A complement to the scalar wave theory of light
Kolahal Bhattacharya
TL;DR
This paper explores the connection between Hamiltonian optics and scalar wave theory, demonstrating how wave solutions relate to classical laws like Snell's law and Fresnel's equations for light reflection.
Contribution
It provides a novel link between Hamiltonian optics and scalar wave theory, offering insights into wave solutions and classical optical laws.
Findings
Wave solutions resemble Huygen's wavelets
Derivation of Snell's law from wave solutions
Reflection coefficients align with Fresnel's equations
Abstract
In this paper, we discuss how the concepts of Hamiltonian optics are internally connected to the scalar wave theory of light rays. It is shown that the solutions of the reduced wave equation are similar to Huygen's wavelets, and they can be used to understand Snell's law of refraction. This model can also be used to derive the coefficient of reflection consistent with Fresnel's equation for -polarized light.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.