Involving the Cartesian Coordinates of the Object Point, Image Point, and the Point of Observation to Give Birth to Novel Determinantal Equations in Cases of Reflection and Refraction of Light

Bhattacharjee PR

Published on: 2023-08-25

Abstract

This paper makes use of the generalized vectorial laws of reflection and refraction to give birth to determinantal equations, each of which consists of the Cartesian coordinates of the object point, image point, and the point of observation in relation to reflection and refraction of light at plane and curved spherical reflecting as well as refracting surfaces. Such a problem has never been tried by any one earlier. The determinantal equations developed are unlikely to be obtained by making use of the traditional laws of reflection and refraction of light. Thus the problem addressed as well as the determinantal equations developed are both novel and original. The present work reflects another novel application of the generalized vectorial laws of reflection and refraction there by proving the efficiency of the generalized vectorial laws of reflection and refraction as compared to the traditional laws of reflection and refraction of light. It has got academic importance and educational value as well, and it will enrich and enhance the optical physics literature.