838 IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, VOL. 58, NO. 4, APRIL2009
Progress Toward a 1 V Pulse-Driven
AC Josephson Voltage Standard
Samuel P. Benz, Senior Member, IEEE, Paul D. Dresselhaus, Alain Rüfenacht, Norman F. Bergren,
Joseph R. Kinard, Senior Member, IEEE, and Regis Pinheiro Landim, Member, IEEE
Abstract—We present a new record root mean square (rms) out-
put voltage of 275 mV, which is a 25% improvement over the maxi-
mum that is achieved with previous ac Josephson voltage standard
(ACJVS) circuits. We demonstrate the operating margins for these
circuits and use them to measure the harmonic distortion of a
commercial digitizer. Having exceeded the threshold of 125 mV
rms for a single array of Josephson junctions, we propose and
discuss the features of an eight-array circuit that is capable of
achieving 1 V rms. We investigate the use of a resistive divider
to extend the ACJVS voltage accuracy to higher voltages. By the
use of a switched-input measurement technique, an integrating
sampling digital voltmeter, a resistive voltage divider, and ACJVS
synthesized sine waves as reference voltages, we characterize the
stability of a commercial calibration source for a few voltages up
to 2.7 V.
Index Terms—Digital–analog conversion, Josephson arrays,
quantization, signal synthesis, standards, superconductor–
normal–superconductor devices, voltage measurement.
I. I NTRODUCTION
S
INCE the invention of the pulse-driven Josephson digital-
to-analog converter in 1995 [1], an important goal has
been to increase the root mean square (rms) output of the
quantum-accurate synthesized waveforms to 1 V. Most audio-
frequency voltage calibrations that are performed with thermal
voltage converters use this amplitude. This large output voltage
is also important for increasing the signal-to-noise ratio of
other precision measurement applications. Ten years of con-
tinual research and development was required to increase the
output voltage from a few microvolts for a single junction
to 100 mV for dual-array circuits [2], [3]. The first practical
ac Josephson voltage standard (ACJVS) system was imple-
mented in the National Institute of Standards and Technology
(NIST) ac voltage calibration service in 2006 [4].
During the past two years, further improvements have been
made, particularly to the microwave design of the supercon-
ducting Josephson circuits, which have enabled circuits with
two arrays to generate rms amplitudes up to 220 mV [5],
[6]. In this paper, we present a new record output voltage of
Manuscript received June 6, 2008; revised August 14, 2008. First published
November 21, 2008; current version published March 10, 2009. The Associate
Editor coordinating the review process for this paper was Dr. Yi-hua Tang.
S. P. Benz, P. D. Dresselhaus, A. Rüfenacht, and N. F. Bergren are with
the National Institute of Standards and Technology, Boulder, CO 80305 USA
(e-mail: samuel.benz@nist.gov).
J. R. Kinard is with the National Institute of Standards and Technology,
Gaithersburg, MD 20899 USA.
R. P. Landim is with the National Institute of Metrology, Standardization,
and Industrial Quality (Inmetro), Rio de Janeiro, RJ 20261-232, Brazil (e-mail:
rplandim@inmetro.gov.br).
Digital Object Identifier 10.1109/TIM.2008.2007019
275 mV rms. Although it is an incremental improvement, the
result is particularly important because the circuit exceeds the
threshold of 125 mV rms for a single array. This allows us
to propose a practically achievable eight-array circuit that will
enable the direct synthesis of 1 V rms quantum-accurate wave-
forms. We describe the proposed 1 V circuit and present the
measured results at 275 mV, including fast Fourier transform
(FFT) measurements using a commercial digitizer at 1 kHz and
100 kHz frequencies. We also use these circuits to investigate a
measurement technique, based on a resistive divider, that might
be used to extend the ACJVS accuracy to higher voltages.
II. HIGHER VOLTAGE ARRAYS AND CIRCUITS
Because the output voltage of a single Josephson junction is
only 30 μV for a typical 15 GHz bias signal, series arrays of
junctions are required to achieve useful voltages in the millivolt
range. Unfortunately, the voltage that can be produced by a
single array is also limited because only a finite number of
junctions can be placed in series before junction dissipation
detrimentally attenuates the microwave bias signal along the
array [7]. The maximum rms voltage of a single distributed
array (with negligible capacitance) is independent of frequency
and is typically around 50 mV.
To further increase the voltage, two techniques have been im-
plemented: 1) an ac-coupled bias technique that allows multiple
arrays to be connected in series [8] and 2) improved microwave
designs that counteract the dissipation and allow more junctions
in a single array [5], [6]. In this paper, further improvements
were made to the microwave design that allowed the number
of junctions to be increased from 5120 to 6400 so that the
rms voltage per array increased from 110 mV to 137.5 mV.
More junctions were possible because the array transmission
line impedance was tapered even further (from 50 Ω at the input
to 22 Ω at the termination), whereas the previous circuits were
tapered to only 32 Ω [6]. The mean critical current and the mean
resistance of the junctions are 8.1 mA and 4.3 mΩ, which are
similar to previous circuits.
We used the ac coupling technique to double the output volt-
age by summing the voltage from two arrays. A simplified cir-
cuit schematic for the ac-coupling technique is shown in Fig. 1.
Commercial bitstream generators typically have a second com-
plementary data output (D−) that produces a bit sequence
that is the ones-complement of the data output (D+), which,
for our purposes, produces an analog waveform of inverted
polarity. DC blocking capacitors (acting as broadband high-
pass filters and audio-frequency stop-band attenuators) remove
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