Abstract

A review of the history of the theory of the reflection of light from a pile of plates is given. The presence of incorrect formulae in some current text and reference books is noted. The formulae for a pile of absorbing plates are derived by a method different from that used by Stokes, giving the results in a form different from his. The equivalence of the two forms is proven. An upper bound to the error caused by assuming an infinite instead of a finite number of multiple reflections is derived in the Appendix.

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  1. P. Drude, Lehrbuch der Optik (Leipzig, 1912), third edition, pp. 271–272.
  2. R. W. Wood, Physical Optics (New York, 1934), third edition, pp. 340–343.
  3. A. J. Fresnel, Oevres Complètes (Paris, 1866), Vol. 10, pp. 640–648.
  4. R. Clausius, "Ueber die Intensität des durch die Atmosphäre reflecterte Sonnellichts," Crelle's J. 36, 185–215 (1848).
  5. F. de la Provostaye et P. Desains, "Memoire sur la Polarisation de la Chaleur par Refraction simple," Ann. de Chim. et Phys. [3] 30, 158–178 (1850).
  6. H. Wild, "Ueber ein neues Photometer und Polarimeter nebst einigen darnit angestellten Beobachtungen," Pogg. Ann. 99, 235–274 (1856).
  7. C. Bohn, "Zur Polarization des Lichtes durch einfache Brechung," Pogg. Ann. 117, pp. 117–131 (1862).
  8. F. E. Neumann, Vorlesungen über Theoretische Optik (Leipzig, 1885), pp. 141–151.
  9. G. G. Stokes, "On the intensity of the light reflected from and transmitted through a pile of plates," Phil. Mag. [4] 24, 480–489 (1862); Proc. Roy. Soc. London 11, 545–556 (1862).
  10. Wüllner, Experimental Physik (Leipzig, 1899), fifth edition, Vol. 4, p. 727.
  11. Winkelmann, Handbuch der Physik (Leipzig, 1906), Vol. 6, p. 1252.
  12. R. W. Wood, "On the emission of polarized light by fluorescent gases," Phil. Mag. 16, 184–189 (1908).
  13. L. Dunoyer, "Sur la fluorescence des vapeurs des metaux alkalins," le Radium 9, No. 6, 209–218 (1912).
  14. E. Gaviola and Peter Pringsheim, "Über den Einfluss der Konzentration auf die Polarisation von Farbstoff Lösungen," Zeits. f. Physik. 24, 24–36 (1924).
  15. Schuster, Theory of Optics (New York, 1924), third edition, pp. 51, 52.
  16. Wien-Harms, Handbuch der Experimental Physik (Leipzig, 1928), Vol. 18, p. 141.
  17. O. D. Chwolson, Lehrbuch der Physik (Braunschweig, 1922), Vol. 2, part 2, pp. 717–718.
  18. Geiger und Scheel, Handbuch der Physik (Berlin, 1928), Vol. 19, p. 971.

Bohn, C.

C. Bohn, "Zur Polarization des Lichtes durch einfache Brechung," Pogg. Ann. 117, pp. 117–131 (1862).

Chwolson, O. D.

O. D. Chwolson, Lehrbuch der Physik (Braunschweig, 1922), Vol. 2, part 2, pp. 717–718.

Clausius, R.

R. Clausius, "Ueber die Intensität des durch die Atmosphäre reflecterte Sonnellichts," Crelle's J. 36, 185–215 (1848).

de la Provostaye, F.

F. de la Provostaye et P. Desains, "Memoire sur la Polarisation de la Chaleur par Refraction simple," Ann. de Chim. et Phys. [3] 30, 158–178 (1850).

Desains, P.

F. de la Provostaye et P. Desains, "Memoire sur la Polarisation de la Chaleur par Refraction simple," Ann. de Chim. et Phys. [3] 30, 158–178 (1850).

Drude, P.

P. Drude, Lehrbuch der Optik (Leipzig, 1912), third edition, pp. 271–272.

Dunoyer, L.

