This book highlights the theories and applications of quantum acoustical imaging which can be considered as a part of quantum technology. It starts with the theories and background principles of this new field in depth.The examples of some present forms of available acoustical imaging which can be considered as quantum acoustical imaging are given such as ultrasonics in the terahertz range with the use of optical transducers for producing terahertz ultrasound and the theory of sound amplification by stimulated emission of radiation (SASER) and principles based on terahertz ultrasound. The SASER transducer is described, followed by the applications of SASER.Other examples of quantum acoustical imaging are the atomic force acoustic microscope (AFAM) and the ultrasonic force microscope. The author’s personal inventions of quantum acoustical imaging are a system based on phonons entanglement based on the quantum property of phonons entanglement and the quantum ultrasound diffraction tomography system.The advantage of quantum acoustical imaging is the defeat of the classical Rayleigh image resolution limit. An unique feature of this book is that it has gone in depth into the quantum theories of acoustical imaging such as phonons entanglement,,superposition principle and the application of transport theory.Quantum microphones and quantum transducers are also introduced with a final chapter on quantum image processing.
Author(s): Woon Siong Gan
Publisher: Springer
Year: 2022
Language: English
Pages: 90
City: Singapore
Preface
Contents
About the Author
1 Quantum Theory
1.1 Mathematical Formulation
1.2 Properties of Quantum Theory
1.2.1 Uncertainty Principle
1.2.2 Entanglement
1.3 Applications
References
2 Entanglement
2.1 History of Quantum Entanglement
2.2 Meaning of Entanglement
2.3 The EPR Paradox
2.4 Mathematical Formulation of Quantum Entanglement
2.5 Applications of Quantum Entanglement
References
3 Application of Transport Theory to Quantum Acoustical Imaging
3.1 Introduction
3.2 Transport Phenomena
3.3 Transport Theory
3.4 Electrons, Phonons, Electron-Phonon Interaction
References
4 Quantum Technologies—Quantum Sensors and Quantum Imaging Systems
4.1 Introduction to Quantum Technologies
4.2 Quantum Acoustic Microphones
4.3 Quantum Ultrasound Transducer
4.4 Quantum Microscopy
References
5 Ultrasonic Force Microscope
5.1 The Principle of Ultrasonic Force Microscope
5.2 The Mechanical Diode Effect
5.3 Experimental Implementation of the Ultrasonic Force Microscope
5.4 Studies of the Ultrasonic Force Microscope Data
5.5 The Ultrasonic Force Images
5.6 Application of Ultrasonic Force Microscope to Nanofabrication
References
6 Sasers
6.1 SASER as a Form of Quantum Acoustical Imaging
6.2 Generation and Amplification of Terahertz Acoustic Waves
6.3 Theory of Electron Inversion and Phonon Amplification Produced in the Active SL by Optical Pumping
References
7 Nanoultrasound
7.1 Generation of Nanoacoustic Waves—Optical Piezoelectric Transducer (OPT)
7.2 Optical Detection of Nanoacoustic Waves
7.3 Quantum Acoustical Imaging/Nanoimaging
References
8 Atomic Force Acoustics Microscope
8.1 Introduction
8.2 Scanning Probe Technique and Nanoindentation
8.3 Vibration Modes of AFM Cantilevers
8.4 Linear Contact-Resonance Spectroscopy Using Flexural Modes
8.5 Flexural Vibration of Clamped-Free Beams
8.6 Contact Forces as Linear Springs and Dashpots
8.7 Imaging and Contrast Inversion
References
9 Quantum Acoustical Imaging Based on Phonons Entanglement
9.1 Phonons Entanglement for Quantum Acoustical Imaging
9.2 Method of Generation of Entangled Phonons
References
10 Superposition Principle
10.1 The General Principle
10.2 The History of Superposition Principle
10.3 Fourier Analysis and Superposition Principle
10.4 Superposition Principle and Boundary Value Problems
10.5 Some Examples of the Applications of the Superposition Principle
10.6 Interference and Superposition Principle
10.7 The Quantum Version of the Rayleigh Resolution Limit
References
11 Phonons Entanglement
11.1 Generation of Coherent Phonons Fields Using Impulsive Stimulated Raman Scattering (ISRS)
11.2 Experimental Results
References
12 Quantum Ultrasound Diffraction Tomography
12.1 Classical Ultrasound Diffraction Tomography
12.2 Quantum Concept of Tomography
12.3 Extension to Quantum Ultrasound Diffraction Tomography
12.3.1 Mathematical Formulation of Quantum Diffraction Tomography
12.4 Conclusions
References
13 Quantum Image Processing
13.1 Introduction
13.2 Quantum Image Models
13.3 Quantum Fourier Transform (QFT)
13.4 Conclusions
References