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Meaning of "dispersion relation" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF DISPERSION RELATION

dispersion relation play
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GRAMMATICAL CATEGORY OF DISPERSION RELATION

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Dispersion relation is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES DISPERSION RELATION MEAN IN ENGLISH?

Dispersion relation

In physical sciences and electrical engineering, dispersion relations describe the effect of dispersion in a medium on the properties of a wave traveling within that medium. A dispersion relation relates the wavelength or wavenumber of a wave to its frequency. From this relation the phase velocity and group velocity of the wave have convenient expressions which then determine the refractive index of the medium. More general than the geometry-dependent and material-dependent dispersion relations, there are the overarching Kramers–Kronig relations that describe the frequency dependence of wave propagation and attenuation. Dispersion may be caused either by geometric boundary conditions or by interaction of the waves with the transmitting medium. Elementary particles, considered as matter waves, have a nontrivial dispersion relation even in the absence of geometric constraints and other media. In the presence of dispersion, wave velocity is no longer uniquely defined, giving rise to the distinction of phase velocity and group velocity.

Definition of dispersion relation in the English dictionary

The definition of dispersion relation in the dictionary is the relationship between the angular frequency of a wave and the magnitude of its wave vector. Thus the wave's speed is ω/ k.

WORDS THAT BEGIN LIKE DISPERSION RELATION

dispensing optician
dispeople
dispermous
dispersal
dispersal prison
dispersal zone
dispersant
disperse
dispersed
dispersedly
dispersedness
disperser
dispersible
dispersion
dispersion hardening
dispersive
dispersive medium
dispersively
dispersiveness
dispersoid

WORDS THAT END LIKE DISPERSION RELATION

accreditation
action
administration
animation
application
association
certification
citation
combination
communication
confirmation
conversation
corporation
creation
decoration
destination
documentation
duration
education
evaluation
excitation

Synonyms and antonyms of dispersion relation in the English dictionary of synonyms

SYNONYMS

Translation of «dispersion relation» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF DISPERSION RELATION

Find out the translation of dispersion relation to 25 languages with our English multilingual translator.
The translations of dispersion relation from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «dispersion relation» in English.

Translator English - Chinese

色散关系
1,325 millions of speakers

Translator English - Spanish

relación de dispersión
570 millions of speakers

English

dispersion relation
510 millions of speakers

Translator English - Hindi

फैलाव संबंध
380 millions of speakers
ar

Translator English - Arabic

علاقة التشتت
280 millions of speakers

Translator English - Russian

дисперсии
278 millions of speakers

Translator English - Portuguese

relação de dispersão
270 millions of speakers

Translator English - Bengali

বিচ্ছুরণ সম্পর্ক
260 millions of speakers

Translator English - French

relation de dispersion
220 millions of speakers

Translator English - Malay

Hubungan penyebaran
190 millions of speakers

Translator English - German

Dispersionsrelation
180 millions of speakers

Translator English - Japanese

分散関係
130 millions of speakers

Translator English - Korean

분산 관계
85 millions of speakers

Translator English - Javanese

Dispersi hubungan
85 millions of speakers
vi

Translator English - Vietnamese

mối quan hệ phân tán
80 millions of speakers

Translator English - Tamil

சிதைவு உறவு
75 millions of speakers

Translator English - Marathi

पांगापांग संबंध
75 millions of speakers

Translator English - Turkish

Dağılma ilişkisi
70 millions of speakers

Translator English - Italian

relazione di dispersione
65 millions of speakers

Translator English - Polish

relacja dyspersji
50 millions of speakers

Translator English - Ukrainian

дисперсії
40 millions of speakers

Translator English - Romanian

relație de dispersie
30 millions of speakers
el

Translator English - Greek

διασπορά σχέση
15 millions of speakers
af

Translator English - Afrikaans

verspreiding verhouding
14 millions of speakers
sv

Translator English - Swedish

dispersion förhållande
10 millions of speakers
no

Translator English - Norwegian

dispersjon relasjon
5 millions of speakers

Trends of use of dispersion relation

TRENDS

TENDENCIES OF USE OF THE TERM «DISPERSION RELATION»

The term «dispersion relation» is regularly used and occupies the 72.468 position in our list of most widely used terms in the English dictionary.
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100%
FREQUENCY
Regularly used
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/100
The map shown above gives the frequency of use of the term «dispersion relation» in the different countries.
Principal search tendencies and common uses of dispersion relation
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «dispersion relation».

FREQUENCY OF USE OF THE TERM «DISPERSION RELATION» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «dispersion relation» during the past 500 years. Its implementation is based on analysing how often the term «dispersion relation» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about dispersion relation

