, and M. Fejer, ‘All-optical half adder using a PPLN waveguide and an SOA,’ OFC 2004, February,1,23–27 (2004).

]. Furthermore, simultaneous half-subtracter and half-adder are also implemented with one PPLN and two SOAs [7

7. J. E. McGeehan, S. Kumar, and A. E. Willner, ‘All-optical digital half-subtracter/adder using semiconductor optical amplifiers and a PPLN waveguide,’ CLEO 2005, May,2,1061–1063 (2005).

]. Nevertheless, two or three elements are still needed and the operation speed is limited by the carrier’s recovery time of SOA.

PPLN waveguide has attractive characteristics of ultra-fast response, complete transparency and independence of bit rate and data format, no spontaneous emission noise and no intrinsic frequency chirp. Moreover, various second-order nonlinearities and their cascading can be potentially applied to high speed all-optical signal processing such as wavelength conversions [8–14

8. J. Sun, W. Liu, J. Tian, J. R. Kurz, and M. M. Fejer, ‘Multichannel wavelength conversion exploiting cascaded second-order nonlinearity in LiNbO3 waveguides,’ IEEE Photonics Technol. Lett. 15,1743–1745 (2003). [CrossRef]

], AND [6

6. S. Kumar, D. Gurkan, A. E. Willner, K. Parameswaran, and M. Fejer, ‘All-optical half adder using a PPLN waveguide and an SOA,’ OFC 2004, February,1,23–27 (2004).

, 7

7. J. E. McGeehan, S. Kumar, and A. E. Willner, ‘All-optical digital half-subtracter/adder using semiconductor optical amplifiers and a PPLN waveguide,’ CLEO 2005, May,2,1061–1063 (2005).

, 15

15. J. E. McGeehan, M. Giltrelli, and A. E. Willner, ‘All-optical digital 3-input AND gate using sum-and difference-frequency generation in a PPLN waveguide,’ LEOS 2005, July,179–180 (2005).

], NOT [16

16. J. Wang, J. Sun, and Q. Sun, ‘Experimental observation of a 1.5 μm band wavelength conversion and logic NOT gate at 40 Gbit/s based on sum-frequency generation,’ Opt. Lett. 31,1711–1713 (2006). [CrossRef] [PubMed]

, 17

17. J. Sun and J. Wang, ‘Simulation of optical NOT gate switching by sum-frequency generation in LiNbO3 waveguides,’ Opt. Commun. 267,187–192 (2006). [CrossRef]

], etc. In this paper, by employing only one PPLN waveguide and exploiting cascaded sum-and difference-frequency generation (SFG+DFG), we propose and simulate, for the first time to our knowledge, simultaneous half-adder, half-subtracter, and OR logic gate at 40 Gbit/s. The operation performance is analyzed, including pulse width, quality-factor (Q-factor), extinction ratio (ER), and tunability.

2. Concept of half-adder, half-subtracter, and OR logic gate

Fig. 1. Digital gate-level diagram and logical truth table for the half-adder, half-subtracter, and OR logic gate. The Sum and Difference outputs are identical.

Figure 1 shows a simple digital gate-level conceptual diagram and logical truth table for the half-adder, half-subtracter, and OR logic gate of two independent data streams (A, B). Half-adder contains Sum and Carry, and half-subtracter includes Difference and Borrow. From the truth table, it is noted that the Sum and Difference outputs of half-adder and half-subtracter are identical, corresponding to the XOR between A and B (AB). As the XOR function can be also represented by Ā ∙ B+AB̄, it may be implemented by using two AND gates with inverters (‘bubbles’) at the input, and an OR gate to combine the outputs Ā∙B and AB̄ from AND gates. The Carry output for half-adder is the AND operation (AB) which can be simply obtained with a single AND gate. The Borrow output for half-subtracter takes the logical operation in terms of Ā∙B for A-B and AB̄ for B-A. Note that Ā∙B and AB̄ are realized during the generation of XOR. Additionally, the logical OR of A and B can be expressed as A+Ā∙B or B + AB̄, thus it may be achieved by use of an OR gate to combine A and Ā∙ B or B and AB̄. As a result, the entire implementation of simultaneous halfadder, half-subtracter, and OR logic gate requires three AND gates, two inverters, and two OR gates.

