Instrumentation, Measurement, and Metrology

Algorithm for Ronchigram recovery with random aberrations coefficients

[+] Author Affiliations
Daniel Aguirre-Aguirre

Instituto Nacional de Astrofísica Óptica y Electrónica, Optics Department, Apdo. Postal 51 and 216, C.P. 72000, Puebla, Pue., México

Rafael Izazaga-Pérez

Instituto Nacional de Astrofísica Óptica y Electrónica, Optics Department, Apdo. Postal 51 and 216, C.P. 72000, Puebla, Pue., México

Fermín S. Granados-Agustín

Instituto Nacional de Astrofísica Óptica y Electrónica, Optics Department, Apdo. Postal 51 and 216, C.P. 72000, Puebla, Pue., México

Brenda Villalobos-Mendoza

Instituto Nacional de Astrofísica Óptica y Electrónica, Optics Department, Apdo. Postal 51 and 216, C.P. 72000, Puebla, Pue., México

Maria E. Percino-Zacarías

Instituto Nacional de Astrofísica Óptica y Electrónica, Optics Department, Apdo. Postal 51 and 216, C.P. 72000, Puebla, Pue., México

Alejandro Cornejo-Rodríguez

Instituto Nacional de Astrofísica Óptica y Electrónica, Optics Department, Apdo. Postal 51 and 216, C.P. 72000, Puebla, Pue., México

Opt. Eng. 52(5), 053606 (May 24, 2013). doi:10.1117/1.OE.52.5.053606
History: Received February 1, 2013; Revised April 4, 2013; Accepted April 30, 2013
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Abstract.  We present the validation for Ronchigram recovery with the random aberrations coefficients (ReRRCA) algorithm. This algorithm was proposed to obtain the wavefront aberrations of synthetic Ronchigrams, using only one Ronchigram without the need for polynomial fits or trapezoidal integrations. The validation is performed by simulating different types of Ronchigrams for on-axis and off-axis surfaces. In order to validate the proposed analysis, the polynomial aberration coefficients that were used to generate the simulated Ronchigrams were retrieved. Therefore, it was verified that the coefficients correspond to the retrieved ones by the algorithm. The results show that the ReRRCA algorithm retrieves the aberration coefficients from the analyzed Ronchigram with a maximum error of 9%.

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© 2013 Society of Photo-Optical Instrumentation Engineers

Citation

Daniel Aguirre-Aguirre ; Rafael Izazaga-Pérez ; Fermín S. Granados-Agustín ; Brenda Villalobos-Mendoza ; Maria E. Percino-Zacarías, et al.
"Algorithm for Ronchigram recovery with random aberrations coefficients", Opt. Eng. 52(5), 053606 (May 24, 2013). ; http://dx.doi.org/10.1117/1.OE.52.5.053606


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