A Uniqueness Theorem for Initial-Boundary Value Problems in Tellegen Medium

Question

1. What have the authors contributed in "A uniqueness theorem for initial-boundary value problems in tellegen medium" ?

2. What is the important direction for generalization of the electromagnetic theory?

3. How did Lindell and Sihvola interpret the classical Gibbsian vectors?

4. What is the common form of electricity?

Accepted Answer

Uniqueness of the initial-boundary value problems for a Tellegen media is studied.

Accepted Answer

Bi-Isotropic (in short BI-) media is one of the most important directions for generalization of the electromagnetic theory [2] in order to understand the phenomena like optical activity (rotation of the polarization plane of polarized light), electromagnetic activity (rotation of the polarization plane of polarized electromagnetic waves at large wave lengths), magnetoelectric activity (magnetic field created by an electric field).

Accepted Answer

Lindell and Sihvola [12], using differential-form representation of the Maxwell equations, interpreted the classical Gibbsian vectors as a bi-isotropic medium with certain values of the constitutive parameters.

Accepted Answer

one of the most common form electricity existed on earth even before any kind of life form appeared, and has been one the major factor affecting almost every aspect in nature.

Accepted Answer

Observations and experimentations with the electrostatic properties of “amber” and the magnetic properties of “magnetite” started in ancient times.

Accepted Answer

Let V be a bounded region in a 3D Euclidean space with a boundary S. The boundary is assumed to be smooth enough such that it is possible to define a unique normal at every point on the surface.

Accepted Answer

It is well-known that an initial boundary-value problem defined by a mathematical model for a class of physical problems is said to be well-posed if there exists a solution to a initial boundary-value problem, if the initial boundaryvalue problem has only one solution, and the solution is stable (i.e., is continuously dependent on the data).

Accepted Answer

An initial-boundary value problem defined for a linear, homogeneous, Tellegen medium is to find a set of vector fields (the electromagnetic field){

Accepted Answer

In the subsequent section, the conditions under which the energy stored due to fields is positive definite is give, and it is followed by a uniqueness theorem for the initial-boundary value problem.

Accepted Answer

Lindell and Wallén [16] presented the constitutive equation for the bi-anisotropic medium as a relation between the two electromagnetic two-forms through a medium dyadic of the Hodge type using concepts of Gibbsian vector analysis.

Accepted Answer

He created a new passive circuit element which he called gyrator for this purpose [5] and suggested a constitutive relation to explain the magneto-electric effect in materials.

Accepted Answer

E( r, t), D( r, t), B( r, t), H( r, t) are used to denote the electric field, the electric flux density, the magnetic flux density, and the magnetic field, respectively.

Accepted Answer

Zhang and Zheng [19] established an algebraic eigenvalue problem for analyzing the propagation characteristics of electromagnetic waves inside the PBG Structure consisting of complex medium by using Bloch theorem and plane wave expansion.

A Uniqueness Theorem for Initial-Boundary Value Problems in Tellegen Medium

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Most frequently asked questions

1. What have the authors contributed in "A uniqueness theorem for initial-boundary value problems in tellegen medium" ?

2. What is the important direction for generalization of the electromagnetic theory?

3. How did Lindell and Sihvola interpret the classical Gibbsian vectors?

4. What is the common form of electricity?

5. What is the history of the earth?

6. What is the definition of the initial boundary value problem?

7. What is the description of the Gibbsian vectors?

8. What is the definition of an initial-boundary value problem?

9. What is the first section of the definition of initial boundary value problems?

10. What is the eigenvalue problem for analyzing the bi-anisotropic medium?

11. What was the name of the passive circuit element?

12. What are the constitutive equations for BI media?

13. What is the eigenvalue problem for analyzing the propagation characteristics of electromagnetic waves inside?

Citations

A Dynamical Theory of the Electromagnetic Field

Magneto-electro-elastic effective properties of multilayered artificial multiferroics with arbitrary lamination direction

Effects of bi-isotropic coatings and bi-isotropic background media upon gain characteristics of an axially slotted cylinder

Scattering characteristics of a cylindrical reflector covered with a general bi-isotropic layer.

Gain manipulation of a slotted sphere using general bi-isotropic coating.

References

Electromagnetic Waves in Chiral and Bi-Isotropic Media

A Dynamical Theory of the Electromagnetic Field

A Dynamical Theory of the Electromagnetic Field

Perfect Electromagnetic Conductor

Electromagnetic Waves in Bi-Isotropic and Chiral Media

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