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Stuart,
Can you give us the exact Kraus quote, or a reference, to see the 
context in which he made it? 
My 3rd edition of Antennas says:
"Although a charge moving with uniform velocity along a straight 
conductor does not radiate, a charge moving back and forth in simple 
harmonic motion along the conductor is subject to acceleration (and 
deceleration) and radiates." 
No talk there of discontinuities - they are not needed for radiation; a 
charge accelerating or decelerating at the centre of an infinitely long 
wire *will* radiate. 
73,
Steve G3TXQ
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