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Article: RESPONSE OF A SOURCE ON TOP OF A VERTICALLY STRATIFIED HALFSPACE.
Title  RESPONSE OF A SOURCE ON TOP OF A VERTICALLY STRATIFIED HALFSPACE. 

Authors  
Issue Date  1985 
Citation  Ieee Transactions On Antennas And Propagation, 1985, v. AP33 n. 6, p. 649654 How to Cite? 
Abstract  The solution of the response of a source on top of a horizontally stratified halfspace is wellknown. However, when the halfspace is vertically stratified, the problem can only be solved with numerical methods such as the finiteelement method. Here a semianalytic approach to solve such a problem is presented. The threedimensional variation of the problem is reduced to a twodimensional variation by using the Fourier transform in one coordinate variable. The remaining twodimensional problem is solved by finding the eigensolution in each of the halfspaces. The eigensolutions of each region are found from the partial differential equation directly, using the same basis set of expansion functions. This makes the calculation of the reflection and transmission operators, which account for the mode conversion, reflection, and transmission of the waves, very efficient. Using the reflection and transmission operators, the field everywhere can be calculated. The solution reduces to that of the Sommerfeld halfspace problem when the two halfspaces are homogeneous. 
Persistent Identifier  http://hdl.handle.net/10722/182473 
ISSN  2015 Impact Factor: 2.053 2015 SCImago Journal Rankings: 2.130 
DC Field  Value  Language 

dc.contributor.author  Chew, Weng Cho  en_US 
dc.date.accessioned  20130502T05:15:31Z   
dc.date.available  20130502T05:15:31Z   
dc.date.issued  1985  en_US 
dc.identifier.citation  Ieee Transactions On Antennas And Propagation, 1985, v. AP33 n. 6, p. 649654  en_US 
dc.identifier.issn  0018926X  en_US 
dc.identifier.uri  http://hdl.handle.net/10722/182473   
dc.description.abstract  The solution of the response of a source on top of a horizontally stratified halfspace is wellknown. However, when the halfspace is vertically stratified, the problem can only be solved with numerical methods such as the finiteelement method. Here a semianalytic approach to solve such a problem is presented. The threedimensional variation of the problem is reduced to a twodimensional variation by using the Fourier transform in one coordinate variable. The remaining twodimensional problem is solved by finding the eigensolution in each of the halfspaces. The eigensolutions of each region are found from the partial differential equation directly, using the same basis set of expansion functions. This makes the calculation of the reflection and transmission operators, which account for the mode conversion, reflection, and transmission of the waves, very efficient. Using the reflection and transmission operators, the field everywhere can be calculated. The solution reduces to that of the Sommerfeld halfspace problem when the two halfspaces are homogeneous.  en_US 
dc.language  eng  en_US 
dc.relation.ispartof  IEEE Transactions on Antennas and Propagation  en_US 
dc.title  RESPONSE OF A SOURCE ON TOP OF A VERTICALLY STRATIFIED HALFSPACE.  en_US 
dc.type  Article  en_US 
dc.identifier.email  Chew, Weng Cho: wcchew@hku.hk  en_US 
dc.identifier.authority  Chew, Weng Cho=rp00656  en_US 
dc.description.nature  link_to_subscribed_fulltext  en_US 
dc.identifier.scopus  eid_2s2.00022082478  en_US 
dc.identifier.volume  AP33  en_US 
dc.identifier.issue  6  en_US 
dc.identifier.spage  649  en_US 
dc.identifier.epage  654  en_US 
dc.publisher.place  United States  en_US 
dc.identifier.scopusauthorid  Chew, Weng Cho=36014436300  en_US 