Introduction.- Physics and Mathematics.- Catenary and photonic spin-orbit interaction.- Catenary optics for nanolithography.- Catenary optics for beam shaping.- Catenary optics for broadband absorption.- Catenary optics for broadband polarization manipulation.- Catenary optics for enhanced thermal emission.
Prof. Xiangang Luo is currently director of the State Key Lab of Optical Technologies on Nano-fabrication and Micro-engineering (SKLOTNM), and president of the Institute of Optics and Electronics (IOE), Chinese Academy of Sciences (CAS). His research interests include micro/nano-optics, plasmonics, metamaterials, sub-wavelength electromagnetics and catenary optics. He has published more than 300 scientific papers and holds 100 patents in optics and related fields. He is a fellow of the International Society for Optical Engineering (SPIE), Optical Society of America (OSA), Chinese Optical Society (COS), and International Academy of Photonics and Laser Engineering (IAPLE).
This book offers the first comprehensive introduction to the optical properties of the catenary function, and includes more than 200 figures. Related topics addressed here include the photonic spin Hall effect in inhomogeneous anisotropic materials, coupling of evanescent waves in complex structures, etc. After familiarizing readers with these new physical phenomena, the book highlights their applications in plasmonic nanolithography, flat optical elements, perfect electromagnetic absorbers and polarization converters. The book will appeal to a wide range of readers: while researchers will find new inspirations for historical studies combining mechanics, mathematics, and optics, students will gain a wealth of multidisciplinary knowledge required in many related areas. In fact, the catenary function was deemed to be a “true mathematical and mechanical form” in architecture by Robert Hooke in the 1670s. The discovery of the mathematical form of catenaries is attributed to Gottfried Leibniz, Christiaan Huygens and Johann Bernoulli in 1691. As the founders of wave optics, however, Hooke and Huygens did not recognize the importance of catenaries in optics. It is only in recent decades that the link between catenaries and optics has been established.