LEADER 04216nam 2200625Ia 450 001 9910257389803321 005 20200520144314.0 010 $a94-007-6664-5 024 7 $a10.1007/978-94-007-6664-8 035 $a(CKB)2670000000536641 035 $a(EBL)1399048 035 $a(OCoLC)858764631 035 $a(SSID)ssj0000988231 035 $a(PQKBManifestationID)11546505 035 $a(PQKBTitleCode)TC0000988231 035 $a(PQKBWorkID)10950208 035 $a(PQKB)10032508 035 $a(DE-He213)978-94-007-6664-8 035 $a(MiAaPQ)EBC1399048 035 $z(PPN)258847018 035 $a(PPN)172433312 035 $a(EXLCZ)992670000000536641 100 $a20130817d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aNumerical methods for metamaterial design /$fKenneth Diest, editor 205 $a1st ed. 2013. 210 $aDordrecht ;$aNew York $cSpringer$dc2013 215 $a1 online resource (225 p.) 225 0$aTopics in applied physics,$x0303-4216 ;$vv. 127 300 $aDescription based upon print version of record. 311 $a94-007-6663-7 311 $a94-007-9922-5 320 $aIncludes bibliographical references and index. 327 $a1 Introduction; K.Diest -- 2 An Overview of Mathematical Methods for Numerical Optimization; D.E. Marthaler -- 3 Optimization with Surrogate Models; T.Schaul -- 4 Nonsmooth Optimization by Mesh Adaptive Direct Search; C.Audet, K.Diest, S. Le Digabel, L.A. Sweatlock, and D.E. Marthaler -- 5 Nature Inspired Optimization Techniques for Metamaterial Design; D. H. Werner, J.A. Bossard, Z.Bayraktar, Z.H. Jiang, M.D. Gregory, and P.L. Werner -- 6 Objective-First Nanophotonic Design; J. Lu and J. Vuckovic -- 7 Gradient Based Optimization Methods for Metamaterial Design; W. Chen, K.Diest, C.-Y. Kao, D.E. Marthaler, L. A. Sweatlock, and S.Osher -- Appendix: The Interface Between Optimization and Simulation. 330 $aThis book describes a relatively new approach for the design of electromagnetic metamaterials.  Numerical optimization routines are combined with electromagnetic simulations to tailor the broadband optical properties of a metamaterial to have predetermined responses at predetermined wavelengths. After a review of both the major efforts within the field of metamaterials and the field of mathematical optimization, chapters covering both gradient-based and derivative-free design methods are considered.  Selected topics including surrogate-base optimization, adaptive mesh search, and genetic algorithms are shown to be effective, gradient-free optimization strategies.  Additionally, new techniques for representing dielectric distributions in two dimensions, including level sets, are demonstrated as effective methods for gradient-based optimization.  Each chapter begins with a rigorous review of the optimization strategy used, and is followed by numerous examples that combine the strategy with either electromagnetic simulations or analytical solutions of the scattering problem.  Throughout the text, we address the strengths and limitations of each method, as well as which numerical methods are best suited for different types of metamaterial designs.  This book is intended to provide a detailed enough treatment of the mathematical methods used, along with sufficient examples and additional references, that senior level undergraduates or graduate students who are new to the fields of plasmonics, metamaterials, or optimization methods; have an understanding of which approaches are best-suited for their work and how to implement the methods themselves. 410 0$aTopics in Applied Physics,$x0303-4216 ;$v127 606 $aMetamaterials 606 $aMathematical optimization 606 $aNanophotonics 615 0$aMetamaterials. 615 0$aMathematical optimization. 615 0$aNanophotonics. 676 $a620.11297 701 $aDiest$b Kenneth$01763986 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910257389803321 996 $aNumerical methods for metamaterial design$94204718 997 $aUNINA