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Dealing with electromagnetic (EM) fields and microwaves for the first time, many students have problems to get an idea of the fields and their behavior in transmission-line structures and components. To reduce these barriers, animations generated by a time-domain field simulator can be used to demonstrate some basic time- and space-dependent properties of EM waves. In this paper, the application of a two-dimensional transmission-line matrix (2D-TLM) code for this purpose is described. Starting points are some introductory animations of basic wave propagation, e.g., in a parallel-plate waveguide, the incidence of a wave onto a lossy wall (skin effect), or the excitation of a wave in a dielectric slab (dielectric line). Later on, the fields in a number of transmission-line components like couplers or filters can be demonstrated in a very nice way. Further applications of this tool are found in demonstrating basic problems of electromagnetic compatibility like penetration through a metal shielding or through openings in a shell including resonance effects. Such animations are shown during the lectures using a video projector. In addition, the examples are offered to the students on a Web page both as animated gifs and as applications files for a 2D-TLM program to repeat and/or modify the experiment.