Abstract

Polyethylene transmission-filter gratings having 3 lines/mm were investigated in the far infrared. Their transmission was studied as a function of the orientation and the shape of the grooves. The intensity distribution of the light transmitted in zero order is discussed in terms of the scalar theory in the spectral region where the wavelength is small compared to the grating constant of the filter. The efficiency of transmission-and reflection-filter gratings is compared.

© 1965 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. K. D. Möller and R. V. McKnight, J. Opt. Soc. Am. 53, 760 (1963).
    [Crossref]
  2. P. L. Richards, J. Opt. Soc. Am. 54, 1474 (1964).
    [Crossref]
  3. W. G. Rothschild, J. Opt. Soc. Am. 54, 20 (1964).
    [Crossref]
  4. C. C. Helms, H. W. Jones, A. J. Russo, and E. H. Siegler, Spectrochim. Acta 19. 819 (1963).
    [Crossref]
  5. E. E. Bell, “Proceedings Far Infrared Physics Symposium,” Riverside, California, (1964), p. 1.
  6. A. Sommerfeld, Vorlesungen über Theoretische Physik (Dieterich, Wiesbaden, 1950), Vol. IV, 1st ed.,pp. 233–235.
  7. J. E. Stewart and W. S. Gallaway, Appl. Optics 1, 421 (1962).
    [Crossref]
  8. C. H. Palmer, J. Opt. Soc. Am. 53, 1005 (1963).
    [Crossref]
  9. A. Mitsuishi, Y. Otsuka, S. Fujita, and H. Yoshinaga, Japan J. Appl. Phys. 2, 574 (1963).
    [Crossref]
  10. A. Hadni, E. Decamps, D. Grandjean, and C. Janot, Compt. Rend. 250, 2007 (1960).
  11. L. Genzel, H. Happ, and R. Weber, Z. Physik 154, 1 (1959).
    [Crossref]
  12. H. Yoshinaga, S. Fujita, S. Minami, A. Mitsuishi, R. A. Oetjen, and Y. Yamada, J. Opt. Soc. Am. 48, 315 (1958).
    [Crossref]
  13. A. Hadni, Spectrochim. Acta 19, 793 (1963).
    [Crossref]

1964 (2)

1963 (5)

C. C. Helms, H. W. Jones, A. J. Russo, and E. H. Siegler, Spectrochim. Acta 19. 819 (1963).
[Crossref]

C. H. Palmer, J. Opt. Soc. Am. 53, 1005 (1963).
[Crossref]

A. Mitsuishi, Y. Otsuka, S. Fujita, and H. Yoshinaga, Japan J. Appl. Phys. 2, 574 (1963).
[Crossref]

K. D. Möller and R. V. McKnight, J. Opt. Soc. Am. 53, 760 (1963).
[Crossref]

A. Hadni, Spectrochim. Acta 19, 793 (1963).
[Crossref]

1962 (1)

J. E. Stewart and W. S. Gallaway, Appl. Optics 1, 421 (1962).
[Crossref]

1960 (1)

A. Hadni, E. Decamps, D. Grandjean, and C. Janot, Compt. Rend. 250, 2007 (1960).

1959 (1)

L. Genzel, H. Happ, and R. Weber, Z. Physik 154, 1 (1959).
[Crossref]

1958 (1)

Bell, E. E.

E. E. Bell, “Proceedings Far Infrared Physics Symposium,” Riverside, California, (1964), p. 1.

Decamps, E.

A. Hadni, E. Decamps, D. Grandjean, and C. Janot, Compt. Rend. 250, 2007 (1960).

Fujita, S.

A. Mitsuishi, Y. Otsuka, S. Fujita, and H. Yoshinaga, Japan J. Appl. Phys. 2, 574 (1963).
[Crossref]

H. Yoshinaga, S. Fujita, S. Minami, A. Mitsuishi, R. A. Oetjen, and Y. Yamada, J. Opt. Soc. Am. 48, 315 (1958).
[Crossref]

Gallaway, W. S.

J. E. Stewart and W. S. Gallaway, Appl. Optics 1, 421 (1962).
[Crossref]

Genzel, L.

L. Genzel, H. Happ, and R. Weber, Z. Physik 154, 1 (1959).
[Crossref]

Grandjean, D.

A. Hadni, E. Decamps, D. Grandjean, and C. Janot, Compt. Rend. 250, 2007 (1960).

Hadni, A.

A. Hadni, Spectrochim. Acta 19, 793 (1963).
[Crossref]

A. Hadni, E. Decamps, D. Grandjean, and C. Janot, Compt. Rend. 250, 2007 (1960).

Happ, H.

L. Genzel, H. Happ, and R. Weber, Z. Physik 154, 1 (1959).
[Crossref]

Helms, C. C.

C. C. Helms, H. W. Jones, A. J. Russo, and E. H. Siegler, Spectrochim. Acta 19. 819 (1963).
[Crossref]

Janot, C.

A. Hadni, E. Decamps, D. Grandjean, and C. Janot, Compt. Rend. 250, 2007 (1960).

Jones, H. W.

C. C. Helms, H. W. Jones, A. J. Russo, and E. H. Siegler, Spectrochim. Acta 19. 819 (1963).
[Crossref]

McKnight, R. V.

Minami, S.

Mitsuishi, A.

