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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.
Key Features:
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Comprehensive reference for field theoretical methods in Photonics.
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Easily accessible introduction to theoretical physics models in Photonics.
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Unifying view of classical and quantum properties of light-matter interaction.
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A versatile platform to approach complex problems in Photonics.
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Contains several worked examples of the primary calculations, both in the classical and quantum case, to help the reader getting familiar with the formalism, thus granting them access to the subject in an easy, beginner’s friendly manner.
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 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 concern the interaction of structured light with matter, with particular emphasis on 2D, and epsilon-near-zero materials.
Preface
Acknowledgements
Author biography
Notation and conventions
1 Introduction
2 Electromagnetic field and light-matter interaction
3 Field theory in a nutshell
4 Electromagnetic field theory
5 Quantum field theory in a nutshell
6 Quantum theory of the electromagnetic field
7 Applications of path integrals in photonics
8 Light-matter interaction in 2D materials