多层环状导电媒质中离轴偶极子辐射场的级数解
SERIES SOLUTION OF THE ELECTROMAGNETIC FIELD EXCITED BY AN OFF-AXIS DIPOLE IN CIRCULARLY MULTILAYERED MEDIUM
-
摘要: 当偶极子源(电偶极子或磁偶极子)置于多层环状导电媒质中偏离轴线的任意一点时,所激发的电磁场既存在TE波又存在TM波。文中导出了各层媒质中电磁场的通解,用边界条件建立了系数传递矩阵,从而完全确定了电磁场表达式。计算实例中给出了一组离轴偶极子的响应曲线。Abstract: When a dipole source(electric dipole or magnetic dipole) is located at arbitrary point in circularly multilayered conductive medium,the electromagnetic fields excited by the source contain both TE and TM waves.The series solutions of the fields in very layer are derived analytically in this paper.A coefficient recurrence matrix is established by means of the boundary conditions.In such way,the expressions of fields can be degermined definitely.As a numerical example,a group of response curves of an off-axis source are given finally.
-
Gianzero S, Anderson B. Mathematical theory for the fields due to a finite a. c. coil in an infinite thick bed with an arbitrary number of co-axial layers. The Log Analyst, 1984, 25(2): 25-32.[2]Wait J R. General formulation of the induction logging problem for concentric layers about the borehoke. IEEE Trans. on Geoscience and Remote Sensing, 1984, GR-22(3): 34-42.[3]Chew W C. Waves and Fields in Inhomogeneous Media. Nen York: Van Nostrand Reinhokd 1990, 70-79.[4]徐建华编著.层状媒质中的电磁场与电磁波.北京:石油工业出版社,1997, 96-126.[5]张善杰,唐汉.任意实数阶复宗量第一类和第二类Bessel函数的精确解.电子学报,1996, 24(3): 77-81. -
计量
- 文章访问数: 2170
- HTML全文浏览量: 104
- PDF下载量: 507
- 被引次数: 0
下载:
