24 citations · 153 across the 57 of their papers we have counts for
57 papers
A pre-metric formulation of the Fresnel wave and ray surfaces
D. H. Delphenich
The conventional formulation of the Fresnel wave and ray surfaces typically involves the implicit use of Euclidian metrics in order to justify treating vectors and covectors as ind…
A generalized Hamiltonian formulation of the principle of virtual work
D. H. Delphenich
The authors previous derivation of a variational principle from the total work functional, as a generalization of the first variation of an action functional, is extended by derivi…
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…