Complex Function In Solving The Problem Of Electromagnetic Field

Electromagnetic field is an important part of the material world, one of the production and practice, and science and technology, there is a substantial amount of EMF-related issues.18 century, in the industrial revolution, driven by electromagnetic fields of study are very rapid development. Coulomb found that electric action law, Oersted found that current magnetic effect, Faraday discovered electromagnetic induction law, Ampere current hypothesis put forward elements, Maxwell summed up by the electromagnetic law of Maxwell's equations and electromagnetic waves predicted the existence of electromagnetic waves Hertz proved the existence and electromagnetic waves and light waves system One of. Theory makes a satisfactory solution to the problem of electromagnetic field in practice more widely.The development of communication technology communication mode of transmission of electromagnetic waves from two-wire, coaxial cable, to the metal waveguide until the microstrip line. Conformal transformation can be strictly used to solve transmission line problems, many works have also mentioned using conformal mapping, but also alleged that the conformal transformation method is too complicated, so did not elaborate on the writings of this approach.According to the teaching practice and the development of microwave technology, this paper focuses on solving complex function in the application of magnetic field problems, including:1. The application of plural-phase alternating current method of principle, the textbooks are involved in the handling method of sinusoidal phasor quantity, but why the principle of this approach is not particularly clear description of the textbook to complete the master's thesis is given in the process of using the phasor sine calculation method makes the deal more favorable deduction.2. Conformal mapping with special boundary conditions to solve the electrostatic fields, electric potential field in three-dimensional space using the inverse radius vector method gives power to deal with such issues as law and the strict mathematical solution.3. The transmission line theory, summed up a set of learning an effective way of electromagnetic waves, in which to understand the meaning of reconciliation equation wave equation derived from the results of several parameters such as reflection coefficient, VSWR, the application of the propagation constant. Reflection coefficient can be particularly difficult to understand the transmission theory of the three impedance matching conditions; standing wave ratio is the link to contact theory and experiment; and propagation constant velocity and dispersion is to discuss the key issues.4. Dealing with major problems of microstrip transmission line is to calculate the distributed capacitance of microstrip lines, transmission line project to solve the problems generally use the approximate formula, the use of conformal mapping to solve problems electromagnetic wave transmission in the microstrip line results become more stringent, the article analyzes capacitance of microstrip line on several commonly used method for calculating theoretical results obtained and verified by experiment and simulation, these results also provide a rigorous design of microwave devices theoretical formula.