By David B. Davidson
This hands-on creation to computational electromagnetics (CEM) hyperlinks theoretical insurance of the 3 key tools - the FDTD, mother and FEM - to open resource MATLAB codes (freely to be had on-line) in 1D, 2nd and 3D, including many sensible tricks and advice gleaned from the author's 25 years of expertise within the box. up-to-date and largely revised, this moment variation features a new bankruptcy on 1D FEM research, and prolonged 3D remedies of the FDTD, mother and FEM, with completely new 3D MATLAB codes. assurance of higher-order finite components in 1D, second and 3D is usually supplied, with aiding code, as well as an in depth 1D instance of the FDTD from a FEM viewpoint. With working examples in the course of the publication and end-of-chapter difficulties to help realizing, this can be excellent for pro engineers and senior undergraduate/graduate scholars who have to grasp CEM and keep away from universal pitfalls in writing code and utilizing present software program.
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Additional resources for Computational Electromagnetics for RF and Microwave Engineering
2) (which yields magnetoquasistatics). A very detailed discussion of these approximations and their use may be found in . However, we will not pursue this far in this book, which deals almost entirely with full-wave methods. There is another class of numerical method for solving the Maxwell equations, generally called the asymptotic techniques. These methods require fundamental approximations in the Maxwell equations, the validity of which increases asymptotically with frequency. Examples are physical optics (PO), geometrical optics (GO) and the uniform theory of diffraction (UTD).
We will see that this is a major problem with all the full-wave computational methods, although the details do vary slightly from method to method. For an MoM volumetric mesh, required by an inhomogeneous structure, the scaling is O((kd)9 ); this is so large that such methods are usually very limited in application. • Some MoM formulations, in particular those based on the magnetic field integral equation (MFIE), require the surface to be closed. This is frequently impractical. In conclusion, the MoM is the preferred method for frequency domain radiation and scattering problems involving perfectly or highly conducting wires and/or surfaces.
Simplifications in the formulation Currents flowing on thin wires are usually approximated by current filaments (in other words, wire thickness is ignored). This can cause problems when the wire thickness no longer justifies this assumption. Once we have an acceptable approximate field problem, it will then be solved using an approximate numerical solution. Once again, there are many pitfalls in this next step. Finite discretization This is usually the biggest single limitation on the accuracy of numerical techniques in electromagnetics.