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Method of approximating the properties of a composite material
In materials science, effective medium approximations (EMA) or effective medium theory (EMT) pertain to analytical or theoretical modeling that describes
Effective medium approximations
Effective_medium_approximations
Topics referred to by the same term
Mexicana Americana, a school in Mexico City Ema (underground car) Effective medium approximations, modeling that describes the macroscopic properties of composite
EMA
Type of electromagnetic metamaterial
frequency. The inclusions can then be evaluated by using an effective medium approximation. PMs display a magnetic response with useful magnitude at optical
Photonic_metamaterial
Concept of uniform or non-uniform in an object's composition or attributes
being heterogeneous on a smaller scale. This is known as an effective medium approximation. Various disciplines understand heterogeneity, or being heterogeneous
Homogeneity_and_heterogeneity
discussion over whether this is appropriate in metamaterials where effective medium approximations for μ are used, and debate over the reality of "negative permeability"
Spatial_dispersion
Optical coating that reduces reflection
reduced reflection. To calculate reflection in this case, effective medium approximations can be used. To minimize reflection, various profiles of pyramids
Anti-reflective_coating
Analysis of composite materials
Self-Consistent Schemes - Effective medium approximations based on Eshelby's elasticity solution for an inhomogeneity embedded in an infinite medium. Uses the material
Micromechanics
American atmospheric scientist (1959–2020)
work before passing involved the first-principles analysis of effective medium approximations in remote sensing. During his career, Mishchenko published
Michael_I._Mishchenko
Determining all voltages and currents within an electrical network
messy impedance combinations as the network becomes larger. Effective medium approximations: For a network consisting of a high density of random resistors
Network analysis (electrical circuits)
Network_analysis_(electrical_circuits)
Method to determine the electronic structure of strongly correlated materials
_{n})} denotes the lattice self-energy. The only DMFT approximations (apart from the approximation that can be made in order to solve the Anderson model)
Dynamical_mean-field_theory
Method of studying partial differential equations
{x}}/\epsilon )} . Asymptotic analysis Γ-convergence Mosco convergence Effective medium approximations Sanchez-Palencia, E. (1980). Non-Homogeneous Media and Vibration
Asymptotic_homogenization
Form of the chemical element silicon
indices of Si and the medium inside the pores. Effective refractive index of PS can be modelled by means of effective medium approximations (EMA). Usually generalised
Porous_silicon
Approximation in many-body systems
bare Coulomb interaction. This is because the screening of the medium reduces the effective strength of the Coulomb interaction: for example, if one places
GW_approximation
Method for computing radiation
^{\mathrm {inc} }-\mathbf {A} \cdot \mathbf {P} } through successive approximations of the polarization vector P {\displaystyle \mathbf {P} } . Among the
Discrete_dipole_approximation
Threshold of percolation theory models
percolation cluster Bootstrap percolation Directed percolation Effective medium approximations Epidemic models on lattices Graph theory Network science Percolation
Percolation_threshold
system. The Green's function obtained via the CPA then describes an effective medium whose scattering properties represent the averaged scattering properties
Coherent potential approximation
Coherent_potential_approximation
Soviet physicist (1908–1996)
electrodynamics and effective medium theory. The Rytov number for laser propagation in the atmosphere and the Rytov approximation for wave propagation
Sergei_Rytov
The grey atmosphere (or gray) is a useful set of approximations made for radiative transfer applications in studies of stellar atmospheres (atmospheres
Grey_atmosphere
Characteristic of an optical system
\mathrm {NA} =n\sin \theta ,} where n is the index of refraction of the medium in which the lens is working (1.00 for air, 1.33 for pure water, and typically
Numerical_aperture
Rapid oscillations of electron density
electron effective mass, and ε 0 {\displaystyle \varepsilon _{0}} is the vacuum permittivity. This assumes infinite ion mass, a good approximation since
Plasma_oscillation
Theory of laser diodes
account exactly because of the high number of particles involved. Various approximations can be made: Free carrier model: In simple models, many-particle interactions
