Abstract

The frustrated-total-internal-reflection thin-film color filtering device operating in a visible spectral range is designed. Such a device splits an incident light beam into spatially separated red, green, and blue color beams. Spectral shape and angular spread of transmitted light for s and p polarizations are calculated at different values of refractive indices and thicknesses of layers.

© 2007 Optical Society of America

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References

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2006 (1)

2004 (1)

2003 (1)

2000 (1)

1993 (1)

1978 (1)

1970 (1)

R. Ulrich, J. Opt. Soc. Am. A 60, 1337 (1970).
[CrossRef]

1967 (1)

1966 (1)

1962 (1)

L. V. Iogansen, Opt. Spektrosk. 13, 266 (1962) L. V. Iogansen,[Opt. Spectrosc. (USSR) 13, 146 (1962)].

1961 (1)

L. V. Iogansen, Zh. Eksp. Teor. Fiz. 40, 1838 (1961) L. V. Iogansen,[Sov. Phys. JETP 13, 1291 (1961)].

1947 (1)

P. Leurgens and A. F. Turner, J. Opt. Soc. Am. A 37, 983 (1947).

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Figures (4)

Fig. 1
Fig. 1

Color separator. R, red band; G, green band; B, blue band; L, device length.

Fig. 2
Fig. 2

Spectral shapes of transmitted light: n 1 = 1.38 , n 2 = 2.00 , n p = 1.85 , d 2 = 90 nm , d 1 = 300 nm .

Fig. 3
Fig. 3

Angular bandwidths of transmitted light at d 1 = 300 nm . R, red band; G, green band; B, blue band.

Fig. 4
Fig. 4

Dependence of resonance wavelength on incident angle of s-polarized (solid curves) and p-polarized (dashed curves) beams for different values of (a) central layer thickness and (b) its refractive index. (a) 1, d 2 = 90 nm ; 2, d 2 = 100 nm ; 3, d 2 = 110 nm . (b) 1, n 2 = 2.00 ; 2, n 2 = 2.01 ; 3, n 2 = 2.02 . d 1 = 300 nm .

Equations (7)

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f ( ζ ) = 1 1 + l 0 2 ( ζ + 1 l p ) 2 ,
ζ = k z ( Δ φ ) ω k z ( Δ ω ) φ d φ d ω ,
d φ d ω = ( k z 2 k x k z ) ( d 2 d 2 e f f ) ( 1 ω ) ,
k z = ( ω c ) n 2 2 n p 2 sin 2 φ ,
l 0 s = 1 2 k x k z Q 1 s Q 2 s exp ( 2 q z d 1 ) d 2 eff ,
k z d 2 = arctan [ k z ( q z + q z ) q z q z k z 2 ] Q 3
Q 3 = 2 q z k z ( q z 2 k z 2 ) exp ( 2 q z d 1 ) [ ( q z 2 + k z 2 ) ( q z 2 + k z 2 ) ] .

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