Multipole radiation - Wikipedia
Multipole radiation is a theoretical framework for the description of electromagnetic or gravitational radiation from time-dependent distributions of distant sources. These tools are applied to physical phenomena which occur at a variety of length scales - from gravitational waves due to galaxy collisions to gamma radiation resulting from ...
Multipolarity of gamma radiation - Wikipedia
There are two kinds: electric and magnetic multipole radiation. Each of these, being electromagnetic radiation, consists of an electric and a magnetic field. Electric dipole, quadrupole, octupole… radiation (generally: 2 pole radiation) is also designated as E1, E2, E3,… radiation (generally: E radiation). [note 1]
Radiation - University of Virginia
57 Radiating Systems, Multipole Fields and Radiation Michael Fowler, UVa. Introduction. In this lecture, we'll analyze the electromagnetic fields radiated by a compact time-varying charge and current distribution. The radiated field amplitudes decay with distance as 1 / r.
Multipole expansions of gravitational radiation - Physical …
1980年4月1日 · This paper brings together, into a single unified notation, the multipole formalisms for gravitational radiation which various people have constructed. It also extends the results of previous workers.
*58 On to General Multipoles - University of Virginia
Jackson in 9.10 derives the electric and magnetic outgoing fields from a general multipole source, introducing the vector spherical harmonics, which appear in other fields, for example fluid dynamics. We review this below. Jackson goes on to find the energy and angular momentum radiated (we don’t do that here).
- [PDF]
Multipole Radiation
The concept of multipole radiation arises from the terms of the series (multipole) expansion for the electric and magnetic potentials. For example, for a distribution of electric charges with density r1r2, the electric potential at a point R far from the dis-tribution is given by 1R2 = 1 4p 0 a n=0 1 Rn+1 3 rnP n1cos 2r1r2 dr MR-1 where P
Consider a localized, oscillating source, located in otherwise empty space. We know that the solution for the vector potential (e.g. using the Green function for the outer boundary at infinity) is. These considerations mean that the entire source oscillates very nearly coherently. The characteristic time of one oscillation of the source,
We seek a more systematic treatment of the multipole expansion for radiation. The strategy will be to consider three regions: 1 Radiation zone: r ˛ ˛d. This is the region we have already considered for the dipole radiation. But we will see that there is a deeper connection between the usual multipole moments and the radiation at large distances
Multipole radiation from massive fields: Application to binary …
1994年6月15日 · A general multipole expansion for radiation from massive vector and scalar fields is developed for periodic sources. This formalism is then combined with data on the binary pulsar PSR 1913+16 to set limits on the electric charge of astrophysical bodies, and on the coupling strengths of new weak forces.
Multipole Radiation -- from Eric Weisstein's World of Physics
Let the radiated power of the nth multipole be denoted P(E_n) or P(B_n). Then E_n\propto {1\over r^{2+n}} P(E_n)\propto (kd)^{2 n}k^2 {P(M_n)\over P(E_n)}\propto {v^2\over c^2}. The strength of multipole radiation most commonly decreases in the following order: (1) electric dipole, (2) electric quadrupole, magnetic dipole, (3) electric octupole ...