Abstract

The tuning performance of a liquid-crystal, electro-optically tunable, Lyot filter is described. This filter is widely tunable across the visible region up to a wavelength of approximately 630 nm and has very high performance characteristics that are preserved over the entire tuning range. These include a narrow passband of 0.1 nm, a large-aperture performance of at least 30 mm, a wide field of view of ±8.5°, and the ability to be tuned to an accuracy that is one tenth of the linewidth of the passband. Possible applications for such a filter include remote sensing, multispectral sensing, and laser environmental and underwater monitoring.

© 1998 Optical Society of America

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References

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  1. M. W. Maeda, J. S. Patel, C. Lin, J. Horrobin, R. Spicer, “Electronically tunable liquid crystal etalon filter for high density WDM applications,” IEEE Photonics Technol. Lett. 2, 820–822 (1990).
    [CrossRef]
  2. K. Hirabayashi, H. Tsuda, T. Kurokawa, “Narrow-band tunable wavelength selective filters of Fabry Perot interferometers with a liquid crystal cavity,” IEEE Photonics Technol. Lett. 3, 213–215 (1991).
    [CrossRef]
  3. Y. Fujii, “Tunable wavelength multi/demultiplexer using a variable retardation phase plate,” Appl. Opt. 29, 3465–3467 (1990).
    [CrossRef] [PubMed]
  4. J. S. Patel, M. W. Maeda, “Tunable polarization diversity liquid crystal wavelength filter,” IEEE Photonics Technol. Lett. 3, 739–740 (1991).
    [CrossRef]
  5. S. Rees, J. Staromlynska, “Automatic laser light detection and filtering using a liquid crystal Lyot filter,” Int. J. Nonlinear Opt. Phys. 2, 661–676 (1993).
    [CrossRef]
  6. C.-S. Wu, S.-T. Wu, “Liquid-crystal-based switchable po-larizers for sensor protection,” Appl. Opt. 34, 7221–7227 (1995).
    [CrossRef] [PubMed]
  7. W. J. Gunning, “Electro-optically tuned spectral filters: a review,” Opt. Eng. 20, 837–845 (1981).
    [CrossRef]
  8. C. H. Burton, A. J. Leistner, D. M. Rust, “Electro-optic Fabry–Perot filter: development for the study of solar oscillations,” Appl. Opt. 26, 2637–2642 (1987).
    [CrossRef] [PubMed]
  9. R. S. Seymour, S. M. Rees, J. Staromlynska, J. Richards, P. Wilson, “Design considerations for a liquid crystal tuned Lyot filter for laser bathymetry,” Opt. Eng. 33, 915–923 (1994).
    [CrossRef]
  10. S. Rees, J. Staromlynska, M. P. Gillyon, J. Davy, “Final design and testing of the Laser Airborne Depth Sounder Filter,” Opt. Eng. 36, 1204–1213 (1997).
    [CrossRef]
  11. J. Staromlynska, D. W. Craig, R. A. Clay, A. Miller, R. A. Clay, K. J. Harrison, D. Tytler, “Electro-optic and nonlinear optical devices using liquid crystals,” in Materials for Non-linear and Electro-optics 1989, No. 103 in the Institute of Physics Conference Series, M. H. Lyons , ed. ( Institute of Physics , London , 1989) , Sect. 2.4, pp. 203–208.
  12. S.-T. Wu, “Design of liquid crystal based tunable electro-optic filter,” Appl. Opt. 28, 48–52 (1989).
    [CrossRef] [PubMed]
  13. J. Staromlynska, “Electro-optic broadband tunable filters using liquid crystals,” J. Mod. Opt. 37, 639–652 (1990).
    [CrossRef]
  14. M. F. Penny, R. H. Abbot, D. M. Phillips, B. Billard, D. Rees, D. W. Faulkner, D. G. Cartwright, B. Woodcock, G. J. Perry, P. J. Wilsen, T. R. Adams, J. Richards, “Airborne laser hydrography in Australia,” Appl. Opt. 25, 2046–2058 (1986).
    [CrossRef] [PubMed]
  15. R. H. Abbot, D. W. Lane, M. J. Sinclair, “Lasers chart the waters of Australia’s Great Barrier Reef,” in CIS Selected Papers in Laser Remote Sensing of Natural Waters—From Theory to Practice, V. Feigels, Y. Kopilevich, eds., Proc. SPIE2964, 72–90 (1996).
    [CrossRef]
  16. S. M. Rees, J. Staromlynska, M. Gillyon, J. R. Davy, “High performance optical filter for the Australian Laser Airborne Depth Sounder,” in CIS Selected Papers in Laser Remote Sensing of Natural Waters—From Theory to Practice, V. Feigels, Y. Kopilevich, eds., Proc. SPIE2964, 138–144 (1996).
    [CrossRef]
  17. J. W. Evans, “The birefringent filter,” J. Opt. Soc. Am. 39, 229–242 (1949).
    [CrossRef]
  18. V. G. Dimitriev, G. G. Gurzadyan, D. N. Nikogosan, “Nonlinear optical properties of crystals,” Handbook of Nonlinear Optical Crystals, Vol. 64 of Optical Sciences (Springer-Verlag, New York, 1991), Chap. 3.
  19. D. W. Craig, J. Staromlynska, “Comparison of variable birefringent filters and Fabry Perot etalons for use as tunable filters,” IEEE J. Quantum Electron. 26, 1440–1446 (1990).
    [CrossRef]
  20. Extension of the Jones 2 × 2 matrix model has been made by M. Gillyon and J. Staromlynska.
  21. P. Yeh, “Extended Jones matrix method,” J. Opt. Soc. Am. 72, 507–513 (1982).
    [CrossRef]

