Lagrangian mechanics can be applied to geometrical optics, by applying variational principles to rays of light in a medium, and solving the EL equations gives the equations of the paths the light rays follow.
22.
Although mathematical reasoning shows that perfect concealment is not probable because of the wave nature of light, this problem does not apply to electromagnetic rays, i . e ., the domain of geometrical optics.
23.
Section 1 of the first of his four lectures on wave mechanics delivered in 1928 is titled " Derivation of the fundamental idea of wave mechanics from Hamilton's analogy between ordinary mechanics and geometrical optics ".
24.
In the opinion of L�on Rosenfeld, a close colleague of Niels Bohr, " . . . Schr�dinger [ was ] inspired by Hamilton's beautiful comparison of classical mechanics and geometrical optics . . ."
25.
Under reasonable hypothesis on the " initial " data, the eikonal equation admits a local solution, but a global smooth solution ( e . g . a solution for all time in the geometrical optics case ) is not possible.
26.
METATOYs are usually treated within the framework of geometrical optics; the light-ray-direction change performed by a METATOY is described by a mapping of the direction of any incoming light ray onto the corresponding direction of the outgoing ray.
27.
When studied using the principles of geometrical optics, the series of repeating images forms the infinite mathematical surface known as Gabriel's Horn, or Torricelli's Trumpet, named in honor of Italian mathematician Evangelista Torricelli, who first studied it.
28.
O'Brien's right-hand man was R . E . Hopkins, a young instructor with a B . S . from MIT who had just received his MS from the Institute of Optics, helping with lens design and geometrical optics.
29.
"' Gaussian optics "'is a technique in geometrical optics that describes the behaviour of light rays in optical systems by using the paraxial approximation, in which only rays which make small angles with the optical axis of the system are considered.
30.
To begin with, the mechanism of the ( Galilean ) telescopes had been explained in terms of geometrical optics and the nature of the objects that they imaged was consistent; for example a distant lake would not resemble a tree when seen through a telescope.