3. Operation principle

Fig. 2. Schematic diagram of single-PPLN-based all-optical half-adder, half-subtracter, and OR logic gate. TF: tunable filter, VOA: variable optical attenuator, TDL: tunable delay line.

The schematic diagram of the proposed single-PPLN-based simultaneous all-optical halfadder, half-subtracter, and OR logic gate is shown in Fig. 2. In Ref. [7

7. J. E. McGeehan, S. Kumar, and A. E. Willner, ‘All-optical digital half-subtracter/adder using semiconductor optical amplifiers and a PPLN waveguide,’ CLEO 2005, May,2,1061–1063 (2005).

], the Borrow and Sum/Difference are generated using cross-gain modulation (XGM) in SOAs, and only Carry is carried out by the cascaded second-harmonic generation and difference-frequency generation (SHG+DFG) in the PPLN waveguide. In fact, by exploiting SFG+DFG, it is possible to achieve all above functions with only one PPLN waveguide, which can be briefly explained as follows. Two independent data streams A and B (λSA, λSB), together with the continuous-wave (CW) pump(λP) are launched into the PPLN waveguide, in which the SFG+DFG nonlinear interactions take place under the quasi-phase matching (QPM) condition. In the SFG+DFG processes, the SFG interaction converts one photon from signal A(λSA) and another photon from signal B(λSB) into one sum-frequency photon(λSF), which is simultaneously transformed into one photon of the pump (λP) and the other photon of the new generated idler wave (λi) through the subsequent DFG process. Thus, both signals A and B are depleted during the generation of the sum-frequency and idler waves. Such phenomenon has been successfully observed in our preliminary experimental work [13

13. J. Wang, J. Sun, X. Zhang, X. Yuan, and D. Huang, ‘Experimental observation of tunable wavelength downand up-conversions of ultra-short pulses in a periodically poled LiNbO3 waveguide,’ Opt. Commun. 269,179–187 (2006). [CrossRef]

, 16

16. J. Wang, J. Sun, and Q. Sun, ‘Experimental observation of a 1.5 μm band wavelength conversion and logic NOT gate at 40 Gbit/s based on sum-frequency generation,’ Opt. Lett. 31,1711–1713 (2006). [CrossRef] [PubMed]

].For data streams A and B, if the input A data bit is equal to ‘1’, the output B data bit is ‘0’ in spite of input B data bit with any value (‘1’ or ‘0’). The output B data bit is equal to ‘1’ only when input A and B data bits are ‘0’ and ‘1’, respectively. Therefore, the output data stream B takes the logical function of A∙ B (λSB). Similarly, the output data stream A carries the logical result of A ∙ B (λSA). On the other hand, only when both input A and B data bits are ‘1’, the output sum-frequency and idler waves carry the data bit of ‘1’, corresponding to the logical AND of A and B (A∙B).

At the output of the PPLN waveguide, the output Ā∙B (λSB) is combined with input A(λSA) through a coupler acting as an OR gate, because of which A + Ā∙ B is achieved,representing the logical OR of A and B. Meanwhile, by combing AB̄(λSA) with input B (λSB), the logical OR can be also obtained as B + AB̄. Note that the combination of output Ā∙B (λSB) and AB̄ (λSA) results in Ā ∙ B + AB̄, i.e. logical XOR corresponding to the Sum/Difference of the half-adder and half-subtracter. The output Ā∙B(λSF or λi) is the Carry of the half-adder. The output Ā∙B(λSB) and AB (λSA) are the Borrows of the half-subtracter A-B and B-A, respectively. As shown in Fig. 2, we use tunable filters (TFs) to isolate the required signals, employ variable optical attenuators (VOAs) to equalize the power level of two data streams before entering into the coupler, and utilize tunable delay lines (TDLs) to align the data bits.

