## Material figures of merit for spatial soliton interactions in the presence of absorption

JOSA B, Vol. 13, Issue 10, pp. 2141-2153 (1996)

http://dx.doi.org/10.1364/JOSAB.13.002141

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### Abstract

The effects of linear and two-photon absorption on bright spatial soliton propagation are studied. A spatial soliton switch that achieves gain through the novel mechanism of colliding, dragging, or trapping of two fundamental solitons of different widths is proposed. Figures of merit for use in evaluating the suitability of absorbing nonlinear media for soliton switching applications are presented. The main effect of linear absorption is to limit the propagation distance, which places an upper bound on the width of the soliton in order to fit sufficient characteristic soliton propagation lengths within the device. The optical limiting nature of two-photon absorption places an upper bound on the gain that an interaction can achieve. The combined effects of linear and two-photon absorption are to reduce the gain upper bound imposed by two-photon absorption alone with the addition of the soliton width constraint. A maximized gain upper bound is determined solely by material parameters and is compared among three promising nonlinear materials. It is shown numerically that the spatial soliton dragging interaction requires shorter propagation distances and achieves greater gain than the collision interaction and that both are tolerant to the presence of absorption and can provide, with high contrast, gains of three or greater using measured material parameters. These results warrant pursuing the implementation of spatial soliton-based logic gates.

© 1996 Optical Society of America

**Citation**

Steve Blair, Kelvin Wagner, and Robert McLeod, "Material figures of merit for spatial soliton interactions in the presence of absorption," J. Opt. Soc. Am. B **13**, 2141-2153 (1996)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-13-10-2141

