This book is a continuation of 'Acoustic and Elastic Wave Fields in Geophysics, Part I' published in 2000. The second volume is dedicated to propagation of linear plane, spherical and cylindrical acoustic waves in different media. Chapter 1 is devoted to principles of geometric acoustic in plane wave approximation. The eikonal and transport equations are derived. Ray tracing and wavefront construction techniques are explained. Chapter 2 deals with dynamic properties of wave fields. The behavior of pressure and displacements amplitudes in zero approximation is analysed in two ways: using Poynting vector and solving the transport equation. This chapter contains several examples related to shadow zones and caustics. In Chapter 3 using the results of analysis of high-frequency wave kinematics and dynamics some fundamental aspects of Kirchhoff migration are described. Chapters 4 and 5 are devoted to propagation of plane waves in media with flat boundaries in the case of normal and oblique incidence. Special attention is paid to the case when an incident angle exceeds the critical angles. Formation of normal modes in the waveguide is discussed. Chapter 6 deals with a spherical wave reflection and refraction. The steepest descent method is introduced to describe the behavior of reflected, transmitted, head and evanescent waves. In Chapter 7 propagation of stationary and transient waves in a waveguide formed by a flat layer with low velocity are investigated. Normal modes and waves related to the branch points of integrands under consideration are studied. Dispersive properties of normal modes are discussed. Chapter 8 describes wave propagation inside cylinder in acoustic media. Several appendices are added to help the reader understand different aspects of mathematics used in the book.
Alexander Murray has long had an intellectual interest in the history of religion - struggling between his inbuilt anti-clericism and his pronounced monastic leanings. The five essays in Conscience and Authority in the Medieval Church take on this dialectic, addressing the difficult relationship between private conscience and public authority in the twelfth and thirteenth centuries. In any organization, political, military, commercial, or religious, the relationship of conscience and authority is always potentially fraught, and can create dilemmas both for those in authority and those without. This volume records how our European predecessors approached and dealt with the same dilemmas as we face in the modern world.
Authors Bob Alexander and Donaly E. Brice grappled with several issues when deciding how to relate a general history of the Texas Rangers. Should emphasis be placed on their frontier defense against Indians, or focus more on their role as guardians of the peace and statewide law enforcers? What about the tumultuous Mexican Revolution period, 1910-1920? And how to deal with myths and legends such as One Riot, One Ranger? Texas Rangers: Lives, Legend, and Legacy is the authors’ answer to these questions, a one-volume history of the Texas Rangers. The authors begin with the earliest Rangers in the pre-Republic years in 1823 and take the story up through the Republic, Mexican War, and Civil War. Then, with the advent of the Frontier Battalion, the authors focus in detail on each company A through F, relating what was happening within each company concurrently. Thereafter, Alexander and Brice tell the famous episodes of the Rangers that forged their legend, and bring the story up through the twentieth century to the present day in the final chapters.
The work is aimed at the review of hot topics in modern light scattering and radiative transfer. A special attention will be given to the description of the methods of integro-differential radiative transfer equation solution. In particular, the asymptotic radiative transfer and the method of discrete ordinates will be considered. A comprehensive review of light absorption in the terrestrial atmosphere will be given as well. The inverse problem solution will be reviewed as well.
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