Showing papers on "Paraxial approximation published in 1970"
TL;DR: In this paper, the first-order imaging properties of dielectric rods with refractive index decreasing quadratically with distance from the axis are analyzed from the viewpoint of gaussian ray optics.
Abstract: The first-order imaging properties of dielectric rods with refractive index decreasing quadratically with distance from the axis are analyzed from the viewpoint of gaussian ray optics. Cardinal-point locations vary with rod length, but the usual object–image relationships are then still applicable. Several ray diagrams are shown; one of the examples is a contact magnifier.
42 citations
30 citations
TL;DR: In this article, the focal loci of a number of three-element lenses have been measured and compared with calculations made using the design procedure of Heddle, provided that only paraxial rays are used.
Abstract: The focal loci of a number of three-element lenses have been measured and compared with calculations made using the design procedure of Heddle. Very good agreement is found provided that only paraxial rays are used.
23 citations
Patent•
23 Jun 1970
TL;DR: A reflex light reflector comprising a reflective screen for reflecting both paraxial and normal rays and having a diffusion coating applied to the surface thereof for dispersing light rays reflected by said screen is described in this article.
Abstract: A reflex light reflector comprising a reflective screen for reflecting both paraxial and normal rays and having a diffusion coating applied to the surface thereof for dispersing light rays reflected by said screen.
18 citations
TL;DR: An optical system incorporating two closely spaced cylindrical mirrors that provides variable focal lengths and deflection angles is described, applicable to optical or millimeter wave transmission systems lying along irregular paths.
Abstract: An optical system incorporating two closely spaced cylindrical mirrors is described. By properly orienting the mirrors in space, an incident beam can be focused at any desired point within a large volume. This simple periscopic system, which provides variable focal lengths and deflection angles, is applicable to optical or millimeter wave transmission systems lying along irregular paths. A paraxial ray theory of the system is given, as well as experimental results.
7 citations
TL;DR: It is shown that of all holograms, the Fourier-transform hologram makes the most efficient use of available resolving power and coherence length.
Abstract: The number of degrees of freedom, or structural-information content, of the object wave field recorded in a Leith-Upatnieks hologram is expressed in terms of the resolving power and dimensions of the recording medium, the coherence properties of the primary illumination and the position of the point reference source. In contrast with previous studies, the calculation does not involve the paraxial approximation. It is shown that of all holograms, the Fourier-transform hologram makes the most efficient use of available resolving power and coherence length.
1 citations
TL;DR: In this paper, light distributions in the image plane of a blurred object have been evaluated using a high precision computing technique and applied in the paraxial region for variations of focal setting going up to 16λ.
TL;DR: The functional programming introduced by Geometrica in geometry is illustrated with various aspects of the concept of parallelism, and applications to architecture and optics are proposed.
Abstract: The functional programming introduced by Geometrica in geometry is illustrated with various aspects of the concept of parallelism. Parallelism is well defined for a continuous curve. Its generalisation to a broken line or a polygon requires some convention at the vertices where the normal and the distance are undefined. The next level of generalisation consists of defining a curve whose distance to a reference curve varies according to a given law. Such a curve is called paraxial Applications to architecture and optics are proposed. 1 Genericity