Semiconductor_laser_theory
Energy transfer in the form of electromagnetic radiation
form of electromagnetic radiation. The propagation of radiation through a medium is affected by absorption, emission, and scattering processes. The equation
Radiative_transfer
{\displaystyle \omega } , and let T {\displaystyle ~T~} be the effective temperature of the medium. The McCumber relation is (1) σ e ( ω ) σ a ( ω ) exp ( ℏ
McCumber_relation
Speed of sound wave through elastic medium
travelled per unit of time by a sound wave as it propagates through an elastic medium. More simply, the speed of sound is how fast vibrations travel. At 20 °C
Speed_of_sound
Sequence of operations for a task
impractical (see heuristic method below). For some problems, the fastest approximations must involve some randomness. Whether randomized algorithms with polynomial
Algorithm
American chemical engineer
L. E; Davis, H. Ted (1983). "Real-space renormalization and effective-medium approximation to the percolation conduction problem". Physical Review B. 28
Howard Davis (chemical engineer)
Howard_Davis_(chemical_engineer)
nuclei (up to four nucleons) or by employing certain well-controlled approximations for heavier nuclei. Ab initio methods constitute a more fundamental
Ab initio methods (nuclear physics)
Ab_initio_methods_(nuclear_physics)
Scattering of an electromagnetic plane wave by a sphere
the wavelength of the scattered light there are simple and accurate approximations that suffice to describe the behavior of the system. But for objects
Mie_scattering
Theory of soil consolidation and effective stress
quantifiable changes in stress to a porous medium are a direct result of a change in effective stress. The effective stress, σ e f f {\displaystyle {\boldsymbol
Terzaghi's_principle
Formula for radiative heat transfer
radiative transfer (energy transfer via electromagnetic radiation) through a medium in local thermodynamic equilibrium that both absorbs and emits radiation
Schwarzschild's equation for radiative transfer
Schwarzschild's_equation_for_radiative_transfer
difficult to solve without introducing approximations. A common approximation summarized here is the diffusion approximation. Overall, solutions to the diffusion
Radiative transfer equation and diffusion theory for photon transport in biological tissue
Radiative_transfer_equation_and_diffusion_theory_for_photon_transport_in_biological_tissue
Concept in astrophysics
obscuration. Optical depth can therefore be thought of as the opacity of a medium. The extinction coefficient α {\displaystyle \alpha } can be calculated
Optical_depth_(astrophysics)
Geological concept
{i}&0\\0&0&0&0&0&e_{i}\\\end{bmatrix}}} The elastic moduli for the effective medium will be C e f f _ _ = [ A A − 2 E B 0 0 0 A − 2 E A B 0 0 0 B B C 0
Transverse_isotropy
Material with a negative refractive index
metals and dielectrics it is made from. Hence, the NIM has become an effective medium. Also, in effect, this metamaterial has become an "ordered macroscopic
Negative-index_metamaterial
Signal attenuation in telecommunications
For practical cases the path loss is calculated using a variety of approximations. Statistical methods (also called stochastic or empirical) are based
Path_loss
{\displaystyle ~\sigma _{\rm {a}}~} are effective emission and absorption cross-sections. In the case of non-pumped medium, the gain is negative. Round-trip
Gain_(laser)
Thermal electromagnetic radiation
Graphite and lamp black have emissivities greater than 0.95, and are good approximations to an ideal black material. Experimentally, black-body radiation may
Black-body_radiation
Spectral linewidth of a laser beam
theoretically the linewidth of their device by making the reasonable approximations that their ammonia maser is a true continuous-wave (CW) maser, is a
Laser_linewidth
Type of internal combustion engine that uses compression to create combustion
output of medium-speed diesel engines can be as high as 21,870 kW, with the effective efficiency being around 47-48% (1982). Most larger medium-speed engines
Diesel_engine
Approximation method in quantum physics
inability to capture London dispersion. Relaxation of the last two approximations give rise to many so-called post-Hartree–Fock methods. The variational
Hartree–Fock_method
Parameter characterizing an AC conductor
capacitance, and inductance have little meaning and are not used, and the medium is characterized by its index of refraction ν = c / v p = ϵ r μ r {\displaystyle
Electrical_length
Measure of how strongly an optical system converges or diverges light
related concepts that are referred to as focal lengths: Effective focal length (EFL) The effective focal length is the inverse of the optical power of an
Focal_length
