04216nam 2200625Ia 450 991025738980332120200520144314.094-007-6664-510.1007/978-94-007-6664-8(CKB)2670000000536641(EBL)1399048(OCoLC)858764631(SSID)ssj0000988231(PQKBManifestationID)11546505(PQKBTitleCode)TC0000988231(PQKBWorkID)10950208(PQKB)10032508(DE-He213)978-94-007-6664-8(MiAaPQ)EBC1399048(PPN)258847018(PPN)172433312(EXLCZ)99267000000053664120130817d2013 uy 0engur|n|---|||||txtccrNumerical methods for metamaterial design /Kenneth Diest, editor1st ed. 2013.Dordrecht ;New York Springerc20131 online resource (225 p.)Topics in applied physics,0303-4216 ;v. 127Description based upon print version of record.94-007-6663-7 94-007-9922-5 Includes bibliographical references and index.1 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.This 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.Topics in Applied Physics,0303-4216 ;127MetamaterialsMathematical optimizationNanophotonicsMetamaterials.Mathematical optimization.Nanophotonics.620.11297Diest Kenneth1763986MiAaPQMiAaPQMiAaPQBOOK9910257389803321Numerical methods for metamaterial design4204718UNINA