The University of Southampton
University of Southampton Institutional Repository

THz-TDS parameter extraction: Empirical correction terms for the analytical transfer function solution

THz-TDS parameter extraction: Empirical correction terms for the analytical transfer function solution
THz-TDS parameter extraction: Empirical correction terms for the analytical transfer function solution

Terahertz time-domain spectroscopy (TDS) is capable of determining both real and imaginary refractive indices of a wide range of material samples; however, converting the TDS data into complex refractive indices typically involves iterative algorithms that are computationally slow, involve complex analysis steps, and can sometimes lead to non-convergence issues. To avoid using iterative algorithms, it is possible to solve the transfer function analytically by assuming the material loss is low; however, this leads to errors in the refractive index values.Here we demonstrate howthe errors created by solving the transfer function analytically are largely predictable, and present a set of empirically derived equations to diminish the error associated with this analytical solution by an impressive two to three orders of magnitude.We propose these empirical correction terms are well suited for use in industrial applications such as process monitoring where analysis speed and accuracy are of the utmost importance.

0003-6935
4013-4020
Gorecki, Jonathan
6f68dd34-2d89-4063-baf6-8bb6cf8ccfe8
Apostolopoulos, Vasileios
8a898740-4c71-4040-a577-9b9d70530b4d
Gorecki, Jonathan
6f68dd34-2d89-4063-baf6-8bb6cf8ccfe8
Apostolopoulos, Vasileios
8a898740-4c71-4040-a577-9b9d70530b4d

Gorecki, Jonathan and Apostolopoulos, Vasileios (2021) THz-TDS parameter extraction: Empirical correction terms for the analytical transfer function solution. Applied Optics, 60 (13), 4013-4020. (doi:10.1364/AO.420987).

Record type: Article

Abstract

Terahertz time-domain spectroscopy (TDS) is capable of determining both real and imaginary refractive indices of a wide range of material samples; however, converting the TDS data into complex refractive indices typically involves iterative algorithms that are computationally slow, involve complex analysis steps, and can sometimes lead to non-convergence issues. To avoid using iterative algorithms, it is possible to solve the transfer function analytically by assuming the material loss is low; however, this leads to errors in the refractive index values.Here we demonstrate howthe errors created by solving the transfer function analytically are largely predictable, and present a set of empirically derived equations to diminish the error associated with this analytical solution by an impressive two to three orders of magnitude.We propose these empirical correction terms are well suited for use in industrial applications such as process monitoring where analysis speed and accuracy are of the utmost importance.

Text
THz-TDS parameter extraction Empirical correction terms for the analytical transfer function solution - Accepted Manuscript
Download (1MB)

More information

Submitted date: 2021
Accepted/In Press date: 2021
Published date: 1 May 2021
Additional Information: Publisher Copyright: © 2021 Optical Society of America. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

Identifiers

Local EPrints ID: 448688
URI: http://eprints.soton.ac.uk/id/eprint/448688
ISSN: 0003-6935
PURE UUID: e0f6cfd0-7320-4b53-abcc-87edc81c833a
ORCID for Jonathan Gorecki: ORCID iD orcid.org/0000-0001-9205-2294
ORCID for Vasileios Apostolopoulos: ORCID iD orcid.org/0000-0003-3733-2191

Catalogue record

Date deposited: 30 Apr 2021 16:30
Last modified: 17 Mar 2024 06:27

Export record

Altmetrics

Contributors

Author: Jonathan Gorecki ORCID iD

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×