Modal characterization using principal component analysis: Application to Bessel, higher-order Gaussian beams and their superposition

A. Mourka, M. Mazilu, E. M. Wright, K. Dholakia

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The modal characterization of various families of beams is a topic of current interest. We recently reported a new method for the simultaneous determination of both the azimuthal and radial mode indices for light fields possessing orbital angular momentum. The method is based upon probing the far-field diffraction pattern from a random aperture and using the recorded data as a 'training set'. We then transform the observed data into uncorrelated variables using the principal component analysis (PCA) algorithm. Here, we show the generic nature of this approach for the simultaneous determination of the modal parameters of Hermite-Gaussian and Bessel beams. This reinforces the widespread applicability of this method for applications including information processing, spectroscopy and manipulation. Additionally, preliminary results demonstrate reliable decomposition of superpositions of Laguerre-Gaussians, yielding the intensities and relative phases of each constituent mode. Thus, this approach represents a powerful method for characterizing the optical multi-dimensional Hilbert space.

Original languageEnglish
Article number1422
JournalScientific reports
Volume3
DOIs
Publication statusPublished - 2013 Mar 25

Fingerprint

Principal Component Analysis
Automatic Data Processing
Spectrum Analysis
Light

All Science Journal Classification (ASJC) codes

  • General

Cite this

@article{db5b66751c494f7e8ffe0b2ca4fccf11,
title = "Modal characterization using principal component analysis: Application to Bessel, higher-order Gaussian beams and their superposition",
abstract = "The modal characterization of various families of beams is a topic of current interest. We recently reported a new method for the simultaneous determination of both the azimuthal and radial mode indices for light fields possessing orbital angular momentum. The method is based upon probing the far-field diffraction pattern from a random aperture and using the recorded data as a 'training set'. We then transform the observed data into uncorrelated variables using the principal component analysis (PCA) algorithm. Here, we show the generic nature of this approach for the simultaneous determination of the modal parameters of Hermite-Gaussian and Bessel beams. This reinforces the widespread applicability of this method for applications including information processing, spectroscopy and manipulation. Additionally, preliminary results demonstrate reliable decomposition of superpositions of Laguerre-Gaussians, yielding the intensities and relative phases of each constituent mode. Thus, this approach represents a powerful method for characterizing the optical multi-dimensional Hilbert space.",
author = "A. Mourka and M. Mazilu and Wright, {E. M.} and K. Dholakia",
year = "2013",
month = "3",
day = "25",
doi = "10.1038/srep01422",
language = "English",
volume = "3",
journal = "Scientific Reports",
issn = "2045-2322",
publisher = "Nature Publishing Group",

}

Modal characterization using principal component analysis : Application to Bessel, higher-order Gaussian beams and their superposition. / Mourka, A.; Mazilu, M.; Wright, E. M.; Dholakia, K.

In: Scientific reports, Vol. 3, 1422, 25.03.2013.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Modal characterization using principal component analysis

T2 - Application to Bessel, higher-order Gaussian beams and their superposition

AU - Mourka, A.

AU - Mazilu, M.

AU - Wright, E. M.

AU - Dholakia, K.

PY - 2013/3/25

Y1 - 2013/3/25

N2 - The modal characterization of various families of beams is a topic of current interest. We recently reported a new method for the simultaneous determination of both the azimuthal and radial mode indices for light fields possessing orbital angular momentum. The method is based upon probing the far-field diffraction pattern from a random aperture and using the recorded data as a 'training set'. We then transform the observed data into uncorrelated variables using the principal component analysis (PCA) algorithm. Here, we show the generic nature of this approach for the simultaneous determination of the modal parameters of Hermite-Gaussian and Bessel beams. This reinforces the widespread applicability of this method for applications including information processing, spectroscopy and manipulation. Additionally, preliminary results demonstrate reliable decomposition of superpositions of Laguerre-Gaussians, yielding the intensities and relative phases of each constituent mode. Thus, this approach represents a powerful method for characterizing the optical multi-dimensional Hilbert space.

AB - The modal characterization of various families of beams is a topic of current interest. We recently reported a new method for the simultaneous determination of both the azimuthal and radial mode indices for light fields possessing orbital angular momentum. The method is based upon probing the far-field diffraction pattern from a random aperture and using the recorded data as a 'training set'. We then transform the observed data into uncorrelated variables using the principal component analysis (PCA) algorithm. Here, we show the generic nature of this approach for the simultaneous determination of the modal parameters of Hermite-Gaussian and Bessel beams. This reinforces the widespread applicability of this method for applications including information processing, spectroscopy and manipulation. Additionally, preliminary results demonstrate reliable decomposition of superpositions of Laguerre-Gaussians, yielding the intensities and relative phases of each constituent mode. Thus, this approach represents a powerful method for characterizing the optical multi-dimensional Hilbert space.

UR - http://www.scopus.com/inward/record.url?scp=84875127714&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84875127714&partnerID=8YFLogxK

U2 - 10.1038/srep01422

DO - 10.1038/srep01422

M3 - Article

C2 - 23478330

AN - SCOPUS:84875127714

VL - 3

JO - Scientific Reports

JF - Scientific Reports

SN - 2045-2322

M1 - 1422

ER -