In homogeneous media, electromagnetic quantities vary smoothly and continuously. At an interface between dissimilar media, however, it is possible for electromagnetic quantities to be discontinuous. T...In homogeneous media, electromagnetic quantities vary smoothly and continuously. At an interface between dissimilar media, however, it is possible for electromagnetic quantities to be discontinuous. These discontinuities can be described mathematically as boundary conditions and used to to constrain solutions for the associated electromagnetic quantities. In this section, we derive boundary conditions on the electric field intensity E .
In homogeneous media, electromagnetic quantities vary smoothly and continuously. At an interface between dissimilar media, however, it is possible for electromagnetic quantities to be discontinuous. T...In homogeneous media, electromagnetic quantities vary smoothly and continuously. At an interface between dissimilar media, however, it is possible for electromagnetic quantities to be discontinuous. These discontinuities can be described mathematically as boundary conditions and used to to constrain solutions for the associated electromagnetic quantities. In this section, we derive boundary conditions on the electric field intensity E .
In some cases, we can guess the solution; for example, by trying different elementary functions, we can discover that the above differential equation can be solved by f(x)=Aexp(x). Certain cla...In some cases, we can guess the solution; for example, by trying different elementary functions, we can discover that the above differential equation can be solved by f(x)=Aexp(x). Certain classes of differential equation can be solved using techniques like Fourier transforms, Green’s functions, etc., some of which will be taught in this course.
