Abstract

At nonnormal incidence, the radiant reflectance of a highly reflecting multilayer coating strongly depends on the thickness of the outer layer.

© 1999 Optical Society of America

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References

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  1. J. N. Winn, Y. Fink, S. Fan, J. D. Joannopoulos, “Omnidirectional reflection from a one dimensional photonic crystal,” Opt. Lett. 23, 1573–1575 (1998).
    [CrossRef]
  2. M. Cutler, “Reflection of light from multilayer films,” B.S. thesis (Department of Physics, Massachusetts Institute of Technology, 13May1939).
  3. H. F. Mahlein, “Properties of laser mirrors at nonnormal incidence,” Opt. Acta 20, 687–697 (1973).
    [CrossRef]
  4. K. D. Laakmann, M. B. Levy, “Hollow lightpipe and lightpipe tip using a low refractive index inner layer,” U.S. patent5,005,944 (9April1991).
  5. G. Koppelmann, “Zur Theorie der Wechselschichten aus schwachabsorbierenden Substanzen und ihre Verwendung als Interferometerespiegel,” Ann. Phys. (Leipzig) 5, 388–404 (1960).
    [CrossRef]

1998

1973

H. F. Mahlein, “Properties of laser mirrors at nonnormal incidence,” Opt. Acta 20, 687–697 (1973).
[CrossRef]

1960

G. Koppelmann, “Zur Theorie der Wechselschichten aus schwachabsorbierenden Substanzen und ihre Verwendung als Interferometerespiegel,” Ann. Phys. (Leipzig) 5, 388–404 (1960).
[CrossRef]

Cutler, M.

M. Cutler, “Reflection of light from multilayer films,” B.S. thesis (Department of Physics, Massachusetts Institute of Technology, 13May1939).

Fan, S.

Fink, Y.

Joannopoulos, J. D.

Koppelmann, G.

G. Koppelmann, “Zur Theorie der Wechselschichten aus schwachabsorbierenden Substanzen und ihre Verwendung als Interferometerespiegel,” Ann. Phys. (Leipzig) 5, 388–404 (1960).
[CrossRef]

Laakmann, K. D.

K. D. Laakmann, M. B. Levy, “Hollow lightpipe and lightpipe tip using a low refractive index inner layer,” U.S. patent5,005,944 (9April1991).

Levy, M. B.

K. D. Laakmann, M. B. Levy, “Hollow lightpipe and lightpipe tip using a low refractive index inner layer,” U.S. patent5,005,944 (9April1991).

Mahlein, H. F.

H. F. Mahlein, “Properties of laser mirrors at nonnormal incidence,” Opt. Acta 20, 687–697 (1973).
[CrossRef]

Winn, J. N.

Ann. Phys. (Leipzig)

G. Koppelmann, “Zur Theorie der Wechselschichten aus schwachabsorbierenden Substanzen und ihre Verwendung als Interferometerespiegel,” Ann. Phys. (Leipzig) 5, 388–404 (1960).
[CrossRef]

Opt. Acta

H. F. Mahlein, “Properties of laser mirrors at nonnormal incidence,” Opt. Acta 20, 687–697 (1973).
[CrossRef]

Opt. Lett.

Other

K. D. Laakmann, M. B. Levy, “Hollow lightpipe and lightpipe tip using a low refractive index inner layer,” U.S. patent5,005,944 (9April1991).

M. Cutler, “Reflection of light from multilayer films,” B.S. thesis (Department of Physics, Massachusetts Institute of Technology, 13May1939).

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Figures (1)

Fig. 1
Fig. 1

Versus angle in the incident medium of air and at a wavelength λ0, radiant transmittance for p linearly polarized flux (short dash) and s linearly polarized flux (long dash) of the multilayer reflector air 1.27H L (H L)4 substrate. The solid curve is the radiant transmittance for p linearly polarized flux of air (H L)5 substrate. L, H, and substrate represent materials with refractive indices of 1.70, 3.40, and 1.50, respectively. L and H represent layers of optical thickness λ0/4.

Equations (4)

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Rp=n0 sec θ0-Y/Y02n0 sec θ0+Y/Y02
Rs=n0 cos θ0-Y/Y02n0 cos θ0+Y/Y02
air 1.27H L H L4substrate,
air H L5 substrate,

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