Hostname: page-component-77c89778f8-5wvtr Total loading time: 0 Render date: 2024-07-16T23:00:54.897Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Penetration of Waves and their Rays into a Medium of Gradually Varying Properties

Published online by Cambridge University Press:  24 October 2008

J. A. Wilcken
J. A. Wilcken
Affiliation:
(Copenhagen), Ph.D. (La Plata); late of Christ's College.
Get access Rights & Permissions [Opens in a new window]

Extract

The question has frequently been raised, whether the laws of ordinary Geometrical Optics, especially with regard to the reflexion and refraction at the confines of two media, are equally applicable when the transition is accomplished in a gradual manner. The problem has an important bearing on physical phenomena of a widely varying character, such as the propagation of sound and light in the atmosphere, with occurrence of mirage or zones of silence, the transmission of seismic disturbances through the earth, tidal waves in a canal of varying cross-section, and others.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 22 , Issue 2 , May 1924 , pp. 124 - 131
Copyright
Copyright © Cambridge Philosophical Society 1924

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Rayleigh, , Proc. Lond. Math. Soc. 11. pp. 51–6, 1880.Google Scholar
(2)Rayleigh, , Proc. R. Soc. A 86. pp. 207–26, 1912Google Scholar
(cf. also Nicholson, , Proc. R. Soc A 81. pp. 286–99, 1908).Google Scholar
(3)Boedke, , Ann. d. Pkysik, 24. pp. 357–67, 1907CrossRefGoogle Scholar
(cf. also Schlick, , Berlin Dissertation, 1904).Google Scholar
(4)Gans, , Ann. d. Physik, 47. pp. 709–36, 1915.CrossRefGoogle Scholar
(5)Seeliger, , Phys. Zeitschr. 5. p. 237, 1904.Google Scholar
(6)Schmidt, , Phys. Zeitschr. 4. pp. 282, 341, 453, 476, 1903; 5. p. 67, 1904.Google Scholar
(7)Emden, , Sitz. Ber. d. Bayr. Akad. p. 417, 1919.Google Scholar
(8)Wallot, , Ann. d. Physik, 60. pp. 734–62, 1919.CrossRefGoogle Scholar
(9)Watson, , Proc. R. Soc. A 95. pp. 83, 546, 1918–1919.Google Scholar
(10)Maclaurin, , Theory of Light, pp. 63 ff., Cambridge, 1908.Google Scholar
(11)Uller, , Phys. Zeitschr. 17. pp. 369–73, 1916; 18. pp. 35–41, 1917.Google Scholar
(12)Boussinesq, , C.R. 129. pp. 794, 859, 905, 1899.Google Scholar
(13)Stokes, , Trans. Camb. Phil. Soc. 8. p. 707, 1849.Google Scholar
(14)Stokes, , Trans. Camb. Phil. Soc. 9. 1850.Google Scholar
Brillouin, , C.R. 157. pp. 265–70, 1913 (Sound-waves in the atmosphere).Google Scholar
Kommerell, , Phys. Zeitschr. 17. pp. 172–5, 1916.Google Scholar
Schködinger, Phys. Zeitschr. 18. pp. 445–53, 1917.Google Scholar
Milne, , Phil. Mag. 42. pp. 96–114, 1921.CrossRefGoogle Scholar
Knott, , Phil. Mag pp. 64–97, 1899;CrossRefGoogle Scholar
Knott, , Proc. R.S.E. 28. pp. 217–30, 1908;CrossRefGoogle Scholar
Knott, , Proc. R.S.E. 30. pp. 23–37, 1909 (Seismic Waves).CrossRefGoogle Scholar
Försteriing, , Phys. Zeitschr. 14. pp. 265–70, 1913 (Light-waves in a thin layer of rapid variation).Google Scholar