Thomas M. Søndergaard

Green's Function Integral Equation Methods in Nano-Optics (eBook, PDF)

• Format: PDF

Produktbeschreibung

This gives an introduction to using Green's function integral equation methods (GFIEMs) for solving scattering problems in nano-optics. The book covers types of integral equation methods for 1D, 2D, and 3D scattering problems in nano-optics, how the integral equations can be discretized and solved numerically, and how this can be done efficiently.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 430
• Erscheinungstermin: 30. Januar 2019
• Englisch
• ISBN-13: 9781351260190
• Artikelnr.: 55120823

Autorenporträt

Dr. Thomas Søndergaard is currently an Associate Professor in Nano Optics, Aalborg University, Denmark. His areas of expertise include numerical methods for theoretical analysis of electromagnetic fields in micro- and nanostructures. Plasmonics: waveguiding, optical antennas, resonators and sensors based on a type of electromagnetic surface wave at metal-dielectric interfaces known as Surface Plasmon Polaritons. Photonic crystals: wavelength-scale periodic structures in which light with certain wavelengths cannot propagate, similar to electrons with certain energies not being able to progagate in semiconductors, and how this can be exploited for e.g. designing optical waveguides and cavities. Green's function integral equation methods. Dr. Sondergaard has been awarded The Danish Independent Research Councils' Young Researcher's Award (2006) and The Danish Optical Society Award (2008). He is a board member of the Danish Optical Society and reviewer of 15-20 papers per year for such journals as Physical Review B, Physical Review Letters, Applied Physics Letters, Optics Express, IEEE Journal of Quantum Electronics, IEEE Journal of Lightwave Technology, Optics Communications, Physica status solidi (b), Nature Photonics, Optics Letters, and Journal of the Optical Society of America A/B. Dr. Sondergaard has also been published 84 papers in peerreviewed journals and holds three patents.

Inhaltsangabe

Introduction. Theoretical Foundation. One-dimensional Scattering Problems.
Surface Integral Equation Method for 2D Scattering Problems. Area Integral
Equation Method for 2D Scattering Problems. Volume Integral Equation Method
for 3D Scattering Problems. Volume Integral Equation Method for
Cylindrically Symmetric Structures. Surface Integral Equation Method for 3D
scattering Problems. Chapter A: Residue Theorem. Chapter B: Conjugate
Gradient Algorithm. Chapter C: Generalized Minimum Residual Algorithm.
Chapter D: Bessel Functions. Chapter E: Analytic Scattering from a Cylinder
and a Sphere. Chapter F: Calculating Guided Modes of Planar Waveguides.
References.

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Introduction. Theoretical Foundation. One-dimensional Scattering Problems. Surface Integral Equation Method for 2D Scattering Problems. Area Integral Equation Method for 2D Scattering Problems. Volume Integral Equation Method for 3D Scattering Problems. Volume Integral Equation Method for Cylindrically Symmetric Structures. Surface Integral Equation Method for 3D scattering Problems. Chapter A: Residue Theorem. Chapter B: Conjugate Gradient Algorithm. Chapter C: Generalized Minimum Residual Algorithm. Chapter D: Bessel Functions. Chapter E: Analytic Scattering from a Cylinder and a Sphere. Chapter F: Calculating Guided Modes of Planar Waveguides. References.