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Applied Optics

Applied Optics


  • Vol. 43, Iss. 11 — Apr. 10, 2004
  • pp: 2325–2331

Volume Relaxation in Polymers and Its Effect on Waveguide Applications

Zhiyi Zhang, Gaozhi Xiao, and Chander P. Grover  »View Author Affiliations

Applied Optics, Vol. 43, Issue 11, pp. 2325-2331 (2004)

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Volume relaxation in polymers and the effect intrinsic to glassy polymers can significantly affect their refractive index over time. Its β rate has been found to be related only to relaxation temperature T and the glass transition temperature of the polymer Tg and not to the polymeric chemical structure. Universal values of β have been obtained for polymers and were used to predict the minimum index change related to volume in polymers. The index change is in the range from 7.86 × 10−5 to 5.26 × 10−4 when the TgT value of polymers is between 90 and 350 °C. These volume-relaxation-induced changes can cause serious deterioration or even failure in corresponding polymer waveguide devices, such as arrayed waveguide gratings and variable optical attenuators, when the Tg of a polymer is not sufficiently high. A minimum requirement is therefore suggested for the Tg of polymers used to fabricate waveguide devices.

© 2004 Optical Society of America

OCIS Codes
(130.3120) Integrated optics : Integrated optics devices
(130.3130) Integrated optics : Integrated optics materials
(160.5470) Materials : Polymers
(230.7390) Optical devices : Waveguides, planar
(250.5300) Optoelectronics : Photonic integrated circuits

Zhiyi Zhang, Gaozhi Xiao, and Chander P. Grover, "Volume Relaxation in Polymers and Its Effect on Waveguide Applications," Appl. Opt. 43, 2325-2331 (2004)

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  1. T. Miya, “Silica-based planar lightwave circuits: passive and thermally active devices,” IEEE J. Sel. Top. Quantum Electron. 6, 38–45 (2000).
  2. M. Zhou, “Low-loss polymeric materials for passive waveguide components in fiber optical telecommunication,” Opt. Eng. 41, 1631–1643 (2002).
  3. T. Watanabe, Y. Inoue, A. Kaneko, N. Ooba, and T. Kurihara, “Polymeric arrayed-waveguide grating multiplexer with wide tuning range,” Electron. Lett. 33, 1547–1548 (1997).
  4. Y. O. Noh, M.-S. Yang, Y. H. Won, and W.-Y. Hwang, “PLC-type variable optical attenuator operated at low electrical power,” Electron. Lett. 36, 2032–2033 (2000).
  5. S. Toyoda, N. Ooba, Y. Katoh, T. Kurihara, and T. Maruno, “Low crosstalk and low loss 2 × 2 thermo-optic digital optical switch using silicone resin waveguides,” Electron. Lett. 36, 1803–1804 (2000).
  6. Z. Zhang, I. Liu, G. Xiao, and C. P. Grover, “Novel approach to reducing stress-caused birefringence in polymers,” J. Mater. Sci. 39, 1415–1417 (2004).
  7. R. Lytel, G. F. Lipscomb, J. T. Kenney, and E. S. Binkley, “Large-scale integration of electro-optic polymer waveguides,” in Polymers for Lightwave and Integrated Optics: Technology and Applications, L. A. Hornak, ed. (Marcel Dekker, New York, 1992).
  8. H. S. Lackritz, T. C. Kowalczyk, Y. C. Lee, and D. A. G. Deacon, “Optoelectronic and photonic devices formed of materials which inhibit degradation and failure,” U.S. Patent 6, 236, 774 (22 March 2001).
  9. J. M. Hutchinson, “Physical aging of polymers,” Prog. Polym. Sci. 20, 703–760 (1995).
  10. C. G. Robertson and G. L. Wilkes, “Refractive index: a probe for monitoring volume relaxation during physical aging of glassy polymers,” Polymer 39, 2129–2133 (1998).
  11. R. A. Orwell, “Densities, coefficients of thermal expansion, and compressibilities of amorphous polymers,” in Physical Properties of Polymers Handbook, J. E. Mark, ed. (American Institute of Physics, Woodbury, N.Y., 1996).
  12. G. T. Murray, ed., Handbook of Materials Selection for Engineering Applications, Vol. 113 of the Mechanical Engineering Series (Marcel Dekker, New York, 1997).
  13. R. S. Moshrefzadeh, M. D. Radcliffe, T. C. Lee, and S. K. Mohapatra, “Temperature dependence of index of refraction of polymer waveguides,” J. Lightwave Technol. 10, 420–425 (1992).
  14. V. N. Morozov, H. Fan, and L. Yang, “Variable optical attenuator with thermo-optic control,” U.S. Patent 6, 208, 798 (27 March 2001).
  15. S. Matsuoka, Relaxation Phenomena in Polymers (Hanser Gardner, New York, 1992).
  16. J. Bartos, J. Müller, and J. H. Wendorff, “Physical aging of isotropic and anisotropic polycarbonate,” Polymer 31, 1678–1684 (1990).
  17. R. Greiner and F. R. Schwarzl, “Thermal contraction and volume relaxation of amorphous polymers,” Rheol. Acta 23, 378–395 (1984).
  18. L. C. E. Struik, “Volume relaxation and secondary transitions in amorphous polymers,” Polymer 28, 1869–1875 (1987).
  19. M. K. Smit and C. Van Dam, “PHASAR-based WDM-devices: principles, design and applications,” IEEE J. Sel. Top. Quantum Electron. 22, 236–250 (1996).
  20. M. Lenzi, S. Tebaldini, D. di Mola, S. Brunazzi, and L. Cibinetto, “Power control in the photonic domain based on integrated arrays of optical variable attenuators in glass-on-silicon technology,” IEEE J. Sel. Top. Quantum Electron. 5, 1289–1297 (1999).
  21. X. Orignac, J. Ingenhoff, and N. Fabricius, “Modeling and properties of an ion-exchanged optical variable attenuator,” in Integrated Optics Devices III, G. C. Righini and S. I. Najafi, eds., Proc. SPIE 3620, 220–232 (1999).
  22. Y. P. Handa, J. Roovers, and P. Moulinié, “Gas transport properties of substituted PEEKs,” J. Polym. Sci. Part B Polym. Phys. 35, 2355–23262 (1997).
  23. D. S. Pope, G. K. Fleming, and W. J. Koros, “Effect of various exposure histories on sorption and dilation in a family of polycarbonates,” Macromolecules 23, 2988–2994 (1990).
  24. S. S. Jordan and W. J. Koros, “A free volume distribution model of gas sorption and dilation in glassy polymers,” Macromolecules 28, 2228–2235 (1995).
  25. Y. Inoue, A. Kaneko, F. Hanawa, H. Takahashi, K. Hattori, and S. Sumida, “Athermal silica-based arrayed-waveguide grating multiplexer,” Electron Lett. 33, 1945–1947 (1997).

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