Optimal focusing conditions of lenses using Gaussian beams

Franco, Juan Manuel; Cywiak, Moisés; Cywiak, David; Mourad, Idir

doi:10.1016/j.optcom.2016.03.084

Title: Optimal focusing conditions of lenses using Gaussian beams

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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 piston-like movements.

Authors:

Franco, Juan Manuel ^[1]; Cywiak, Moisés ^[1]; Cywiak, David ^[2]; Mourad, Idir ^[3]

Centro de Investigaciones en Optica, A.C. (Mexico)
Centro Nacional de Metrologia (Mexico)
Brookhaven National Lab. (BNL), Upton, NY (United States)

Publication Date:: Sat Apr 02 00:00:00 EDT 2016

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1340380

Report Number(s):: BNL-112564-2016-JA
Journal ID: ISSN 0030-4018

Grant/Contract Number:: SC00112704

Resource Type:: Accepted Manuscript

Journal Name:: Optics Communications

Additional Journal Information:: Journal Volume: 371; Journal Issue: C; Journal ID: ISSN 0030-4018

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.

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                    Franco, Juan Manuel, Cywiak, Moisés, Cywiak, David, & Mourad, Idir. Optimal focusing conditions of lenses using Gaussian beams.  United States.  https://doi.org/10.1016/j.optcom.2016.03.084

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                    Franco, Juan Manuel, Cywiak, Moisés, Cywiak, David, and Mourad, Idir. Sat .  
"Optimal focusing conditions of lenses using Gaussian beams".  United States.  https://doi.org/10.1016/j.optcom.2016.03.084.  https://www.osti.gov/servlets/purl/1340380.

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@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 piston-like movements.},

  doi          = {10.1016/j.optcom.2016.03.084},

  journal      = {Optics Communications},

  number       = C,

  volume       = 371,

  place        = {United States},

  year         = {Sat Apr 02 00:00:00 EDT 2016},

  month        = {Sat Apr 02 00:00:00 EDT 2016}

}

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