{"title":"Field of a horizontal magnetic dipole in the presence of a magnetoplasma halfspace","authors":"G. Tyras, A. Ishimaru, H. Swarm","doi":"10.6028/JRES.067D.053","DOIUrl":null,"url":null,"abstract":"In the present paper we consider the problem of a horizontal magnetic dipole situated in or out of a lossy magnetoplasma halfspace when the magnetostatic field is parallel to the axis of the dipole. The rigorous formulation of the problem is carried to the point where the determination of the pertinent boundary coefficients remains to be a straightforward but not a simple algebraic process. Due to the prohibitive algebraic complexity involved in the explicit finding of the boundary coefficients, a high frequency approximation is intro duced and the approximate form of t he boundary coefficients fou nd. The field integrals are evaluated in t he air region for the condition when the observation point is at a large distance from the source. The results are applied to finding the radiation pattern in the air due to a magnetic dipole situated ncar t he lower edge of the ionosphere. It is found that the most important correction due to t he earth's magnetic field occu rs near the interface and parallel to t he axis of the dipole.","PeriodicalId":398550,"journal":{"name":"Journal of Research of the National Bureau of Standards, Section D: Radio Propagation","volume":"79 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1963-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Research of the National Bureau of Standards, Section D: Radio Propagation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.6028/JRES.067D.053","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In the present paper we consider the problem of a horizontal magnetic dipole situated in or out of a lossy magnetoplasma halfspace when the magnetostatic field is parallel to the axis of the dipole. The rigorous formulation of the problem is carried to the point where the determination of the pertinent boundary coefficients remains to be a straightforward but not a simple algebraic process. Due to the prohibitive algebraic complexity involved in the explicit finding of the boundary coefficients, a high frequency approximation is intro duced and the approximate form of t he boundary coefficients fou nd. The field integrals are evaluated in t he air region for the condition when the observation point is at a large distance from the source. The results are applied to finding the radiation pattern in the air due to a magnetic dipole situated ncar t he lower edge of the ionosphere. It is found that the most important correction due to t he earth's magnetic field occu rs near the interface and parallel to t he axis of the dipole.