EXAMPLES

10 ENGLISH BOOKS RELATING TO «DISPERSION RELATION»

Discover the use of dispersion relation in the following bibliographical selection. Books relating to dispersion relation and brief extracts from same to provide context of its use in English literature.
1
Causality and dispersion relations
Causality and dispersion relations
Nussenzveig, 1972
2
Three-Particle Physics and Dispersion Relation Theory
The description of these interconnected reactions and ways of handling them is the main subject of the book.
A. V. Anisovich, V. V. Anisovich, M. A. Matveev, 2013
3
Cold Plasma Waves
There is a relation between these four quantities known as the dispersion relation . Arbitrary values (real or complex) may be assigned to any three of them, and the dispersion relation then determines the fourth. For example, if the direction of ...
H.G. Booker, 1984
4
Introductory Applied Quantum and Statistical Mechanics
We conclude that the wave packet solution in this case is the initial wave packet simply translated in space: io(x,t) = ^o(x-cr) (2.35) A linear dispersion relation results in a simple translation of the solution, with no modification in shape.
Peter L. Hagelstein, Stephen D. Senturia, Terry P. Orlando, 2004
5
Nonlinear Optics: Theory, Numerical Modeling, and Applications
into the dispersion relation. The reason for this is that if one thinks of the simplest type of propagating wave, such as a plane wave of the form ty = exp /(w/ - ks), then differentiation w.r.t. t gives just), while differentiation w.r.t : gives —jk^. Hence  ...
Partha P. Banerjee, 2003
6
Stability and Transition in Shear Flows
Dispersion relation Let us first mathematically define convective and absolute instability by introducing the general dispersion relation D(a,u) = 0 (7.72) which associates dynamic behavior in space (expressed by the wave number a) and time ...
Peter J. Schmid, Dan S. Henningson, 2001
7
Electromagnetic Instabilities in an Inhomogeneous Plasma
In section 1.1.1 we recall the form of the dispersion relation for a homogeneous plasma. In section 1.1.2 we introduce the potentials of the perturbed electromagnetic field and explain their meaning. In section 1.1.3 we represent the basic ...
A.B Mikhailovskii, 1992
8
Lecture Notes on Principles of Plasma Processing
1. Dispersion relation In Part A5, Eq. (A5-2) gave the dispersion relation for RH polarized e.m. waves propagating in the z direction (along BO). If, instead, the wave vector k were at an angle 9 to BO, the dispersion relation would be ...
Francis F. Chen, Jane P. Chang, 2003
9
Handbook of Surface Plasmon Resonance
(2.8), we obtain a graphical representation of the SPR dispersion relation as shown in Figure 2.2 (line I). In the same figure, the dispersion relation for ''normal'' light is depicted (line a). We immediately see that, apart from the origin, there is no ...
Richard B. M. Schasfoort, Anna J. Tudos, 2008
10
Nanostructured and Subwavelength Waveguides: Fundamentals ...
JWST181-c06 JWST181-Skorobogatiy April 27, 2012 7:44 Trim: 244mm X 168mm METAMATERIALS IN THE FORM OF ALL-DIELECTRIC PLANAR MULTILAYERS Because of the metamaterial periodicity, the dispersion relation can be ...
Maksim Skorobogatiy, 2012

10 NEWS ITEMS WHICH INCLUDE THE TERM «DISPERSION RELATION»

Find out what the national and international press are talking about and how the term dispersion relation is used in the context of the following news items.
1
Fiber guiding at the Dirac frequency beyond photonic bandgaps
Upon solving Equation (1) for the eigen frequency k0c/2π as a function of the wave vector kz/2π, the dispersion relation of the guided mode is ... «Nature.com, Jun 15»
2
Explaining zero-linewidth resonances by their topological nature
The periodic modulation alters the dispersion relation of light and gives rise to photonic bands—see Figure 1(a)—analogous to electronic band ... «SPIE Newsroom, Mar 15»
3
A plasmonic analog of graphene
Collective plasmon dispersion relation ωq±as a function of in-plane wavevector q=(qx, qy)in units of the localized surface plasmon frequency ... «SPIE Newsroom, Dec 14»
4
Hyperbolic metamaterials beyond simple multilayers
As a result, the dispersion relation determining the wave vectors of propagating waves changes topology from a bounded ellipsoid to an ... «SPIE Newsroom, Oct 14»
5
Photonic Crystals “Go Hyper”
Because of this anisotropy, hyperbolic metamaterials have a very unique dispersion relation between the frequency and wave vector ... «Physics, Oct 14»
6
Integrated circuits with silicon hybrid plasmonic waveguides
M. Fujii, J. Leuthold, W. Freude, Dispersion relation and loss of subwavelength confined mode of metal-dielectric-gap optical waveguides, IEEE ... «SPIE Newsroom, Oct 14»
7
A family of compact schemes with minimized dispersion and …
Moreover, the approximation dispersion relation (ADR) approach is employed to study the spectral properties of the hybrid scheme to yield the ... «Science Codex, Apr 14»
8
Achieving a Fermi level shift in graphene without an applied gate
This includes the appearance of new Dirac points, which represent regions of the dispersion relation in which electrons behave like massless ... «nanotechweb.org, Mar 14»
9
Confined Tamm plasmons for metal-semiconductor lasers
(b) Calculated electric field for a 4μm-diameter CTP structure. (c) Measured dispersion relation of the emission of a 4μm-diameter CTP structure ... «SPIE Newsroom, Oct 13»
10
Active terahertz waveguides based on transmission-line metamaterials
Figure 1 shows the calculated dispersion relation for a typical design with left-handed propagation below about 2.6THz and right-handed ... «SPIE Newsroom, Aug 13»

REFERENCE
« EDUCALINGO. Dispersion relation [online]. Available <https://educalingo.com/en/dic-en/dispersion-relation>. May 2024 ».
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