Abstract

After a brief review of the nature of the calculus, a formulation is provided for the application of the calculus to a wider class of optical systems than those postulated in the earlier papers of this series. The application is found, however, to be subject to the drastic limitation that the system must not depolarize the light passing through it. Since homogeneous crystalline plates are almost completely free of depolarization, this limitation does not exist in the previously contemplated application to piles of crystalline plates. A more powerful calculus, whose formulation is due to Soleillet and whose development is due to Perrin and Mueller, is described, and is found to be free of this limitation. Its general properties are compared with those of the calculus discussed in this series of papers.

© 1947 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. I. R. Clark Jones, J. Opt. Soc. Am. 31, 488–493 (1941).
    [CrossRef]
  2. II. Henry Hurwitz and R. Clark Jones, J. Opt. Soc. Am. 31, 493–499 (1941).
    [CrossRef]
  3. III. R. Clark Jones, J. Opt. Soc. Am. 31, 500–503 (1941).
    [CrossRef]
  4. IV. R. Clark Jones, J. Opt. Soc. Am. 32, 486–493 (1942).
    [CrossRef]
  5. G. G. Stokes, Trans. Camb. Phil. Soc. 9399 (1852).
  6. Paul Soleillet, Ann. de physique 12, 23–97 (1929).See also Francis Perrin, J. Chem. Phys. 10, 415–427 (1942).
    [CrossRef]
  7. The Mueller matrices are used in a declassified report by Hans Mueller, “Memorandumon the polarization optics of the photo-elastic shutter,” , project OEMsr-576, November15, 1943.

1942 (1)

1941 (3)

1929 (1)

Paul Soleillet, Ann. de physique 12, 23–97 (1929).See also Francis Perrin, J. Chem. Phys. 10, 415–427 (1942).
[CrossRef]

1852 (1)

G. G. Stokes, Trans. Camb. Phil. Soc. 9399 (1852).

Clark Jones, R.

Hurwitz, Henry

Jones, R. Clark

Mueller, Hans

The Mueller matrices are used in a declassified report by Hans Mueller, “Memorandumon the polarization optics of the photo-elastic shutter,” , project OEMsr-576, November15, 1943.

Soleillet, Paul

Paul Soleillet, Ann. de physique 12, 23–97 (1929).See also Francis Perrin, J. Chem. Phys. 10, 415–427 (1942).
[CrossRef]

Stokes, G. G.

G. G. Stokes, Trans. Camb. Phil. Soc. 9399 (1852).

Ann. de physique (1)

Paul Soleillet, Ann. de physique 12, 23–97 (1929).See also Francis Perrin, J. Chem. Phys. 10, 415–427 (1942).
[CrossRef]

J. Opt. Soc. Am. (4)

Trans. Camb. Phil. Soc. (1)

G. G. Stokes, Trans. Camb. Phil. Soc. 9399 (1852).

Other (1)

The Mueller matrices are used in a declassified report by Hans Mueller, “Memorandumon the polarization optics of the photo-elastic shutter,” , project OEMsr-576, November15, 1943.

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 (1)

F. 1
F. 1

Showing the box which represents the more general formulation of the calculus contained in this paper. The beam of light A is entering the box, and the beams B, C, and D are emerging from the box. This figure also shows the coordinate systems for the entering and emerging beams described in the text.

Equations (6)

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

E x = m 1 E x + m 4 E y , E y = m 3 E x + m 2 E y ,
Ɛ ( E x E y ) ; M ( m 1 m 4 m 3 m 2 ) ,
Ɛ = M Ɛ .
I A x 2 + A y 2 + A 2 , M A x 2 A y 2 , C 2 A x A y cos ϕ , S 2 A x A y sin ϕ ,
S ( I M C S ) .
S = M S ,