Abstract

A Fourier transform (FT) approach based on the evaluation of optical-density-bandwidth products in the spectral region of interest was recently proposed for the thickness estimation of reflecting thin-film dielectric filters. For simplicity, the initial discussion was limited to a particular type of immersed coating. The theory is generalized to more realistic filter configurations and confirmed by numerical examples. It is shown that good results are possible although the problem is more complex from a FT point of view.

© 2007 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. E. Delano, "Fourier synthesis of multilayer filters," J. Opt. Soc. Am. 57, 1529-1553 (1967).
  2. L. Sossi, "A method for the synthesis of multilayer dielectric interference coatings," Eesti NSV Tead. Akad. Toim. Fuus. Mat. 23, 229-237 (1974). An English translation is available from the Translation Services of the Canada Institute for Scientific and Technical Information, National Research Council of Canada, Ottawa, Ontario KIA 0R6, Canada.
  3. J. A. Dobrowolski and D. Lowe, "Optical thin film synthesis program based on the use of Fourier transforms," Appl. Opt. 17, 3039-3050 (1978).
  4. P. G. Verly, J. A. Dobrowolski, W. J. Wild, and R. L. Burton, "Synthesis of high rejection filters with the Fourier transform method," Appl. Opt. 28, 2864-2875 (1989).
  5. P. G. Verly, "Design of inhomogeneous and quasi-inhomogeneous optical coatings at the NRC," in Inhomogeneous and Quasi-Inhomogeneous Optical Coatings, J. A. Dobrowolski and P. G. Verly, eds., Proc. SPIE 2046, 36-45 (1993).
    [CrossRef]
  6. P. G. Verly, "Fourier transform approach for the estimation of optical thin film thickness," in Technical Digest, Topical Meeting on Optical Interference Coatings (Optical Society of America, 2001), pp. 1-3, paper TuA9.
  7. P. G. Verly, "Fourier transform approach for thickness estimation of reflecting interference filters," Appl. Opt. 45, 636-641 (2006).
    [CrossRef]
  8. R. R. Willey, "Estimating the number of layers required and other properties of blocker and dichroic optical thin films," Appl. Opt. 35, 4982-4986 (1996).
  9. B. G. Bovard, "Derivation of a matrix describing a rugate dielectric thin film," Appl. Opt. 27, 1998-2005 (1988).
  10. B. G. Bovard, "Fourier transform technique applied to quarterwave optical coatings," Appl. Opt. 27, 3062-3063 (1988).
  11. P. G. Verly and J. A. Dobrowolski, "Iterative correction process for optical thin film synthesis with the Fourier transform method," Appl. Opt. 29, 3672-3684 (1990).
  12. P. G. Verly, A. V. Tikhonravov, and A. D. Poezd, "Multiple solutions to the synthesis of graded index optical coatings," in Inhomogeneous and Quasi-Inhomogeneous Coatings, J. A. Dobrowolski and P. G. Verly, eds., Proc. SPIE 2046, 9-16 (1993).
    [CrossRef]
  13. A. Dinca, V. Lupei, and M. P. Dinca, "Interferential filter design with continuously variable refractive index," in ROMOPTO '97: Fifth Conference on Optics, V. I. Vlad and D. C. Dumitras, eds., Proc. SPIE 3405, 1173-1176 (1998).
    [CrossRef]
  14. P. G. Verly, "Fourier transform technique with frequency filtering for optical thin-film design," Appl. Opt. 34, 688-694 (1995).
  15. E. D. Palik, ed., Handbook of Optical Constants of Solids (Academic, 1985).
  16. P. G. Verly, "Optical coating synthesis by simultaneous refractive-index and thickness refinement of inhomogeneous films," Appl. Opt. 37, 7327-7333 (1998).
  17. J. A. Dobrowolski, S. Browning, M. Jacobson, and M. Nadal, "Topical Meeting on Optical Interference Coatings (OIC '2001): manufacturing problem," Appl. Opt. 41, 3039-3052 (2002).
  18. P. G. Verly, "Fourier transform estimation of reflecting thin film thickness," in Advances in Optical Thin Films II, edited by C. Amra, N. Kaiser, and H. A. Macleod, eds., Proc. SPIE 5963, 596306 (2005).
    [CrossRef]

2006 (1)

P. G. Verly, "Fourier transform approach for thickness estimation of reflecting interference filters," Appl. Opt. 45, 636-641 (2006).
[CrossRef]

2005 (1)

P. G. Verly, "Fourier transform estimation of reflecting thin film thickness," in Advances in Optical Thin Films II, edited by C. Amra, N. Kaiser, and H. A. Macleod, eds., Proc. SPIE 5963, 596306 (2005).
[CrossRef]

2002 (1)

2001 (1)

P. G. Verly, "Fourier transform approach for the estimation of optical thin film thickness," in Technical Digest, Topical Meeting on Optical Interference Coatings (Optical Society of America, 2001), pp. 1-3, paper TuA9.

