Short description A comprehensive reference for applied mathematicians, optics specialists with a mathematical background, and academics in the geometrical optics and optical design community.
From the contents Part I: Preliminaries 1. Calculus of Variations 2. Calculus of Variations: Differential Geometry of Space Curves (Helix and Ellipse) 3. Fermat's Principle and the Ray Equation for Inhomogeneous Isotropic Media 4. Hilber Integral, the Derivation of the Hamilton-Jacobi Theory, and the Eikonal Equation 5. First-order Partial Differential Equations Part II: The k-Function 6. Calculation of Surface Differential Geometry Parameters 7. Ray Tracing 8. Refraction of Wavefronts at Surfaces 9. Solution of the Maxwell Equation in the Context of the k-function Part III: Applications 10. Pseudo Maxwell Equations 11. Derivation and Discussion of the Cartesian Oval 12. The Modern Schiefspiegler 13. Huygen's Principle 14. Maxwell's Model of Gauss' Perfect Lens
