Questioni di Ottica Geometrica

TL;DR

This thesis introduces new optical invariants, generalizes aberration formulas, and analyzes fundamental principles like Fermat's, contributing novel theoretical insights to geometric optics.

Contribution

It presents two original optical invariants, extends Luneburg's aberration formulas, and offers detailed proofs and applications within optical system analysis.

Findings

Introduction of two new optical invariants

Generalization of third-order aberration formulas

Analysis of Fermat's Principle and applications in optical systems

Abstract

In this thesis, written in Italian, some original results are presented: two new optical invariants, similar to that of Lagrange, the generalization of the third order Luneburg's aberrations formulae and the detailed proof of the way they were obtained. The work is completed by an analysis of Fermat's Principle, Lagrangian and Hamiltonian Optics and some applications to optical systems.