1997 (1)

S. Rees, J. Staromlynska, M. P. Gillyon, J. Davy, “Final design and testing of the Laser Airborne Depth Sounder Filter,” Opt. Eng. 36, 1204–1213 (1997).
[CrossRef]

1995 (1)

1994 (1)

R. S. Seymour, S. M. Rees, J. Staromlynska, J. Richards, P. Wilson, “Design considerations for a liquid crystal tuned Lyot filter for laser bathymetry,” Opt. Eng. 33, 915–923 (1994).
[CrossRef]

1993 (1)

S. Rees, J. Staromlynska, “Automatic laser light detection and filtering using a liquid crystal Lyot filter,” Int. J. Nonlinear Opt. Phys. 2, 661–676 (1993).
[CrossRef]

1991 (2)

K. Hirabayashi, H. Tsuda, T. Kurokawa, “Narrow-band tunable wavelength selective filters of Fabry Perot interferometers with a liquid crystal cavity,” IEEE Photonics Technol. Lett. 3, 213–215 (1991).
[CrossRef]

J. S. Patel, M. W. Maeda, “Tunable polarization diversity liquid crystal wavelength filter,” IEEE Photonics Technol. Lett. 3, 739–740 (1991).
[CrossRef]

1990 (4)

J. Staromlynska, “Electro-optic broadband tunable filters using liquid crystals,” J. Mod. Opt. 37, 639–652 (1990).
[CrossRef]

D. W. Craig, J. Staromlynska, “Comparison of variable birefringent filters and Fabry Perot etalons for use as tunable filters,” IEEE J. Quantum Electron. 26, 1440–1446 (1990).
[CrossRef]

M. W. Maeda, J. S. Patel, C. Lin, J. Horrobin, R. Spicer, “Electronically tunable liquid crystal etalon filter for high density WDM applications,” IEEE Photonics Technol. Lett. 2, 820–822 (1990).
[CrossRef]

Y. Fujii, “Tunable wavelength multi/demultiplexer using a variable retardation phase plate,” Appl. Opt. 29, 3465–3467 (1990).
[CrossRef] [PubMed]

1989 (1)

1987 (1)

1986 (1)

1982 (1)

1981 (1)

W. J. Gunning, “Electro-optically tuned spectral filters: a review,” Opt. Eng. 20, 837–845 (1981).
[CrossRef]

1949 (1)

Abbot, R. H.

