论文标题

使用白噪声提取周期性无损LC电路的分散

Extracting the Dispersion of Periodic Lossless LC Circuits Using White Noise

论文作者

Shiri, Daryoush, Isacsson, Andreas

论文摘要

光谱能密度(SED)方法用于获得分子动力学代码中材料的声子分散,例如lammps。我们展示了如何使用商用电路模拟器来完成SED方法的电类似物,以找到周期性无损LC电路的分散。本文的目的是(a)证明SED如何证明是有用的,是否应由于非线性或每个单位电池中的元素数量而计算电路的分散方法,以及(b)如何显示诸如Brillouin区域(BZ),电容结构(或band band),以及折叠的折叠,avo cortering,avo contried,avo contried and croptering,avo contried,avo contried and croptering,avo contried and cortering of avo contried,ava contruction(b)突出了声子和周期电路之间的类比。该类比还表明,可以使用商用电路模拟器对热设备,例如,可以模拟和理解热整流器。

The spectral energy density (SED) method is used to obtain the phonon dispersion of materials in molecular dynamics codes, e.g., LAMMPS. We show how the electric analog of the SED method can be done using commercial circuit simulators to find the dispersion of periodic lossless LC circuits. The purpose of this article is (a) to demonstrate how SED proves useful, should the analytic methods of calculating dispersion of a circuit render difficult e.g., due to nonlinearity or having large number of elements in each unit-cell, and (b) to show how the concepts like Brillouin zone (BZ), dispersion (or band structure), zone folding, gap formation, and avoided crossing can be taught to students of electrical engineering by highlighting the analogies between phonons and periodic circuits. This analogy also suggests that thermal devices, e.g., heat rectifiers can be simulated and understood using commercial circuit simulators.

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