Substance-specific relation between two physical quantities
conglomerates and laminates) are based upon approximation of an inhomogeneous material by a homogeneous effective medium (valid for excitations with wavelengths
Constitutive_equation
Non-SI unit measuring absorbed dose of ionizing radiation
ionizing energy of a standard medium, which is ambiguous in the latest NIST definition. Even where the standard medium is fully defined, the ionizing
Rad_(radiation_unit)
Powder used to add or alter colour
nearly or completely insoluble and chemically unreactive in water or another medium; in contrast, dyes are colored substances which are soluble or go into solution
Pigment
Ammunition type for tanks
armour-piercing discarding sabot (APDS) ammunition, which is still used in small or medium caliber weapon systems. Improvements in automotive propulsion and suspension
Armour-piercing fin-stabilized discarding sabot
Armour-piercing_fin-stabilized_discarding_sabot
Branch of astronomy
theorie, discrete dipole approximation, or even microwave analog experiments. Solar radiation pressure reduces the effective force of gravity on a dust
Dust_astronomy
Fundamental theorem in condensed matter physics
periodic medium. For example, a periodic dielectric structure in electromagnetism leads to photonic crystals, and a periodic acoustic medium leads to
Bloch's_theorem
Mathematical and computational problem
large, medium, small, and tiny, corresponding to items with size > 1/2 bin, > 1/3 bin, > 1/6 bin, and smaller items respectively. Its approximation guarantee
Bin_packing_problem
Equations of light transmission and reflection
rather than rigorously computing the effective reflection coefficient for each angle, Schlick's approximation is often used. For the case of normal incidence
Fresnel_equations
Optical device which transmits and refracts light
index of the material of the surface, n1 is the refractive index of medium (the medium other than the spherical surface material), u {\textstyle u} is the
Lens
Quantum mechanical phenomenon
in both directions. There can be more mediums and barriers, and the barriers need not be discrete. Approximations are useful in this case. A classical
Quantum_tunnelling
Simplification of a physical system into a network of discrete components
heat transferred through any medium is the quotient of the temperature change and the total thermal resistance of the medium. As an example, consider a
Lumped-element_model
Branch of physics about magnetism in systems with steady electric currents
referred to as an effective charge density ρ M {\displaystyle \rho _{M}} . The vector potential method can also be employed with an effective current density
Magnetostatics
Electromagnetic radiation humans can see
macroscopic phenomena, such as baseballs or ocean waves). Instead, under some approximations light can be described sometimes with mathematics appropriate to one
Light
Interference phenomenon of waves
for diffraction based on the concepts proposed by Fresnel as well as approximations needed to apply them. In general, all these approaches require formulating
Diffraction
Property of space that quantifies the magnetic influence at a given location
magnet (SI unit: ampere-meter), μ is the permeability of the intervening medium, and r is the separation distance between the 2 poles. Note that for 2 magnets
Magnetic_field
Particle motion in a non-uniform electric field due to dipole-field interactions
electric fields. However, the strength of the force depends strongly on the medium and particles' electrical properties, on the particles' shape and size,
Dielectrophoresis
Device that converts a digital signal into an analog signal
high-resolution type, while the video DAC is a high-frequency low- to medium-resolution type. There are several DAC architectures; the suitability of
Digital-to-analog_converter
Subtractive color model used in printing
black ink produces more consistent dark tones. Black ink is more cost-effective than combining three colored inks. A dark area printed with CMY and then
CMYK_color_model
Damping of electric fields
We consider two possible approximations, under which the two quantities are proportional: the Debye–Hückel approximation, valid at high temperatures
Electric-field_screening
Visualisation method for hierchical data
Ben; Wattenberg, Martin (2002). "Ordered and quantum treemaps: Making effective use of 2D space to display hierarchies" (PDF). ACM Transactions on Graphics
Treemapping
Aesthetic quality of blur in the out-of-focus parts of an image
situations that produce shallow depth of field. Good bokeh is also important for medium telephoto lenses (typically 85–150 mm on 35 mm format). When used in portrait
Bokeh