M. F. Penny, R. H. Abbot, D. M. Phillips, B. Billard, D. Rees, D. W. Faulkner, D. G. Cartwright, B. Woodcock, G. J. Perry, P. J. Wilsen, T. R. Adams, J. Richards, “Airborne laser hydrography in Australia,” Appl. Opt. 25, 2046–2058 (1986).
[CrossRef] [PubMed]

R. H. Abbot, D. W. Lane, M. J. Sinclair, “Lasers chart the waters of Australia’s Great Barrier Reef,” in CIS Selected Papers in Laser Remote Sensing of Natural Waters—From Theory to Practice, V. Feigels, Y. Kopilevich, eds., Proc. SPIE2964, 72–90 (1996).
[CrossRef]

Adams, T. R.

Billard, B.

Burton, C. H.

Cartwright, D. G.

Clay, R. A.

J. Staromlynska, D. W. Craig, R. A. Clay, A. Miller, R. A. Clay, K. J. Harrison, D. Tytler, “Electro-optic and nonlinear optical devices using liquid crystals,” in Materials for Non-linear and Electro-optics 1989, No. 103 in the Institute of Physics Conference Series, M. H. Lyons , ed. ( Institute of Physics , London , 1989) , Sect. 2.4, pp. 203–208.

J. Staromlynska, D. W. Craig, R. A. Clay, A. Miller, R. A. Clay, K. J. Harrison, D. Tytler, “Electro-optic and nonlinear optical devices using liquid crystals,” in Materials for Non-linear and Electro-optics 1989, No. 103 in the Institute of Physics Conference Series, M. H. Lyons , ed. ( Institute of Physics , London , 1989) , Sect. 2.4, pp. 203–208.

Craig, D. W.

D. W. Craig, J. Staromlynska, “Comparison of variable birefringent filters and Fabry Perot etalons for use as tunable filters,” IEEE J. Quantum Electron. 26, 1440–1446 (1990).
[CrossRef]

J. Staromlynska, D. W. Craig, R. A. Clay, A. Miller, R. A. Clay, K. J. Harrison, D. Tytler, “Electro-optic and nonlinear optical devices using liquid crystals,” in Materials for Non-linear and Electro-optics 1989, No. 103 in the Institute of Physics Conference Series, M. H. Lyons , ed. ( Institute of Physics , London , 1989) , Sect. 2.4, pp. 203–208.

Davy, J.

S. Rees, J. Staromlynska, M. P. Gillyon, J. Davy, “Final design and testing of the Laser Airborne Depth Sounder Filter,” Opt. Eng. 36, 1204–1213 (1997).
[CrossRef]

Davy, J. R.

S. M. Rees, J. Staromlynska, M. Gillyon, J. R. Davy, “High performance optical filter for the Australian Laser Airborne Depth Sounder,” in CIS Selected Papers in Laser Remote Sensing of Natural Waters—From Theory to Practice, V. Feigels, Y. Kopilevich, eds., Proc. SPIE2964, 138–144 (1996).
[CrossRef]

Dimitriev, V. G.

V. G. Dimitriev, G. G. Gurzadyan, D. N. Nikogosan, “Nonlinear optical properties of crystals,” Handbook of Nonlinear Optical Crystals, Vol. 64 of Optical Sciences (Springer-Verlag, New York, 1991), Chap. 3.

Evans, J. W.

Faulkner, D. W.

Fujii, Y.

Gillyon, M.

S. M. Rees, J. Staromlynska, M. Gillyon, J. R. Davy, “High performance optical filter for the Australian Laser Airborne Depth Sounder,” in CIS Selected Papers in Laser Remote Sensing of Natural Waters—From Theory to Practice, V. Feigels, Y. Kopilevich, eds., Proc. SPIE2964, 138–144 (1996).
[CrossRef]

Gillyon, M. P.

S. Rees, J. Staromlynska, M. P. Gillyon, J. Davy, “Final design and testing of the Laser Airborne Depth Sounder Filter,” Opt. Eng. 36, 1204–1213 (1997).
[CrossRef]

Gunning, W. J.

W. J. Gunning, “Electro-optically tuned spectral filters: a review,” Opt. Eng. 20, 837–845 (1981).
[CrossRef]

Gurzadyan, G. G.

