scholarly journals The Structure ofγRays on the Basis of the Electro-Magnetic Theory of Light

1915 ◽  
Vol 6 (6) ◽  
pp. 413-418 ◽  
Author(s):  
Jakob Kunz
Keyword(s):  
Magnetic Theory ◽  
Electro Magnetic

DIMENSIONAL REDUCTION AND THE LANCZOS TENSOR

1989 ◽  
Vol 04 (28) ◽  
pp. 2739-2746 ◽  
Author(s):  
M.D. ROBERTS
Keyword(s):  
Dimensional Reduction ◽  
Weyl Tensor ◽  
Weak Field ◽  
Vacuum Field ◽  
Linear Wave ◽  
Field Equations ◽  
Weak Field Limit ◽  
Magnetic Theory ◽  
Electro Magnetic ◽  
The One

The Lanczos tensor Hαβγ is a potential for the Weyl tensor. Given the symmetries of these tensors it would be expected that the identification Hαβ5=Fαβ would give a reduction of the five dimensional vacuum field equations into equations related to the Einstein Maxwell equation, it is shown that this does not happen; furthermore it is shown that there is no dimensional reduction scheme involving the Lanczos tensor which agrees with the one devised by Kaluza and Klein in the weak field limit. The covariant derivative of the Weyl tensor can be expressed as a type of non-linear wave equation in the Lanczos tensor, the literature contains two incorrect expressions for this equation, here the correct expression is given for the first time. The expression for the Lanczos tensor in the case of weak fields is generalized. Some remarks are made on other approaches to include electro-magnetic theory into the theory of the Lanczos tensor.

scholarly journals An extension of Maxwell's electro-magnetic theory of light to include dispersion, metallic reflection, and allied phenomena

1898 ◽  
Vol 63 (389-400) ◽  
pp. 91-92
Keyword(s):  
Homogeneous Medium ◽  
Potential Difference ◽  
Electric Moment ◽  
Magnetic Theory ◽  
Electro Magnetic ◽  
Oppositely Charged ◽  
Positively Charged

A dielectric, like an electrolyte, is assumed to consist of molecules, each comprising, in the simplest case, two oppositely charged atoms at a definite distance apart. In a homogeneous medium, when not subjected to electric strain, these molecules will be arranged in such a manner that any element of volume will possess no resultant electric moment. If a definite potential difference be maintained between any two parallel planes in the medium, the positively charged atoms will move to points of lower, and the negatively charged atoms to points of higher, potential.

scholarly journals XI. On the refraction of plane polarized light at the surface of a uniaxal crystal

1882 ◽  
Vol 173 ◽  
pp. 595-620 ◽  
Keyword(s):  
Electromotive Force ◽  
Magnetic Force ◽  
Electric Displacement ◽  
Polarized Light ◽  
The Other ◽  
Magnetic Disturbance ◽  
Dielectric Media ◽  
Magnetic Theory ◽  
Electro Magnetic ◽  
Refracted Waves

The laws of the reflexion and refraction of polarized light at the surface of a crystal in accordance with the electro-magnetic theory of light have been discussed by Lorentz (Schlömilch Zeitschrift, vol. xxii.), Fitzgerald (Phil. Trans., Vol. 171, 1880), and myself (Proc. Camb. Phil. Society, 1881). When a plane wave of electro-magnetic disturbance falls on the surface of separation between two different dielectric media six equations of condition are obtained. Three of these express the conditions that the electric displacement perpendicular to the surface and the electromotive force along the surface should be the same in the two media, while the other three do the same for the magnetic force and displacement. In all cases the six equations reduce to only four. Let us suppose we know the amount and direction of the electric displacement in the incident wave. If both media are isotropic, these four equations give us the amounts and directions of the electric displacements in the reflected and refracted waves.

scholarly journals Sir Wm. Thomson and Maxwell's Electro-magnetic Theory of Light

Nature ◽  
1885 ◽  
Vol 32 (810) ◽  
pp. 4-5 ◽  
Author(s):  
GEO. FRAS. FITZGERALD
Keyword(s):  
Magnetic Theory ◽  
Electro Magnetic

scholarly journals On light elliptically polarised by reflexion, especially near the polarising angle: a comparison with theory

1907 ◽  
Vol 79 (533) ◽  
pp. 481-508
Keyword(s):  
Magnetic Force ◽  
Incident Light ◽  
Electric Displacement ◽  
Magnetic Theory ◽  
Electro Magnetic ◽  
Principal Parts

Taking the phenomena of light to be due to periodic displacements in a rotational ether, we shall investigate the exact character of these displacements in the case of reflection from an isotropic transparent substance. Two well-known vectors play the principal parts in any such optical discussion—the displacement of the medium and its curl; in the electro-magnetic theory the former is proportional to the magnetic force and the latter to the electric “displacement.” To give precision to the discussion we shall deal throughout with the displacement of the medium, there being no difficulty in dealing in a similar fashion with the curl. Let the displacement in the incident light be of unit amplitude and polarised in a plane making an angle θ with the plane of incidence. It can be resolved into two components ξ = cos θ cos pt in the plane of incidence, and η = sin θ cos pt perpendicular to this plane. The corresponding com­ponents in the reflected beam are then given by the formulæ ξ = -R' cos θ cos ( pt - ρ' ) and η = -R sin θ cos ( pt - ρ ).

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