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Optical Absorption and Fluorescence of Materials

V. I. Gavrilenko, Volodymyr S. Ovechko

Published Sep 20, 2023• 0 citations
Publisher

Abstract

Methods of optical spectroscopy are widely used to study optical properties of materials. This area includes different methods of both linear and nonlinear optics. This chapter focuses on linear optical absorption and luminescence. It includes extended tutorial part addressing basics of the light emission and absorption mechanisms that will help students and young researchers to better understand the subject. The chapter presents a brief overview of basic physics that governs absorption and luminescence of light in materials. It then presents a classic picture of the optical absorption of materials. In order to make a next step and to get a quantum mechanical picture of light interaction with materials it is instructive to start with the interaction of an electromagnetic wave with an atom. There are three basic processes that are responsible for a formation of atomic spectra, i.e. spontaneous emission, stimulated emission, and absorption.

DOI
10.1201/9781003256946-4

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Methods of optical spectroscopy are widely used to study optical properties of materials. This area includes different methods of both linear and nonlinear optics. This chapter focuses on linear optical absorption and luminescence. It includes extended tutorial part addressing basics of the light emission and absorption mechanisms that will help students and young researchers to better understand the subject. The chapter presents a brief overview of basic physics that governs absorption and luminescence of light in materials. It then presents a classic picture of the optical absorption of materials. In order to make a next step and to get a quantum mechanical picture of light interaction with materials it is instructive to start with the interaction of an electromagnetic wave with an atom. There are three basic processes that are responsible for a formation of atomic spectra, i.e. spontaneous emission, stimulated emission, and absorption.
All optical oscillators and amplifiers can be analyzed as an electromagnetic structure, such as a cavity or a transmission line, which contains an amplifying medium. The operating characteristics of lasers are governed by both the electromagnetic properties of the structures and the properties of the amplifying medium. Stimulated emission and absorption of radiation from energy states are the physical basis of amplification in all laser materials. In order to study lasers, it is necessary to understand the energy levels of the amplifying medium and the stimulated transitions involving them. Quantum mechanical analysis of the energy states and the stimulated emission and absorption is presented in most books on lasers. However, quantum mechanical analyses cover only the analysis of individual atoms. We need to relate the effects of the quantum mechanical interactions to the macroscopic properties of the materials so that properties of the lasers may be analyzed. Therefore, the macroscopic susceptibility of materials related to stimulated emission and absorption is the focus of discussion in this chapter. It is not the purpose of this book to teach quantum mechanics. There are already many excellent books on this topic. The readers are assumed to have a fundamental knowledge of quantum mechanics. However, it is necessary first to review some of the major steps in order to understand precisely the notation used and the meaning of the results. This is presented in Section 5.1.
This chapter provides a brief overview of quantum mechanics and light. It begins with a discussion on the purpose and practice of spectroscopy, which involves the investigation of the interaction of light with matter. It then breaks down the nature of electromagnetic radiation, expounding on the classical theory of light before turning to photons and how they make up light. Next, the chapter elaborates on the properties of lasers and how these same remarkable properties are achieved largely from the process of stimulated emission. Afterward, the chapter presents the wave mechanical description of an atom, and considers the Schrödinger equation and the Hamiltonian operator. Lastly, angular momentum is explored.
The fundamental processes of absorption, stimulated and spontaneous emission, and elastic as well as inelastic scattering involving light and atoms, molecules, and nano-particles have been studied for decades using both classical and quantum theories. While providing an overview of the subject, this paper presents a streamlined approach to studying atom-photon interactions in the context of modern quantum optics in the hope of providing guidance for applications in the general area of molecular and nano-photonic machines.
This chapter discusses the details of what stimulated emission of radiation is, why it is the major physical phenomenon at the heart of the laser, and how it is exploited in ways to create laser light beams. It describes the Bohr model of the atom and how electrons can only make quantized leaps in energy levels from one atomic orbital or shell to the next. The chapter considers Pauli’s Exclusion Principle and singlet, doublet, and triplet states of the atom. It also describes the interaction of light with atoms through absorption, spontaneous emission, and stimulated emission. The chapter shows that the quantum mechanical harmonic oscillator and the ground state of the universe is a nonzero electromagnetic field and therefore is the trigger for spontaneous emission. It looks at the models for absorption, spontaneous and stimulated emission, and vibrational states.
This textbook provides an accessible introduction to laser physics, exploring three key questions: What is special about laser light? What is the physics underlying its generation? And how can laser light be manipulated and used? The material is presented in a manner that helps the reader develop an understanding of the underlying physics principles and processes without getting bogged down in mathematical details, but there is enough mathematics for the understanding to be quantitative. The book begins by describing the special properties of laser light and focuses on the physics of light-matter interaction to understand how it acquires them. It builds upon Maxwells equations for light and the classical electron oscillator model for the atoms, augmented with a quantum mechanical picture of atomic energy levels, to provide an accurate physical understanding of light-matter interaction. This approach bypasses the need for a course in quantum theory. Derivations of key equations are included not only to help readers follow the development of the subject, but also to illustrate that to approximate, simplify, and get analytic results is integral to understanding any complex phenomenon. Subjects such as nonlinear pulse propagation and nonlinear optics are discussed, but only at a level that should help readers to get started in these fields. The choice of topics has been limited to atomic/molecular lasers to allow for their coverage in one semester-long course. Problems, references and illustrations are included throughout the book, making it an ideal textbook for advanced undergraduate and graduate physics and engineering students. Students do not require prior knowledge of physics much beyond an undergraduate-level introduction to electromagnetic theory, including Maxwell’s equations, polarization in atomic media and electromagnetic wave propagation. Key features: · Provides a qualitative and quantitative understanding of, and appreciation for, the special properties of laser light · Explores quantum statistics of laser light · Presents an analytical approach to pulse formation