Exact expressions for thermal contrast detected with thermal and quantum detectors

Seán M. Stewart, R. Barry Johnson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

The detected thermal contrast is a recently defined figure of merit introduced to describe the overall performance of a detector detecting radiation from a thermal source. We examine the detected thermal contrast for the case where the target emissivity can be assumed to be a function of the temperature and independent of the wavelength within a narrow wavelength interval of interest. Exact expressions are developed to evaluate the thermal contrast detected by both thermal and quantum detectors for focal-plane radiation detecting instruments. Expressions for the thermal contrast of a blackbody, an intrinsic radiative quantity of a body independent of the detection process, and simplified expressions for the detected thermal contrast for target emissivities which are well approximated by the grey body approximation are also given. It is found the contribution in the detected thermal contrast consists of two terms. The first results from changes occurring in the emissivity of a target with temperature while the second results from purely radiative processes. The size of the detected thermal contrast is found to be similar for the two detector types within typical infrared wavelength intervals of interest, contradicting a result previously reported in the literature. The exact results are presented in terms of a polylogarithmic formulation of the problem and extend a number of approximation schemes that have been proposed and developed in the past.

Original languageEnglish
Title of host publicationElectro-Optical and Infrared Systems: Technology and Applications XI
PublisherSPIE
Volume9249
ISBN (Print)9781628413120
DOIs
Publication statusPublished - 2014
EventElectro-Optical and Infrared Systems: Technology and Applications XI - Amsterdam, Netherlands
Duration: Sep 23 2014Sep 24 2014

Other

OtherElectro-Optical and Infrared Systems: Technology and Applications XI
CountryNetherlands
CityAmsterdam
Period9/23/149/24/14

Fingerprint

Detector
Detectors
detectors
emissivity
Emissivity
Wavelength
wavelengths
Target
intervals
Radiation Detectors
radiation
Hot Temperature
approximation
figure of merit
Radiation detectors
Blackbody
Interval
Approximation Scheme
Focal Plane
Exact Results

Keywords

  • Blackbody radiation
  • Detectors
  • Emissivity
  • Polylogarithms
  • Radiometry
  • Thermal contrast

ASJC Scopus subject areas

  • Applied Mathematics
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Stewart, S. M., & Johnson, R. B. (2014). Exact expressions for thermal contrast detected with thermal and quantum detectors. In Electro-Optical and Infrared Systems: Technology and Applications XI (Vol. 9249). [92490D] SPIE. https://doi.org/10.1117/12.2066598

Exact expressions for thermal contrast detected with thermal and quantum detectors. / Stewart, Seán M.; Johnson, R. Barry.

Electro-Optical and Infrared Systems: Technology and Applications XI. Vol. 9249 SPIE, 2014. 92490D.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Stewart, SM & Johnson, RB 2014, Exact expressions for thermal contrast detected with thermal and quantum detectors. in Electro-Optical and Infrared Systems: Technology and Applications XI. vol. 9249, 92490D, SPIE, Electro-Optical and Infrared Systems: Technology and Applications XI, Amsterdam, Netherlands, 9/23/14. https://doi.org/10.1117/12.2066598
Stewart SM, Johnson RB. Exact expressions for thermal contrast detected with thermal and quantum detectors. In Electro-Optical and Infrared Systems: Technology and Applications XI. Vol. 9249. SPIE. 2014. 92490D https://doi.org/10.1117/12.2066598
Stewart, Seán M. ; Johnson, R. Barry. / Exact expressions for thermal contrast detected with thermal and quantum detectors. Electro-Optical and Infrared Systems: Technology and Applications XI. Vol. 9249 SPIE, 2014.
@inproceedings{40c3b499e3b146d5a6d95a2811b1a42e,
title = "Exact expressions for thermal contrast detected with thermal and quantum detectors",
abstract = "The detected thermal contrast is a recently defined figure of merit introduced to describe the overall performance of a detector detecting radiation from a thermal source. We examine the detected thermal contrast for the case where the target emissivity can be assumed to be a function of the temperature and independent of the wavelength within a narrow wavelength interval of interest. Exact expressions are developed to evaluate the thermal contrast detected by both thermal and quantum detectors for focal-plane radiation detecting instruments. Expressions for the thermal contrast of a blackbody, an intrinsic radiative quantity of a body independent of the detection process, and simplified expressions for the detected thermal contrast for target emissivities which are well approximated by the grey body approximation are also given. It is found the contribution in the detected thermal contrast consists of two terms. The first results from changes occurring in the emissivity of a target with temperature while the second results from purely radiative processes. The size of the detected thermal contrast is found to be similar for the two detector types within typical infrared wavelength intervals of interest, contradicting a result previously reported in the literature. The exact results are presented in terms of a polylogarithmic formulation of the problem and extend a number of approximation schemes that have been proposed and developed in the past.",
keywords = "Blackbody radiation, Detectors, Emissivity, Polylogarithms, Radiometry, Thermal contrast",
author = "Stewart, {Se{\'a}n M.} and Johnson, {R. Barry}",
year = "2014",
doi = "10.1117/12.2066598",
language = "English",
isbn = "9781628413120",
volume = "9249",
booktitle = "Electro-Optical and Infrared Systems: Technology and Applications XI",
publisher = "SPIE",
address = "United States",

