OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 7, Iss. 1 — Jan. 1, 1990
  • pp: 35–42

Model for optical bistability in GaAs/AlGaAs Fabry–Perot étalons including diffraction, carrier diffusion, and heat conduction

Ulf Olin  »View Author Affiliations

JOSA B, Vol. 7, Issue 1, pp. 35-42 (1990)

View Full Text Article

Enhanced HTML    Acrobat PDF (1024 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A new model for optical bistability in layered semiconductor Fabry–Perot étalons is presented. The model accounts for diffraction, carrier diffusion, and thermal conduction. Assuming that the spot size and the thickness of the nonlinear layer are smaller than the diffusion length of the carriers, a simplified model is derived that has been used to design bistable AlGaAs étalons with improved thermal properties.

© 1990 Optical Society of America

Original Manuscript: May 10, 1989
Manuscript Accepted: September 19, 1989
Published: January 1, 1990

Ulf Olin, "Model for optical bistability in GaAs/AlGaAs Fabry–Perot étalons including diffraction, carrier diffusion, and heat conduction," J. Opt. Soc. Am. B 7, 35-42 (1990)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. H. M. Gibbs, S. L. McCall, T. N. C. Venkatesan, A. C. Gossard, A. Passner, W. Wiegmann, “Optical bistability in semiconductors,” Appl. Phys. Lett. 35, 451–453 (1979). [CrossRef]
  2. D. A. B. Miller, S. D. Smith, A. Johnston, “Optical bistability and signal amplification in a semiconductor crystal: applications of new low-power nonlinear effects in InSb,” Appl. Phys. Lett. 35, 658–660 (1979). [CrossRef]
  3. J. L. Jewell, H. M. Gibbs, S. S. Tarng, A. C. Gossard, W. Wiegmann, “Regenerative pulsations from an intrinsic bistable optical device,” Appl. Phys. Lett. 40, 291–293 (1982). [CrossRef]
  4. O. Sahlén, E. Masseboeuf, M. Rask, N. Nordell, G. Landgren, “Bistable switching in nonlinear Al0.06Ga0.94As étalons,” Appl. Phys. Lett. 53, 1785–1787 (1988). [CrossRef]
  5. R. Kuszelewicz, J. L. Oudar, J. C. Michel, R. Azoulay, “Monolithic GaAs/AlAs optical bistable étalons with improved switching characteristics,” Appl. Phys. Lett. 53, 2138–2140 (1988). [CrossRef]
  6. S. D. Smith, J. G. H. Mathew, M. R. Taghizadeh, A. C. Walker, B. S. Wherrett, A. Hendry, “Room temperature, visible wavelength optical bistability in ZnSe interference filters,” Opt. Commun. 51, 357–362 (1984). [CrossRef]
  7. G. R. Olbright, N. Peyghambarian, H. M. Gibbs, H. A. Macleod, F. Van Milligen, “Microsecond room-temperature optical bistability and crosstalk studies in ZnS and ZnSe interference filters with visible light and milliwatt powers,” Appl. Phys. Lett. 45, 1031–1033 (1984). [CrossRef]
  8. P. L. Gourley, T. J. Drummond, “Single crystal, epitaxial multilayers of AlAs, GaAs, and Alx Ga1−x As for use as optical interferometric elements,” Appl. Phys. Lett. 49, 489–491 (1986). [CrossRef]
  9. J. L. Jewell, A. Scherer, S. L. McCall, A. C. Gossard, J. H. English, “GaAs-AlAs monolithic microresonator array,” Appl. Phys. Lett. 51, 94–96 (1987). [CrossRef]
  10. O. Sahlén, U. Olin, E. Masseboeuf, G. Landgren, M. Rask, “Optical bistability and gating in metalorganic vapour phase epitaxy grown GaAs étalons operating in reflection,” Appl. Phys. Lett. 50, 1559–1561 (1987). [CrossRef]
  11. B. G. Bovard, H. A. Macleod, “Nonlinear behaviour of optical coatings subjected to intense laser irradiation,” J. Modern Opt. 35, 1151–1168 (1988). [CrossRef]
  12. E. Abraham, I. J. Ogilvy, “Heat flow in interference filters,” Appl. Phys. B 42, 31–34 (1987). [CrossRef]
  13. J. M. Halley, J. E. Midwinter, “Thermal analysis of optical elements and arrays on thick substrates with convection cooling,” J. Appl. Phys. 62, 4055–4064 (1987). [CrossRef]
  14. L. Bányai, S. W. Koch, “A simple theory for the effects of plasma screening on the optical spectra of highly excited semiconductors,” Z. Phys. B 63, 283–291 (1986). [CrossRef]
  15. E. Masseboeuf, O. Sahlén, U. Olin, N. Nordell, M. Rask, G. Landgren, “Low-power optical bistability in a thermally stable AlGaAs etalon,” Appl. Phys. Lett. 54, 2290–2292 (1989). [CrossRef]
  16. J. V. Moloney, “Bistable behavior of a detuned Fabry–Perot étalon with a gaussian input spatial profile under self-focusing and defocusing conditions,” Opt. Acta 29, 1503–1508 (1982). [CrossRef]
