Regular papers

An alternative approach to the tomographic reconstruction of smooth refractive index distributions

¹ Unidad Académica de Ingeniería Eléctrica, Universidad Autónoma de Zacatecas, Antiguo Camino a la Bufa No. 1, Col. Centro. C. P. 98000, Zacatecas, Zac. México
² Luis Enrique Erro No. 1, Santa María Tonantzintla, San Andrés Cholula, C.P. 72840, Puebla, México
³ Unidad Académica de Física, Universidad Autónoma de Zacatecas, Calzada Solidaridad Esquina con Paseo a la Bufa S\N. Col. Centro. C. P. 98000, Zacatecas, Zac. México
⁴ Instituto de Ingeniería, Universidad Autónoma de Ciudad Juárez, Av. del Charro 450 Norte, C.P. 32310, Ciudad Juárez, Chihuahua, México
⁵ Centro de Física Aplicada y Tecnología Avanzada, Universidad Nacional Autónoma de México, Campus Juriquilla, Querétaro, Querétaro, México (On sabbatical leave at Universidad Autónoma de Querétaro)

^a berval@inaoep.mx
^b gonzalez_efren@hotmail.com
^c tsaucedo@fisica.uaz.edu.mx
^d ismaelrv@yahoo.com
^e jvillah@yahoo.com

Received: 21 September 2012
Revised: 4 April 2013

Abstract

Continuous, mathematically smooth Phase Objects with radial symmetry are reconstructed from cross sections of their refractive index distribution by a novel method, consisting of a linear combination of Gaussian basis functions, whose technical details are discussed. As an application example, this approach is used to get a fast and accurate estimation of the temperature distribution of an actual soldering tip.