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We present high resolution VLA images taken at the wavelengths of lambda 20cm, lambda 6 cm, and lambda 3.6 cm in the vicinity of the pulsars PSR B1706-44(PSR J1709-4428) and PSR B1643-43 (PSR J1646-4346). Both of these pulsars areyoung (<30,000 yrs) and have large spin-down luminosities (e+35 erg/sec) andhence are good candidates to search for extended synchrotron nebula excited bythe relativistic pulsar wind. For PSR B1643-43 we found evidences of a4'comet-shaped nebula, suggestive of a synchrotron ``wake'' left by a fastmoving pulsar. PSR B1706-44 appears surrounded by a spherical nebulaapproximately 3 ' in diameter. Based on their morphology, the detection ofsignificant linear polarization (>20%), and their flat radio spectra(alpha=0.25-0.3, where S_nu aprox nu^-alpha) we argue that these are windnebulae powered by the rotational energy loss of the respective pulsars

Pulsar Wind Nebulae around the Southern Pulsars PSR B1643−43 and PSR B1706−44