Work

Geometrical Optics and Riemannian Geometry

Year: 1996

Type: article

Abstract: The methods of differential geometry are used with the assumption that rays of light follow geodesic trajectories in a space whose metric is determined by the refraction index. Keeping this in mind, we show that these hypotheses are equivalent to the Fermat's Principle for a ray that is propagated in a heterogeneous medium. By applying the methods of differential geometry, the well-known Maxwell's Fisheye problem is solved.

Source: LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas)

Authors: Luis Carretero López, Felipe Mateos Álvarez, Augusto Beléndez

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1487382852

FWCI:

Cites:

Cited by: 1

Related to: 10