V. G. Dimitriev, G. G. Gurzadyan, D. N. Nikogosan, “Nonlinear optical properties of crystals,” Handbook of Nonlinear Optical Crystals, Vol. 64 of Optical Sciences (Springer-Verlag, New York, 1991), Chap. 3.

Harrison, K. J.

J. Staromlynska, D. W. Craig, R. A. Clay, A. Miller, R. A. Clay, K. J. Harrison, D. Tytler, “Electro-optic and nonlinear optical devices using liquid crystals,” in Materials for Non-linear and Electro-optics 1989, No. 103 in the Institute of Physics Conference Series, M. H. Lyons , ed. ( Institute of Physics , London , 1989) , Sect. 2.4, pp. 203–208.

Hirabayashi, K.

K. Hirabayashi, H. Tsuda, T. Kurokawa, “Narrow-band tunable wavelength selective filters of Fabry Perot interferometers with a liquid crystal cavity,” IEEE Photonics Technol. Lett. 3, 213–215 (1991).
[CrossRef]

Horrobin, J.

M. W. Maeda, J. S. Patel, C. Lin, J. Horrobin, R. Spicer, “Electronically tunable liquid crystal etalon filter for high density WDM applications,” IEEE Photonics Technol. Lett. 2, 820–822 (1990).
[CrossRef]

Kurokawa, T.

K. Hirabayashi, H. Tsuda, T. Kurokawa, “Narrow-band tunable wavelength selective filters of Fabry Perot interferometers with a liquid crystal cavity,” IEEE Photonics Technol. Lett. 3, 213–215 (1991).
[CrossRef]

Lane, D. W.

R. H. Abbot, D. W. Lane, M. J. Sinclair, “Lasers chart the waters of Australia’s Great Barrier Reef,” in CIS Selected Papers in Laser Remote Sensing of Natural Waters—From Theory to Practice, V. Feigels, Y. Kopilevich, eds., Proc. SPIE2964, 72–90 (1996).
[CrossRef]

Leistner, A. J.

Lin, C.

M. W. Maeda, J. S. Patel, C. Lin, J. Horrobin, R. Spicer, “Electronically tunable liquid crystal etalon filter for high density WDM applications,” IEEE Photonics Technol. Lett. 2, 820–822 (1990).
[CrossRef]

Maeda, M. W.

J. S. Patel, M. W. Maeda, “Tunable polarization diversity liquid crystal wavelength filter,” IEEE Photonics Technol. Lett. 3, 739–740 (1991).
[CrossRef]

M. W. Maeda, J. S. Patel, C. Lin, J. Horrobin, R. Spicer, “Electronically tunable liquid crystal etalon filter for high density WDM applications,” IEEE Photonics Technol. Lett. 2, 820–822 (1990).
[CrossRef]

Miller, A.

J. Staromlynska, D. W. Craig, R. A. Clay, A. Miller, R. A. Clay, K. J. Harrison, D. Tytler, “Electro-optic and nonlinear optical devices using liquid crystals,” in Materials for Non-linear and Electro-optics 1989, No. 103 in the Institute of Physics Conference Series, M. H. Lyons , ed. ( Institute of Physics , London , 1989) , Sect. 2.4, pp. 203–208.

Nikogosan, D. N.

V. G. Dimitriev, G. G. Gurzadyan, D. N. Nikogosan, “Nonlinear optical properties of crystals,” Handbook of Nonlinear Optical Crystals, Vol. 64 of Optical Sciences (Springer-Verlag, New York, 1991), Chap. 3.

Patel, J. S.

J. S. Patel, M. W. Maeda, “Tunable polarization diversity liquid crystal wavelength filter,” IEEE Photonics Technol. Lett. 3, 739–740 (1991).
[CrossRef]

M. W. Maeda, J. S. Patel, C. Lin, J. Horrobin, R. Spicer, “Electronically tunable liquid crystal etalon filter for high density WDM applications,” IEEE Photonics Technol. Lett. 2, 820–822 (1990).
[CrossRef]

Penny, M. F.

