Blackbody Radiation : A History of Thermal Radiation Computational AIDS and Numerical Methods (Optical Sciences and Applications of Light)

Stewart, Sean M./ Johnson, R. Barry

CRC Press（2019/12発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 384 p.
• 言語 ENG
• 商品コード 9780367871116
• DDC分類 539.2

Full Description

Shelving Guide: Electrical Engineering

In 1900 the great German theoretical physicist Max Planck formulated a correct mathematical description of blackbody radiation. Today, understanding the behavior of a blackbody is of importance to many fields including thermal and infrared systems engineering, pyrometry, astronomy, meteorology, and illumination. This book gives an account of the development of Planck's equation together with many of the other functions closely related to it. Particular attention is paid to the computational aspects employed in the evaluation of these functions together with the various aids developed to facilitate such calculations.

The book is divided into three sections.


Section I - Thermal radiation and the blackbody problem are introduced and discussed. Early developments made by experimentalists and theoreticians are examined as they strove to understand the problem of the blackbody.




Section II - The development of Planck's equation is explained as are the all-important fractional functions of the first and second kinds which result when Planck's equation is integrated between finite limits. A number of theoretical developments are discussed that stem directly from Planck's law, as are the various computational matters that arise when numerical evaluation is required. Basic elements of radiometry that tie together and use many of the theoretical and computational ideas developed is also presented.




Section III - A comprehensive account of the various computational aids such as tables, nomograms, graphs, and radiation slide rules devised and used by generations of scientists and engineers when working with blackbody radiation are presented as are more recent aids utilizing computers and digital devices for real-time computations.



Scientists and engineers working in fields utilizing blac

Contents

SECTION I: THE BLACKBODY PROBLEM

Chapter 1. Thermal radiation and the blackbody problem

1.1 Towards a solution to the blackbody problem

1.2 Planck and the blackbody problem

1.3 The work of the experimentalists

1.4 Thermal laws from dimensional analysis

1.5 Transition and new beginnings

SECTION II: THEORETICAL AND NUMERICAL MATTERS

Chapter 2. Theoretical developments

2.1 Spectral representations

2.2 Two important special functions

2.2.1 Polylogarithms

2.2.2 The Lambert W function

2.3 Two common spectral scales used to represent blackbody radiation

2.4 Other spectral scale representations

2.5 Ephemeral spectral peaks

2.6 Logarithmic spectral scales

2.7 The radiometric and actinometric cases

2.8 Normalized spectral exitance

2.9 The Stefan-Boltzmann law

2.9.1 The traditional approach

2.9.2 A polylogarithmic approach

2.10 Fractional functions of the first kind

2.11 Fractional functions of other kinds

2.12 Centroid and median wavelengths

2.13 The standard probability distribution and cumulative probability distribution functions for blackbody radiation

2.14 Infrared, visible, and ultraviolet components in the spectral distribution of blackbody radiation

Chapter 3. Computational and numerical developments

3.1 Approximations to the spectral exitance

3.1.1 The laws of Wien and Rayleigh-Jeans

3.1.2 Extended Wien and Rayleigh-Jeans approximations

3.1.3 Polynomial interpolation and logarithmic correction factors

3.1.4 Laurent polynomials and non-rational approximations of Erminy

3.2 Computation of the fractional function of the first kind

3.2.1 Series expansion methods

3.2.1.1 Large arguments

3.2.1.2 Small arguments

3.2.1.3 Division point

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