Modeling of tunnel diode oscillators

The detailed behavior of tunnel diode LC oscillators is calculated by three different methods and compared with experiment. We present both analytic formulas and numerical methods which give corrections to the oscillator frequency calculated using the expression 1/(LC)1/2 and show that these corrections are often not negligible. The calculations also yield rf amplitude, bias current dependence, and other details necessary for the full realization of the performance of LC oscillators as transducers of pressure, temperature, and other physical quantities.

[1]  M. Banton Gravitational flow of superfluid helium through small orifices , 1974 .

[2]  H. J. Hagger,et al.  Parametric and tunnel Diodes , 1964 .

[3]  R. T. Harley,et al.  A simple magnetic thermometer for use below 1 K , 1970 .

[4]  M. Strongin,et al.  Inductive transition of niobium and tantalum in the 10-MHz range. I. Zero- field superconducting penetration depth , 1974 .

[5]  G. E. Watson,et al.  Simple cryostat for measuring rf susceptibility from 4.2 to 300 K , 1975 .

[6]  L.C.L. Yuan,et al.  Superheated superconducting suspension as transition radiation detector , 1976 .

[7]  F.W. Grover Tables for the Calculation of the Mutual Inductance of Any Two Coaxial Single-Layer Coils , 1933, Proceedings of the Institute of Radio Engineers.

[8]  W. Wolf,et al.  Magnetic Susceptibility Measurements with a Tunnel Diode Oscillator , 1970 .

[9]  A new detector of neutrons , 1978 .

[10]  K. Andres,et al.  Nuclear cooling in PrCu6 , 1972 .

[11]  Forman S. Acton,et al.  Numerical methods that work , 1970 .

[12]  D. Naugle,et al.  Temperature dependence of the electromagnetic response function for strong-coupling amorphous Bi films , 1976 .

[13]  P. Hagedorn Non-Linear Oscillations , 1982 .

[14]  R. L. Mills,et al.  Thermal expansion of compressed He II , 1965 .

[15]  F. Rothwarf,et al.  Instrumentation for Measuring Magnetic Transitions in the Temperature Range 4.2–300 K , 1972 .

[16]  H. Meyer,et al.  The temperature dependence of the dielectric constant in solid H2, D2,4He, and Ne , 1974 .

[17]  J. Jarvis,et al.  MEASUREMENT OF (deltaP/deltaT)/sub v/ AND RELATED PROPERTIES IN SOLIDIFIED GASES. I. SOLID $sup 4$He. , 1968 .

[18]  Woo Foung Chow,et al.  Principles of Tunnel Diode Circuits , 1964 .

[19]  A. Briggs,et al.  A new method for measuring the osmotic response function of3He-4He mixtures near the tricritical point , 1977 .

[20]  C. V. Degrift A sensitive displacement transducer using an extremely reentrant 84 MHz cavity oscillator , 1974 .

[21]  E. Yarmchuk,et al.  Counterflow in rotating superfluid helium , 1979 .

[22]  Maurice Yunik,et al.  Design of modern transistor circuits , 1973 .

[23]  H. Notarys ELECTRIC FIELD SUPPRESSION OF THE LAMBDA POINT IN LIQUID HELIUM. , 1968 .

[24]  H. Meyer,et al.  Density, Coefficient of Thermal Expansion, and Entropy of Compression of Liquid Helium-3 under Pressure below 1.2°K , 1966 .

[25]  W. Weyhmann,et al.  A Tunnel Diode NMR Spectrometer , 1973 .

[26]  A. Kakizaki,et al.  Thermodynamic properties of3He-4He mixtures nearTλ* , 1976 .

[27]  Craig T. Van Degrift,et al.  Tunnel diode oscillator for 0.001 ppm measurements at low temperatures , 1975 .

[28]  David M. Lee,et al.  Phase Separation and the Superfluid Transition in Liquid He 3 - He 4 Mixtures , 1967 .

[29]  B. M. Oliver,et al.  Measurements of the plasma sheath capacitance using a simple tunnel diode oscillator , 1972 .

[30]  D. Naugle,et al.  Effects of a nonuniform current distribution on the kinetic inductance of a thin superconducting film , 1974 .