Abstract

Quarterwave plates can be made as holographic gratings in positive photoresist. We studied the effect of the grating period and relief depth on the phase retardation and on the rotation of the polarization of the transmitted light. Experiments were performed with gratings of different periods, which also exhibit an antireflection property.

© 1990 Optical Society of America

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References

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  1. D. C. Flanders, “Submicrometer Periodicity Gratings as Artificial Anisotropic Dielectrics,” Appl. Phys. Lett. 42, 492 (1983).
    [CrossRef]
  2. R. C. Enger, S. K. Case, “Optical Elements With Ultrahigh Spatial-Frequency Surface Corrugations,” Appl. Opt. 22, 3220–3228 (1983).
    [CrossRef] [PubMed]
  3. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, p. 707.
  4. Y. Ono, Y. Kimura, Y. Ohta, N. Nishida, “Antireflection Effect in Ultrahigh Spatial-Frequency Holographic Relief Gratings,” Appl. Opt. 26, 1142–1146 (1987).
    [CrossRef] [PubMed]
  5. J. Frejlich, L. Cescato, G. F. Mendes, “Analysis of an Active Stabilization System for a Holographic Setup,” Appl. Opt. 27, 1967–1976 (1988).
    [CrossRef] [PubMed]

1988

1987

1983

D. C. Flanders, “Submicrometer Periodicity Gratings as Artificial Anisotropic Dielectrics,” Appl. Phys. Lett. 42, 492 (1983).
[CrossRef]

R. C. Enger, S. K. Case, “Optical Elements With Ultrahigh Spatial-Frequency Surface Corrugations,” Appl. Opt. 22, 3220–3228 (1983).
[CrossRef] [PubMed]

Born, M.

M. Born, E. Wolf, Principles of Optics (Pergamon, New York, p. 707.

Case, S. K.

Cescato, L.

Enger, R. C.

Flanders, D. C.

D. C. Flanders, “Submicrometer Periodicity Gratings as Artificial Anisotropic Dielectrics,” Appl. Phys. Lett. 42, 492 (1983).
[CrossRef]

Frejlich, J.

Kimura, Y.

Mendes, G. F.

Nishida, N.

Ohta, Y.

Ono, Y.

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Pergamon, New York, p. 707.

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Figures (5)

Fig. 1
Fig. 1

Orientation of the grating and the associated crystal axis.

Fig. 2
Fig. 2

Setup for measurements of birefringence.

Fig. 3
Fig. 3

Experimental scheme to obtain circularly polarized light with two gratings; α is the angle of the incident polarization and β is the angle between the two gratings.

Fig. 4
Fig. 4

Diagram to find the angles α and β shown in Fig. 3 to obtain a quarterwave plate from two equal gratings each with a phase retardation Φ.

Fig. 5
Fig. 5

Scheme of the composite quarterwave plate.

Tables (2)

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Table I Form Birefringence of a Sinusoldai Relief Grating Recorded In Several Materials.

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Table II Experimental Measurements of the Phase Retardation Φ and the Ratio Between the Transmittances for the Two Polarizations T||/T for Gratings With Several Periods and Depths.

Equations (9)

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Δ n = n - n = [ q + ( 1 / n ) 2 ( 1 - q ) ] - 1 / 2 - [ ( q + n 2 ) ( 1 - q ) ] 1 / 2 ,
Φ = ( 2 π / λ ) Δ n t
E = [ T T exp ( i Φ ) ] exp [ i ( k z - ω t ) ]
E = [ cos α 0 0 sin α ] · [ T T exp ( i Φ ) ] exp [ i ( k z - ω t ) ] .
I α = ( T ) 2 cos 2 α + ( T ) 2 sin 2 α + 2 T T cos α sin α cos Φ .
Φ = cos - 1 ( 1 - I m / I M 1 + I m / I M )
M 1 = I - π / 4 / ( I M + I m ) , M 2 = ( I M - I m ) / ( I M + I m ) ,
{ M 1 = 1 2 - ( R R 2 + 1 ) cos Φ M 2 = cos ϑ ( R 2 - 1 R 2 + 1 ) - 4 ( R R 2 + 1 ) cos Φ sin ϑ
tan ϑ = ( 2 R R 2 - 1 ) cos Φ

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