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A qualitative Approach to the Non-Sinusoidal Skin and Proximity Effect in High Frequency Interconnections

机译:在高频互连中的非正弦皮肤和邻近效应的定性方法

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Continuing component dimension shrinking, associated with the dramatically increase of the operating frequency, require an improved modelling of the interconnection to include coupled electromagnetic and thermal effects. Among these, skin and proximity effects are essential in the thermal management of the package. Many electronic packages use as main signals, periodic sequence of rectangular pulses. In first part of this paper the influence of skin and proximity effects on the interconnection resistance when the current is a periodic sequence of rectangular pulses is reported. The non-sinusoidal skin effect is traditionally analysed by Fourier harmonic series. However slow convergent electromagnetic power series results. Series with accelerated convergence are used. These series are obtained by using a time-domain approach somehow similar to the transient analysis. Based on the non-sinusoidal skin depth concept, in the second part, it is presented a model for the evaluation of the increase factor of the resistance per unit length of the interconnection structures for the pulse duration /pulse repetition period ratio in the range 0.1 to 0.5. Due to the higher harmonic content of this non-sinusoidal wave form the skin depth decreases significantly compared with sinusoidal one especially for large durations of the pause between two consecutive pulses. This paper focuses to be better understanding of the higher frequency effects in modern interconnection techniques. This novel approach allows the optimization of the interconnection structures.
机译:继续组分尺寸缩小,与显着增加工作频率,需要改进的互连建模以包括耦合电磁和热效应。其中,皮肤和近似效应对于包装的热管理是必不可少的。许多电子包用作主信号,周期性矩形脉冲序列。在本文的第一部分中,报道了皮肤和接近效应对电流是矩形脉冲周期性序列时的互连电阻的影响。通过傅里叶谐波系列分析非正弦肌肤效果。然而,慢会聚电磁功率序列结果。使用加速收敛系列。通过使用时间域方法以某种方式类似于瞬态分析来获得这些系列。基于非正弦肤色深度概念,在第二部分中,呈现了评估互连结构的电阻增加因子的模型,用于脉冲持续时间/脉冲重复周期比范围为0.1 0.5。由于这种非正弦波的谐波含量较高,因此与诸如两个连续脉冲之间的暂停的大持续时间,皮肤深度显着降低。本文侧重于更好地了解现代互连技术中较高的频率效应。这种新方法允许优化互连结构。

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