Open AccessTheory of the reflection of light near the polarising angle
Publication year - 1905
Publication title -
proceedings of the royal society of london. series a, containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1905.0004
Subject(s) - curl (programming language) , isotropy , physics , refractive index , boundary (topology) , displacement (psychology) , reflection (computer programming) , mathematical physics , mathematical analysis , classical mechanics , optics , mathematics , computer science , programming language , psychology , psychotherapist
Supposing the phenomena of light to be due to displacements in a rotational ether, we have the following expressions for the kinetic energy and work function in a transparent isotropic medium:- T= ½ ∫ ρ (ξ2 + η2 + ζ2 )d V, W = ½c 2 ∫ ρμ2 (f 2 +g 2 +h 2 )d V. Hered V denotes an element of volume,ρ is the density, ξηζ the displacement, (fgh ) = 1/ μ2 curl (ξηζ ),c a constant that will prove to be the velocity of light in free ether, whereas μ will be identified with the refractive index. The dynamical equations and boundary conditions are most simply obtained from the Principle of Action, which makes δ ∫ (T - W)dt = 0.