Abstract

Justification of the use of scalar theory in optics is discussed. Although it is difficult to relate the scalar quantity <i>V</i> (<i>t</i>) commonly used in the scalar theory with the components of the electric field vector <b>E</b> (<i>t</i>), we show that there exists a simple relationship between the corresponding quantities quadratic in the field variables. Thus a scalar theory based on this identification can be used to obtain correct answers for the measurement of irradiance when the description of polarization is not of primary interest.

PDF Article

References

  • View by:
  • |
  • |

  1. W. Braunbek, Z. Naturforsch. 6a, 12 (1951).
  2. J. Picht, Optische Abbildung (Vieweg, Braunschweig, 1931).
  3. O. Theimer, G. D. Wassermann, and E. Wolf, Proc. Roy. Soc. (London) A212, 426 (1952).
  4. H. S. Green and E. Wolf, Proc. Phys. Soc. (London) A66, 1129 (1953).
  5. R. K. Luneberg, New York University Mathematics Research Group Report No. EM-14 (1949).
  6. N. Wiener, Acta Math. 55, 118 (1930).
  7. E. Wolf, Nuovo Cimento 12, 884 (1954).
  8. G. B. Parrent, Jr. and P. Roman, Nuovo Cimento 15, 370 (1960).
  9. E. L. O'Neill, Introduction to Statistical Optics (Addison-Wesley Publ. Co., Reading, Mass., 1963).
  10. M. J. Beran and G. B. Parrent, Jr., Theory of Partial Coherence (Prentice-Hall, Inc., Englewood Cliffs, N. J., 1964).
  11. C. L. Mehta, E. Wolf, and A. P. Balachandran, J. Math. Phys. 7, 133 (1966).

Balachandran, A. P.

C. L. Mehta, E. Wolf, and A. P. Balachandran, J. Math. Phys. 7, 133 (1966).

Beran, M. J.

M. J. Beran and G. B. Parrent, Jr., Theory of Partial Coherence (Prentice-Hall, Inc., Englewood Cliffs, N. J., 1964).

Braunbek, W.

W. Braunbek, Z. Naturforsch. 6a, 12 (1951).

Green, H. S.

H. S. Green and E. Wolf, Proc. Phys. Soc. (London) A66, 1129 (1953).

Luneberg, R. K.

R. K. Luneberg, New York University Mathematics Research Group Report No. EM-14 (1949).

Mehta, C. L.

C. L. Mehta, E. Wolf, and A. P. Balachandran, J. Math. Phys. 7, 133 (1966).

O’Neill, E. L.

E. L. O'Neill, Introduction to Statistical Optics (Addison-Wesley Publ. Co., Reading, Mass., 1963).

Parrent, Jr., G. B.

M. J. Beran and G. B. Parrent, Jr., Theory of Partial Coherence (Prentice-Hall, Inc., Englewood Cliffs, N. J., 1964).

G. B. Parrent, Jr. and P. Roman, Nuovo Cimento 15, 370 (1960).

Picht, J.

J. Picht, Optische Abbildung (Vieweg, Braunschweig, 1931).

Roman, P.

G. B. Parrent, Jr. and P. Roman, Nuovo Cimento 15, 370 (1960).

Theimer, O.

O. Theimer, G. D. Wassermann, and E. Wolf, Proc. Roy. Soc. (London) A212, 426 (1952).

Wassermann, G. D.

O. Theimer, G. D. Wassermann, and E. Wolf, Proc. Roy. Soc. (London) A212, 426 (1952).

Wiener, N.

N. Wiener, Acta Math. 55, 118 (1930).

Wolf, E.

E. Wolf, Nuovo Cimento 12, 884 (1954).

H. S. Green and E. Wolf, Proc. Phys. Soc. (London) A66, 1129 (1953).

O. Theimer, G. D. Wassermann, and E. Wolf, Proc. Roy. Soc. (London) A212, 426 (1952).

C. L. Mehta, E. Wolf, and A. P. Balachandran, J. Math. Phys. 7, 133 (1966).

Other (11)

W. Braunbek, Z. Naturforsch. 6a, 12 (1951).

J. Picht, Optische Abbildung (Vieweg, Braunschweig, 1931).

O. Theimer, G. D. Wassermann, and E. Wolf, Proc. Roy. Soc. (London) A212, 426 (1952).

H. S. Green and E. Wolf, Proc. Phys. Soc. (London) A66, 1129 (1953).

R. K. Luneberg, New York University Mathematics Research Group Report No. EM-14 (1949).

N. Wiener, Acta Math. 55, 118 (1930).

E. Wolf, Nuovo Cimento 12, 884 (1954).

G. B. Parrent, Jr. and P. Roman, Nuovo Cimento 15, 370 (1960).

E. L. O'Neill, Introduction to Statistical Optics (Addison-Wesley Publ. Co., Reading, Mass., 1963).

M. J. Beran and G. B. Parrent, Jr., Theory of Partial Coherence (Prentice-Hall, Inc., Englewood Cliffs, N. J., 1964).

C. L. Mehta, E. Wolf, and A. P. Balachandran, J. Math. Phys. 7, 133 (1966).

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.