弱电鱼主动电定位的建模
Modeling active electrolocation in weakly electric fish
AI总结：
本文建立弱电鱼电定位的数学模型，通过多频测量提出非迭代定位算法，并实现目标电导率、介电常数和尺寸的分离重建。
摘要：
本文为弱电鱼的电定位提供了数学模型。我们首先研究了正向复电导率问题，并推导了鱼皮上的近似边界条件。然后，我们为远离鱼的小目标提供了偶极子近似。基于该近似，我们利用多频测量获得了一种非迭代位置搜索算法。我们通过数值实验展示了所提出的多频位置搜索算法的性能和稳定性。最后，对于圆盘形和椭圆形目标，我们提供了一种从多频测量中分别重建目标电导率、介电常数和尺寸的方法。
英文摘要：
In this paper, we provide a mathematical model for the electrolocation in weakly electric fishes. We first investigate the forward complex conductivity problem and derive the approximate boundary conditions on the skin of the fish. Then we provide a dipole approximation for small targets away from the fish. Based on this approximation, we obtain a non-iterative location search algorithm using multi-frequency measurements. We present numerical experiments to illustrate the performance and the stability of the proposed multi-frequency location search algorithm. Finally, in the case of disk- and ellipse-shaped targets, we provide a method to reconstruct separately the conductivity, the permittivity, and the size of the targets from multi-frequency measurements.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
