![]() ![]() and either must die at the hand of the other for neither can live while the other survives. and the Dark Lord will mark him as his equal, but he will have power the Dark Lord knows not. born to those who have thrice defied him, born as the seventh month dies. Simple L,C matching on 2D and 3D Smith chartsĬlick here to learn more about the 3D Smith Chart." The one with the power to vanquish the Dark Lord approaches. ![]() Click here to learn more.Įducational design mode, moving on r,x,g,b,constant magnitude of the reflection coefficient, stubs in 2D and 3D Smith chart, interactive highly reconfigurable interface which can ease the teaching and the understanding of both Smith and 3D Smith chart The prices are 49/99 euros while the customers may ask in special cases for discounts. The simultaneous display of a variety of parameters form imported touchstone files speeds up the analysis phase and helps in the optimizations of the high frequency devices. It is also and advanced analysis mode for S parameters, stability circles, power levels, group delays and quality factors making it a new software for the measuring stage or design stage of microwave devices. It is an ideal educational tool for the fast and simple understanding and matching use of both 2D and 3D smith charts in both Z/Y configurations when using resistances, capacitors, inductors, in series or shunt configuration, transmission lines or stubs. The 3D Smith chart tool produced by Andrei Muller (telecommunications engineering), Alin Moldoveanu (virtual reality prof.), Victor Asavei (computer graphics prof) with the web&deployment lead of Cristian Fleischer (software engineering) uses in a unique interactive way the compact capabilities of the 3D Smith chart. ( drawing Dolores Gonzalez Demchenko based on a dual vision of infinity on 2D and 3D Smith charts- Andrei Muller) The idea of crossing the South hemisphere to meet at infinity in the South pole refreshes them and they become energized again continuing renewed and awaken their journey to a refashioned reality while meeting happy at infinity in the South pole young again. When their reflection coefficients magnitude reaches 1 they get energy-less at Equator. ![]() The girl goes again inductive (East) while the boy capacitive (West). When they reach the contour of the Smith chart ( reflection coefficient magnitude=1) they waste their energy and can't continue thus they just long to meet again following the path chosen and just dream to see each other again at infinity in different directions of the horizon.įig 1. b) On the 3D Smith chart they start at the North pole (perfect match corresponding to origin in 2D) with their back to each other. a) On a 2D Smith chart two persons start on the center of the chart and propose each other to meet at infinity, the girl taking the inductive route, while the boy the capacitive route going always on the same line with the back to each other. The construction is presented by the authors of the 3D Smith chart tool in Microwave Journal, IEEE Transactions n Microwave and Techniques, IEEE Microwave and Wireless Letters or Electronics Letters.įig 1. East inductive, West capacitive.Ĭonstruction : it uses an ingenious trick of group theory of "inversive geometry" which treats Mobius transformations as (z-1)/(z+1) just as a subclass of the inversive transformations-all together these transformations long for a mapping on a sphere in order to map always circles into circles, in 2D they always fail to form a group, thus need a compact surface to live on in order that circles should be mapped to circles, so that they should all together form a single family -infinite lines are just circles too when mapped on the sphere. The 3D Smith chart generalizes the 2D Smith chart in the sense that all circles which never met in 2D meet in the South hemisphere which becomes the "home" of active circuits (exhibiting negative resistance) while the North hemisphere the one of passive circuits. The circuits which are mapped out of the unit circle Smith chart represent circuits with negative resistance which occur in active circuits design( amplifiers, transistors, oscillators) or in circuits using complex characteristic impedances. On a 2D Smith chart one is bounded by the unit circle, all the circles which never get together on a 2D Smith chart "long" to meet again but never do since the points are thrown at infinity in all directions. ![]()
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