Generalization for the angular deviation of a prism with a triangular base in different external media

In this paper, we propose to establish a generalized function for the angular deviation in a prism with a triangular base immersed in different external media. After obtaining such a function, we demonstrate the minimum deviation conditions. In addition, we make a detailed analysis of the function, including the necessary conditions so that there is no total reflection in the interfaces, these conditions that relate to the domain of such a function. In addition, we point out that certain aspects of symmetry existing in the particular case of identical external means are not true for the general case; aspects that, combining the physical principle of reversibility and the mathematical principle of non-contradiction, allow obtaining the angles related to the minimum deviation without the use of differential calculus.

Keywords:
Angular deviation; prism; base