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Vol. 224, Issue 8, August 2018, pp. 51-62




Curvature as Obstacle to a Photo-Resistor Sensor of Illumining and Their Minimal Sensing Region

1 Francisco Bulnes, 2 Isaίas Martίnez, 3 Rocίo Cayetano, 4 Itzcoatl Valencia, 4 Brandon A. Martίnez and 4 Juan M. Beltrán

1, 2, 3 IINAMEI, International Advance Research in Mathematics and Engineering, Chalco, Mexico
4 Electro-Mechanics Engineering Division, Tesch. Federal Highway Mexico-Cuautla, o/n Tlapala “La Candelaria” Chalco, State of Mexico, 56641, Mexico
Tel.: 5559821088, fax: 5559821089

E-mail: francisco.bulnes@tesch.edu.mx


Received: 19 June 2018 /Accepted: 31 July 2018 /Published: 31 August 2018

Digital Sensors and Sensor Sysstems


Abstract: Through consider to the curvature as the deviation of any field interaction, even as obstruction to their flow, is designed and created an photo-resistor sensor to the control and optimization of illumination in a space M with different gradients of illumination and luminous sources position. Then the sensing problem is a problem of free boundary conditions where is satisfied an energy functional of Dirichlet type with Sobolev norm ||u||1,2 to curvature functions k that satisfy in the luminous intensity change limit the condition u|¶W < k. This carries to that the illuminating sensor must be designed on a length gauge to measure the changes of illumination in the space. After this is generalized considering the stereographic projection of the light beam. Several applications derived of this research are mentioned.


Keywords: Basic guide of illuminating field, Curvature energy, Curvature Dirichlet energy, Energy spectrum of curvature, Illuminating field, Illuminating gradients, Illuminating sensor, Illuminating sensor stereographic component, Photo-Resistor sensor, Sensing obstacle problem.


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