Abstract

The efficiency ηLC of linear-to-circular polarization conversion when light is reflected at a dielectric–conductor interface is determined as a function of the principal angle ϕ¯ and principal azimuth ψ¯. Constant-ηLC contours are presented in the ϕ¯, ψ¯ plane for values of ηLC from 0.5 to 1.0 in steps of 0.05, and the corresponding contours in the complex plane of the relative dielectric function ϵ are also determined. As specific examples, efficiencies 88% are obtained for light reflection by a Ag mirror in the visible and near-IR (4001200nm) spectral range, and 40% for the reflection of extreme ultraviolet (EUV) and soft x-ray radiation by a SiC mirror in the 60120nm wavelength range.

© 2008 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |

  1. M. Born and E. Wolf, Principles of Optics (Cambridge, 1999).
  2. H. B. Holl, “Specular reflection and characteristics of reflected light,” J. Opt. Soc. Am. 57, 683-690 (1967).
    [CrossRef]
  3. R. M. A. Azzam, “Contours of constant principal angle and constant principal azimuth in the complex ϵ plane,” J. Opt. Soc. Am. 71, 1523-1528 (1981).
    [CrossRef]
  4. H. M. O'Bryan, “The optical constants of several metals in vacuum,” J. Opt. Soc. Am. 26, 122-127 (1936).
    [CrossRef]
  5. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, 1987).
  6. E.D.Palik, ed., Handbook of Optical Constants of Solids (Academic, 1985).
  7. D. L. Windt, W. C. Cash, Jr., M. Scott, P. Arendt, B. Newman, R. F. Fisher, A. B. Swartzlander, P. Z. Takacs, and J. M. Pinneo, “Optical constants for thin films of C, diamond, Al, Si, and CVD SiC from 24Å to 1216Å,” Appl. Opt. 27, 279-295 (1988).
    [CrossRef] [PubMed]

1988 (1)

1981 (1)

1967 (1)

1936 (1)

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (7)

Fig. 1
Fig. 1

Incident linerarly polarized light (LPL) is reflected circularly polarized (CPL) at the principal angle ϕ ¯ of a dielectric–conductor interface: ψ ¯ is the principal azimuth, and p and s represent the orthogonal linear polarization directions parallel and perpendicular to the plane of incidence, respectively.

Fig. 2
Fig. 2

Efficiency η L C of linear-to-circular polarization conversion as a function of principal angle ϕ ¯ for constant values of the principal azimuth ψ ¯ = 15 ° , 30 ° , and 38.5 ° to 45 ° in steps of 0.5 ° .

Fig. 3
Fig. 3

Constant- η L C contours in the ( ϕ ¯ , ψ ¯ ) plane for η L C = 0.5 to 1.0 in steps of 0.05.

Fig. 4
Fig. 4

(a) Family of constant- η L C contours, for η L C = 0.5 to 1.0 in steps of 0.05, in the domain of fractional optical constants of the complex ϵ plane. (b) Continuation of the contours in (a) for large values of ( ϵ r , ϵ i ) .

Fig. 5
Fig. 5

Principal angle ϕ ¯ and principal azimuth ψ ¯ for light reflection by a Ag mirror in the visible and near-IR spectral range, 400 λ 1200 nm . The optical constants of Ag are obtained from [6].

Fig. 6
Fig. 6

Linear-to-circular polarization conversion efficiency η L C (dashed curve) and principal azimuth ψ ¯ (expanded scale) as functions of wavelength λ for light reflection by a Ag mirror in the visible and near-IR spectral range, 400 λ 1200 nm . The optical constants of Ag are obtained from [6].

Fig. 7
Fig. 7

Principal angle ϕ ¯ , principal azimuth ψ ¯ , and linear-to-circular polarization conversion efficiency η L C (dashed curve) as functions of wavelength λ for the reflection of EUV and soft x-ray radiation by a SiC mirror in the 40 λ 120 nm spectral range. The optical constants of SiC are those published in [7].

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

ϵ = ϵ 1 ϵ 0 = ϵ r j ϵ i ,
ϵ r = sin 2 ϕ ¯ + sin 2 ϕ ¯ tan 2 ϕ ¯ cos ( 4 ψ ¯ ) ,
ϵ i = sin 2 ϕ ¯ tan 2 ϕ ¯ sin ( 4 ψ ¯ ) .
r p = ( j tan ψ ¯ ) r s .
r s = [ cos ϕ ( ϵ sin 2 ϕ ) 1 2 ] [ cos ϕ + ( ϵ sin 2 ϕ ) 1 2 ] .
r s = ( cos 2 ϕ ¯ + j tan ψ ¯ ) ( 1 + j cos 2 ϕ ¯ tan ψ ¯ ) .
η L C = cos 2 ψ ¯ ( r p r p * ) + sin 2 ψ ¯ ( r s r s * ) .
η L C = 2 sin 2 ψ ¯ ( r s r s * ) .
η L C = 2 sin 2 ψ ¯ [ 1 sin 2 2 ϕ ¯ cos 2 ψ ¯ 1 sin 2 2 ϕ ¯ sin 2 ψ ¯ ] .
η L C ( ψ ¯ , ϕ ¯ ) = η L C ( ψ ¯ , 90 ° ϕ ¯ ) .
η L C = 2 sin 2 ψ ¯ tan 2 ψ ¯ .
η L C = 2 sin 2 ψ ¯ .

Metrics