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In some cases, the boundary conditions resume to a simple interface condition. The most usual and simple example is a fully reflecting (electric wall) boundary - the outer medium is considered as a perfect conductor. In some cases, it is more complicated: for example, the reflection-less (i.e. open) boundaries are simulated as perfectly matched ...
Neumann boundary condition. In mathematics, the Neumann (or second-type) boundary condition is a type of boundary condition, named after Carl Neumann. [1] When imposed on an ordinary or a partial differential equation, the condition specifies the values of the derivative applied at the boundary of the domain.
In other cases, Maxwell's equations are solved in a finite region of space, with appropriate conditions on the boundary of that region, for example an artificial absorbing boundary representing the rest of the universe, [24] [25] or periodic boundary conditions, or walls that isolate a small region from the outside world (as with a waveguide or ...
The electromagnetism uniqueness theorem states the uniqueness (but not necessarily the existence) of a solution to Maxwell's equations, if the boundary conditions provided satisfy the following requirements: [1][2] At. t = 0 {\displaystyle t=0} , the initial values of all fields (E, H, B and D) everywhere (in the entire volume considered) is ...
e. In mathematics, the Robin boundary condition (/ ˈrɒbɪn /; properly French: [ʁɔbɛ̃]), or third type boundary condition, is a type of boundary condition, named after Victor Gustave Robin (1855–1897). [1] When imposed on an ordinary or a partial differential equation, it is a specification of a linear combination of the values of a ...
The near field and far field are regions of the electromagnetic (EM) field around an object, such as a transmitting antenna, or the result of radiation scattering off an object. Non-radiative near-field behaviors dominate close to the antenna or scatterer, while electromagnetic radiation far-field behaviors predominate at greater distances.
A boundary condition which specifies the value of the function itself is a Dirichlet boundary condition, or first-type boundary condition. For example, if one end of an iron rod is held at absolute zero, then the value of the problem would be known at that point in space. A boundary condition which specifies the value of the normal derivative ...
The internal fields and surface currents are chosen to enforce the boundary conditions. In electromagnetism, surface equivalence principle or surface equivalence theorem relates an arbitrary current distribution within an imaginary closed surface with an equivalent source on the surface. It is also known as field equivalence principle, [1 ...