Perry, G. J.

Phillips, D. M.

Rees, D.

Rees, S.

S. Rees, J. Staromlynska, M. P. Gillyon, J. Davy, “Final design and testing of the Laser Airborne Depth Sounder Filter,” Opt. Eng. 36, 1204–1213 (1997).
[CrossRef]

S. Rees, J. Staromlynska, “Automatic laser light detection and filtering using a liquid crystal Lyot filter,” Int. J. Nonlinear Opt. Phys. 2, 661–676 (1993).
[CrossRef]

Rees, S. M.

R. S. Seymour, S. M. Rees, J. Staromlynska, J. Richards, P. Wilson, “Design considerations for a liquid crystal tuned Lyot filter for laser bathymetry,” Opt. Eng. 33, 915–923 (1994).
[CrossRef]

S. M. Rees, J. Staromlynska, M. Gillyon, J. R. Davy, “High performance optical filter for the Australian Laser Airborne Depth Sounder,” in CIS Selected Papers in Laser Remote Sensing of Natural Waters—From Theory to Practice, V. Feigels, Y. Kopilevich, eds., Proc. SPIE2964, 138–144 (1996).
[CrossRef]

Richards, J.

R. S. Seymour, S. M. Rees, J. Staromlynska, J. Richards, P. Wilson, “Design considerations for a liquid crystal tuned Lyot filter for laser bathymetry,” Opt. Eng. 33, 915–923 (1994).
[CrossRef]

M. F. Penny, R. H. Abbot, D. M. Phillips, B. Billard, D. Rees, D. W. Faulkner, D. G. Cartwright, B. Woodcock, G. J. Perry, P. J. Wilsen, T. R. Adams, J. Richards, “Airborne laser hydrography in Australia,” Appl. Opt. 25, 2046–2058 (1986).
[CrossRef] [PubMed]

Rust, D. M.

Seymour, R. S.

R. S. Seymour, S. M. Rees, J. Staromlynska, J. Richards, P. Wilson, “Design considerations for a liquid crystal tuned Lyot filter for laser bathymetry,” Opt. Eng. 33, 915–923 (1994).
[CrossRef]

Sinclair, M. J.

R. H. Abbot, D. W. Lane, M. J. Sinclair, “Lasers chart the waters of Australia’s Great Barrier Reef,” in CIS Selected Papers in Laser Remote Sensing of Natural Waters—From Theory to Practice, V. Feigels, Y. Kopilevich, eds., Proc. SPIE2964, 72–90 (1996).
[CrossRef]

Spicer, R.

M. W. Maeda, J. S. Patel, C. Lin, J. Horrobin, R. Spicer, “Electronically tunable liquid crystal etalon filter for high density WDM applications,” IEEE Photonics Technol. Lett. 2, 820–822 (1990).
[CrossRef]

Staromlynska, J.

S. Rees, J. Staromlynska, M. P. Gillyon, J. Davy, “Final design and testing of the Laser Airborne Depth Sounder Filter,” Opt. Eng. 36, 1204–1213 (1997).
[CrossRef]

R. S. Seymour, S. M. Rees, J. Staromlynska, J. Richards, P. Wilson, “Design considerations for a liquid crystal tuned Lyot filter for laser bathymetry,” Opt. Eng. 33, 915–923 (1994).
[CrossRef]

S. Rees, J. Staromlynska, “Automatic laser light detection and filtering using a liquid crystal Lyot filter,” Int. J. Nonlinear Opt. Phys. 2, 661–676 (1993).
[CrossRef]

J. Staromlynska, “Electro-optic broadband tunable filters using liquid crystals,” J. Mod. Opt. 37, 639–652 (1990).
[CrossRef]

D. W. Craig, J. Staromlynska, “Comparison of variable birefringent filters and Fabry Perot etalons for use as tunable filters,” IEEE J. Quantum Electron. 26, 1440–1446 (1990).
[CrossRef]

S. M. Rees, J. Staromlynska, M. Gillyon, J. R. Davy, “High performance optical filter for the Australian Laser Airborne Depth Sounder,” in CIS Selected Papers in Laser Remote Sensing of Natural Waters—From Theory to Practice, V. Feigels, Y. Kopilevich, eds., Proc. SPIE2964, 138–144 (1996).
[CrossRef]

J. Staromlynska, D. W. Craig, R. A. Clay, A. Miller, R. A. Clay, K. J. Harrison, D. Tytler, “Electro-optic and nonlinear optical devices using liquid crystals,” in Materials for Non-linear and Electro-optics 1989, No. 103 in the Institute of Physics Conference Series, M. H. Lyons , ed. ( Institute of Physics , London , 1989) , Sect. 2.4, pp. 203–208.

