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Periodic switching

Another important effect arises when a junction is a part of a device operating with frequency f and is switching with a period tex2html_wrap_inline2059 . If tex2html_wrap_inline2061 , the bias current fully relaxes to its equilibrium value between successive SFQ pulses and value of the negative change tex2html_wrap_inline2063 in (gif) is not important. When we begin to lower bias voltage, l/r becomes comparable with tex2html_wrap_inline1705 and the junction switches from a somewhat smaller value of the bias current. This effect of self-influence can be analyzed by choosing tex2html_wrap_inline1893 in the following form:

  equation647

The change in bias current exactly before the next flip is given by tex2html_wrap_inline2071 :

  equation653

In the most interesting case of tex2html_wrap_inline1945 , tex2html_wrap_inline2075 (gif) can be crudely estimated as

  equation666

This is a natural result: a junction letting through f SFQs per second induces average voltage tex2html_wrap_inline1881 applied against the biasing voltage. Requiring that tex2html_wrap_inline2081 we get

equation673

resulting in the power dissipation of

equation677

per biased junction. ``Efficiency'' estimate (gif) in this case is:

equation682

In practice one would not want to sacrifice more than a fraction of the bias margin (gif) and, since typically it is close to tex2html_wrap_inline2083 , tex2html_wrap_inline2085 should be always significantly smaller than 0.3. For tex2html_wrap_inline2087 and tex2html_wrap_inline2089 the minimal bias voltage can be estimated as tex2html_wrap_inline2091 and the corresponding minimal dissipated power for a biasing current tex2html_wrap_inline2093 as tex2html_wrap_inline2095 ( for a biasing current tex2html_wrap_inline2093 ) per biased junction.



Alexander Rylyakov
Fri May 23 18:57:25 EDT 1997