Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Reciprocity_(electromagnetism)> ?p ?o }
- Reciprocity_(electromagnetism) abstract "This page is about reciprocity theorems in classical electromagnetism. See also Reciprocity theorem (disambiguation) for unrelated reciprocity theorems, and Reciprocity (disambiguation) for more general usages of the term.In classical electromagnetism, reciprocity refers to a variety of related theorems involving the interchange of time-harmonic electric current densities (sources) and the resulting electromagnetic fields in Maxwell's equations for time-invariant linear media under certain constraints. Reciprocity is closely related to the concept of Hermitian operators from linear algebra, applied to electromagnetism.Perhaps the most common and general such theorem is Lorentz reciprocity (and its various special cases such as Rayleigh-Carson reciprocity), named after work by Hendrik Lorentz in 1896 following analogous results regarding sound by Lord Rayleigh and Helmholtz (Potton, 2004). Loosely, it states that the relationship between an oscillating current and the resulting electric field is unchanged if one interchanges the points where the current is placed and where the field is measured. For the specific case of an electrical network, it is sometimes phrased as the statement that voltages and currents at different points in the network can be interchanged. More technically, it follows that the mutual impedance of a first circuit due to a second is the same as the mutual impedance of the second circuit due to the first.Reciprocity is useful in optics, which (apart from quantum effects) can be expressed in terms of classical electromagnetism, but also in terms of radiometry.There is also an analogous theorem in electrostatics, known as Green's reciprocity, relating the interchange of electric potential and electric charge density.Forms of the reciprocity theorems are used in many electromagnetic applications, such as analyzing electrical networks and antenna systems. For example, reciprocity implies that antennas work equally well as transmitters or receivers, and specifically that an antenna's radiation and receiving patterns are identical. Reciprocity is also a basic lemma that is used to prove other theorems about electromagnetic systems, such as the symmetry of the impedance matrix and scattering matrix, symmetries of Green's functions for use in boundary-element and transfer-matrix computational methods, as well as orthogonality properties of harmonic modes in waveguide systems (as an alternative to proving those properties directly from the symmetries of the eigen-operators).".
- Reciprocity_(electromagnetism) wikiPageExternalLink lorentz_vkaw_4_176_96.pdf.
- Reciprocity_(electromagnetism) wikiPageExternalLink 2up.
- Reciprocity_(electromagnetism) wikiPageExternalLink 2up.
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- Reciprocity_(electromagnetism) wikiPageWikiLink Alternating_current.
- Reciprocity_(electromagnetism) wikiPageWikiLink Angular_frequency.
- Reciprocity_(electromagnetism) wikiPageWikiLink Antenna_(radio).
- Reciprocity_(electromagnetism) wikiPageWikiLink Anti-Hermitian.
- Reciprocity_(electromagnetism) wikiPageWikiLink Bi-anisotropic_material.
- Reciprocity_(electromagnetism) wikiPageWikiLink Bi-isotropic_material.
- Reciprocity_(electromagnetism) wikiPageWikiLink Bidirectional_reflectance_distribution_function.
- Reciprocity_(electromagnetism) wikiPageWikiLink Boundary_element_method.
- Reciprocity_(electromagnetism) wikiPageWikiLink Category:Circuit_theorems.
- Reciprocity_(electromagnetism) wikiPageWikiLink Category:Electromagnetism.
- Reciprocity_(electromagnetism) wikiPageWikiLink Charge_density.
- Reciprocity_(electromagnetism) wikiPageWikiLink Circulator.
- Reciprocity_(electromagnetism) wikiPageWikiLink Compact_support.
- Reciprocity_(electromagnetism) wikiPageWikiLink Complex_amplitudes.
- Reciprocity_(electromagnetism) wikiPageWikiLink Complex_conjugate.
- Reciprocity_(electromagnetism) wikiPageWikiLink Conservation_of_energy.
- Reciprocity_(electromagnetism) wikiPageWikiLink Convolution.
- Reciprocity_(electromagnetism) wikiPageWikiLink Cross_product.
- Reciprocity_(electromagnetism) wikiPageWikiLink Current_(electricity).
- Reciprocity_(electromagnetism) wikiPageWikiLink Current_density.
- Reciprocity_(electromagnetism) wikiPageWikiLink Dipole.
- Reciprocity_(electromagnetism) wikiPageWikiLink Divergence_theorem.
- Reciprocity_(electromagnetism) wikiPageWikiLink Eigenvalue,_eigenvector_and_eigenspace.
- Reciprocity_(electromagnetism) wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Reciprocity_(electromagnetism) wikiPageWikiLink Electric_charge.
- Reciprocity_(electromagnetism) wikiPageWikiLink Electric_charge_density.
- Reciprocity_(electromagnetism) wikiPageWikiLink Electric_current.
- Reciprocity_(electromagnetism) wikiPageWikiLink Electric_field.
- Reciprocity_(electromagnetism) wikiPageWikiLink Electric_potential.
- Reciprocity_(electromagnetism) wikiPageWikiLink Electrical_conductivity.
- Reciprocity_(electromagnetism) wikiPageWikiLink Electrical_impedance.
- Reciprocity_(electromagnetism) wikiPageWikiLink Electrical_network.
- Reciprocity_(electromagnetism) wikiPageWikiLink Electrical_resistivity_and_conductivity.
