长方体ΔT场及其梯度场无解析奇点理论表达式

CUBOID ΔΤ AND ITS GRADIENT FORWARD THEORETICAL EXPRESSIONS WITHOUT ANALYTIC ODD POINTS

首次明确指出文献中长方体ΔT场及其梯度场理论表达式在上半无源空间存在某些点的场值无法计算的解析“奇点”问题 .通过详细的理论推导 ,深入分析了出现解析“奇点”的原因 ,并在此基础上导出新的长方体ΔT场及其梯度场在上半无源空间无解析“奇点”的理论表达式 .对比模型正演计算结果表明 ,新导出的ΔT场及其梯度场无解析“奇点”

For the first time we point out that the analytic odd points,at which the values cannot be obtained in the upper non-source semi-space,exist in the original cuboid ΔT and its gradient forward theoretical expressions.Through detailed formula deduction and discussion on the cause the analytic odd points exist,we deduce a new cuboid ΔT and its gradient forward theoretical expressions without analytic odd points.Comparison with forward calculation of models shows that,these new expressions are correct.