4. Results and discussions

The proposed simultaneous half-adder, half-subtracter, and OR logic gate based on SFG+DFG can be described by the following well-known coupled-mode equations under the slowly varying envelope approximation [13

13. J. Wang, J. Sun, X. Zhang, X. Yuan, and D. Huang, ‘Experimental observation of tunable wavelength downand up-conversions of ultra-short pulses in a periodically poled LiNbO3 waveguide,’ Opt. Commun. 269,179–187 (2006). [CrossRef]

].

ASAz+β1SAASAt+i2β2SA2ASAt2=SAκSFGASB*ASFexp(kSFGz)
(1)
ASBz+β1SBASBt+i2β2SB2ASBt2=SBκSFGASA*ASFexp(kSFGz)
(2)
ASFz+β1SFASFt+i2β2SF2ASFt2=SFκSFGASAASBexp(kSFGz)+SFκDFGAPAiexp(iΔkDFGz)
(3)
APz+β1PAPt+i2β2P2APt2=PκDFGAi*ASFexp(iΔkDFGz)
(4)
Aiz+β1iAit+i2β2i2Ait2=iκDFGAP*ASFexp(iΔkDFGz)
(5)
κSFG=deff2μ0cnSAnSBnSFAeff
(6)
κDFG=deff2μ0cnPninSFAeff
(7)
ΔkSFG=kSFkSAkSB2πΛ
(8)
ΔkDFG=kSFkPki2πΛ
(9)

where ASA, ASB, ASF, AP and Ai, as functions of the distance z and time t, represent the complex amplitudes of the signal A, signal B, sum-frequency, pump, and idler waves,respectively. β 1j and β 2j are the first and second derivatives of the propagation constant kj with respect to the angular frequency ω, evaluated at ωj (j=SA, SB, SF, P, i). κSFG and κDFG are coupling coefficients for the SFG and DFG processes. deff is the effective nonlinear coefficient. Aeff is the effective interaction area. nj(j = SA, SB, SF, P, i) are the refractive indexes for different optical waves. The parameter μ0 is the permeability and c is the light velocity in vacuum. Δk SFG and Δk DFG refer to the phase mismatching in the SFG and DFG processes, and Λ is the microdomain period of the periodically poled structure in the PPLN waveguide. The above coupled-mode Eqs. (1)-(5) can be numerically solved using the finite difference beam propagation method (FD-BPM) [9

9. J. Sun, Z. Ma, D. Liu, and D. Huang, ‘Wavelength conversion between picosecond pulses using cascaded second-order nonlinearity in LiNbO3 waveguides,’ Opt. Quantum Electron. 37443–456 (2005). [CrossRef]

, 10

10. J. Sun, D. Huang, and D. Liu, ‘Simultaneous wavelength conversion and pulse compression exploiting cascaded second-order nonlinear processes in LiNbO3 waveguides,’ Opt. Commun. 259,321–327 (2006). [CrossRef]

].

Figure 3(a) and Fig. 3(b) show sample 20-bit sequences of two independent input signals A and B, respectively. After SFG+DFG processes, it is found that the half-adder shown in Fig.3(c), Fig. 3(d), and Fig. 3(e), half-subtracter shown in Fig. 3(c), Fig. 3(f), and Fig. 3(g), and OR logic gate shown in Fig. 3(h) and Fig. 3(i) are simultaneously implemented.

Figure 4 plots the eye diagrams for the half-adder, half-subtracter, and OR logic gate. Q-factor and extinction ratio defined as Q=20log10 [(μ10)/(σ10)] and ER=10log10 10) are used to evaluate the operation performance, where μ1 and μ0 are the average power of logical ‘1’ and ‘0’ of the eye diagrams at the sampling time, while σ1 and σ0 are the corresponding standard deviations. Note that the performance degradation of Sum/Difference and Borrows shown in Fig. 4(c), Fig. 4(f), and Fig. 4(g) can be explained with the fact that signals A and B are not depleted completely when their data bits are both ‘1’. Such phenomenon can be also clearly seen from Fig. 3(c), Fig. 3(f), and Fig. 3(g). As shown in Fig. 4(d), the Carry of sum-frequency wave (3.1 ps) is compressed compared with the input signal (5 ps). However, due to walk-off effects [13

13. J. Wang, J. Sun, X. Zhang, X. Yuan, and D. Huang, ‘Experimental observation of tunable wavelength downand up-conversions of ultra-short pulses in a periodically poled LiNbO3 waveguide,’ Opt. Commun. 269,179–187 (2006). [CrossRef]

] caused by GVM between the sumfrequency wave in the 0.77-μm band and signal, pump, idler waves in the 1.55-μm band, the Carry of idler (6.4 ps) shown in Fig. 4(e) is broadened.

