振荡电偶极子在各向异性媒质中的总辐射功率

Total Radiant Power of Electric Dipole Radiation in Anisotropic Medium

对各向异性媒质中电磁场辐射问题的研究,已完成了电偶极子的辐射电磁场及能流密度表达式的推导,文章进而在各向异性球坐标系中通过球面积分先求得在各向异性媒质中电偶极辐射的总功率,再通过坐标变换回到各向同性坐标系中,得到用通常直角坐标系表述的电偶极在各向异性媒质中辐射总功率的表达式.当媒质为各向同性时其结果与预期的结果相吻合,验证了推导结果的正确性.利用该结果可对电偶极在各向异性媒质中的辐射效果做出判断,而且为测定各向异性媒质中电偶极辐射的总辐射功率提供了理论依据,从而谋求开发与应用.

With regard to the radiation of electromagnetic field in anisotropic medium,the (expression) of radiation field and powerflow density of electric dipole had been inferred.The total radiant power of electric dipole radiation in anisotropic medium is solved at anisotropic coordinate system through surface integral at first;and then,an expression of total radiant power of electric dipole radiation in anisotropic medium formulating by ordinary rectangular coordinate system is obtained at isotropic coordinate system which is turned back from anisotropic coordinate system after coordinate trans formation.When the medium is isotropic,the results are identical with those of prediction.The correctness of inferred results is verified.The results not only can be applied to the judgement of the effect of radiation in anisotropic medium but also offer a theoretical basis for measuring total radiant power of electric dipole radiation in anisotropic medium and thus for seeking its development and application.