%0 Journal Article %1 yamasaki_level_2012 %A Yamasaki, Shintaro %A Nomura, Tsuyoshi %A Sato, Kazuo %A Michishita, Naobumi %A Yamada, Yoshihide %A Kawamoto, Atsushi %D 2012 %J International Journal for Numerical Methods in Engineering %K Topology and composite dielectric electromagnetics, left-handed level line, metamaterial, method, optimization resonator, right- set transmission %N 10 %P 1272–1295 %R 10.1002/nme.3287 %T Level set-based topology optimization targeting dielectric resonator-based composite right- and left-handed transmission lines %U http://onlinelibrary.wiley.com/doi/10.1002/nme.3287/abstract %V 89 %X In the last decade, metamaterials have been gaining attention and have been investigated because of their unique characteristics, which conventional materials do not have, such as negative refraction indexes. However, it is sometimes difficult to design metamaterials on the basis of experience and theoretical considerations because the relationship between their electromagnetic characteristics and structure is often vague. A mathematical structural design methodology targeting metamaterials may therefore be useful for expanding the engineering applications of metamaterials in industry. In this paper, a new level set-based topology optimization method is proposed for designing composite right- and left-handed transmission lines, each of which consists of a waveguide and periodically located dielectric resonators. Such transmission lines function as a fundamental metamaterial. In the proposed method, the shape and topology of the dielectric resonators are represented by the level set function, and topology optimization problems are formulated on the basis of the level set-based representation. Copyright © 2011 John Wiley & Sons, Ltd.

@article{yamasaki_level_2012, abstract = {In the last decade, metamaterials have been gaining attention and have been investigated because of their unique characteristics, which conventional materials do not have, such as negative refraction indexes. However, it is sometimes difficult to design metamaterials on the basis of experience and theoretical considerations because the relationship between their electromagnetic characteristics and structure is often vague. A mathematical structural design methodology targeting metamaterials may therefore be useful for expanding the engineering applications of metamaterials in industry. In this paper, a new level set-based topology optimization method is proposed for designing composite right- and left-handed transmission lines, each of which consists of a waveguide and periodically located dielectric resonators. Such transmission lines function as a fundamental metamaterial. In the proposed method, the shape and topology of the dielectric resonators are represented by the level set function, and topology optimization problems are formulated on the basis of the level set-based representation. Copyright © 2011 John Wiley \& Sons, Ltd.}, added-at = {2013-01-26T11:35:39.000+0100}, author = {Yamasaki, Shintaro and Nomura, Tsuyoshi and Sato, Kazuo and Michishita, Naobumi and Yamada, Yoshihide and Kawamoto, Atsushi}, biburl = {https://www.bibsonomy.org/bibtex/26725c299b416fc0a7500471f3cea5b69/bhessen}, copyright = {Copyright © 2011 John Wiley \& Sons, Ltd.}, doi = {10.1002/nme.3287}, file = {Full Text PDF:C:\Users\hessenauer\AppData\Roaming\Mozilla\Firefox\Profiles\1h9szxht.firefox4\zotero\storage\2DUH64DJ\Yamasaki et al. - 2012 - Level set-based topology optimization targeting di.pdf:application/pdf;Snapshot:C:\Users\hessenauer\AppData\Roaming\Mozilla\Firefox\Profiles\1h9szxht.firefox4\zotero\storage\IDB3H3NG\abstract.html:text/html}, interhash = {ba3b9b87809602aee6662bf489a4f43f}, intrahash = {6725c299b416fc0a7500471f3cea5b69}, issn = {1097-0207}, journal = {International Journal for Numerical Methods in Engineering}, keywords = {Topology and composite dielectric electromagnetics, left-handed level line, metamaterial, method, optimization resonator, right- set transmission}, language = {en}, number = 10, pages = {1272–1295}, timestamp = {2013-01-26T11:35:49.000+0100}, title = {Level set-based topology optimization targeting dielectric resonator-based composite right- and left-handed transmission lines}, url = {http://onlinelibrary.wiley.com/doi/10.1002/nme.3287/abstract}, urldate = {2013-01-21}, volume = 89, year = 2012 }