Tsuda, H.

K. Hirabayashi, H. Tsuda, T. Kurokawa, “Narrow-band tunable wavelength selective filters of Fabry Perot interferometers with a liquid crystal cavity,” IEEE Photonics Technol. Lett. 3, 213–215 (1991).
[CrossRef]

Tytler, D.

J. Staromlynska, D. W. Craig, R. A. Clay, A. Miller, R. A. Clay, K. J. Harrison, D. Tytler, “Electro-optic and nonlinear optical devices using liquid crystals,” in Materials for Non-linear and Electro-optics 1989, No. 103 in the Institute of Physics Conference Series, M. H. Lyons , ed. ( Institute of Physics , London , 1989) , Sect. 2.4, pp. 203–208.

Wilsen, P. J.

Wilson, P.

R. S. Seymour, S. M. Rees, J. Staromlynska, J. Richards, P. Wilson, “Design considerations for a liquid crystal tuned Lyot filter for laser bathymetry,” Opt. Eng. 33, 915–923 (1994).
[CrossRef]

Woodcock, B.

Wu, C.-S.

Wu, S.-T.

Yeh, P.

Appl. Opt. (5)

IEEE J. Quantum Electron. (1)

D. W. Craig, J. Staromlynska, “Comparison of variable birefringent filters and Fabry Perot etalons for use as tunable filters,” IEEE J. Quantum Electron. 26, 1440–1446 (1990).
[CrossRef]

IEEE Photonics Technol. Lett. (3)

M. W. Maeda, J. S. Patel, C. Lin, J. Horrobin, R. Spicer, “Electronically tunable liquid crystal etalon filter for high density WDM applications,” IEEE Photonics Technol. Lett. 2, 820–822 (1990).
[CrossRef]

K. Hirabayashi, H. Tsuda, T. Kurokawa, “Narrow-band tunable wavelength selective filters of Fabry Perot interferometers with a liquid crystal cavity,” IEEE Photonics Technol. Lett. 3, 213–215 (1991).
[CrossRef]

J. S. Patel, M. W. Maeda, “Tunable polarization diversity liquid crystal wavelength filter,” IEEE Photonics Technol. Lett. 3, 739–740 (1991).
[CrossRef]

Int. J. Nonlinear Opt. Phys. (1)

S. Rees, J. Staromlynska, “Automatic laser light detection and filtering using a liquid crystal Lyot filter,” Int. J. Nonlinear Opt. Phys. 2, 661–676 (1993).
[CrossRef]

J. Mod. Opt. (1)

J. Staromlynska, “Electro-optic broadband tunable filters using liquid crystals,” J. Mod. Opt. 37, 639–652 (1990).
[CrossRef]

J. Opt. Soc. Am. (2)

Opt. Eng. (3)

W. J. Gunning, “Electro-optically tuned spectral filters: a review,” Opt. Eng. 20, 837–845 (1981).
[CrossRef]

R. S. Seymour, S. M. Rees, J. Staromlynska, J. Richards, P. Wilson, “Design considerations for a liquid crystal tuned Lyot filter for laser bathymetry,” Opt. Eng. 33, 915–923 (1994).
[CrossRef]

S. Rees, J. Staromlynska, M. P. Gillyon, J. Davy, “Final design and testing of the Laser Airborne Depth Sounder Filter,” Opt. Eng. 36, 1204–1213 (1997).
[CrossRef]

Other (5)

J. Staromlynska, D. W. Craig, R. A. Clay, A. Miller, R. A. Clay, K. J. Harrison, D. Tytler, “Electro-optic and nonlinear optical devices using liquid crystals,” in Materials for Non-linear and Electro-optics 1989, No. 103 in the Institute of Physics Conference Series, M. H. Lyons , ed. ( Institute of Physics , London , 1989) , Sect. 2.4, pp. 203–208.

