复惠斯原理研究

Formulation of the Complex Huygens′Principle

给出了用分布在闭合曲面上的球面子波或复源点，表示三维波传播问题的数学公式。即实惠更斯原理和复惠更斯原理的数学表示。其中实惠更斯原理的数学表示说明惠更斯原理的次级点源假说是可行的，而不必如Ｍｉｌｌｅｒ（１９９１）所认为的，必须以时空偶极子取代点源假说；复惠更斯原理的数学表示则为利用复射线研究复杂初波场在复杂介质中的传播提供了理论依据。

An exact representation of three-dimensional wave propagation is presented,where the practicalwave souras are equivaient to a distribution of spherital wavelet or complex sourca point on a general closedsurface,and which may therefore be interpretal as real or complex Huygens principle.The real space principleshows that the spherical wavelet needn t be corrected with the spatiotemporal dipole hypothesis.The complexspace principle provides an exact base for the simulation of wave propagation by complex ray tracking.