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Linear wave theory is the core theory of ocean surface waves used in ocean and coastal engineering and naval architecture. The treatment is kept at a level that should be accessible to first year undergraduate students and does not require more than elementary calculus, probability and statistics. Part A will cover the linear theory of regular ...
THE PHYSICS OF WAVES HOWARD GEORGI Harvard University Originally published by PRENTICE HALL Englewood Cliffs, New Jersey 07632 °
Chapter 1 presents fundamental laws and equations for electromagnetic theory. Chapter 2 is devoted to the treatment of transmission line theory. Electromagnetic waves in media are stud- ied in Chapter 3 with thekDBsystem developed to study waves in anisotropic and bianisotropic media.
This model is called random linear wave theory. As the name suggests, the theory requires some understanding of probability theory and a very short review of the necessary concepts are introduced in Appendix A. The first step towards the random model is to consider a surface made up by a finite sum of plane waves. 1.
Boundary Conditions: 1. On an impervious boundary B(x;y;z;t) = 0, we have KBC: *v ¢n^ = r`¢ ^n = @n = * U ‡ *x;t ¢n^ *x;t · = Un on B = 0 Alternatively: a particle P on B remains on B, i.e. B is a material surface; e.g. if P is on B at t = t0, i.e. B(~xP;t0) = 0; then B(~xP(t);t0) = 0 for all t; so that, following P, B = 0. DB Dt = @B @t +(r`¢r)B = 0 on B = 0For example, °at bottom at ...
This chapter reviews planar optical waveguides, which are the key devices to construct integrated optical circuits and semiconductor lasers. Generally, rectangular waveguides consist of a square or rectangular core which is surrounded by a cladding with lower refractive index than that of the core.
Key features include: A unified treatment of wave phenomena; Numerical techniques using MATLAB; Both mechanical and electrical waves are described; Necessary mathematics required to understand the material summarized within; Only prerequisite is an introductory course in calculus.
