The gravitational lenses of the three nearest stars, Alpha Centauri A, B and C (Proxima Centauri), are studied in this paper. For each star, the minimal focal distance is found, and turns out to equal 679.263, 563.485 and 112.138 AU, respectively, plus or minus the (large) uncertainties deriving from the uncertainties in the estimates of the star masses and radii. A comparison of these three minimal focal distances against the corresponding value for the Sun (550 AU, or, more correctly, 548.230 AU) is then made, but it is clearly pointed out that all these minimal focal distances are just the theoretical values given by Einstein's deflection formula for the corresponding “naked star”, i.e. the star as if it had no corona around! The study of the true focal distances that follow from taking the corona into account is much more difficult and uncertain, and has to be delayed to further research. For the naked stars, we study the deflection of radio waves for five different frequencies: the hydrogen line at 1.420 GHz, the water maser at 22 GHz, NASA's Interstellar Probe (ISP) telecommunication frequency at 32 GHz (K a band), the Cosmic Microwave Background peak frequency at 160.378 GHz and finally the positronium frequency at 203.385 GHz. For each frequency the antenna patterns of the three naked stars gravitational lenses are given. Finally, all the above data are derived also for the fourth star in increasing distance from the Sun, Barnard's star.
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