1998 (2)

A. Dinca, V. Lupei, and M. P. Dinca, "Interferential filter design with continuously variable refractive index," in ROMOPTO '97: Fifth Conference on Optics, V. I. Vlad and D. C. Dumitras, eds., Proc. SPIE 3405, 1173-1176 (1998).
[CrossRef]

P. G. Verly, "Optical coating synthesis by simultaneous refractive-index and thickness refinement of inhomogeneous films," Appl. Opt. 37, 7327-7333 (1998).

1996 (1)

1995 (1)

1993 (2)

P. G. Verly, A. V. Tikhonravov, and A. D. Poezd, "Multiple solutions to the synthesis of graded index optical coatings," in Inhomogeneous and Quasi-Inhomogeneous Coatings, J. A. Dobrowolski and P. G. Verly, eds., Proc. SPIE 2046, 9-16 (1993).
[CrossRef]

P. G. Verly, "Design of inhomogeneous and quasi-inhomogeneous optical coatings at the NRC," in Inhomogeneous and Quasi-Inhomogeneous Optical Coatings, J. A. Dobrowolski and P. G. Verly, eds., Proc. SPIE 2046, 36-45 (1993).
[CrossRef]

1990 (1)

1989 (1)

1988 (2)

1978 (1)

1974 (1)

L. Sossi, "A method for the synthesis of multilayer dielectric interference coatings," Eesti NSV Tead. Akad. Toim. Fuus. Mat. 23, 229-237 (1974). An English translation is available from the Translation Services of the Canada Institute for Scientific and Technical Information, National Research Council of Canada, Ottawa, Ontario KIA 0R6, Canada.

1967 (1)

Bovard, B. G.

Browning, S.

Burton, R. L.

Delano, E.

Dinca, A.

A. Dinca, V. Lupei, and M. P. Dinca, "Interferential filter design with continuously variable refractive index," in ROMOPTO '97: Fifth Conference on Optics, V. I. Vlad and D. C. Dumitras, eds., Proc. SPIE 3405, 1173-1176 (1998).
[CrossRef]

Dinca, M. P.

A. Dinca, V. Lupei, and M. P. Dinca, "Interferential filter design with continuously variable refractive index," in ROMOPTO '97: Fifth Conference on Optics, V. I. Vlad and D. C. Dumitras, eds., Proc. SPIE 3405, 1173-1176 (1998).
[CrossRef]

Dobrowolski, J. A.

Jacobson, M.

Lowe, D.

Lupei, V.

A. Dinca, V. Lupei, and M. P. Dinca, "Interferential filter design with continuously variable refractive index," in ROMOPTO '97: Fifth Conference on Optics, V. I. Vlad and D. C. Dumitras, eds., Proc. SPIE 3405, 1173-1176 (1998).
[CrossRef]

Nadal, M.

Palik, E. D.

E. D. Palik, ed., Handbook of Optical Constants of Solids (Academic, 1985).

Poezd, A. D.

P. G. Verly, A. V. Tikhonravov, and A. D. Poezd, "Multiple solutions to the synthesis of graded index optical coatings," in Inhomogeneous and Quasi-Inhomogeneous Coatings, J. A. Dobrowolski and P. G. Verly, eds., Proc. SPIE 2046, 9-16 (1993).
[CrossRef]

Sossi, L.

L. Sossi, "A method for the synthesis of multilayer dielectric interference coatings," Eesti NSV Tead. Akad. Toim. Fuus. Mat. 23, 229-237 (1974). An English translation is available from the Translation Services of the Canada Institute for Scientific and Technical Information, National Research Council of Canada, Ottawa, Ontario KIA 0R6, Canada.

Tikhonravov, A. V.

