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2016 | Book

Black-Body Radiative Functions in a Given Spectral Range Read chapter Read first chapter

Black-body Radiative, Thermodynamic, and Chromatic Functions: Tables in Finite Spectral Ranges

Authors: Anatoliy I. Fisenko, Vladimir F. Lemberg

Publisher: Springer International Publishing

Part of: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik"

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About this book

This book provides detailed calculated values for the thermal radiative and thermodynamic functions of black-body radiation in finite spectral ranges. The results are presented in tabular form. The areas of thermal power generation, infrared medical diagnostics, solar power and nuclear generation, and astrophysics are included. A range of the thermal radiative and thermodynamic functions are calculated by the authors in the finite frequency/wavenumber/wavelength intervals at different temperatures. This book also contains the tables of the chromaticity coordinates and RGB parameters calculated for different color spaces (Rec.709 (HDTV), sRGB, Adobe RGB). A number of the optimization problems is formulated and solved for various thermal black-body radiative and thermodynamic functions in a finite range of frequencies.

Table of Contents

Frontmatter
Chapter 1. Black-Body Radiative Functions in a Given Spectral Range
Abstract
In almost all areas of physics and astrophysics related to the measurement of spectral and integral properties of the emitted systems, a small interval of the electromagnetic spectrum has the practical interest [1]. Therefore, extensive numbers of tables of the Planck functions, Planck integrals, and their fractional values have been constructed in the finite spectral ranges [1–12]. In this chapter, the analytical expressions for the thermal radiative functions and a number density of photons over an arbitrary spectral range are presented. Using these exact analytical expressions the values of these functions are calculated for various ranges of the electromagnetic spectrum at different temperatures. Their values are presented in Tables 6.1–6.3.
Anatoliy I. Fisenko, Vladimir F. Lemberg
Chapter 2. Thermodynamics of Black-Body Radiation in a Finite Spectral Range
Abstract
The thermodynamics of black-body radiation was investigated earlier for the entire range of the spectrum [1]. However, for the practical applications, we need to construct the thermodynamics of black-body radiation in the finite spectral range. In [2, 3], the thermodynamics of black-body radiation for the finite spectral range was proposed. This approach was applied by the authors to various physical [4–7] and astrophysical [2, 8, 9] problems.
Anatoliy I. Fisenko, Vladimir F. Lemberg
Chapter 3. Examples of the Use of the Tables 6.1–6.3 for Practical Applications
Abstract
Let us consider several examples of using the Tables 6.1–6.3 for calculating the thermal radiative and thermodynamic functions of black-body radiation in the finite spectral range.
Anatoliy I. Fisenko, Vladimir F. Lemberg
Chapter 4. Chromaticity Properties of Black-Body Radiation for Different Color Spaces
Abstract
For multiple applications, such as photography, television, color printing, etc., it is interesting to analyze the chromatic properties of the black-body sources of thermal radiation in the visible part of spectrum (380–780 nm). This topic was partially investigated in [1], where the relative chromaticity coordinates for the black-body radiation spectrum were calculated at various temperatures.
Anatoliy I. Fisenko, Vladimir F. Lemberg
Chapter 5. Optimization Problems for the Devices Using the Black-Body Thermal Radiation
Abstract
The devices which are dealing with the thermal radiation (such as emitters [1–4], receivers [5–8], filters [9–12], transformers [13–15], etc.) are mainly working in a finite range of frequencies. Such devices are frequently need to be optimized for getting the best possible value for the specific thermal radiative or thermodynamic characteristics that can be reached in the given spectral range. For example, the devices can be optimized for obtaining the maximal possible amount of the emitted (or received) total radiation energy, or, alternatively, the maximal number of the emitted (or received) number of photons. Potentially, the devices can be also optimized for some other thermal radiative or thermodynamic parameters.
Anatoliy I. Fisenko, Vladimir F. Lemberg
Chapter 6. Tables of Black-Body Radiative, Thermodynamic, and Chromatic Functions

In this chapter the tables of black-body radiative, thermodynamic, and chromatic functions are presented. The constants for the calculation of black-body radiative, thermodynamic, and chromatic functions have been selected as follows:

Anatoliy I. Fisenko, Vladimir F. Lemberg
Backmatter
Metadata
Title
Black-body Radiative, Thermodynamic, and Chromatic Functions: Tables in Finite Spectral Ranges
Authors
Anatoliy I. Fisenko
Vladimir F. Lemberg
Copyright Year
2016
Electronic ISBN
978-3-319-38995-0
Print ISBN
978-3-319-38994-3
DOI
https://doi.org/10.1007/978-3-319-38995-0