|
Mie theory, also called Lorenz-Mie theory or Lorenz-Mie-Debye theory, is a complete analytical solution of Maxwell's equations for the scattering of electromagnetic radiation by spherical particles (also called Mie scattering). Mie solution is named after its developer German physicist Gustav Mie. However, Danish physicist Ludvig Lorenz and others independently developed the theory of electromagnetic plane wave scattering by a dielectric sphere. In electromagnetism, Maxwells equations are a set of equations developed in the latter half of the nineteenth century by James Clerk Maxwell. ...
In particle physics, scattering is a class of phenomena by which particles are deflected by collisions with other particles. ...
Electromagnetic radiation can be imagined as a self-propagating transverse oscillating wave of electric and magnetic fields. ...
Gustav Mie (September 29, 1869 Rostock – February 13, 1957 Freiburg im Breisgau) was a German physicist. ...
Ludvig Valentin Lorenz (1829 - 1891) was a Danish mathematician and physicist. ...
Mie theory is not a correct name because it is not a theory per se, rather Mie solution to Maxwell's equations should be used. Currently, Mie solution is also used in broader context, for example when discussing solution to scattering by stratified spheres or by infinite cylinders, or in general when dealing with scattering problems solved using exact Maxwell equations in cases where one can separate equations for the radial and angular dependence of solutions.
In contrast to Rayleigh scattering Mie solutions to scattering embraces all possible ratios of diameter to wavelength, although the technique results in numerical summation of infinite sums. In its original formulation it assumed an homogeneous, isotropic and optically linear material irradiated by an infinitely extending plane wave. However, solutions for layered spheres is also possible. Rayleigh scattering causing a reddened sky at sunset Rayleigh scattering (named after Lord Rayleigh (RAY-lee)) is the scattering of light, or other electromagnetic radiation, by particles much smaller than the wavelength of the light. ...
Isotropic means independent of direction. Isotropic radiation has the same intensity regardless of the direction of measurement, and an isotropic field exerts the same action regardless of how the test particle is oriented. ...
The word linear comes from the Latin word linearis, which means created by lines. ...
In the physics of wave propagation (especially electromagnetic waves), a plane wave (also spelled planewave) is a constant-frequency wave whose wavefronts (surfaces of constant amplitude and phase) are infinite parallel planes normal to the propagation direction. ...
Mie theory is very important in meteorological optics, where diameter-to-wavelength ratios of the order of unity and larger are characteristic of many problems regarding haze and cloud scattering. Scattering of radar energy by raindrops constitutes another significant application of the Mie solution. A further application is optical particle characterization. Mie solution is also important for understanding the appearance of common materials like milk, biological tissue and latex paint. Satellite image of Hurricane Hugo with a polar low visible at the top of the image. ...
Table of Opticks, 1728 Cyclopaedia Optics ( appearance or look in ancient Greek) is a branch of physics that describes the behavior and properties of light and the interaction of light with matter. ...
Cumulonimbus capillatus incus floating over Swifts Creek, Victoria in Australia A cloud is a visible mass of condensed droplets or frozen crystals suspended in the atmosphere above the surface of the Earth or another planetary body. ...
This long range Radar antenna, known as ALTAIR, is used to detect and track space objects in conjunction with ABM testing at the Ronald Reagan Test Site on the Kwajalein atoll[1]. Radar is a system that uses radio waves to determine and map the location, direction, and/or speed...
For other uses, see Milk (disambiguation). ...
Biological tissue is a collection of interconnected cells that perform a similar function within an organism. ...
The LaTeX logo, typeset with LaTeX LATEX, written as LaTeX in plain text, is a document markup language and document preparation system for the TeX typesetting program. ...
The modern way to formulate the Mie solutions to scattering problems on a sphere was outlined also by J. A. Stratton (Electromagnetic Theory, New York: McGraw-Hill, 1941). In this formulation the incident plane wave as well as the scattering field is expanded into radiating spherical vector wave functions. The internal field is expanded into regular spherical vector wave functions. By enforcing the boundary condition on the spherical surface, the expansion coefficients of the scattered field can be computed. A basic FORTRAN program of the Mie solution for sphere and infinite cylinder can be found in the book by Bohren and Huffman on light scattering by small particles. In physics and in vector calculus, a spatial vector, or simply vector, is a concept characterized by a magnitude and a direction. ...
In mathematics, boundary conditions are imposed on the solutions of ordinary differential equations and partial differential equations, to fit the solutions to the actual problem. ...
Fortran (previously FORTRAN[1]) is a general-purpose[2], procedural,[3] imperative programming language that is especially suited to numeric computation and scientific computing. ...
See also The discrete dipole approximation (DDA) - is a method for computing scattering of radiation by particles of arbitrary shape. ...
References - A. Stratton: Electromagnetic Theory, New York: McGraw-Hill, 1941.
- H. C. van de Hulst: Light scattering by small particles, New York, Dover, 1981.
- M. Kerker: The scattering of light and other electromagnetic radiation. New York, Academic, 1969.
- C. F. Bohren, D. R. Huffmann: Absorption and scattering of light by small particles. New York, Wiley-Interscience, 1983.
- P. W. Barber, S. S. Hill: Light scattering by particles: Computational methods. Singapore, World Scientific, 1990.
- G. Mie, “Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen,” Leipzig, Ann. Phys. 330, 377–445 (1908).
External links |
Feeds |
Contact