P. G. Verly, A. V. Tikhonravov, and A. D. Poezd, "Multiple solutions to the synthesis of graded index optical coatings," in Inhomogeneous and Quasi-Inhomogeneous Coatings, J. A. Dobrowolski and P. G. Verly, eds., Proc. SPIE 2046, 9-16 (1993).
[CrossRef]

Verly, P. G.

P. G. Verly, "Fourier transform approach for thickness estimation of reflecting interference filters," Appl. Opt. 45, 636-641 (2006).
[CrossRef]

P. G. Verly, "Fourier transform estimation of reflecting thin film thickness," in Advances in Optical Thin Films II, edited by C. Amra, N. Kaiser, and H. A. Macleod, eds., Proc. SPIE 5963, 596306 (2005).
[CrossRef]

P. G. Verly, "Fourier transform approach for the estimation of optical thin film thickness," in Technical Digest, Topical Meeting on Optical Interference Coatings (Optical Society of America, 2001), pp. 1-3, paper TuA9.

P. G. Verly, "Optical coating synthesis by simultaneous refractive-index and thickness refinement of inhomogeneous films," Appl. Opt. 37, 7327-7333 (1998).

P. G. Verly, "Fourier transform technique with frequency filtering for optical thin-film design," Appl. Opt. 34, 688-694 (1995).

P. G. Verly, A. V. Tikhonravov, and A. D. Poezd, "Multiple solutions to the synthesis of graded index optical coatings," in Inhomogeneous and Quasi-Inhomogeneous Coatings, J. A. Dobrowolski and P. G. Verly, eds., Proc. SPIE 2046, 9-16 (1993).
[CrossRef]

P. G. Verly, "Design of inhomogeneous and quasi-inhomogeneous optical coatings at the NRC," in Inhomogeneous and Quasi-Inhomogeneous Optical Coatings, J. A. Dobrowolski and P. G. Verly, eds., Proc. SPIE 2046, 36-45 (1993).
[CrossRef]

P. G. Verly and J. A. Dobrowolski, "Iterative correction process for optical thin film synthesis with the Fourier transform method," Appl. Opt. 29, 3672-3684 (1990).

P. G. Verly, J. A. Dobrowolski, W. J. Wild, and R. L. Burton, "Synthesis of high rejection filters with the Fourier transform method," Appl. Opt. 28, 2864-2875 (1989).

Wild, W. J.

Willey, R. R.

Appl. Opt. (10)

Eesti NSV Tead. Akad. Toim. Fuus. Mat. (1)

L. Sossi, "A method for the synthesis of multilayer dielectric interference coatings," Eesti NSV Tead. Akad. Toim. Fuus. Mat. 23, 229-237 (1974). An English translation is available from the Translation Services of the Canada Institute for Scientific and Technical Information, National Research Council of Canada, Ottawa, Ontario KIA 0R6, Canada.

J. Opt. Soc. Am. (1)

Proc. SPIE (4)

P. G. Verly, A. V. Tikhonravov, and A. D. Poezd, "Multiple solutions to the synthesis of graded index optical coatings," in Inhomogeneous and Quasi-Inhomogeneous Coatings, J. A. Dobrowolski and P. G. Verly, eds., Proc. SPIE 2046, 9-16 (1993).
[CrossRef]

A. Dinca, V. Lupei, and M. P. Dinca, "Interferential filter design with continuously variable refractive index," in ROMOPTO '97: Fifth Conference on Optics, V. I. Vlad and D. C. Dumitras, eds., Proc. SPIE 3405, 1173-1176 (1998).
[CrossRef]

P. G. Verly, "Fourier transform estimation of reflecting thin film thickness," in Advances in Optical Thin Films II, edited by C. Amra, N. Kaiser, and H. A. Macleod, eds., Proc. SPIE 5963, 596306 (2005).
[CrossRef]

P. G. Verly, "Design of inhomogeneous and quasi-inhomogeneous optical coatings at the NRC," in Inhomogeneous and Quasi-Inhomogeneous Optical Coatings, J. A. Dobrowolski and P. G. Verly, eds., Proc. SPIE 2046, 36-45 (1993).
[CrossRef]

Other (2)

P. G. Verly, "Fourier transform approach for the estimation of optical thin film thickness," in Technical Digest, Topical Meeting on Optical Interference Coatings (Optical Society of America, 2001), pp. 1-3, paper TuA9.

E. D. Palik, ed., Handbook of Optical Constants of Solids (Academic, 1985).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics