Tmatrix method for closely adjacent obstacles
(2019) In Journal of Quantitative Spectroscopy and Radiative Transfer 234. p.4046 Abstract
This paper presents a novel method to calculate the Tmatrix for two nonspherical obstacles positioned close to each other, where the individual circumscribed spheres intersect. This is achieved by translating the obstacles coordinate systems, using translation matrices for spherical vector waves. The new circumscribing spheres enables the obstacles to be positioned close to each other. A new total Tmatrix of the twoobstacle system can then be calculated using methods for composite particles, i.e., the superposition Tmatrix method. This total Tmatrix will generally be larger than the original ones, depending on the sizes of the circumscribing spheres used in the coordinate translation procedure. However, it is shown that the total... (More)
This paper presents a novel method to calculate the Tmatrix for two nonspherical obstacles positioned close to each other, where the individual circumscribed spheres intersect. This is achieved by translating the obstacles coordinate systems, using translation matrices for spherical vector waves. The new circumscribing spheres enables the obstacles to be positioned close to each other. A new total Tmatrix of the twoobstacle system can then be calculated using methods for composite particles, i.e., the superposition Tmatrix method. This total Tmatrix will generally be larger than the original ones, depending on the sizes of the circumscribing spheres used in the coordinate translation procedure. However, it is shown that the total Tmatrix can be truncated after transformation to a common origin, without degrading the accuracy. The total truncated Tmatrix is only slightly larger than the original individual ones. The method is demonstrated for electromagnetic scattering simulations of two metallic disks, closely adjacent to each other.
(Less)
 author
 Martin, Torleif ^{LU}
 organization
 publishing date
 2019
 type
 Contribution to journal
 publication status
 published
 subject
 keywords
 Disk, Electromagnetic, Scattering, Tmatrix
 in
 Journal of Quantitative Spectroscopy and Radiative Transfer
 volume
 234
 pages
 7 pages
 publisher
 Elsevier
 external identifiers

 scopus:85067010039
 ISSN
 00224073
 DOI
 10.1016/j.jqsrt.2019.06.001
 language
 English
 LU publication?
 yes
 id
 fd76594bacb24424b14f2c20e6846cf8
 date added to LUP
 20190626 11:13:07
 date last changed
 20190716 04:12:40
@article{fd76594bacb24424b14f2c20e6846cf8, abstract = {<p>This paper presents a novel method to calculate the Tmatrix for two nonspherical obstacles positioned close to each other, where the individual circumscribed spheres intersect. This is achieved by translating the obstacles coordinate systems, using translation matrices for spherical vector waves. The new circumscribing spheres enables the obstacles to be positioned close to each other. A new total Tmatrix of the twoobstacle system can then be calculated using methods for composite particles, i.e., the superposition Tmatrix method. This total Tmatrix will generally be larger than the original ones, depending on the sizes of the circumscribing spheres used in the coordinate translation procedure. However, it is shown that the total Tmatrix can be truncated after transformation to a common origin, without degrading the accuracy. The total truncated Tmatrix is only slightly larger than the original individual ones. The method is demonstrated for electromagnetic scattering simulations of two metallic disks, closely adjacent to each other.</p>}, author = {Martin, Torleif}, issn = {00224073}, keyword = {Disk,Electromagnetic,Scattering,Tmatrix}, language = {eng}, pages = {4046}, publisher = {Elsevier}, series = {Journal of Quantitative Spectroscopy and Radiative Transfer}, title = {Tmatrix method for closely adjacent obstacles}, url = {http://dx.doi.org/10.1016/j.jqsrt.2019.06.001}, volume = {234}, year = {2019}, }