![]() One may see in photo of me as a child which is shown below, how the Smith chart mapping function changes my shape, but however mapping the straight lines into circle arcs, which may or may not go to infinity, depending on the position of my image in the impedance plane, the points of my head on the left are mapped out of the unit circle, tending to go far away while approaching the point (-1,0), while the right parts of my head are mapped inside of the unit circle. Conformal mappings are a kind of mapping which preserves the local angles. As one goes into the Left half plane the function maps the ( negative resistance) loads out of the unit circle, however still mapping the lines into circles arcs, some of them go towards infinity ( in many directions, depending on z). Let me start off by explaining how it works, the function (z-1)/(z+1) which defines the Smith chart maps the right half plane into the unit disk and maps circle arcs into circle arcs. I longed to make this approach easier while retaining its efficiency. The main idea behind me undertaking this task is rather simple, it has hitherto been extremely difficult to visualize infinity (as it may occur in active devices) on the planar 2D Smith chart. My first article on the new approach was published in IEEE Microwave and Wireless Components Letters in June 2011. My PhD 6 months stage in Mathematics (as a Telecom engineer in Valencia) gave me the motivation to try to provide chronicle aid to Smith charts. The solutions which have been purported thus far were based on difficult arithmetical manipulations which eventually lost many of the planar Smith Chart properties or the empirical constructions. The purpose of seeking an expansion was determined by the desire to have a unique chart capable of considering the negative impedances also, without sacrificing the usual benefits that the Smith chart has to offer. These loads often appear in active circuits and in lossy transmission lines with complex characteristic impedances. Hence, loads having a reflection coefficient of a magnitude greater than 1 cannot be plotted. To have a finite and practical size, the classical 2D Smith Chart is constrained to the unit circle. However all these 21 century models, although very inspiring, failed to extend in a simple and unitary model the passive and active circuits design on the Smith chart. These words propelled me to further my developments in the province of Smith Charts.įacing a new problem which failed to generate a solution out of the classical Smith chart, I started my endeavour by studying the approaches which deal with varied kinds of loads and I have seen that there were many 2D extensions of the Smith chart along with several 3D models presented during 2006-2009 in journals like IEEE Microwave Magazine or Microwave and Optical Technology. ![]() This is something I realised while pursuing my PhD in Telecommunications from Valencia an exchange student studying medicine opened my eyes to life when she said “ In the end no matter what life throws at me, I will try to get the best repute out of it”. You don’t always need highly successful people to teach you lessons, people you meet on a day to day basis can also inspire you to take career decisions which have the ability to give your life a completely different path.
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