L. Dunoyer, "Sur la fluorescence des vapeurs des metaux alkalins," le Radium 9, No. 6, 209–218 (1912).

Fresnel, A. J.

A. J. Fresnel, Oevres Complètes (Paris, 1866), Vol. 10, pp. 640–648.

Gaviola, E.

E. Gaviola and Peter Pringsheim, "Über den Einfluss der Konzentration auf die Polarisation von Farbstoff Lösungen," Zeits. f. Physik. 24, 24–36 (1924).

Neumann, F. E.

F. E. Neumann, Vorlesungen über Theoretische Optik (Leipzig, 1885), pp. 141–151.

Pringsheim, Peter

E. Gaviola and Peter Pringsheim, "Über den Einfluss der Konzentration auf die Polarisation von Farbstoff Lösungen," Zeits. f. Physik. 24, 24–36 (1924).

Stokes, G. G.

G. G. Stokes, "On the intensity of the light reflected from and transmitted through a pile of plates," Phil. Mag. [4] 24, 480–489 (1862); Proc. Roy. Soc. London 11, 545–556 (1862).

Wild, H.

H. Wild, "Ueber ein neues Photometer und Polarimeter nebst einigen darnit angestellten Beobachtungen," Pogg. Ann. 99, 235–274 (1856).

Wood, R. W.

R. W. Wood, "On the emission of polarized light by fluorescent gases," Phil. Mag. 16, 184–189 (1908).

R. W. Wood, Physical Optics (New York, 1934), third edition, pp. 340–343.

Other (18)

P. Drude, Lehrbuch der Optik (Leipzig, 1912), third edition, pp. 271–272.

R. W. Wood, Physical Optics (New York, 1934), third edition, pp. 340–343.

A. J. Fresnel, Oevres Complètes (Paris, 1866), Vol. 10, pp. 640–648.

R. Clausius, "Ueber die Intensität des durch die Atmosphäre reflecterte Sonnellichts," Crelle's J. 36, 185–215 (1848).

F. de la Provostaye et P. Desains, "Memoire sur la Polarisation de la Chaleur par Refraction simple," Ann. de Chim. et Phys. [3] 30, 158–178 (1850).

H. Wild, "Ueber ein neues Photometer und Polarimeter nebst einigen darnit angestellten Beobachtungen," Pogg. Ann. 99, 235–274 (1856).

C. Bohn, "Zur Polarization des Lichtes durch einfache Brechung," Pogg. Ann. 117, pp. 117–131 (1862).

F. E. Neumann, Vorlesungen über Theoretische Optik (Leipzig, 1885), pp. 141–151.

G. G. Stokes, "On the intensity of the light reflected from and transmitted through a pile of plates," Phil. Mag. [4] 24, 480–489 (1862); Proc. Roy. Soc. London 11, 545–556 (1862).

Wüllner, Experimental Physik (Leipzig, 1899), fifth edition, Vol. 4, p. 727.

Winkelmann, Handbuch der Physik (Leipzig, 1906), Vol. 6, p. 1252.

R. W. Wood, "On the emission of polarized light by fluorescent gases," Phil. Mag. 16, 184–189 (1908).

L. Dunoyer, "Sur la fluorescence des vapeurs des metaux alkalins," le Radium 9, No. 6, 209–218 (1912).

E. Gaviola and Peter Pringsheim, "Über den Einfluss der Konzentration auf die Polarisation von Farbstoff Lösungen," Zeits. f. Physik. 24, 24–36 (1924).

Schuster, Theory of Optics (New York, 1924), third edition, pp. 51, 52.

Wien-Harms, Handbuch der Experimental Physik (Leipzig, 1928), Vol. 18, p. 141.

O. D. Chwolson, Lehrbuch der Physik (Braunschweig, 1922), Vol. 2, part 2, pp. 717–718.

Geiger und Scheel, Handbuch der Physik (Berlin, 1928), Vol. 19, p. 971.

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