Metric For The Measurement Of The Quality Of Complex Beams: A Theoretical Study

Abstract

We present a theoretical study of various definitions of laser beam width in a given cross section. Quality of the beam is characterized by dimensionless beam propagation products (BPPs) Δx • Δθx/λ, which are different for the 21 definitions presented, but are close to 1. Six particular beams are studied in detail. In the process, we had to review the properties for the Fourier transform of various modifications and the relationships between them: physical Fourier transform (PFT), mathematical Fourier transform (MFT), and discrete Fourier transform (DFT). We found an axially symmetric self-MFT function, which may be useful for descriptions of diffractionquality beams. In the appendices, we illustrate the thesis the Fourier transform lives on the singularities of the original.

Publication Date

1-1-2015

Publication Title

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volume

32

Issue

4

Number of Pages

538-548

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1364/JOSAA.32.000538

Socpus ID

84982129455 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84982129455

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