23 citations · 88 across the 34 of their papers we have counts for
4 papers · 1 filter
On the equations of diffracted geodesics
D. H. Delphenich
An explicit form for the geodesic equations that would describe diffracted light rays is obtained and the Levi-Civita connection that enters into it is shown to be a sum of contrib…
The Foucault pendulum as an example of motion on a pseudo-surface
D. H. Delphenich
The Foucault pendulum is shown to be an example of motion on a pseudo-surface, and the consequences of that are explored. In particular, its first and second fundamental forms are…
A pre-metric generalization of the Lorentz transformation
D. H. Delphenich
The concept of an observer and their associated rest space is defined in a pre-metric (i.e., projective-geometric) context that relates to time+space decompositions of the tangent…
On geodesics of gradient-index optical metrics and the optical-mechanical analogy
D. H. Delphenich
The geodesic equations for optical media whose refractive indices have a non-vanishing gradient are developed. It is shown that when those media are optically isotropic, the light…