![]() ![]() Background Basic concepts Īn inhomogeneous integral equation can be expressed as: In addition to its use in electrical engineering, the method of moments has been applied to light scattering and plasmonic problems. Many non-commercial and public domain codes of different sophistications are also available. īeing one of the most common simulation techniques in RF and microwave engineering, the method of moments forms the basis of many commercial design software such as FEKO. In the 1990s, introduction of fast multipole and multilevel fast multipole methods enabled efficient MoM solutions to problems with millions of unknowns. The method was further popularized by the introduction of generalized antenna modeling codes such as Numerical Electromagnetics Code, which was released into public domain by the United States government in the late 1980s. The development of the method and its indications in radar and antenna engineering attracted interest MoM research was subsequently supported United States government. Harrington published the seminal textbook Field Computation by Moment Methods on the moment method in 1968. Akilov for analogous numerical applications, Harrington has adapted the term for the electromagnetic formulation. While the term "the method of moments" was coined earlier by Leonid Kantorovich and Gleb P. ![]() In the same decade, the systematic theory for the method of moments in electromagnetics was largely formalized by Roger F. In the 1960s, early research work on the method was published by K. Ī scheme and radiation pattern of a log- spiral antenna, designed with a NEC-based modeling software In the late 1950s, an early version of the method of moments was introduced by Yuen Tze Lo at a course on mathematical methods in electromagnetic theory at University of Illinois. The concept was later shown to be equivalent to the Galerkin method. Rumsey has formulated these methods into the "reaction concept" in 1954. While Julian Schwinger and Nathan Marcuvitz have respectively compiled these works into lecture notes and textbooks, Victor H. Prior to this, variational methods were applied to engineering problems at microwave frequencies by the time of World War II. It is one of the most common methods in microwave and antenna engineering.ĭevelopment of boundary element method and other similar methods for different engineering applications is associated with the advent of digital computing in the 1960s. Green's functions and Galerkin method play a central role in the method of moments.įor many applications, the method of moments is identical to the boundary element method. The solutions are represented with the linear combination of pre-defined basis functions generally, the coefficients of these basis functions are the sought unknowns. ![]() This is done by using discrete meshes as in finite difference and finite element methods, often for the surface. Generally being a frequency-domain method, it involves the projection of an integral equation into a system of linear equations by the application of appropriate boundary conditions. It is used in computer programs that simulate the interaction of electromagnetic fields such as radio waves with matter, for example antenna simulation programs like NEC that calculate the radiation pattern of an antenna. The method of moments ( MoM), also known as the moment method and method of weighted residuals, is a numerical method in computational electromagnetics. The simulations are performed through the method of moments. Simulation of negative refraction from a metasurface at 15 GHz for different angles of incidence. ![]()
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