Using Conformal Maps to Explore the Potential of Wire Grids

Using Conformal Maps to Explore the Potential of Wire Grids. Dimofte, T.
abstract bibtex

This paper calculates and explores the electric potentials of wire grids1 sandwiched between conducting planes, using the technique of conformal mapping. The initial inspiration for the problem arose from some questions about the potential of wire grids placed in drift chamber particle detectors[B, BR, M]. What voltage should we apply to a certain grid to capture drifting electrons on it? What voltage should we apply to let the electrons pass through? Herein, we ﬁrst describe the general technique of using conformal maps to ﬁnd electric potentials. Then we ﬁnd the potentials of some generalized grids, and describe the accuracy of approximations we might use for inﬁnite grids. Finally, we apply our methods to attempt to model the grids of a real drift chamber.

@article{dimofte_using_nodate,
	title = {Using {Conformal} {Maps} to {Explore} the {Potential} of {Wire} {Grids}},
	abstract = {This paper calculates and explores the electric potentials of wire grids1 sandwiched between conducting planes, using the technique of conformal mapping. The initial inspiration for the problem arose from some questions about the potential of wire grids placed in drift chamber particle detectors[B, BR, M]. What voltage should we apply to a certain grid to capture drifting electrons on it? What voltage should we apply to let the electrons pass through? Herein, we ﬁrst describe the general technique of using conformal maps to ﬁnd electric potentials. Then we ﬁnd the potentials of some generalized grids, and describe the accuracy of approximations we might use for inﬁnite grids. Finally, we apply our methods to attempt to model the grids of a real drift chamber.},
	language = {en},
	author = {Dimofte, Tudor},
	pages = {27}
}

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