A field theory approach to photonics /

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"Version: 20250701"--Title page verso.Includes bibliographical references.1. Introduction -- part I. Classical theory of light. 2. Electromagnetic field and light-matter interaction -- 2.1. Maxwell's equations, wave equation, and the Helmholtz equation -- 2.2. The propagator for the Helmholtz equation -- 2.3. Helmholtz equation in cylindrical coordinates : Bessel beams -- 2.4. Paraxial approximation and Gaussian beams -- 2.5. The paraxial propagator -- 2.6. Light-matter interaction3. Field theory in a nutshell -- 3.1. Lagrangian, Hamiltonian, and Noether's theorem -- 3.2. Noether theorem for internal symmetries of the field4. Electromagnetic field theory -- 4.1. A preliminary discussion -- 4.2. The Lagrangian for the electromagnetic field -- 4.3. The Hamiltonian for the electromagnetic field -- 4.4. Conserved quantities of the electromagnetic field -- 4.5. Orbital and spin angular momentum of the electromagnetic field -- 4.6. Helicity, chirality and spin angular momentum -- 4.7. Field theory description of light-matter interaction -- 4.8. Electrodynamics in curved spacetime and transformation optics -- Appendix A. Derivation of equation (4.68) -- Appendix B. Derivation of the Power-Zienau-Wooley transformationpart II. Quantum theory of light. 5. Quantum field theory in a nutshell -- 5.1. Hamiltonian mechanics revisited -- 5.2. Canonical quantisation -- 5.3. Interacting field--Hamiltonian formalism -- 5.4. Feynman diagrams -- 5.5. Path integral quantisation -- 5.6. Interacting fields--path integral formalism -- Appendix A. The quantum harmonic oscillator -- Appendix B. Gaussian integrals of fields6. Quantum theory of the electromagnetic field -- 6.1. Part I : canonical quantisation of the electromagnetic field -- 6.2. Part II : quantum nonlinear optics in canonical formalism -- 6.3. Part III : path integrals quantisation of the electromagnetic field -- 6.4. Feynman propagator for the electromagnetic field -- Appendix A. Coherent states of the quantum harmonic oscillator -- Appendix B. A primer on Grassmann variables and fieldspart III. Path integrals for classical and quantum optics applications. 7. Applications of path integrals in photonics -- 7.1. Part I : path integrals in photonics -- 7.2. Part II : quantum field theory, path integrals and photonics -- Appendix A. Derivation of equations (7.20a) -- Appendix B. Schwinger-Dyson equation for the dressed propagator -- Appendix C. Derivation of equation (7.142)8. Light-matter interaction in 2D materials -- 8.1. A primer on graphene -- 8.2. Light-matter interaction on a plane -- 8.3. Optical conductivity of graphene -- 8.4. Extension to other materials and nonlinear properties.Full-text restricted to subscribers or individual document purchasers.This book provides an introduction to the use of field theory (both in its classical and quantum formulation) to approach problems in optics and photonics, with specific emphasis on path integral methods. Starting with the familiar classical electrodynamics framework of Maxwell's equations and the light-matter interaction in the dipole approximation, the book slowly guides the reader through a journey that will touch several different aspects of photonics and field theory, including quantisation, nonlinear optics, path integrals, and its application to problems in photonics and 2D materials.Graduate students with some experience in theoretical photonics Junior and senior researchers in theoretical optics, theoretical and mathematical physics who want to approach different topics in optics and Photonics from a field theory perspective.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Marco Ornigotti is a theoretical physicist interested in the fundamental aspects of light-matter interaction at both the classical and quantum scale and in unravelling the hidden connections between photonics and other disciplines of physics. He received his Master's degree in photonics and PhD in physics from Polytechnic Institute of Milan, and the habilitation in theoretical physics from Friedrich Schiller University. Marco spent several years in Germany for his Postdoc, first at the Max Planck Institute for the Science of Light at Friedrich Schiller University Jena, and University of Rostock. Since 2019 he joined Tampere University, where he is now Associate Professor and leads the Theoretical Optics and Photonics group, whose main research interest concerns the interaction of structured light with matter, with particular emphasis on 2D, and epsilon-near-zero materials.Title from PDF title page (viewed on August 1, 2025).

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: .,

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1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9780750357890

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621.36/5

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-

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-

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Subject(s)

Optical physics.
SCIENCE / Physics / Optics & Light.
Photonics.
Field theory (Physics)

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Marco Ornigotti.

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