波是代表物理系统的时空行为,波特征可以构成某些动力学的基本部分。本书共四章。第一章讨论了振动和波的基本原理,描述了波动力学作为振荡传播的整体情况;第二章讨论了波的数学概念,波方程源于一些人们讨论的简单例子及其解的运动方程;第三章讨论了波的各种性质,每一个性质的基本原理都会用比较详细的数学公式来解释;第四章对与一些实战技术相联系的波的传播进行了简短的描述,但并未详细介绍这些技术。本书可供工程科学专业的本科生、工科类研究生及相关爱好者参考使用。
Preface
Author biography
1 Introduction
1.1 Oscillation and wave
1.2 Oscillation due to elastic force
1.2.1 Elastic force
1.2.2 Equation of motion
1.2.3 Oscillation as a solution to equation of motion
1.3 Frequency domain analysis of oscillation
1.3.1 Fourier transform
1.4 Wave
1.4.1 Oscillation to wave
References
2 Wave equations and solutions
2.1 Wave equation
2.1.1 Transverse waves
211.2 Longitudinal waves
2.1.3 Plane wave equation
2.1.4 Decaying wave
2.1.5 Some discussion on phase velocity
2.2 Wave solutions
2.2.1 Plane wave solutions
2.2.2 Paraxial wave
2.2.3 Amplitude and phase of waves
2.2.4 Superposition of waves and Fourier transform
References
3 Basic properties of waves
3.1 Reflection and refraction
3.1.1 Angles of reflection and refraction
3.1.2 Coefficient of reflection and transmission
3.2 Dispersion
3.2.1 String on an elastic medium
3.2.2 Decaying wave
3.2.3 Light in matter
3.2.4 Transverse wave in beam
3.2.5 Beads on a string
3.3 Interference
3.3.1 Optical interferometry
3.3.2 Acoustic interferometry
3.4 Diffraction
3.5 Doppler effect
References
4 Wave propagation
4.1 Group velocity
4.2 Resonator
4.3 Modulation
4.3.1 Amplitude modulation
4.3.2 Phase modulation
4.3.3 Frequency modulation
References
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