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Circuit analogue of relativistic aberration of light using low-cost, low-complexity operational amplifier-based all-pass filters
European Journal of Physics ( IF 0.6 ) Pub Date : 2021-01-05 , DOI: 10.1088/1361-6404/abb56b
Benjamin B Dingel 1, 2 , Krystel Iris de Castro 3 , Jan Llenzl Dagohoy 3 , Nathaniel Libatique 2, 4 , Carlos Oppus 2, 4
Affiliation  

We propose, simulate, and experimentally demonstrate a circuit analogue of a special relativity phenomenon known as relativistic aberration of light (RAL) by using a surprisingly simple, low-cost, and easily accessible electronic circuit-based all-pass filter. This work is useful for two audiences: (i) physicists who are interested in research on circuit analogues; and (ii) physics educators who are interested in using the research results to raise interest among students by incorporating analogue-based learning into undergraduate physics lecture and laboratory courses. For the first type of audience, we present a rigorous theoretical framework describing this RAL-on-an-electronic-chip analogy. We show by (i) analytical modelling, (ii) commercial circuit software simulation, and (iii) experiment that the electrical phase shift Φ of the output signal is analogous to the RAL angle, Ψ. This parameter opens up a path among researchers to model the effects of other relativistic phenomena with electronic circuits. For the second type of audience, we discuss the potential role of RAL-on-an-electronic-chip in physics education (both in lectures and laboratory) that combines students’ learnings of both physics and electronic circuits, at the same time. We also explore briefly its relevance to engineering education.



中文翻译:

使用低成本,低复杂度,基于运算放大器的全通滤波器的相对论性光的电路模拟

我们提出,模拟并通过实验证明了一种特殊的相对论现象的电路类似物,即通过使用出乎意料的简单,低成本且易于访问的基于电子电路的全通滤波器,该现象被称为相对论光像差(RAL)。这项工作对两个听众有用:(i)对电路类似物的研究感兴趣的物理学家;(ii)物理教育工作者,他们有兴趣通过将基于模拟的学习纳入本科物理课和实验室课程中来利用研究结果来提高学生的兴趣。对于第一类观众,我们提供了描述此RAL-on-an-电子芯片类比的严格理论框架。我们通过(i)分析建模,(ii)商业电路软件仿真来展示,(iii)实验输出信号的电相移Φ与RAL角类似。该参数为研究人员提供了一条用电子电路对其他相对论现象的影响进行建模的途径。对于第二类观众,我们将讨论RAL-on-an-chip芯片在物理教育中的潜在作用(在讲座和实验室中),同时结合学生对物理和电子电路的学习。我们还将简要探讨其与工程教育的关系。我们将讨论RAL-on-an-chip芯片在物理教育中的潜在作用(在讲座和实验室中),同时结合学生对物理和电子电路的学习。我们还将简要探讨其与工程教育的关系。我们将讨论RAL-on-an-chip芯片在物理教育中的潜在作用(在讲座和实验室中),同时结合学生对物理和电子电路的学习。我们还将简要探讨其与工程教育的关系。

更新日期:2021-01-05
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