  17. D. Weaire, J. P. Kermode, V. M. Dwyer, “The role of diffraction in dispersive optical bistability,” Opt. Commun. 55, 223–228 (1985). [CrossRef]
  18. U. Olin, O. Sahlén, “Transverse effects in switching of bistable Fabry–Perot étalons filled with a saturable medium,” J. Opt. Soc. Am. B 4, 319–323 (1987). [CrossRef]
  19. W. J. Firth, I. Galbraith, E. M. Wright, “Diffusion effects in bistable optical arrays,” in Optical Bistability III, H. M. Gibbs, P. Mandel, N. Peyghambarian, S. D. Smith, eds. (Springer-Verlag, Berlin, 1986), p. 193. [CrossRef]
  20. U. Olin, “Effects of diffraction and diffusion in dispersive optical bistability in Fabry–Perot étalons,” J. Opt. Soc. B 5, 20–23 (1988). [CrossRef]
  21. D. Weaire, C. O’Carroll, C. Wickham, “Dispersive optical bistability with diffusion: a scaling law,” Europhys. Lett. 8, 25–28 (1989). [CrossRef]
  22. A. Miller, G. Parry, “Optical bistability in semiconductors with density-dependent carrier lifetimes,” Opt. Quantum Electron. 16, 339–348 (1984). [CrossRef]
  23. F. Bloisi, L. Vicari, P. Cavaliere, S. Martellucci, J. Quartieri, P. Mormile, G. Pierattini, “Laser induced thermal profiles in thermally and optically thin films,” Appl. Phys. B 47, 67–69 (1988). [CrossRef]
  24. W. J. Firth, I. Galbraith, E. M. Wright, “Diffusion and diffraction in dispersive optical bistability,” J. Opt. Soc. Am. B 2, 1005–1009 (1985). [CrossRef]
  25. M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, Oxford, 1975).
  26. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, San Francisco, Calif., 1968).
  27. M. Lax, W. H. Louisell, W. B. McKnight, “From Maxwell to paraxial wave optics,” Phys. Rev. A 11, 1365–1370 (1975). [CrossRef]
  28. U. Olin, “Calculation of resonant optical nonlinearities in semiconductors using the theory of Bányai and Koch,” Tech. Rep. 207 (Institute of Optical Research, Stockholm, 1989).
  29. C. D. Thurmond, “The standard thermodynamic functions for the formation of electrons and holes in Ge, Si, GaAs, and GaP,” J. Electrochem. Soc. 122, 1133–1141 (1975). [CrossRef]
  30. A. E. Siegman, “Quasi-fast Hankel transform,” Opt. Lett. 1, 13–15 (1977). [CrossRef]
  31. S. Penselin, A. Steudel, “Fabry–Perot Interferometerverspiegelungen aus dielektrischen Vielfachschichten,” Z. Phys. 142, 21–41 (1955). [CrossRef]
  32. O. Sahlén, “Switching power dependence on spot size in bistable ZnS etalons,” Opt. Commun. 59, 238–242 (1986). [CrossRef]
  33. M. A. Afromowitz, “Thermal conductivity of Ga1−x Alx As alloys,” J. Appl. Phys. 44, 1292–1294 (1973). [CrossRef]
  34. T. Yao, “Thermal properties of AlAs/GaAs superlattices,” Appl. Phys. Lett. 51, 1798–1800 (1987). [CrossRef]
  35. R. E. Fern, A. Onton, “Refractive index of AlAs,” J. Appl. Phys. 42, 3499–3500 (1971). [CrossRef]
  36. H. C. Casey, D. D. Sell, M. B. Panish, “Refractive index of Alx Ga1−x As between 1.2 and 1.8 eV,” Appl. Phys. Lett. 24, 63–65 (1974). [CrossRef]
  37. P. Asbeck, “Self-absorption effects on the radiative lifetime in GaAs–GaAlAs double heterostructures,” J. Appl. Phys. 48, 820–822 (1977). [CrossRef]
  38. For the thermal conductivity of the cement, 0.008 W/cmK was used. Generally, commercial cements have lower thermal conductivities;see for instance, Loctite Tech. Data Sheet, “UV Curing Products” (Loctite, Hertfordshire, UK, 1984).
  39. Thermal stability for more than 100 msec, with a dielectriccoated diamond as heat sink/mirror, has been reported in a reference in J. L. Jewell, Y. H. Lee, M. Warren, H. M. Gibbs, N. Peyghambarian, A. C. Gossard, W. Wiegmann, “3-pJ, 82-MHz optical logic gates in a room-temperature GaAs–AlGaAs multiple-quantum-well étalon,” Appl. Phys. Lett. 46, 918–920 (1985). [CrossRef]
  40. B. S. Wherrett, D. Hutchings, D. Russell, “Optically bistable interference filters: optimization considerations,” J. Opt. Soc. Am. B 3, 351–362 (1986);A. Redondo, J. G. Beery, “Thermal conductivity in optical coatings,” J. Appl. Phys. 60, 3882–3885 (1986). [CrossRef]
  41. E. Masseboeuf, “Fabrication of thermally stable optically bistable GaAs etalons,” Tech. Rep. 211 (Institute of Optical Research, Stockholm, 1989).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited