Hamilton's Method in Geometrical Optics, Issues 9-10John Lighton Synge, University of Maryland, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, Institute for Fluid Dynamics and Applied Mathematics, 1951 - Fluid mechanics - 128 pages |
Contents
The Velocity Function | 3 |
Refraction and Reflection | 4 |
The Characteristic Function V | 7 |
30 other sections not shown
Common terms and phrases
angle characteristic assume b₂ calculate calculus of variations change in entropy characteristic function coefficients components consider coordinates corresponding Crsmn curve defined determined direction cosines element of volume eliminate entropy entropy change equations of motion expressions Fermat's Principle final ray Finsler Finsler geometry follows geometrical optics given gives gravitational Hamilton's method Hamiltonian geometry Hence homogeneous of degree Hugoniot equations initial and final instrument integration intersection J. L. Synge Lecture Lorentz-invariant obtain optical length parameter partial derivatives partial differential equation path plane wave pressure propagation quantities ray velocity reciprocal wave surface refraction or reflection S-curve satisfied series development shock front shock wave solution space-time Substituting t-plane theory trace u₁ undetermined values variables variations vector W₁ zero لا