Optimal focusing conditions of lenses using Gaussian beams
Abstract
By using the analytical equations of the propagation of Gaussian beams in which truncation exhibits negligible consequences, we describe a method that uses the value of the focal length of a focusing lens to classify its focusing performance. In this study, we show that for different distances between a laser and a focusing lens there are different planes where best focusing conditions can be obtained and we demonstrate how the value of the focal length impacts the lens focusing properties. To perform the classification we introduce the term delimiting focal length. As the value of the focal length used in wave propagation theory is nominal and difficult to measure accurately, we describe an experimental approach to calculate its value matching our analytical description. Finally, we describe possible applications of the results for characterizing Gaussian sources, for measuring focal lengths and/or alternatively for characterizing pistonlike movements.
 Authors:

 Centro de Investigaciones en Optica, A.C. (Mexico)
 Centro Nacional de Metrologia (Mexico)
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Publication Date:
 Research Org.:
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22)
 OSTI Identifier:
 1340380
 Report Number(s):
 BNL1125642016JA
Journal ID: ISSN 00304018
 Grant/Contract Number:
 SC00112704
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Optics Communications
 Additional Journal Information:
 Journal Volume: 371; Journal Issue: C; Journal ID: ISSN 00304018
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 47 OTHER INSTRUMENTATION; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Best focusing plane; Focal length; Focusing lens; Fresnel number
Citation Formats
Franco, Juan Manuel, Cywiak, Moisés, Cywiak, David, and Mourad, Idir. Optimal focusing conditions of lenses using Gaussian beams. United States: N. p., 2016.
Web. doi:10.1016/j.optcom.2016.03.084.
Franco, Juan Manuel, Cywiak, Moisés, Cywiak, David, & Mourad, Idir. Optimal focusing conditions of lenses using Gaussian beams. United States. doi:10.1016/j.optcom.2016.03.084.
Franco, Juan Manuel, Cywiak, Moisés, Cywiak, David, and Mourad, Idir. Sat .
"Optimal focusing conditions of lenses using Gaussian beams". United States. doi:10.1016/j.optcom.2016.03.084. https://www.osti.gov/servlets/purl/1340380.
@article{osti_1340380,
title = {Optimal focusing conditions of lenses using Gaussian beams},
author = {Franco, Juan Manuel and Cywiak, Moisés and Cywiak, David and Mourad, Idir},
abstractNote = {By using the analytical equations of the propagation of Gaussian beams in which truncation exhibits negligible consequences, we describe a method that uses the value of the focal length of a focusing lens to classify its focusing performance. In this study, we show that for different distances between a laser and a focusing lens there are different planes where best focusing conditions can be obtained and we demonstrate how the value of the focal length impacts the lens focusing properties. To perform the classification we introduce the term delimiting focal length. As the value of the focal length used in wave propagation theory is nominal and difficult to measure accurately, we describe an experimental approach to calculate its value matching our analytical description. Finally, we describe possible applications of the results for characterizing Gaussian sources, for measuring focal lengths and/or alternatively for characterizing pistonlike movements.},
doi = {10.1016/j.optcom.2016.03.084},
journal = {Optics Communications},
number = C,
volume = 371,
place = {United States},
year = {2016},
month = {4}
}