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A first-order differential equation for the voltage reflection coefficient of a non-uniform line is obtained and it is shown how this equation may be used to calculate the resonant wave-lengths of tapered lines.

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The re se a rc h reported in th is docum ent w as made p o s s ib le by su pport exten d ed to the U n iv e rsity of I llin o is , C oordin ated S c ie n c e L abo rato ry , under the Joint S e rv ic e s E le c tro n ic s Program by the D epartm ent of the Army, D epartm ent of the N avy (O ffice of N av al R e se a rc h ), and the D epartm ent of the Air Force (O ffice of S c ie n tific R e se a rc h ), and by the Advanced R e se arch P ro jects Agency under D epartm ent of the Army co n tract DA-2 8 -0 4 3 -A M C -00 07 3 (E)