TITLE:
Principles of a Novel Method in Geometrical Optics and Its Application to the Determination of the Conjugation Formulae
AUTHORS:
Siaka Touré
KEYWORDS:
Specific Refractive Index, Image of a Luminous Object, Refractive Medium Boundary, Conjugation Formulae, Axiomatic Method
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.16 No.3,
March
31,
2026
ABSTRACT: The present study introduces a novel axiomatic method for the study of optical elements and systems. This novel method is based on four principles. Their application allowed the determination of the conjugation formulae of the optical elements, such as spherical refractive surface, plane refractive surface, spherical mirror, and plane mirror, without any geometrical construction. They were also applied to find the conjugation formulae in the case of two successive refractive spherical surfaces. That allowed to find the conjugation formula, without any geometrical construction, in the case of a thin lens, then in the case of a parallel-sided refractive glass. The case of a thick lens was also investigated. Hence, the accuracy of the four novel principles is proved. Therefore, the new method can be used to study the conjugation formulae regarding other successive optical elements, without any geometrical construction, and be a very good tool of modelling the optical elements and the optical systems.