A. Mitsuishi, Y. Otsuka, S. Fujita, and H. Yoshinaga, Japan J. Appl. Phys. 2, 574 (1963).
[Crossref]

H. Yoshinaga, S. Fujita, S. Minami, A. Mitsuishi, R. A. Oetjen, and Y. Yamada, J. Opt. Soc. Am. 48, 315 (1958).
[Crossref]

Möller, K. D.

Oetjen, R. A.

Otsuka, Y.

A. Mitsuishi, Y. Otsuka, S. Fujita, and H. Yoshinaga, Japan J. Appl. Phys. 2, 574 (1963).
[Crossref]

Palmer, C. H.

Richards, P. L.

Rothschild, W. G.

Russo, A. J.

C. C. Helms, H. W. Jones, A. J. Russo, and E. H. Siegler, Spectrochim. Acta 19. 819 (1963).
[Crossref]

Siegler, E. H.

C. C. Helms, H. W. Jones, A. J. Russo, and E. H. Siegler, Spectrochim. Acta 19. 819 (1963).
[Crossref]

Sommerfeld, A.

A. Sommerfeld, Vorlesungen über Theoretische Physik (Dieterich, Wiesbaden, 1950), Vol. IV, 1st ed.,pp. 233–235.

Stewart, J. E.

J. E. Stewart and W. S. Gallaway, Appl. Optics 1, 421 (1962).
[Crossref]

Weber, R.

L. Genzel, H. Happ, and R. Weber, Z. Physik 154, 1 (1959).
[Crossref]

Yamada, Y.

Yoshinaga, H.

A. Mitsuishi, Y. Otsuka, S. Fujita, and H. Yoshinaga, Japan J. Appl. Phys. 2, 574 (1963).
[Crossref]

H. Yoshinaga, S. Fujita, S. Minami, A. Mitsuishi, R. A. Oetjen, and Y. Yamada, J. Opt. Soc. Am. 48, 315 (1958).
[Crossref]

Appl. Optics (1)

J. E. Stewart and W. S. Gallaway, Appl. Optics 1, 421 (1962).
[Crossref]

Compt. Rend. (1)

A. Hadni, E. Decamps, D. Grandjean, and C. Janot, Compt. Rend. 250, 2007 (1960).

J. Opt. Soc. Am. (5)

Japan J. Appl. Phys. (1)

A. Mitsuishi, Y. Otsuka, S. Fujita, and H. Yoshinaga, Japan J. Appl. Phys. 2, 574 (1963).
[Crossref]

Spectrochim. Acta (2)

C. C. Helms, H. W. Jones, A. J. Russo, and E. H. Siegler, Spectrochim. Acta 19. 819 (1963).
[Crossref]

A. Hadni, Spectrochim. Acta 19, 793 (1963).
[Crossref]

Z. Physik (1)

L. Genzel, H. Happ, and R. Weber, Z. Physik 154, 1 (1959).
[Crossref]

Other (2)

E. E. Bell, “Proceedings Far Infrared Physics Symposium,” Riverside, California, (1964), p. 1.

A. Sommerfeld, Vorlesungen über Theoretische Physik (Dieterich, Wiesbaden, 1950), Vol. IV, 1st ed.,pp. 233–235.

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)

F. 1
F. 1

Positions of the polyethylene transmission-filter grating x, y, z with respect to the directions of the incident beam X and of the grooves of the dispersion grating Z (X = X for all cases). The primed positions (shown only for α) are the mirror images of the unprimed positions with respect to the YZ plane.

F. 2
F. 2

Transmittance as a function of wavenumber for all possible orientations of filter gratings having asymmetrical groove shape with ξ = 25° and 3 lines/mm. Positions: ▲α, ○β, △γ, ●δ.

F. 3
F. 3

Transmittance as function of wavenumber for filters with various asymmetric groove shapes with ξ = 15°●, 20°○, 25°▲, 30° △. Light is incident on the grooved side, lines vertical in position α, 3 lines/mm.

F. 4
F. 4

Transmittance as a function of wavenumber for filter gratings in different orientations with symmetrical grooves of ξ = 45° and 3 lines/mm. Light incident on flat side, lines vertical α′ ● ●, horizontal β′○ ○. Light incident on rough side, lines vertical α+ +.

F. 5
F. 5

Transmittance as a function of wavenumber for filters with various symmetrical grooves ξ = 15°, 30°, 45°, and 60° and 3 lines/mm. Position α.

F. 6
F. 6

Coordinate system: ϕ, ϕ1, ϕ0 as depicted, ξ = step angle, d = groove spacing, d′ = width of a facet.

F. 7
F. 7

Comparison of the efficiency of reflection-and transmission-filter gratings. R and R2 constitute the reflectance curves of a single and two reflection-filter gratings, respectively, and T the transmittance of one transmission-filter grating.

Equations (3)

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

ϑ p = i K B 4 π ( sin ϕ 1 + sin ϕ ) d × sin [ K ( n cos ϕ 0 cos ϕ ) ( d / 2 ) ] [ K ( n cos ϕ 0 cos ϕ ) ( d / 2 ) ] ,
I a = [ B 2 π ] 2 [ cos ξ + ( 1 n 2 sin 2 ξ ) 1 2 ( n 1 ) sin ξ ] 2 × { sin [ π d λ ( n 1 ) sin 2 ξ 2 ] } 2 .
I b = f ( n , ξ ) sin 2 [ g ( n , λ , ξ ) ] ,