Fig. 3. Input and output waveforms for the half-adder, half-subtracter, and OR logic gate: (a) input signal A, (b) input signal B, (c) Sum/Difference output (XOR), (d) Carry output (AND) of sum-frequency wave, (e) Carry output (AND) of idler wave, (f) Borrow output of A-B, (g) Borrow output of B-A, (h) OR output (A+Ā∙B), (i) OR output (B+AB̄).

Figure 6 further illustrates the tunable performance. When the wavelengths of signals A and B are kept at 1550.0 and 1538.0 nm, respectively, both pump and idler wavelengths can be tuned in a wide wavelength range larger than 110 nm with 3-dB Q-factor penalty in Fig. 6(a) and 130 nm with 2.1-dB ER penalty in Fig. 6(b). Meanwhile, by setting the pump wavelength at 1555.0 nm and fixing the sum-frequency wavelength at 772.0 nm, generating the idler wavelength at about 1533.2 nm, the wavelengths of signals A and B can be also changed in a wide wavelength range larger than 43 nm with 3-dB Q-factor penalty in Fig. 6(c) and 56 nm with 3-dB ER penalty in Fig. 6(d). Therefore, Fig. 6 exhibits that flexible operation with great tunability can be conveniently achieved with the proposed scheme.

Fig. 4. Eye diagrams for the half-adder, half-subtracter, and OR logic gate: (a) input signal A,(b) input signal B, (c) Sum/Difference output (XOR), (d) Carry output (AND) of sum-frequency wave, (e) Carry output (AND) of idler wave, (f) Borrow output of A-B, (g) Borrow output of B-A, (h) OR output (A + Ā∙B), (i) OR output (B+AB̄).
Fig. 5. Dependence of (a) idler pulse width, (b) Q-factor, (c) extinction ratio on the length of the PPLN waveguide.
Fig. 6. Dependence of Q-factor (Sum/Difference, Borrows, OR) and extinction ratio (Sum/Difference, Borrows) on (a)(b) pump wavelength, idler wavelength and (c)(d) wavelengths of signals A, B.

Remarkably, in the above calculations, the step lengths for time (t) and distance (z) are taken as about 0.2 ps and 50 μm, respectively. In order to verify the calculation accuracy, the evolvement of the total energy of all interacting optical waves along the PPLN waveguide are compared with that of the input signals and pump wave. It is found that the difference of the total energy propagating along the PPLN waveguide is small, not exceeding 0.8%, which verifies that the law of the energy conservation is satisfied with the acceptable accuracy for the simulations. The calculation accuracy can be further improved by appropriately reducing the time and distance step lengths. Note that, the calculations can be also performed by using other methods such as split-step Fourier transform [17

17. J. Sun and J. Wang, ‘Simulation of optical NOT gate switching by sum-frequency generation in LiNbO3 waveguides,’ Opt. Commun. 267,187–192 (2006). [CrossRef]

]. For different simulation methods, by properly choosing the step lengths for the simulations, the same order of the accuracy of calculations can be obtained, achieving similar results of the parameters of eye diagrams, pulse width, Q-factor, ER, and tunability.

5. Conclusion

We have proposed and numerically demonstrated, for what we believe is the first time, all-optical simultaneous half-adder, half-subtracter, and OR logic gate at 40 Gbit/s on the basis of SFG+DFG using only one PPLN waveguide. The eye diagrams, pulse width, Q-factor, ER, and tunability are simulated, exhibiting attractive operation performance with great flexibility.

With further improvement, the performance is possible to be improved by optimizing optical powers. Additionally, various other all-optical logical gates such as NAND, XOR, NXOR,and NOR based on PPLN waveguide are under way to be investigated, which may become potential candidates for future high-speed all-optical signal processing applications.

Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant No. 60577006, and by the program for New Century Excellent Talents in University (NCET- 04-0694).

References and Links

1.

K. E. Stubkjaer, ‘Semiconductor optical amplifier-based all-optical gates for high-speed optical processing,’ IEEE J. Sel. Top. Quantum Electron. 6,1428–1435 (2000). [CrossRef]

2.

J. Y. Kim, J. M. Kang, T. Y. Kim, and S. K. Han, ‘All-optical multiple logic gates with XOR, NOR, OR, and NAND functions using parallel SOA-MZI structures: theory and experiment,’ J. Lightwave Technol. 24,3392–3399 (2006). [CrossRef]

3.

S. Kim, S. Lee, B. Kang, S. Lee, and J. Park, ‘All-optical binary half adder using SLALOMs,’ CLEO/Pacific Rim 2001,2, II-254-II-255 (2001).

4.

A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, ‘All-optical binary half-adder,’ Opt. Commun. 156,22–26 (1998). [CrossRef]

5.

J. H. Kim, Y. T. Byun, Y. M. Jhon, S. Lee, D. H. Woo, and S. H. Kim, ‘All-optical half adder using semiconductor optical amplifier based devices,’ Opt. Commun. 218,345–349 (2003). [CrossRef]

6.

S. Kumar, D. Gurkan, A. E. Willner, K. Parameswaran, and M. Fejer, ‘All-optical half adder using a PPLN waveguide and an SOA,’ OFC 2004, February,1,23–27 (2004).

7.

J. E. McGeehan, S. Kumar, and A. E. Willner, ‘All-optical digital half-subtracter/adder using semiconductor optical amplifiers and a PPLN waveguide,’ CLEO 2005, May,2,1061–1063 (2005).

8.

J. Sun, W. Liu, J. Tian, J. R. Kurz, and M. M. Fejer, ‘Multichannel wavelength conversion exploiting cascaded second-order nonlinearity in LiNbO3 waveguides,’ IEEE Photonics Technol. Lett. 15,1743–1745 (2003). [CrossRef]

9.

J. Sun, Z. Ma, D. Liu, and D. Huang, ‘Wavelength conversion between picosecond pulses using cascaded second-order nonlinearity in LiNbO3 waveguides,’ Opt. Quantum Electron. 37443–456 (2005). [CrossRef]

10.

J. Sun, D. Huang, and D. Liu, ‘Simultaneous wavelength conversion and pulse compression exploiting cascaded second-order nonlinear processes in LiNbO3 waveguides,’ Opt. Commun. 259,321–327 (2006). [CrossRef]

11.

J. Wang, J. Sun, C. Luo, and Q. Sun, ‘Flexible all-optical wavelength conversions of 1.57-ps pulses exploiting cascaded sum-and difference frequency generation (cSFG/DFG) in a PPLN waveguide,’ Appl. Phys. B 83,543–548 (2006). [CrossRef]

12.

J. Wang, J. Sun, C. Luo, and Q. Sun, ‘Experimental demonstration of wavelength conversion between pspulses based on cascaded sum-and difference frequency generation (SFG+DFG) in LiNbO31 waveguides,’ Opt. Express 13,7405–7414 (2005). http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-19-7405 [CrossRef] [PubMed]

13.

J. Wang, J. Sun, X. Zhang, X. Yuan, and D. Huang, ‘Experimental observation of tunable wavelength downand up-conversions of ultra-short pulses in a periodically poled LiNbO3 waveguide,’ Opt. Commun. 269,179–187 (2006). [CrossRef]

14.

J. Wang, J. Sun, J. R. Kurz, and M. M. Fejer, ‘Tunable wavelength conversion of ps-pulses exploiting cascaded sum-and difference frequency generation in a PPLN-fiber ring laser,’ IEEE Photonics Technol. Lett. 18,2093–2095 (2006). [CrossRef]

15.

J. E. McGeehan, M. Giltrelli, and A. E. Willner, ‘All-optical digital 3-input AND gate using sum-and difference-frequency generation in a PPLN waveguide,’ LEOS 2005, July,179–180 (2005).

