Potential Field


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Potential Field

 

(also conservative field), a vector field whose circulation around any closed curve is equal to zero. If the potential field is a force field, this implies that the work done by the forces in going around a closed path is equal to zero. For a potential field a(M) there exists a single-valued function u(M), called the potential of the field, such as a = grad u. If the potential field is given in a simply connected region ft, then the potential of this field can be found from the formula

u = ∫AM (a,t) dl

in which AM is any smooth curve connecting the fixed point A of Ω with point M, t is the unit vector tangent to the curve AM, and l is the length of path AM as measured from point A. If a(M) is the potential field, then curl a = 0 (seeCURL). Conversely, if curl a = 0 and the field is given in a simply connected region and is differentiable, then a(M) is a potential field. Examples of potential fields are electrostatic fields, gravitational fields and velocity fields of irrotational flow.

References in periodicals archive ?
The obtained models of simulated rock types of the post-orogenic Taadikvere and anorogenic Abja and Sigula-like lithologies produced the best-matched models for the Luusika potential field anomaly as their density and magnetic susceptibility are comparable to those of the Luusika source body.
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Improved potential field method for unknown obstacle avoidance using UAV in indoor environment.
Table 1 compares the features of some recent potential field methods with the proposed DPF.
It is believed that the change of the potential is affected directly by the background potential field produced by the thundercloud which is almost linear at altitude 200~800 m.
No potential field was applied during Experiment A in order to isolate the differences between each control method.
APF (artificial potential field) is proposed to keep the formation of UAV team.
The topology potential field theory is an important branch of the field theory.
The above works have established the relationship between the routing of WSNs and potential field. But the routing decision is made according to only one attribute of the network based on the mathematical physics method.
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