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### References

- D. A. B. Miller, "Refractive Fabry-Perot bistability with linear absorption: theory of operation and cavity optimization," IEEE J. Quantum Electron. QE-17, 306–311 (1981).
- E. Caglioti, S. Trillo, S. Wabnitz, and G. I. Stegeman, "Limitations to all-optical switching using nonlinear couplers in the presence of linear and nonlinear absorption and saturation," J. Opt. Soc. Am. B 5, 472–482 (1988).
- G. I. Stegeman, E. M. Wright, N. Finlayson, R. Zanoni, and C. T. Seaton, "Third order nonlinear integrated optics," J. Lightwave Technol. 6, 953–970 (1988).
- S. T. Ho, C. E. Soccolich, M. N. Islam, W. S. Hobson, A. F. J. Levi, and R. E. Slusher, "Nonlinear spectroscopy near half-gap in bulk and quantum well GaAs/AlGaAs waveguides," Appl. Phys. Lett. 59, 2558–2560 (1991).
- K. W. DeLong, K. B. Rochford, and G. I. Stegeman, "Effect of two-photon absorption on all-optical guided-wave devices," Appl. Phys. Lett. 55, 1823–1825 (1989).
- V. Mizrahi, K. W. DeLong, G. I. Stegeman, M. A. Saifi, and M. J. Andrejco, "Two-photon absorption as a limitation to all-optical switching," Opt. Lett. 14, 1140–1142 (1989).
- K. W. DeLong and G. I. Stegeman, "Two-photon absorption as a limitation to all-optical waveguide switching in semiconductors," Appl. Phys. Lett. 57, 2063 (1990).
- A. Hasegawa and Y. Kodama, "Signal transmission by optical solitons in monomode fiber," Proc. IEEE 69, 1145–1150 (1981).
- J. S. Aitchison, A. M. Weiner, Y. Silberberg, M. K. Oliver, J. L. Jackel, D. E. Leaird, E. M. Vogel, and P. W. E. Smith, "Observation of spatial optical solitons in a nonlinear glass waveguide," Opt. Lett. 15, 471–473 (1990).
- Y. Silberberg, "Solitons and two-photon absorption," Opt. Lett. 15, 1005–1007 (1990).
- J. S. Aitchison, Y. Silberberg, A. M. Weiner, D. E. Leaird, M. K. Oliver, J. L. Jackel, E. M. Vogel, and P. W. E. Smith, "Spatial optical solitons in planar glass waveguides," J. Opt. Soc. Am. B 8, 1290–1297 (1991).
- V. V. Afanasjev, J. S. Aitchison, and Y. Kivshar, "Splitting of high-order spatial solitons under the action of two-photon absorption," Opt. Commun. 116, 331–338 (1995).
- Y. Chen and J. Atai, "Absorption and amplification of dark solitons," Opt. Lett. 16, 1933–1935 (1991).
- A. B. Aceves and J. V. Moloney, "Effect of two-photon absorption on bright spatial soliton switches," Opt. Lett. 17, 1488–1490 (1992).
- X. Yang, Y. S. Kivshar, and B. Luther-Davies, "Is two-photon absorption a limitation to dark soliton switching?" Opt. Lett. 19, 344–346 (1994).
- J. Bian and A. K. Chan, "The design of an all-optical spatial soliton switch in a lossy nonlinear medium," Microwave Opt. Technol. Lett. 5, 433–439 (1992).
- S. Blair, K. Wagner, and R. McLeod, "Asymmetric spatial soliton dragging," Opt. Lett. 19, 1943–1945 (1994).
- B. A. Malomed and S. Wabnitz, "Soliton annihilation and fusion from resonant inelastic collisions in birefringent optical fibers," Opt. Lett. 16, 1388–1390 (1991).
- M. N. Islam, "All-optical cascadable nor gate with gain," Opt. Lett. 15, 417–419 (1990).
- R. McLeod, K. Wagner, and S. Blair, "(3 + 1)-dimensional optical soliton dragging logic," Phys. Rev. A 52, 3254–3278 (1995).
- A. Barthelemy, C. Froehly, S. Maneuf, and F. Reynaud, "Experimental observation of beams’ self-deflection appearing with two-dimensional spatial soliton propagation in bulk Kerr material," Opt. Lett. 17, 844–846 (1992).
- J.-R. Bian and A. K. Chan, "A nonlinear all-optical switch using spatial soliton interactions," Microwave Opt. Technol. Lett. 4, 575–580 (1991).
- T.-T. Shi and S. Chi, "Nonlinear photonic switching by using the spatial soliton collision," Opt. Lett. 15, 1123–1125 (1990).
- J. P. Robinson and D. R. Anderson, "Soliton logic," Opt. Comput. Process. 2, 57–61 (1992).
- X. D. Cao and D. D. Meyerhofer, "All-optical switching by means of collisions of spatial vector solitons," Opt. Lett. 19, 1711–1713 (1994).
- M. A. Newhouse, D. L. Weidman, and D. W. Hall, "Enhanced-nonlinearity single-mode lead silicate optical fiber," Opt. Lett. 15, 1185–1187 (1990).
- D. L. Lee, Electromagnetic Principals of Integrated Optics (Wiley, New York, 1986), Chap. 7.
- B. L. Lawrence, M. Cha, J. U. Kang, W. Toruellas, G. Stegeman, G. Baker, J. Meth, and S. Etemad, "Large purely refractive nonlinear index of single crystal p-toluene sulfonate (PTS) at 1600 nm," Electron. Lett. 30, 447 (1994).
- A. Villeneuve, C. C. Yang, P. G. J. Wigley, G. I. Stegeman, J. S. Aitchison, and C. N. Ironside, "Ultrafast all-optical switching in semiconductor nonlinear directional couplers at half the band gap," Appl. Phys. Lett. 61, 147 (1992).
- K. Al-hemyari, A. Villeneuve, J. U. Kang, J. S. Aitchison, C. N. Ironside, and G. I. Stegeman, "Ultrafast all-optical switching in GaAlAs directional couplers at 1.55 µm without multiphoton absorption," Appl. Phys. Lett. 63, 3562–3564 (1993).
- C. C. Yang, A. Villeneuve, G. I. Stegeman, and J. S. Aitchison, "Effects of three-photon absorption on nonlinear directional coupling," Opt. Lett. 17, 710–712 (1992).
- M. Thakur, R. C. Frye, and B. I. Greene, "Nonresonant absorption of single-crystal films of polydiacetylene measured by photothermal deflection spectroscopy," Appl. Phys. Lett. 56, 1187–1188 (1990).
- M. D. Dvorak, W. A. Schroeder, D. R. Anderson, A. L. Smirl, and B. S. Wherrett, "Measurement of the anisotropy of two-photon absorption coefficients in zincblende semiconductors," IEEE J. Quantum Electron. 30, 256–268 (1994).

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