Abstract

One can increase the angular tolerance of resonant grating filters without modifying the spectral bandwidth by adding a second grating component parallel to the first one. The angular tolerance and the filter linewidth can be controlled by the designer in an independent way. Numerical results show that this property permits the use of waveguide-grating filters with standard collimated beams.

© 1998 Optical Society of America

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References

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R. Magnusson, S. S. Wang, T. D. Black, and A. Sohn, IEEE Trans. Antennas Propag. 42, 567 (1994).
[CrossRef]

S. S. Wang and R. Magnusson, Opt. Lett. 19, 919 (1994).
[CrossRef] [PubMed]

1990

1979

P. Vincent and M. Neviere, Appl. Phys. 20, 345 (1979).
[CrossRef]

Barnes, W. L.

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, Phys. Rev. B 54, 6227 (1996).
[CrossRef]

Black, T. D.

R. Magnusson, S. S. Wang, T. D. Black, and A. Sohn, IEEE Trans. Antennas Propag. 42, 567 (1994).
[CrossRef]

Erdogan, T.

Kitson, S. C.

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, Phys. Rev. B 54, 6227 (1996).
[CrossRef]

Magnusson, R.

S. S. Wang and R. Magnusson, Opt. Lett. 19, 919 (1994).
[CrossRef] [PubMed]

R. Magnusson, S. S. Wang, T. D. Black, and A. Sohn, IEEE Trans. Antennas Propag. 42, 567 (1994).
[CrossRef]

Morris, G. M.

Neviere, M.

P. Vincent and M. Neviere, Appl. Phys. 20, 345 (1979).
[CrossRef]

Norton, S. M.

Peng, S.

Peng, S. T.

Preist, T. W.

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, Phys. Rev. B 54, 6227 (1996).
[CrossRef]

Sambles, J. R.

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, Phys. Rev. B 54, 6227 (1996).
[CrossRef]

Sohn, A.

R. Magnusson, S. S. Wang, T. D. Black, and A. Sohn, IEEE Trans. Antennas Propag. 42, 567 (1994).
[CrossRef]

Tamir, T.

Vincent, P.

P. Vincent and M. Neviere, Appl. Phys. 20, 345 (1979).
[CrossRef]

Wang, S. S.

S. S. Wang and R. Magnusson, Opt. Lett. 19, 919 (1994).
[CrossRef] [PubMed]

R. Magnusson, S. S. Wang, T. D. Black, and A. Sohn, IEEE Trans. Antennas Propag. 42, 567 (1994).
[CrossRef]

Zhang, S.

Appl. Phys.

P. Vincent and M. Neviere, Appl. Phys. 20, 345 (1979).
[CrossRef]

IEEE Trans. Antennas Propag.

R. Magnusson, S. S. Wang, T. D. Black, and A. Sohn, IEEE Trans. Antennas Propag. 42, 567 (1994).
[CrossRef]

J. Opt. Soc. Am. A

Opt. Lett.

Phys. Rev. B

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, Phys. Rev. B 54, 6227 (1996).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

(a) Geometry of a one-dimensional SRG under TE illumination. (b) Geometry of the double grating structure.

Fig. 2
Fig. 2

(a) Dispersion curves of the homogenized structure (solid curves). Changes induced by the periodic modulation of the dielectric constant (dashed curves). (b) Dispersion curves for a doubly periodic structure.

Fig. 3
Fig. 3

Reflectance versus angle of incidence and wavelength for two DPS’s. Higher values of reflectance correspond to darker zones. inc=1, subs=1.522, 1=2.0852, 2=2.0352, g=1.972, Λd=0.314 µm, ag=Λd/2, a=Λs/2, dg=0.006 µm, ds=0.134 µm. (a) ξ=0, (b) ξ=Λs/2.

Fig. 4
Fig. 4

Spectral and angular response of the DPS’s and the SRG. Solid curves, SRG inc=1, subs=1.522, 1=2.0752, 2=2.0252, Λs=0.314 µm, ds=0.134 µm, a=Λs/2, λ0=0.550515 µm, 2-1/=0.1. Long-dashed curves, same as in Fig.  3 but with λ0=0.550750 µm, ξ=Λs/2, 2-1/=0.1. Short-dashed curves, same as in Fig.  3 but with 1=2.52, 2=1.52, g=2.072, Λd=0.356 µm, ag=Λd/2, a=Λs/2, λ0=0.550554 µm, ξ=Λs/2, 2-1/=0.94.

Equations (3)

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Ex,y=expiβxfx,y,
ΔE+yω/c2E=-δx,yω/c2E,
β=k sin θ+mKs,

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