A Conducting Checkerboard
نویسندگان
چکیده
Phase 1, with electrical conductivity σ1, occupies the “bowtie” region of angle ±α, while phase 2, with conductivity σ2 σ1, occupies the remaining region. Deduce the approximate form of lines of current density J when a background electric field is applied along the symmetry axis of phase 1. What is the effective conductivity σ of the system, defined by the relation I = σΔφ between the total current I and the potential difference Δφ across the system? It suffices to consider the case that the boundary arc (r = a, |θ| < α) is held at electric potential φ = 1, while the arc (r = a, π − α < |θ| < π) is held at electric potential φ = −1, and no current flows across the remainder of the boundary.
منابع مشابه
Defect Parameter Extraction in Backend Process Steps Using a Multilayer Checkerboard Test Structure
To control defect appearance in numerous conducting layers of backend process steps, a novel multilayer checkerboard test structure (MCTS) is presented. The Separation and localization of defects causing electrically detectable intralayer short circuits as well as interlayer short circuits will be achieved by dividing the chip area into distinguishable small subchips inside given standard bound...
متن کاملسیستمهای الکترونی همبسته قوی در شبکههای ناکام
We give an overview of recent work on charge degrees of freedom of strongly correlated electrons on geometrically frustrated lattices. Special attention is paid to the checkerboard lattice, i.e., the two-dimensional version of a pyrochlore lattice and to the kagomé lattice. For the checkerboard lattice it is shown that at half filling when spin degrees of freedom are neglected and at quarter f...
متن کاملMethods for Avoiding the Checkerboard Distortion Caused by Finite Word Length Error in Multirate System
We propose two methods for avoiding the checkerboard distortion which is caused by finite word length error. The first method is deriving a bit length of filter taps required for avoiding the checkerboard distortion under a certain word length. In the second method, the checkerboard distortion can be avoided by using the cascade structure which consist of zero-hold kernel and a time-invariant f...
متن کاملAsymptotic capacity of two-dimensional channels with checkerboard constraints
A checkerboard constraint is a bounded measurable set 2, containing the origin. A binary labeling of the 2 lattice satisfies the checkerboard constraint if whenever 2 is labeled 1, all of the other 2-lattice points in the translate + are labeled 0. Two-dimensional channels that only allow labelings of 2 satisfying checkerboard constraints are studied. Let ( ) be the area of , and let ( ) mean t...
متن کاملCheckerboard Tracker for Camera Calibration
The checkerboard extraction process is an important pre-preprocessing step in camera calibration. This project attempts to implement the checkerboard extraction processes using methods learned from EE368. This includes the isolation of the checkerboard using morphological operations. The benefit of the approach is that it is efficient since morphological operations can be implemented efficientl...
متن کامل