Gans theory or Mie-Gans theory is the extension of Mie theory for the case of spheroidal particles. It gives the scattering characteristics of both oblate and prolate spheroidal particles much smaller than the excitation wavelength.
Since it is a solution of the Maxwell equations it should technically not be called a theory.
The theory is named after Richard Gans who first published the solution for gold particles in 1912 in an article entitled "Über die Form ultramikroskopischer Goldteilchen".[1] A subsequent article in 1915 discussed the case of silver particles.[2]
In Gans theory, the absorption is only dependent on the aspect ratio of the particles and not on the absolute dimensions. This dependence is introduced through so called polarization- or shape factors related to the three dimensions of the particle. For the case of spheroids, this reduces to only two different factors since the particle is rotational symmetric around one axis.
It is currently being applied in the field of nanotechnology to characterize silver and gold nanorods.[3] A popular alternative for this is the Discrete dipole approximation (DDA) method. Gans theory gives the exact solution for spheroidal particles; real nanorods, however, have a more cylindrical shape. Using DDA, it is possible to better model the exact shape of the particles. As the name suggests, this will only give an approximation.
^Gans, R. (1912). "Über die Form ultramikroskopischer Goldteilchen". Ann. Phys. 342: 881.
^Gans, R. (1915). "Über die Form ultramikroskopischer Silberteilchen". Ann. Phys.352: 270.
^Eustis, S.; El-Sayed, M. A. (2006). "Determination of the aspect ratio statistical distribution of gold nanorods in solution from a theoretical fit of the observed inhomogeneously broadened longitudinal plasmon resonance absorption spectrum". Journal of Applied Physics. 100 (4): 044324. Bibcode:2006JAP...100d4324E. doi:10.1063/1.2244520.
Ganstheory or Mie-Ganstheory is the extension of Mie theory for the case of spheroidal particles. It gives the scattering characteristics of both oblate...
advanced physics at the University of Buenos Aires. Ganstheory is named after Richard Gans. This theory gives the solutions to the Maxwell equations for...
Rayleigh scattering for small particles and Rayleigh–Gans–Debye scattering (after Lord Rayleigh, Richard Gans and Peter Debye) for large particles. The existence...
conditional GAN or cGAN. An idea similar to GANs was used to model animal behavior by Li, Gauci and Gross in 2013. Another inspiration for GANs was noise-contrastive...
Eduard Gans (March 22, 1797 – May 5, 1839) was a German jurist. Gans was born in Berlin to prosperous Jewish parents. He studied law first at the Friedrich...
Language: A Formal Theory of Representation (1981), Gans has developed his ideas about human culture, language, and origins. In 1995, Gans founded (and continues...
Dumoulin, Vincent; Courville, Aaron C (2017). "Improved Training of Wasserstein GANs". Advances in Neural Information Processing Systems. 30. Curran Associates...
proposed the provocative theory of "new head theory", opened up evolutionary developmental biology as a new discipline. Gans, who was Jewish, was born...
argues Gans, such a conspiracy must also include the multiple participants of the cities experiment conducted by Gans (which includes Gans himself). Gans concludes...
forms and representation theory in the context of the Langlands program, especially the theory of theta correspondence, the Gan–Gross–Prasad conjecture...
Music theory is the study of the practices and possibilities of music. The Oxford Companion to Music describes three interrelated uses of the term "music...
Joshua is the brother of Jeremy Gans, a criminal law professor at the University of Melbourne. "Rotman Faculty Bios: Joshua Gans". Archived from the original...
גַּן־עֵדֶן, romanized: gan-ʿĒḏen; Greek: Εδέμ; Latin: Paradisus) or Garden of God (גַּן־יְהֹוֶה, gan-YHWH and גַן־אֱלֹהִים, gan-Elohim), also called the...
Soviet montage theory is an approach to understanding and creating cinema that relies heavily upon editing (montage is French for 'assembly' or 'editing')...
The Artificial Theory for the Dramatic Beauty is the debut EP by Japanese metalcore band Crossfaith. It was released on 29 April 2009 through Zestone Records...
discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential...
as a substitute for it. In this research, Girard's and Gans' theory is complemented with a theory of mythopoesis, according to which the personality's transformation...
an Indian academic; William Bowe of the Australian Poll Bludger; Curtis Gans, author of Voter Turnout in the United States, 1788–2009; and Michael Gallagher...
Brunauer–Emmett–Teller (BET) theory aims to explain the physical adsorption of gas molecules on a solid surface and serves as the basis for an important...
Professor Eric Gans of UCLA who developed his ideas in a series of books and articles beginning with The Origin of Language: A Formal Theory of Representation...
Archived from the original on September 28, 2013. Retrieved April 8, 2012. Gans, Andrew (June 16, 2006). "DIVA TALK: Chatting with Mame's Christine Baranski"...
Copernicus is mentioned in the books of David Gans (1541–1613), who worked with Brahe and Kepler. Gans wrote two books on astronomy in Hebrew: a short...
Global Information