Partha P. Banerjee

John M. Jarem

This text examines a variety of spectral computational techniques— including k-space theory, Floquet theory and beam propagation— that are used to analyze electromagnetic and optical problems. The authors tie together different applications in EM and optics in which the state variable method is used. Emphasizing the analysis of planar diffraction gratings using rigorous coupled wave analysis, the book presents many cases that are analyzed using a full-field vector approach to solve Maxwell’s equations in anisotropic media where a standard wave equation approach is intractable.

Computational Methods for Electromagnetic and Optical Systems, Second Edition

Nonlinear Optics probes in great depth quadratic and cubic nonlinearities, photorefractive nonlinear optics, the nonlinear optical properties of nematic liquid crystals, and photonic bandgap structures. This reference places core physical principles and theoretical concepts in dialogue with contemporary applications and research and presents the essential physics behind the products and promise of this very fertile field. It presents new developments in the dispersion management in nonlinear optical fibers and the combined effects of quadratic and cubic nonlinearities on harmonic generation. Coverage includes a review of linear wave propagation and the origins of optical nonlinearity.

Theory, Numerical Modeling, and Applications

Nonlinear Optics

The current rapid and complex advancement applications of electromagnetic (EM) and optical systems calls for a much needed update on the computational methods currently in use. Completely revised and reflecting ten years of develoments, this second edition of the bestselling Computational Methods for Electromagnetic and Optical Systems provides the update so desperately needed in this field. Offering a wealth of new material, this second edition begins with scalar wave propagation and analysis techniques, chiral and metamaterials, and photonic band gap structures. It examines Pontying vector and stored energy, as well as energy, group, and phase velocities; reviews k-space state variable formation with applications to anistropic planar systems; and presents full-field rigorous coupled wave analysis of planar diffraction gratings with applications to H-mode, E-mode, crossed gratings, single and multilayered diffraction grating analysis, and diffraction from anistropic gratings. Later chapters highlight spectral techniques and RCWA as applied to the analysis of dynamic wave-mixing in PR materials with induced transmission and reflection gratings and demonstrate the RCWA algorithm to analyze cylindrical and spherical systems using circular, bipolar cylindrical, and spherical coordinates. The book concludes with several RCWA computational case studies involving scattering from spatially inhomogeneous eccentric circular cylinders, solved in bipolar coordinates. Many of these examples apply the complex Poynting theorem or the forwardscattering (optical) theorem to validate numerical solutions by verifying power conservation. Using common computational tools such as Fortran, MATLAB, COMSOL, and RSOFT, the text offers numerous examples to illuminate the material, many of which employ a full-field vector approach to analyze and solve Maxwell’s equations in anisotropic media where a standard wave equation approach is intractable. Designed to introduce novel spectral computational techniques, the book demonstrates the application of these methods to analyze a variety of EM and optical systems.

Akhlesh Lakhtakia

Guru Subramanyam

Karl S. Gudmundsson

Thin Film Nanophotonics: Conclusions from the Third International Workshop on Thin Films for Electronics, Electro-Optics, Energy and Sensors (TFE3S) provides up-to-date coverage of the properties and photonic applications of nanostructured thin films, including discussions on optical waveguides, photonic lattices for wideband reflectors, polarizers, bandpass filters, meta surfaces, plasmonic resonance sensors, smart windows, optical switches, photovoltaics, and many more. This is an important reference source for materials scientists, engineers and physicists working in the areas of nanomaterials and photonics. New thin film applications such as thin-film topological insulators and 2D materials are gaining attention and growing exponentially, hence this book is an ideal reference on how engineered thin films for various nano-photonics applications present exponential growth in a wide array of areas. Focuses on the interaction of photons with nanostructured thin films, nanocrystals, nanowires, semiconductor nanodots and photonic crystals Offers a comprehensive overview of the latest advances in thin-film nanophotonics Discusses how the properties of thin films make them particularly useful for photonic applications

Partha P. Banerjee

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