Modeling Results of On- and Off-time B and dB/dt for Time-domain Airborne EM Systems
Modeling Results of On- and Off-time B and dB/dt for Time-domain Airborne EM Systems
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DOI：
10.3997/2214-4609.20147788
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发表时间：
2008-06
期刊：
影响因子：
--
通讯作者：
C. Yin;Richard S. Smith;G. Hodges;P. Annan
中科院分区：
文献类型：
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作者：
C. Yin;Richard S. Smith;G. Hodges;P. Annan
机载时域EM建模通常使用发射电流与系统响应的卷积。然而，如果不特别注意系统响应的奇异性，在对开关时间磁感应强度B和磁感应强度时间导数dB/dt的建模中可能会出现严重的稳定性问题。本文通过对不同卷积模式的研究，选择了一种稳定的时域机载电磁系统响应建模算法，即机载电磁系统的阶跃响应通过高斯求积与发射电流进行卷积。该算法适用于任意发射波形，本文以半正弦波和梯形波为例进行了仿真。半空间模型的初步结果表明，B和dB/dt响应之间存在明显一致的积分-导数关系。
Airborne time-domain EM modeling generally uses the convolution of the transmitting current with the system responses. However, if no special attention is paid to the singularity of the system responses, serious stability problem may occur in the modeling of on-time and off-time magnetic induction B and time-derivative of magnetic induction dB/dt. In this paper, after a through investigation of different convolution modes, we choose a stable algorithm for modeling the responses of time-domain airborne EM systems, where the step response of the airborne EM system is calculated and convolved with the transmitting current by Gaussian quadratures. While the algorithm can be used for any arbitrary transmitting waveforms, we choose a half-sine and trapezoid wave as an example. The preliminary results for a half-space model show a clearly consistent integral-derivative relationship between the B and dB/dt responses.