Integration of the Planck Blackbody Radiation Function

Widger, William K.; Woodall, M. P.

doi:10.1175/1520-0477(1976)057<1217:iotpbr>2.0.co;2

Cited by 32 publications

(28 citation statements)

References 1 publication

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“…Considering the blackbody as an absolute source, the calculation of the incident radiant flux on the detector was performed while taking the transmittance of the built-in optical filter into account. For this purpose the in band radiance, from 6 µm to 15 µm, was computed according to [5]; in this range the spectral transmittance of the optical filter is almost constant. This leads to a systematic error which can be overcome, theoretically, by using detectors without built-in optical filters.…”

Section: Resultsmentioning

confidence: 99%

Radiometric sampling system for use in the terahertz band of the electromagnetic spectrum

Trinchera

Pogliano

Serazio

et al. 2012

2012 Conference on Precision Electromagnetic Measurements

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A new radiometric measuring system to be used in the terahertz region, equipped with a pyroelectric detector and a standard synchronous sampling system is being developed at INRIM. A black-body cylindrical cavity, suitable for operating from −50 ∘ C to 80 ∘ C with known thermodynamic temperature and calculable radiant flux, is employed as a polychromatic terahertz source for the calibration of the radiometer. Preliminary tests were performed in order to determine the responsivity and stability of the radiometer in function of the incident power density, at a specific spectral band. A relative uncertainty lower than 0.2 % is obtained with radiation peak intensity from 15.76 THz to 18.7 THz.

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Section: Resultsmentioning

confidence: 99%

Radiometric sampling system for use in the terahertz band of the electromagnetic spectrum

Trinchera

Pogliano

Serazio

et al. 2012

2012 Conference on Precision Electromagnetic Measurements

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“…However, the in-band luminosity requires integration over a finite frequency range. Here, the method of Widger and Woodall is followed [4].…”

Section: The Apparent Magnitude Of Relativistic Blackbody Radiatorsmentioning

confidence: 99%

Black Sun: Ocular Invisibility of Relativistic Luminous Astrophysical Bodies

Lee¹,

Cleaver²

2016

JHEPGC

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Considered as a gedanken experiment are the conditions under which the relativistic Doppler shifting of visible electromagnetic radiation to beyond the human ocular range could reduce the incident radiance of the source, and render a luminous astrophysical body (LAB) invisible to a naked eye. This paper determines the proper distance as a function of relativistic velocity at which a luminous object attains ocular invisibility.

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“…The integral included in eq. 1 can be approximated using the numerical method proposed by Widger [14] in order to compute the final curve fitting. The curve fitting process will allow us to extrapolate the response curve to the final temperature range, which cannot be fully recreated in the laboratory.…”

Section: Detector Response To Temperaturementioning

confidence: 99%

Microbolometer characterization with the electronics prototype of the IRCAM for the JEM-EUSO mission

et al. 2014

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JEM-EUSO is a space observatory that will be attached to the Japanese module of the International Space Station (ISS) to observe the UV photon tracks produced by Ultra High Energy Cosmic Rays (UHECR) interacting with atmospheric nuclei. The observatory comprises an Atmospheric Monitoring System (AMS) to gather data about the status of the atmosphere, including an infrared camera (IRCAM) for cloud coverage and cloud top height detection. This paper describes the design and characterization tests of IRCAM, which is the responsibility of the Spanish JEM-EUSO Consortium. The core of IRCAM is a 640x480 microbolometer array, the ULIS 04171, sensitive to radiation in the range 7 to 14 microns.The microbolometer array has been tested using the Front End Electronics Prototype (FEEP). This custom designed electronics corresponds to the Breadboard Model, a design built to verify the camera requirements in the laboratory. The FEEP controls the configuration of the microbolometer, digitizes the detector output, sends data to the Instrument Control Unit (ICU), and controls the microbolometer temperature to a 10 mK stability. Furthermore, the FEEP allows IRCAM to preprocess images by the addition of a powerful FPGA. This prototype has been characterized in the laboratories of Instituto de Astrofisica de Canarias (IAC). Main results, including detector response as a function of the scene temperature, NETD and Non-Uniformity Correction (NUC) are shown. Results about thermal resolution meet the system requirements with a NETD lower than 1K including the narrow band filters which allow us to retrieve the clouds temperature using stereovision algorithms.

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Integration of the Planck Blackbody Radiation Function

Abstract: Integration of the Planck function over almost any band of wavelengths normally of interest to meteorology is shown now to be practical using modern scientific pocket calculators. A graph of the integral and an example are included.

Cited by 32 publications

References 1 publication

Radiometric sampling system for use in the terahertz band of the electromagnetic spectrum

Radiometric sampling system for use in the terahertz band of the electromagnetic spectrum

Black Sun: Ocular Invisibility of Relativistic Luminous Astrophysical Bodies

Microbolometer characterization with the electronics prototype of the IRCAM for the JEM-EUSO mission

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