}

TY - GEN

T1 - Exact expressions for thermal contrast detected with thermal and quantum detectors

AU - Stewart, Seán M.

AU - Johnson, R. Barry

PY - 2014

Y1 - 2014

N2 - The detected thermal contrast is a recently defined figure of merit introduced to describe the overall performance of a detector detecting radiation from a thermal source. We examine the detected thermal contrast for the case where the target emissivity can be assumed to be a function of the temperature and independent of the wavelength within a narrow wavelength interval of interest. Exact expressions are developed to evaluate the thermal contrast detected by both thermal and quantum detectors for focal-plane radiation detecting instruments. Expressions for the thermal contrast of a blackbody, an intrinsic radiative quantity of a body independent of the detection process, and simplified expressions for the detected thermal contrast for target emissivities which are well approximated by the grey body approximation are also given. It is found the contribution in the detected thermal contrast consists of two terms. The first results from changes occurring in the emissivity of a target with temperature while the second results from purely radiative processes. The size of the detected thermal contrast is found to be similar for the two detector types within typical infrared wavelength intervals of interest, contradicting a result previously reported in the literature. The exact results are presented in terms of a polylogarithmic formulation of the problem and extend a number of approximation schemes that have been proposed and developed in the past.

AB - The detected thermal contrast is a recently defined figure of merit introduced to describe the overall performance of a detector detecting radiation from a thermal source. We examine the detected thermal contrast for the case where the target emissivity can be assumed to be a function of the temperature and independent of the wavelength within a narrow wavelength interval of interest. Exact expressions are developed to evaluate the thermal contrast detected by both thermal and quantum detectors for focal-plane radiation detecting instruments. Expressions for the thermal contrast of a blackbody, an intrinsic radiative quantity of a body independent of the detection process, and simplified expressions for the detected thermal contrast for target emissivities which are well approximated by the grey body approximation are also given. It is found the contribution in the detected thermal contrast consists of two terms. The first results from changes occurring in the emissivity of a target with temperature while the second results from purely radiative processes. The size of the detected thermal contrast is found to be similar for the two detector types within typical infrared wavelength intervals of interest, contradicting a result previously reported in the literature. The exact results are presented in terms of a polylogarithmic formulation of the problem and extend a number of approximation schemes that have been proposed and developed in the past.

KW - Blackbody radiation

KW - Detectors

KW - Emissivity

KW - Polylogarithms

KW - Radiometry

KW - Thermal contrast

UR - http://www.scopus.com/inward/record.url?scp=84922729455&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84922729455&partnerID=8YFLogxK

U2 - 10.1117/12.2066598

DO - 10.1117/12.2066598

M3 - Conference contribution

AN - SCOPUS:84922729455

SN - 9781628413120

VL - 9249

BT - Electro-Optical and Infrared Systems: Technology and Applications XI

PB - SPIE

ER -