Device that transmits and receives radio waves
modelling, but they continue to be a widely used source of useful, simple approximations that describe well the impedance profiles of antennas. Unlike transmission
Antenna_(radio)
American painter
the standard Fibonacci sequence provides the best possible rational approximations to the golden ratio for numbers of a given size.[clarification needed]
Jay_Hambidge
Vast empty spaces between filaments with few or no galaxies
highly concentrated zones where walls meet and intersect, adding to the effective size of the local wall. Filaments – the branching arms of walls that can
Void_(astronomy)
calculations. In subsequent works Baeurle et al. developed effective low-cost approximation methods based on the tadpole renormalization procedure, which
Polymer_field_theory
Measure of electrostatic effect and how far it persists
\varepsilon } is the medium's permittivity, and ρ ext {\displaystyle \rho _{\text{ext}}} is any static charge density that is not part of the medium. The mobile
Debye_length
Theoretical satellite collision cascade
minimal risk for launches continuing past LEO, or satellites travelling at medium Earth orbit (MEO) or geosynchronous orbit (GEO). The catastrophic scenarios
Kessler_syndrome
Relation of wavelength/wavenumber as a function of a wave's frequency
relations describe the effect of dispersion on the properties of waves in a medium. A dispersion relation relates the wavelength or wavenumber of a wave to
Dispersion_relation
1985 film by Stuart Gordon
It's the only way to run a smooth scenario, or to tell a good story—in any medium". In their book Lurker in the Lobby: A Guide to the Cinema of H. P. Lovecraft
Re-Animator
Measure of positive and negative charges
permittivity. A more complex model of the point charge array introduces an effective medium by averaging the microscopic charges; for example, the averaging can
Electric_dipole_moment
Method in computational chemistry
9-decadiene can serve as a good approximations of the bilayer interior, whereas 1-octanol was a very poor approximation. A set of solvation parameters
Implicit_solvation
Model of electrically conducting fluids
closure approximation must be applied to the highest moment of the particle distribution equation. This is often accomplished through approximations to the
Magnetohydrodynamics
Multipath radio propagation model
An approximation to critical distance may be obtained by setting Δφ to π as the critical distance to a local maximum. The above approximations are valid
Two-ray ground-reflection model
Two-ray_ground-reflection_model
Device used to measure the amount of light
will cause a medium tone to be recorded as a medium tone, and a reflected-light meter will cause whatever is metered to be recorded as a medium tone. What
Light_meter
Method for approximating many-body systems
electron correlation. Some of the most accurate calculations for small to medium-sized molecules use this method. The method was initially developed by Fritz
Coupled_cluster
Passive heat exchanger that transfers heat
transfers the heat generated by an electronic or a mechanical device to a fluid medium, often air or a liquid coolant, where it is dissipated away from the device
Heat_sink
Method in computational chemistry
form being unclear, we, therefore, must introduce approximations. There are several valid approximations, the first was the HyperNetted Chain (HNC), which
Solvent_model
Physical model of propagating energy
2021. Kinsler, Paul (2010). "Optical pulse propagation with minimal approximations". Phys. Rev. A. 81 (1) 013819. arXiv:0810.5689. Bibcode:2010PhRvA..81a3819K
Electromagnetic_radiation
Percentage of a sum of money charged for its use
generally given as percentage increases, the formulae above are (linear) approximations. For instance, i n = i r + p e {\displaystyle i_{n}=i_{r}+p_{e}\,\!}
Interest_rate
Monetary principle
medium of exchange. In 2009, hyperinflation in Zimbabwe began to show similar characteristics. Those examples show that in the absence of effective legal
Gresham's_law
Equation of statistical mechanics
effects of quantum mechanics and general relativity. In the very dense medium formed by the primordial plasma after the Big Bang, particles are continuously
Boltzmann_equation
Six points which determine imaging properties of an optical system
take the rear focal length f′ and divide it by the image medium index, which gives the effective focal length (EFL) of the lens. The EFL is the distance
Cardinal_point_(optics)
Removable disk storage medium
other sizes are defined in millimeters, their names being but rough approximations. Different sizes of floppy disks are mechanically incompatible, and
Floppy_disk
Correlation between galaxy mass and chemical abundance
baryonic matter between galaxies, their circumgalactic medium, and the wider intergalactic medium. In astronomy, a metal is any chemical element heavier
Mass–metallicity_relation
Process of mapping a continuous set to a countable set
limits of the bit rate supported by a communication channel or storage medium. The analysis of quantization in this context involves studying the amount
Quantization (signal processing)
Quantization_(signal_processing)
Measure of firm's market power
"Application of the Lerner index to the assessment of competition in small and medium-sized business in lending market of Russia" was published. They analyzed
Lerner_index
Human-caused changes to climate on Earth
wildfires have been attributed to human-induced climate change in some regions (medium to high confidence)" IPCC SROCC 2019, p. 16: "Over the last decades, global
Climate_change
Optical device for recording images
cameras provide real-time, exact imaging through the lens. Large-format and medium-format cameras offer higher image resolution and are often used in professional
Camera
Tendency of AC current flow in a conductor's outer layer
less skin depth. Skin effect reduces the effective cross-section of the conductor and thus increases its effective resistance. At 60 Hz in copper, skin depth
Skin_effect
hardware device that converts data into a format suitable for a transmission medium so that it can be transmitted from one computer to another (historically
Glossary_of_computer_science
Two separate velocities in machine tool practice, cutting speed and feed rate
conditions are a tool life of 1 hour, dry cutting (no coolant), and at medium feeds, so they may appear to be incorrect depending on circumstances. These
Speeds_and_feeds
Measurement of radiation exposure
to be employed with exposures of x or γ radiation, but did not state the medium to be ionized. The CIPM's current SI brochure does not list the roentgen
Roentgen_(unit)
Social deduction game
the Mafia to win and wish to be converted). The Medium function varies, for example see summarized 'Medium-enabled seance' rules from Werewolf at: "boredgamegeeks"
Mafia_(party_game)
Ray tracing technique
As a result, if the input and output planes are located within the same medium, or within two different media which happen to have identical indices of
Ray_transfer_matrix_analysis
Spectral density of light emitted by a black body
transition formula depends on dipole moment operator. For higher order approximations, it involves quadrupole moment and other similar terms. The A and B
Planck's_law
Class of computational fluid dynamics methods
equation are solved to predict the phase behavior as a continuous (Eulerian) medium, and is applicable for arbitrary Knudsen number ( K n ) {\displaystyle (Kn)}
Quadrature based moment methods
Quadrature_based_moment_methods
Quasiparticle in condensed matter physics
extensive investigations. Despite the lack of an exact solution, some approximations of the polaron properties are known. The physical properties of a polaron
Polaron
Study of an economy as a whole
These factors move slowly, so that it is a reasonable approximation to take them as given on a medium-term time scale, though labour market policies and
Macroeconomics
EFFECTIVE MEDIUM-APPROXIMATIONS
EFFECTIVE MEDIUM-APPROXIMATIONS
Girl/Female
Hindu, Indian, Marathi, Sanskrit
Effective; Efficient; Goddess Durga
Girl/Female
Muslim
Holy city of saudi arabia
Boy/Male
Tamil
Form of God, Effective
Girl/Female
Indian
Holy city of saudi arabia
Surname or Lastname
English
English : from a nickname for a physician.
Girl/Female
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Telugu
The Earth
Boy/Male
Muslim
Worker. Effective.
Girl/Female
Sikh
Form of God, Effective
Boy/Male
Arabic, Indian, Muslim, Sindhi
Doer; Work Man; Worker; Effective
Girl/Female
Arabic, Australian, British, Danish, English, Hebrew
City of the Prophet; In Medina Mohammad Began his Campaign to Establish Islam
Boy/Male
Muslim Hindi
Worker. Effective.
Boy/Male
Indian
Medium
Boy/Male
Anglo, Australian, Hindu, Indian, Kurdish, Punjabi, Sikh
Pain; Effective
Girl/Female
Arabic
City of the Prophet. In Medina Mohammed began his campaign to establish Islam.
Boy/Male
Hindu, Indian, Marathi
Effective; Powerful
Girl/Female
Christian, Gujarati, Hindu, Indian, Kannada, Marathi, Sindhi, Telugu
Wished-for Child
Boy/Male
Indian, Punjabi, Sikh
Earth
Boy/Male
Hindu, Indian
Effective
Boy/Male
Hindu
Form of God, Effective
Boy/Male
Indian
EFFECTIVE MEDIUM-APPROXIMATIONS
EFFECTIVE MEDIUM-APPROXIMATIONS
EFFECTIVE MEDIUM-APPROXIMATIONS
EFFECTIVE MEDIUM-APPROXIMATIONS
EFFECTIVE MEDIUM-APPROXIMATIONS
EFFECTIVE MEDIUM-APPROXIMATIONS
EFFECTIVE MEDIUM-APPROXIMATIONS