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This report discusses the theory, construction, and operation of Reference-WaveforrQ Generators using a tunnel diode transition-waveform generator driving 4. 65 meter (15 foot), 3. 10 meter (10 foot), and 1. 55 meter (5 foot) liquid-dielectric uniform lossy coaxial lines to produce known 0. 2 volt transition waveforms across 50 ohms with (10-90%) transition times from 205 to 560 picosecond. Each resultant Available-Waveform is characterized in terms of its departure from the step response of the uniform lossy coaxial line operating into a 50 ohm load. The liquid dielectric solutions are dispersive with relaxation times of the order of 4 picoseconds in which heptane is the solvent and the ketones, butanone, heptanone and octanone are the solutes in concentrations ranging from 0. 25to 2-molal.

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Time domain ste p res ponse expansions with coe ffi cient algorithms are de veloped from the system fun ction of a doubly termina ted skin effect lossy coaxial transmission line. Three models of series impedance valid for (a) high frequency, (b) high and intermediate frequen cy, (c) high and low frequency , are in corporated into the system fun ction. The system fun ction is ex panded via the method of polyno• mial expansions of analytic fun ction s through generating relations and inve rted term by term into the tim e domain throu gh the inverse Laplace transform. Step respo nses for time domain refle ctometry and transm iss ion are developed , computed, and compared with experimental res ults.