- Reciprocity_(electromagnetism) wikiPageWikiLink Electromagnetic_field.
- Reciprocity_(electromagnetism) wikiPageWikiLink Electrostatics.
- Reciprocity_(electromagnetism) wikiPageWikiLink Faraday_isolator.
- Reciprocity_(electromagnetism) wikiPageWikiLink Global_illumination.
- Reciprocity_(electromagnetism) wikiPageWikiLink Greens_function.
- Reciprocity_(electromagnetism) wikiPageWikiLink Greens_identities.
- Reciprocity_(electromagnetism) wikiPageWikiLink Greens_second_identity.
- Reciprocity_(electromagnetism) wikiPageWikiLink Gustav_Kirchhoff.
- Reciprocity_(electromagnetism) wikiPageWikiLink Harmonic_(mathematics).
- Reciprocity_(electromagnetism) wikiPageWikiLink Harmonic_mode.
- Reciprocity_(electromagnetism) wikiPageWikiLink Helmholtz.
- Reciprocity_(electromagnetism) wikiPageWikiLink Hendrik_Lorentz.
- Reciprocity_(electromagnetism) wikiPageWikiLink Hermann_von_Helmholtz.
- Reciprocity_(electromagnetism) wikiPageWikiLink Hermitian_matrices.
- Reciprocity_(electromagnetism) wikiPageWikiLink Hermitian_matrix.
- Reciprocity_(electromagnetism) wikiPageWikiLink Hermitian_operator.
- Reciprocity_(electromagnetism) wikiPageWikiLink Impedance_parameters.
- Reciprocity_(electromagnetism) wikiPageWikiLink Inner_product.
- Reciprocity_(electromagnetism) wikiPageWikiLink Inner_product_space.
- Reciprocity_(electromagnetism) wikiPageWikiLink Integration_by_parts.
- Reciprocity_(electromagnetism) wikiPageWikiLink John_R._Carson.
- Reciprocity_(electromagnetism) wikiPageWikiLink John_Renshaw_Carson.
- Reciprocity_(electromagnetism) wikiPageWikiLink John_William_Strutt,_3rd_Baron_Rayleigh.
- Reciprocity_(electromagnetism) wikiPageWikiLink Kirchhoffs_law_of_thermal_radiation.
- Reciprocity_(electromagnetism) wikiPageWikiLink Linear_algebra.
- Reciprocity_(electromagnetism) wikiPageWikiLink Lord_Rayleigh.
- Reciprocity_(electromagnetism) wikiPageWikiLink Magnetic_field.
- Reciprocity_(electromagnetism) wikiPageWikiLink Magnetic_permeability.
- Reciprocity_(electromagnetism) wikiPageWikiLink Magneto-optic.
- Reciprocity_(electromagnetism) wikiPageWikiLink Magneto-optic_effect.
- Reciprocity_(electromagnetism) wikiPageWikiLink Max_Planck.
- Reciprocity_(electromagnetism) wikiPageWikiLink Maxwells_equations.
- Reciprocity_(electromagnetism) wikiPageWikiLink Mutual_impedance.
- Reciprocity_(electromagnetism) wikiPageWikiLink Nonlinear_optics.
- Reciprocity_(electromagnetism) wikiPageWikiLink Normal_mode.
- Reciprocity_(electromagnetism) wikiPageWikiLink Ohms_law.
- Reciprocity_(electromagnetism) wikiPageWikiLink Optical_isolator.
- Reciprocity_(electromagnetism) wikiPageWikiLink Optics.
- Reciprocity_(electromagnetism) wikiPageWikiLink Orthogonality.
- Reciprocity_(electromagnetism) wikiPageWikiLink Permeability_(electromagnetism).
- Reciprocity_(electromagnetism) wikiPageWikiLink Permittivity.
- Reciprocity_(electromagnetism) wikiPageWikiLink Phasor.
- Reciprocity_(electromagnetism) wikiPageWikiLink Plancks_law.
- Reciprocity_(electromagnetism) wikiPageWikiLink Plane_wave.
- Reciprocity_(electromagnetism) wikiPageWikiLink Planewave.
- Reciprocity_(electromagnetism) wikiPageWikiLink Poissons_equation.
- Reciprocity_(electromagnetism) wikiPageWikiLink Polarization_(waves).
- Reciprocity_(electromagnetism) wikiPageWikiLink Poynting_vector.
- Reciprocity_(electromagnetism) wikiPageWikiLink Poyntings_theorem.
- Reciprocity_(electromagnetism) wikiPageWikiLink Radiance.
- Reciprocity_(electromagnetism) wikiPageWikiLink Radiation_pattern.
- Reciprocity_(electromagnetism) wikiPageWikiLink Radio_frequency.
- Reciprocity_(electromagnetism) wikiPageWikiLink Radiometry.
- Reciprocity_(electromagnetism) wikiPageWikiLink Reciprocity.
- Reciprocity_(electromagnetism) wikiPageWikiLink Reciprocity_(disambiguation).
- Reciprocity_(electromagnetism) wikiPageWikiLink Reciprocity_theorem.
- Reciprocity_(electromagnetism) wikiPageWikiLink Reciprocity_theorem_(disambiguation).
- Reciprocity_(electromagnetism) wikiPageWikiLink Ronold_W._P._King.
- Reciprocity_(electromagnetism) wikiPageWikiLink Scalar_(physics).