Extension of the Jones 2 × 2 matrix model has been made by M. Gillyon and J. Staromlynska.

R. H. Abbot, D. W. Lane, M. J. Sinclair, “Lasers chart the waters of Australia’s Great Barrier Reef,” in CIS Selected Papers in Laser Remote Sensing of Natural Waters—From Theory to Practice, V. Feigels, Y. Kopilevich, eds., Proc. SPIE2964, 72–90 (1996).
[CrossRef]

S. M. Rees, J. Staromlynska, M. Gillyon, J. R. Davy, “High performance optical filter for the Australian Laser Airborne Depth Sounder,” in CIS Selected Papers in Laser Remote Sensing of Natural Waters—From Theory to Practice, V. Feigels, Y. Kopilevich, eds., Proc. SPIE2964, 138–144 (1996).
[CrossRef]

V. G. Dimitriev, G. G. Gurzadyan, D. N. Nikogosan, “Nonlinear optical properties of crystals,” Handbook of Nonlinear Optical Crystals, Vol. 64 of Optical Sciences (Springer-Verlag, New York, 1991), Chap. 3.

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Figures (11)

Fig. 1
Fig. 1

Schematic diagram of the Lyot filter.

Fig. 2
Fig. 2

Experimental data illustrating the tuning capability of the filter.

Fig. 3
Fig. 3

High-resolution spectrum recorded after the filter was tuned to (a) 533 nm, (b) 536 nm.

Fig. 4
Fig. 4

High-resolution spectral response of filter tuned to maximize (a) 532 nm, (b) 532 nm.

Fig. 5
Fig. 5

Low-resolution spectral response of filter tuned to green He–Ne line.

Fig. 6
Fig. 6

Low-resolution spectral response of filter tuned to red He–Ne line.

Fig. 7
Fig. 7

Linewidth versus wavelength: comparison of experiment and theory.

Fig. 8
Fig. 8

Variation of experimental values from predicted linewidth values: (a) d = 0.293 mm, (b) d = 0.3 mm.

Fig. 9
Fig. 9

Plot of free spectral range versus wavelength.

Fig. 10
Fig. 10

Linewidth (a) at 532.139 nm, >30-mm aperture; (b) at 549.008 nm, >30-mm aperture.

Fig. 11
Fig. 11

Transmission versus angle of incidence at an azimuthal angle of (a) 180°, (b) 90°, (c) 0°.

Equations (14)

Equations on this page are rendered with MathJax. Learn more.

Tf=l=1Ncos2{2l-1Γ/2}=sin2 2NΓ/222Nsin2 Γ/2.
Γλ=2πdλne2-sin2 θcos2 ϕ+ne2no2sin2 ϕ1/2-(no2-sin2 θ)1/2,
Δλfsr=λdα-Δn/λ,
Δλ1/2=0.886λ2Ndα-Δn/λ,
no=C1+C2λ2-C3-C4λ21/2,
ne=D1+D2+D3λ2-D4-D5λ21/2,
C1=4.913,C2=0.1173+1.65×10-8T2,C3=0.212+2.7×10-8T22,C4=2.78×10-2,D1=4.5567,D2=2.605×10-7T2,D3=0.097+2.7×10-8 T2,D4=0.201+5.4×10-8 T22,D5=2.24×10-2,
α=neλ-noλ,
noλ=0.5C1+C2λ2-C3-C4λ2-0.5×-2C2λ(λ2-C3)2-2C4λ,
neλ=12D1+D2+D3λ2-D4-D5λ2-1/2×-2D3λ(λ2-D4)2-2D5λ.
Δblcdlc=λ.
Δnlcdlc=λ.
ERRORplacement0.1Δλ1/2.
ΔλfsrFP=λ2n2sin2 θ1-sin2 θ2,

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