Abstract

The properties of wavelength-division multiplexed (WDM) narrowband filters used in tilted collimated light are described. The wavelength shift for s polarization in a low-index-spacer filter is larger than that for p polarization when the filter is tilted, but it is smaller in a high-index-spacer filter. Therefore the passbands of the tilted filter can be centered at the same wavelength for two polarization modes by use of high- and low-index materials, as appropriate, as spacers or by selection of a moderate-index material instead of a spacer. With such spacers, WDM filters used for incident angles of 20° or even greater are constructed. Experimental results agree with the computed ones.

© 2004 Optical Society of America

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References

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  1. P. Baumeister, “Bandpass design-application to non-normal incidence,” Appl. Opt. 31, 504–512 (1992).
    [CrossRef]
  2. D. Cushing, “Bandpass filter for 45 degree angle with low polarization properties,” in Optical Interference Coatings, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), pp. 226–228.
  3. H. A. Macleod, Thin Film Optical Filters, 2nd ed. (Hilger, Bristol, UK, 1986), pp. 262–265.
  4. C. C. Lee, Thin-Film Optics and Coating Technology, 2nd ed. (Yi Hsien, Taiwan, 2001), Chap. 8.
  5. P. F. Gu, H. F. Li, Y. G. Zhang, X. Lu, “Refractive indexes of oxidized thin films deposited by ion beam sputtering,” Acta Opt. Sin. 22, 290–293 (2002).

2002 (1)

P. F. Gu, H. F. Li, Y. G. Zhang, X. Lu, “Refractive indexes of oxidized thin films deposited by ion beam sputtering,” Acta Opt. Sin. 22, 290–293 (2002).

1992 (1)

Baumeister, P.

Cushing, D.

D. Cushing, “Bandpass filter for 45 degree angle with low polarization properties,” in Optical Interference Coatings, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), pp. 226–228.

Gu, P. F.

P. F. Gu, H. F. Li, Y. G. Zhang, X. Lu, “Refractive indexes of oxidized thin films deposited by ion beam sputtering,” Acta Opt. Sin. 22, 290–293 (2002).

Lee, C. C.

C. C. Lee, Thin-Film Optics and Coating Technology, 2nd ed. (Yi Hsien, Taiwan, 2001), Chap. 8.

Li, H. F.

P. F. Gu, H. F. Li, Y. G. Zhang, X. Lu, “Refractive indexes of oxidized thin films deposited by ion beam sputtering,” Acta Opt. Sin. 22, 290–293 (2002).

Lu, X.

P. F. Gu, H. F. Li, Y. G. Zhang, X. Lu, “Refractive indexes of oxidized thin films deposited by ion beam sputtering,” Acta Opt. Sin. 22, 290–293 (2002).

Macleod, H. A.

H. A. Macleod, Thin Film Optical Filters, 2nd ed. (Hilger, Bristol, UK, 1986), pp. 262–265.

Zhang, Y. G.

P. F. Gu, H. F. Li, Y. G. Zhang, X. Lu, “Refractive indexes of oxidized thin films deposited by ion beam sputtering,” Acta Opt. Sin. 22, 290–293 (2002).

Acta Opt. Sin. (1)

P. F. Gu, H. F. Li, Y. G. Zhang, X. Lu, “Refractive indexes of oxidized thin films deposited by ion beam sputtering,” Acta Opt. Sin. 22, 290–293 (2002).

Appl. Opt. (1)

Other (3)

D. Cushing, “Bandpass filter for 45 degree angle with low polarization properties,” in Optical Interference Coatings, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), pp. 226–228.

H. A. Macleod, Thin Film Optical Filters, 2nd ed. (Hilger, Bristol, UK, 1986), pp. 262–265.

C. C. Lee, Thin-Film Optics and Coating Technology, 2nd ed. (Yi Hsien, Taiwan, 2001), Chap. 8.

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Figures (5)

Fig. 1
Fig. 1

Computed transmittance curves of (a) filter 1 and b filter 2 at an incident angle of 20°: thin dashed curves, s polarization; thick dashed curves, p polarization. Solid curves, averages.

Fig. 2
Fig. 2

Calculated transmittance curves of improved filter 3 at (a) normal incidence, (b) an incident angle of 20°, and (c) an incident angle of 45°: thin dashed curves, s polarization; thick dashed curves, p polarization; s: solid curves, averages.

Fig. 3
Fig. 3

Calculated transmittance curves of improved filter 4 at an incident angle of 20°: short-dashed curve, s polarization; long-dashed curve, p polarization; solid curve, average.

Fig. 4
Fig. 4

Measured transmittance curves of filter 3: (a) normal incidence, (b) incident angle of 20°; dashed curve, s polarization; solid curve, p polarization.

Fig. 5
Fig. 5

Computer simulation of thickness errors of 0.005% for (a) filter 2 and (b) filter 3.

Tables (1)

Tables Icon

Table 1 Central Wavelengths and Bandwidths of Two Typical Filters at an Incident Angle of 20°

Equations (7)

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N=nLm-m-1nL/nHm-mnL/nH+nL/nH21/2for a low-index spacer, N=nHm-m-1nL/nHm-1-m-1nL/nH+nH/nL1/2for a high-index spacer,
2πNd cos θ/λ=mπ,
G/HL8H 10L HLH8L3/A filter 1,
G/HL8 10HLH8L3/A filter 2,
G/HL8 H 2H2L2H HLH8L3/A  filter 3,
G/HL8 2L3H2L3H2LLH8L3/A.
G/HL8 H10MHLH8L3/A filter 4,

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