Tesis profesional presentada por
Licenciatura en Física. Departamento de Actuaría, Física y Matemáticas. Escuela de Ciencias, Universidad de las Américas Puebla.
Jurado Calificador
Presidente: Dr. Victor Andreevich Vysloukh
Enisova
Secretario y Director: Dr. Miguel Ángel
Ocaña Bribiesca
Vocal y Co-director: Dr. Juan Pablo
Treviño Gutiérrez
Cholula, Puebla, México a 18 de mayo de 2016.
We present and evaluate a way to utilize vortex phase masks to decimate the costs of current methods for retinal cone counting. This new way of tackling the accuracy in cone counting, should also allow us to incorporate the new to current algorithms, making them faster and with an accuracy beyond the Rayleigh Criterion, according with previous research on the subject.
Motivation The cone counting systems widely used today are highly limited by the exorbitant costs of AO hardware (i.e. the RTX-1, Imagine Eyes, Orsay, France). A new detection method based on a phase mask vortex would entail a great cost reduction for the medical industry and a more accurate numbering of cones in the retina (Kawano Feng et al.). Applying a new coronagraph inspired method should make current systems faster and with an accuracy beyond the Rayleigh Criterion. This method has been successfully implemented in an astronomical setting of exoplanet exploration (Tamburini et al., "Overcoming the Rayleigh criterion limit with optical vortices" Tong and Korotkova).
Palabras clave: visual, optics, eye, cone, cells, photoreceptor, retina, coronagraph, counting, mosaic.
Agradecimientos (archivo pdf, 89 kb)
Introduction (archivo pdf, 201 kb)
Capítulo 1. A mathematical background: Fourier Theory (archivo pdf, 516 kb)
Capítulo 2. The human eye (archivo pdf, 868 kb)
Capítulo 3. Optical systems and Imaging (archivo pdf, 1 mb)
Capítulo 4. Simulating cone counting systems in Matlab (archivo pdf, 6 mb)
Capítulo 5. Conclusions and Future Work (archivo pdf, 251 kb)
Herrán Cuspinera, R. M. 2016. A numerical simulation of a vortex beam scanner for photoreceptor foveal cone cells. Tesis Licenciatura. Física. Departamento de Actuaría, Física y Matemáticas, Escuela de Ciencias, Universidad de las Américas Puebla. Mayo. Derechos Reservados © 2016.