multipole expansion वाक्य
उदाहरण वाक्य
मोबाइल
- This expansion is used to develop the normal multipole expansion.
- This yields the " multipole EXPANSION " of the electrostatic energy.
- You may find the mathematics of multipole expansion enlightening.
- See near and far field and multipole expansion.
- The multipole expansion is expressed as a sum of terms with progressively finer angular features.
- The multipole expansion will no longer terminate, but the higher terms will be small.
- The multipole expansion circumvents this difficulty by expanding not or, but or into spherical harmonics.
- Mathematically, the magnetic field of an object is often described in terms of a multipole expansion.
- Any of these terms can be present in the multipole expansion of an electric field, for example.
- In general, the fields of a source in a medium can be written as a multipole expansion.
- Multipole expansions are related to the underlying rotational symmetry of the physical laws and their associated differential equations.
- The distortion potential \ psi ( r, \ theta ) in Eq ( 10 ) is given by the multipole expansion
- The spherical Hankel functions appear in problems involving spherical wave propagation, for example in the multipole expansion of the electromagnetic field.
- A magnetic dipole is something whose magnetic field is predominantly or exactly described by the magnetic dipole term of the multipole expansion.
- It can be shown that, if the charge distributions of the two monomers overlap, the multipole expansion is formally divergent.
- This finds use in multipole expansions of the vector potential in electromagnetism, or the metric perturbation in the description of gravitational waves.
- If observation is confined to regions sufficiently remote from a system of charges, a multipole expansion of the exact polarization density can be made.
- This term appears as the second term in the multipole expansion of an arbitrary electrostatic potential ? ( "'r "').
- The " higher orders " correspond to further terms of the multipole expansion of a function on the sphere in terms of spherical harmonics.
- Very close to the source, the multipole expansion is less useful ( too many terms are required for an accurate description of the fields ).
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