Mathematical retroreflectors

• Author(s): Plakhov, Alexander
• Date: 2011
• Persistent ID: http://hdl.handle.net/10773/6313
• Origin: RIA - Repositório Institucional da Universidade de Aveiro
• Subject(s): Billiards; retroreflectors; shape optimization; problems of maximum resistance
• Document Type: Article
• Language: English

Description

Retroreflectors are optical devices that reverse the direction of incident beams of light. Here we present a collection of billiard type retroreflectors consisting of four objects; three of them are asymptotically perfect retroreflectors, and the fourth one is a retroreflector which is very close to perfect. Three objects of the collection have recently been discovered and published or submitted for publication. The fourth object — notched angle — is a new one; a proof of its retroreflectivity is given.Retroreflectors are optical devices that reverse the direction of incident beams of light. Here we present a collection of billiard type retroreflectors consisting of four objects; three of them are asymptotically perfect retroreflectors, and the fourth one is a retroreflector which is very close to perfect. Three objects of the collection have recently been discovered and published or submitted for publication. The fourth object — notched angle — is a new one; a proof of its retroreflectivity is given.