8.2.4
Beyond SPPs Coupling: Toward a Near-Field
Analog of Blackbody . . . . . . . . . . . . . . . . . . . . . . . 312
8.2.5
Applications. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 315
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 322
9
Aperiodic Order in Nanoplasmonics . . . . . . . . . . . . . . . . . . . . . . 329
Luca Dal Negro, Carlo Forestiere, Nathaniel Lawrence,
Sylvanus Lee, Jacob Trevino and Gary Walsh
9.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 330
9.2 Fundamentals of Deterministic Aperiodic Order . . . . . . . . . . . 331
9.2.1
Periodic and Quasi-Periodic Order . . . . . . . . . . . . . . 331
9.2.2
Aperiodic Order and Substitutions . . . . . . . . . . . . . . 333
9.2.3
Plasmonic Chains: Collective Excitations and
Energy Gaps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 336
9.2.4
Rotational Symmetry: Aperiodic Tilings and
Vogel Spirals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 339
9.2.5
Aperiodic Order and Number Theory . . . . . . . . . . . . 345
9.2.6
Hot Spot Engineering with Aperiodic
Plasmon Arrays . . . . . . . . . . . . . . . . . . . . . . . . . . . 348
9.3 Engineering Applications of Aperiodic Plasmon Arrays . . . . . 352
9.3.1
Nanofabrication of Aperiodic Plasmon Arrays . . . . . . 352
9.3.2
Applications to Surface Enhanced Raman
Biosensing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 356
9.3.3
Applications to Colorimetric Optical Sensing. . . . . . . 360
9.3.4
Applications to Light Emission Enhancement . . . . . . 363
9.3.5
Applications to Thin-Film Solar Cell
Enhancement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 367
9.4 Outlook and Conclusions. . . . . . . . . . . . . . . . . . . . . . . . . . . 370
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 372
10 Waves on Subwalength Metallic Surfaces: A Microscopic
View Point . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 379
Philippe Lalanne and Haitao Liu
10.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 379
10.2 Waves on Metal Surfaces: Historical Background. . . . . . . . . . 381
10.3 Fano’s Microscopic Model of Wood Anomaly . . . . . . . . . . . . 382
10.4 Field Scattered on Metal Surfaces by Subwavelength
Indentations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 384
10.4.1 The Quasi-Cylindrical Wave . . . . . . . . . . . . . . . . . . 384
10.4.2 SPP and Quasi-CW Launched by a Dipole
Point-Source on a Metal Surface (3D case) . . . . . . . . 388
10.5 Fano-Like Model of the Extraordinary Optical
Transmission . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 389
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Contents