Mathematical Optics

3	Dynamic Programming Applications in Optics
Maria L. Calvo, Jesús Pérez-Ríos, and Vasudevan Lakshminarayanan

CONTENTS

3.1      Introduction: Dynamic Programming

3.2      Classical Optics Problems: Propagation of the Electromagnetic Field in Optical Media

3.2.1    Geometrical Optics Approximation

3.2.2    Hamiltonian Optics

3.3      Dynamic Programming Applied to Optical Waveguides

3.3.1    Fermat’s Principle and Their Applications

3.3.1.1    Applications of Fermat’s Principle and Calculus of Variation

3.3.2    Eikonal Equation: Back to DP

3.3.3    Solving the Eikonal Equation: The Lagrange–Charpit Method

3.3.4    Dynamic Programming Applied to Planar Optical Waveguides

3.3.5    Dynamic Programming Applied to Optical Waveguides with Cylindrical ...