16.

J. Wang, J. Sun, and Q. Sun, ‘Experimental observation of a 1.5 μm band wavelength conversion and logic NOT gate at 40 Gbit/s based on sum-frequency generation,’ Opt. Lett. 31,1711–1713 (2006). [CrossRef] [PubMed]

17.

J. Sun and J. Wang, ‘Simulation of optical NOT gate switching by sum-frequency generation in LiNbO3 waveguides,’ Opt. Commun. 267,187–192 (2006). [CrossRef]

OCIS Codes
(060.2330) Fiber optics and optical communications : Fiber optics communications
(070.4560) Fourier optics and signal processing : Data processing by optical means
(130.3730) Integrated optics : Lithium niobate
(190.0190) Nonlinear optics : Nonlinear optics
(200.3760) Optics in computing : Logic-based optical processing

ToC Category:
Nonlinear Optics

History
Original Manuscript: October 13, 2006
Revised Manuscript: December 17, 2006
Manuscript Accepted: January 7, 2007
Published: February 19, 2007

Citation
Jian Wang, Junqiang Sun, and Qizhen Sun, "Single-PPLN-based simultaneous half-adder, half-subtracter, and OR logic gate: proposal and simulation," Opt. Express 15, 1690-1699 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-4-1690


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References

  1. K. E. Stubkjaer, "Semiconductor optical amplifier-based all-optical gates for high-speed optical processing," IEEE J. Sel. Top. Quantum Electron. 6, 1428-1435 (2000). [CrossRef]
  2. J. Y. Kim, J. M. Kang, T. Y. Kim, and S. K. Han, "All-optical multiple logic gates with XOR, NOR, OR, and NAND functions using parallel SOA-MZI structures: theory and experiment," J. Lightwave Technol. 24, 3392-3399 (2006). [CrossRef]
  3. S. Kim, S. Lee, B. Kang, S. Lee, and J. Park, "All-optical binary half adder using SLALOMs," CLEO/Pacific Rim 2001, 2, II-254-II-255 (2001).
  4. A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, "All-optical binary half-adder," Opt. Commun. 156, 22-26 (1998). [CrossRef]
  5. J. H. Kim, Y. T. Byun, Y. M. Jhon, S. Lee, D. H. Woo, and S. H. Kim, "All-optical half adder using semiconductor optical amplifier based devices," Opt. Commun. 218, 345-349 (2003). [CrossRef]
  6. S. Kumar, D. Gurkan, A. E. Willner, K. Parameswaran, and M. Fejer, "All-optical half adder using a PPLN waveguide and an SOA," OFC 2004, February, 1, 23-27 (2004).
  7. J. E. McGeehan, S. Kumar, and A. E. Willner, "All-optical digital half-subtracter/adder using semiconductor optical amplifiers and a PPLN waveguide," CLEO 2005, May, 2, 1061-1063 (2005).
  8. J. Sun, W. Liu, J. Tian, J. R. Kurz, and M. M. Fejer, "Multichannel wavelength conversion exploiting cascaded second-order nonlinearity in LiNbO3 waveguides," IEEE Photonics Technol. Lett. 15, 1743-1745 (2003). [CrossRef]
  9. J. Sun, Z. Ma, D. Liu, and D. Huang, "Wavelength conversion between picosecond pulses using cascaded second-order nonlinearity in LiNbO3 waveguides," Opt. Quantum Electron. 37443-456 (2005). [CrossRef]
  10. J. Sun, D. Huang, and D. Liu, "Simultaneous wavelength conversion and pulse compression exploiting cascaded second-order nonlinear processes in LiNbO3 waveguides," Opt. Commun. 259, 321-327 (2006). [CrossRef]
  11. J. Wang, J. Sun, C. Luo, and Q. Sun, "Flexible all-optical wavelength conversions of 1.57-ps pulses exploiting cascaded sum- and difference frequency generation (cSFG/DFG) in a PPLN waveguide," Appl. Phys. B 83, 543-548 (2006). [CrossRef]
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