On limitations of the Bruggeman formalism for inverse homogenization
The Bruggeman formalism provides an estimate �Br hcm of the relative permittivity of a homogenized composite material (HCM), arising from two component materials with relative permittivities �a and �b. It can be inverted to provide an estimate of �a, from a knowledge of �Br hcm and �b. Numerica...
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| Format: | Article |
| Language: | English |
| Published: |
SPIE
2010
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| Online Access: | http://eprints.uthm.edu.my/7855/ http://eprints.uthm.edu.my/7855/1/J13_8231025d14304ad36e4101e993342c62.pdf |
| _version_ | 1848889225674489856 |
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| author | Jamaian, Siti S. Mackay, Tom G. |
| author_facet | Jamaian, Siti S. Mackay, Tom G. |
| author_sort | Jamaian, Siti S. |
| building | UTHM Institutional Repository |
| collection | Online Access |
| description | The Bruggeman formalism provides an estimate �Br
hcm of the relative permittivity of
a homogenized composite material (HCM), arising from two component materials with relative
permittivities �a and �b. It can be inverted to provide an estimate of �a, from a knowledge of
�Br
hcm and �b. Numerical studies show that the inverse Bruggeman estimate �a can be physically
implausible when (i) Re �
�Br
hcm�
/Re {�b} > 0 and the degree of HCM dissipation is moder�ate or greater; or (ii) Re �
�Br
hcm�
/ Re {�b} < 0 regardless of the degree of HCM dissipation.
Furthermore, even when the inverse Bruggeman estimate is not obviously implausible, huge
discrepancies can exist between this estimate and the corresponding estimate provided by the
inverse Maxwell Garnett formalism. |
| first_indexed | 2025-11-15T20:22:48Z |
| format | Article |
| id | uthm-7855 |
| institution | Universiti Tun Hussein Onn Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T20:22:48Z |
| publishDate | 2010 |
| publisher | SPIE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uthm-78552022-10-17T06:16:49Z http://eprints.uthm.edu.my/7855/ On limitations of the Bruggeman formalism for inverse homogenization Jamaian, Siti S. Mackay, Tom G. T Technology (General) The Bruggeman formalism provides an estimate �Br hcm of the relative permittivity of a homogenized composite material (HCM), arising from two component materials with relative permittivities �a and �b. It can be inverted to provide an estimate of �a, from a knowledge of �Br hcm and �b. Numerical studies show that the inverse Bruggeman estimate �a can be physically implausible when (i) Re � �Br hcm� /Re {�b} > 0 and the degree of HCM dissipation is moder�ate or greater; or (ii) Re � �Br hcm� / Re {�b} < 0 regardless of the degree of HCM dissipation. Furthermore, even when the inverse Bruggeman estimate is not obviously implausible, huge discrepancies can exist between this estimate and the corresponding estimate provided by the inverse Maxwell Garnett formalism. SPIE 2010 Article PeerReviewed text en http://eprints.uthm.edu.my/7855/1/J13_8231025d14304ad36e4101e993342c62.pdf Jamaian, Siti S. and Mackay, Tom G. (2010) On limitations of the Bruggeman formalism for inverse homogenization. Journal of Nanophotonics, 4. pp. 1-8. |
| spellingShingle | T Technology (General) Jamaian, Siti S. Mackay, Tom G. On limitations of the Bruggeman formalism for inverse homogenization |
| title | On limitations of the Bruggeman formalism for inverse
homogenization |
| title_full | On limitations of the Bruggeman formalism for inverse
homogenization |
| title_fullStr | On limitations of the Bruggeman formalism for inverse
homogenization |
| title_full_unstemmed | On limitations of the Bruggeman formalism for inverse
homogenization |
| title_short | On limitations of the Bruggeman formalism for inverse
homogenization |
| title_sort | on limitations of the bruggeman formalism for inverse
homogenization |
| topic | T Technology (General) |
| url | http://eprints.uthm.edu.my/7855/ http://eprints.uthm.edu.my/7855/1/J13_8231025d14304ad36e4101e993342c62.pdf |