Acoustic and Elastic Wave Fields in Geophysics, Vol. 1 Book

	Introduction
	List of Symbols
Ch. 1	Newton's laws and parlide motion
1	Newton's laws	1
2	Motion of system of particles	13
Ch. 2	Free and forced vibrations
1	Hooke's law for springs	21
2	Free vibrations of the system: mass-spring	23
3	Forced vibrations of the system: mass-spring	33
4	Principles of measuring vibrations	43
Ch. 3	Propagation
1	Propagation of waves along a system of masses and springs	49
2	Solution of 1-D wave equation. Boundar conditions	56
3	Transversal waves in a spring	87
Ch. 4	Basic equations for dilatational waves
	Introduction	99
1	Wave phenomena in gas and fluid	100
2	Wave equation and boundary conditions for dilatational waves	118
3	The kinetic and potential energy of the wave flux of the energy. Poynting vector	129
4	Boundary value problem. Theorem of uniqueness	138
5	Gravitational waves in a fluid	146
Ch. 5	Waves in homogeneous medium
1	Spherical waves from an elementary source	157
2	Cylindrical waves from linear source in homogenous medium	182
3	Plane waves in homogeneous medium	194
Ch. 6	Interference and diffraction
1	Superposition of waves in an uniform medium, caused by a system of primary sources	205
2	Helmholtz formula	226
3	Kirchhoff diffraction theory	235
4	Fraunhofer and Fresnel diffraction	245
5	Helmholtz-Kirchhoff formula	265
6	Huygens-Fresnel principles	274
7	Relationship of potential with initial conditions. Poisson's formula	288
8	Transition to geometrical acoustics	298
9	Eikonal and transportation equations	309
Ch. 7	Superposition of sinusoidal waves with different frequencies and wave lengths
1	Wave group. Phase and group velocities	323
2	Superposition of sinusoidal waves and the method of stationary phase	338
Ch. 8	Principles of geometrical acoustics
	Introduction	365
1	Rays and their general features	365
2	Behavior of rays when velocity is a function of one cartesian coordinate	380
3	Behavior of rays when velocity is a function of one coordinate [tau]	397
4	Rays near interfaces	400
5	Time fields	420
App. 1	Vector algebra	426
App. 2	Scalar field and gradient	439
App. 3	Vector fields	443
App. 4	Complex numbers	471
App. 5	Linear ordinary differential equations with constant coefficients	480
App. 6	Fourier series	487
App. 7	Fourier integral	498
App. 8	Duhamel integral	508
	References	510