• DocumentCode
    954932
  • Title

    On some aspects of superconducting quantum interferometer optimization

  • Author

    Vasiliev, B.V. ; Danilov, V.V. ; Likharev, K.K.

  • Author_Institution
    IEEE TMAG
  • Volume
    11
  • Issue
    2
  • fYear
    1975
  • fDate
    3/1/1975 12:00:00 AM
  • Firstpage
    743
  • Lastpage
    748
  • Abstract
    A problem is considered of optimizing the following parameters of the single-junction quantum superconducting fluxmeter: 1. The full range output signal of the magnitometer ΔA. 2. The derivative of the signal characteristic \\gamma = |frac{\\partial A}{\\partial \\phi_{e}}| 3. The minimum detected flux change δφ For the hysteresis case ( \\ell =2\\pi L_{R}I_{o}\\phi _{o}^{-1} > 1 ) the following results have been obtained. In the resistive mode ( q= wL_{R}R^{-1} < 1 ) the maximum value ΔA equals ( \\phi _{o/2})[\\Delta _{k}Q(\\pi L_{R}C_{T}^{-1}]^{1/2} where the maximum value of the function \\Delta _{k}(\\ell ) is about unity, when \\ell \\approx 1.5 . A satisfactory agreement has been obtained between the measured and calculated dependences of ΔA on k and CTparameters for the fluxmeter having a pumping frequency of about 10 MHz and the high-Q circuit. With detuning \\xi_{o} conditioning either a triangular or trapezoidal waveform pattern, γ is as usually given by \\gamma _{o}=frac{w}{k}\\sqrt {frac{L_{t}}{L_{R}}} If the detuning is great and negative a signal amplitude may take a rectangular form, and γ in this case is much more larger than γo. The experimentally obtained value \\delta \\phi =10^{-11} Gs.cm2is near enough to the known theoretical estimation. Calculations indicate that for a nonhysteresis case one may have the following formulae: \\gamma _{\\max }/\\gamma _{o} = l/q \\gg 1 and (\\delta \\phi)_{\\min} \\simeq 1.2 (L_{R}/\\ell ) (4\\Delta fk_{B} T/R)^{1/2} giving (\\delta \\phi)_{\\min}/(\\Delta f)^{1/2} \\approx 10^{-14} Gs.cm2/ \\sqrt {Hz} when \\ell \\approx 1 , L_{R}= 10^{-10} H (not taking into account the noise of the amplifier). The magnetometers were employed to search for the electrical dipole moment of the electron in the macroscopic experiment, in low temperature paramagnetic thermometry and also to test the degree of magnetic field shielding with a hollow superconducting screen.
  • Keywords
    Magnetometers, superconducting; Circuits; Electrons; Estimation theory; Frequency measurement; Hysteresis; Magnetic noise; Magnetometers; Paramagnetic materials; Superconducting device noise; Temperature;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/TMAG.1975.1058688
  • Filename
    1058688