Skip to main content
Log in

Infrared Refractive Index and Extinction Coefficient of Polyimide Films

  • Published:
International Journal of Thermophysics Aims and scope Submit manuscript

Abstract

We have measured the transmittance of several polyimide (C22H10N2O4) films at wave numbers from 6000 to 500 cm−1 (wavelengths from 1.67 to 20 μm) using a Fourier-transform infrared (FT-IR) spectrometer. The free-standing polyimide films are made by spin coating and thermal curing processes. The thickness of the films ranges from 0.1 to 4 μm. In the nonabsorbing region from 6000 to 4000 cm−1, the minimum transmittance caused by interference is used to obtain the refractive index for film thicknesses greater than 1 μm. The film thicknesses are determined by fitting the spectral transmittance using the refractive index. Molecular absorption strongly reduces the transmittance at wave numbers from 2000 to 500 cm−1. The optical constants, i.e., the refractive index and the extinction coefficient, are determined from the measured transmittance for several films of different thickness using a least-squares method. A Lorentzian oscillator model is also developed, which in general agrees well with the measured transmittance at wave numbers from 6000 to 500 cm−1. This study will facilitate the application of polyimide films in the fabrication of infrared filters and other optoelectronic applications. The methods presented in this paper can be used to determine the optical constants of other types of thin-film materials.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. A. M. Wilson, in Polyimides: Synthesis, Characterization and Applications, K. L. Mittal, ed. (Plenum, New York, 1984), Vol. 2, p. 715.

    Google Scholar 

  2. T. Verbiest, D. M. Burland, M. C. Jurich, V. Y. Lee, R. D. Miller, and W. Volksen, Science 268:1604 (1995).

    Google Scholar 

  3. R. Wolf, H.-G. Birken, and C. Kunz, Appl. Opt. 31:7313 (1992).

    Google Scholar 

  4. F. R. Powell, R. A. M. Keski-Kuha, M. V. Zombeck, R. E. Goddard, G. Chartas, L. K. Townsley, E. Möbius, J. M. Davis, and G. M. Mason, in Grazing Incidence and Multilayer X-Ray Optical Systems, Vol. 3113, R. B. Hoover and A. B. Walker, eds. (SPIE, Bellingham, WA, 1997). pp. 432–440.

    Google Scholar 

  5. K. W. Kim, C. E. Hong, S. C. Choi, S. J. Cho, C. N. Whang, T. E. Shim, and D. H. Lee, J. Vac. Sci. Technol. A12:3180 (1994).

    Google Scholar 

  6. C. D. Dimitrakopoulos, S. P. Kowalczyk, and K.-W. Lee, Polymer 36:4983 (1995).

    Google Scholar 

  7. H. Ishida and M. T. Huang, Mikrochim. Acta 51A:319 (1995).

    Google Scholar 

  8. M. Saito, T. Gojo, Y. Kato, and M. Miyagi, Infrared Phys. Technol. 36:1125 (1995).

    Google Scholar 

  9. T. C. Kowalczyk, T. Z. Kosc, K. D. Singer, A. J. Beuhler, D. A. Wargowski, P. A. Cahill, C. H. Seager, M. B. Meinhardt, and S. Ermer, J. Appl. Phys. 78:5876 (1995).

    Google Scholar 

  10. U. Goeschel, H. Lee, D. Y. Yoon, R. L. Siemens, B. A. Smith, and W. Volksen, Colloid Polymer Sci. 272:1388 (1994).

    Google Scholar 

  11. A. Frenkel and Z. M. Zhang, Opt. Lett. 19:1495 (1994).

    Google Scholar 

  12. Z. M. Zhang, L. M. Hanssen, J. J. Hsia, R. U. Datla, C. Zhu, and P. R. Griffiths, Mikrochim. Acta Suppl. 14:315 (1997).

    Google Scholar 

  13. M. I. Flik and Z. M. Zhang, J. Quant. Spectrosc. Radiat. Transfer 47:293 (1992).

    Google Scholar 

  14. D. Gupta, L. Wang, L. M. Hanssen, J. J. Hsia, and R. U. Datla, Polystyrene Films for Calibrating the Wavelength Scale of Infrared Spectrophotometers—SRM 1921, NIST SP 260-122 (U.S. Government Printing Office, Washington DC, 1995).

    Google Scholar 

  15. Z. M. Zhang, J. Heat Transfer 119:645 (1997).

    Google Scholar 

  16. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980), Chaps. 1, 13.

    Google Scholar 

  17. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran, 2nd ed. (Cambridge University Press, Cambridge, 1992), Chap. 15.

    Google Scholar 

  18. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983), Chap. 9.

    Google Scholar 

  19. Z. M. Zhang, B. I. Choi, M. I. Flik, and A. C. Anderson, J. Opt. Soc. Am. B11:2252 (1994).

    Google Scholar 

  20. Z. M. Zhang, L. M. Hanssen, and R. U. Datla, Infrared Phys. Technol. 37:539 (1996).

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, Z.M., Lefever-Button, G. & Powell, F.R. Infrared Refractive Index and Extinction Coefficient of Polyimide Films. International Journal of Thermophysics 19, 905–916 (1998). https://doi.org/10.1023/A:1022655309574

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1022655309574

Navigation