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IEEE Transactions on Applied Superconductivity

Microwave coupling of the Josephson junction arrays with an external source

Insang Song, Yunsung Huh, Gwangseo Park, E.-H. Lee, J.-W. Lee, S. Kwok, Joonhee Kang

Published Jun 1, 1997• 7 citations
Publisher

Abstract

We have fabricated a YBa/sub 2/Cu/sub 3/O/sub y/ (YBCO) array of five Josephson junctions designed with additional inductive coupling lines (AICLs). The junctions in this array were dc-biased in parallel to oscillate coherently in-phase and integrated with AICLs to improve the impedance matching between this array and external circuits such as a waveguide. The effect of AICLs was investigated by studying its influence on the current-voltage characteristics of the Josephson junction array (JJA) under external microwave irradiations with frequency of 22 GHz. The experimental results show that the behavior of the Shapiro-steps depends upon the effective inductance of AICLs which affects the total impedance and microwave coupling. We were able to obtain an oscillation frequency of about 73% of the maximum available frequency calculated from the characteristic voltage of the Josephson junctions in the array at a temperature of 12 K. By calculating the total impedance of the array, we obtained the suitable parameters of the array for microwave coupling with waveguide for various values of inductance, ac frequencies and number of Josephson junctions.

DOI
10.1109/77.621804

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In this paper we present new design of quasioptical Josephson oscillators: the Central Frequency/ Wideband design. In this design, tuning structures composed of inductances, radial stubs and quarter wave transformers are integrated with every junction of the array in order to tune out the junction capacitance and match the junction impedance to the antenna impedance for the efficient output power coupling. Each junction feeds an antenna and power from individual junctions is quasioptically combined. We present a variation of the design where a sub-array replaces every single junction of the array. Preliminary results for the array designed for 98 GHz fundamental frequency and fabricated in Hypres NIVA10xThth technology are presented. Introduction In recent years there has been a growing effort within the superconducting research community to develop oscillators based on Josephson junction arrays. 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A dramatic increase in performance, in terms of both the bandwidth and the coupling is possible with advanced sub-micron and high current density fabrication processes. Figure 3 shows the fabricated 492 GHz array. It employs 360 log-periodic antennas on a chip 6 mm X 6 mm in size, with integrated tuning structures on one arm of the antenna. All junctions are DC biased in parallel. The array periods are dx = 240 gm, dy = 264 gm. Unfortunately, this fabrication run did not yield working devices because of the minor problem during fabrication. New fabrication runs should be performed in the near future. Antenna-coupled lumped array A ready extension of the generic CFW design can be made for arrays at relatively smaller frequencies. Single junction can be replaced by a lumped parallel sub-array of junctions in order to increase the output power. The overall size of the sub-array must be much smaller than the wavelength at the desired operation frequency. 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Although the bandwidth of this design is rather narrow, it has a nice feature that it works not only at the designed frequency fo, but at a set of frequencies approximately given by the sequence fo, 3f0, 5fo, ...(2k4) f0. (1) Array from Fig. 4 was designed for the fundamental frequency of fo = 98 GHz. The fabrication process parameters were jc=983A/cm 2 , q=38fF/pm , A=12.2 gm , RN=16.4 11. In order to increase the available power, we have placed identical microstrip-coupled sub-array on the opposite arm of the antenna. The two sub-arrays feed the antenna in parallel. The schematic of the electrical circuit is given in Figure 5. The microstrip line was designed with impedance of Z=1.42 S2 and electrical length of 93° at 98 GHz. The measured dc I-V curve of the whole array reveals a series of seven resonant peaks (Figure 6a). 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Discussion and Summary We have presented a new Central Frequency/Wideband design of quasioptical Josephson arrays that effectively deals with the parasitic junction capacitances. Because of the independent tuning of individual junction capacitances, CFW oscillators would tolerate large scattering in process parameters. Further, because of impedance matching between the junctions and the antennas, these arrays would be very efficient sources. The major disadvantage of the CFA' design is the size of the unit cell, i.e. much smaller number of junctions can be utilized per given array area, compared to compact 2-D arrays. This disadvantage is offset by the array efficiency. First fabricated arrays show evidence of likely coherent array operation at a set of frequencies. The design promises Josephson submillimeter oscillators of unprecedented performance. Page 480 Fourth International Symposium on Space Terahertz Technology Acknowledgments We are pleased to acknowledge Hypres, Inc. for the fabrication of the antenna-coupled lumped-array oscillator. This work was supported by the Air Force Office of Scientific Research grant AFOSR-90-0233. Gordana Pance was partially supported by the IEEE Microwave Theory and Techniques Society Graduate Fellowship.

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A digital-to-analogue converter based on series arrays of high-temperature superconducting Josephson junctions can work properly when the microwave bias current distribution in large arrays is uniform. Unfortunately, the considerable microwave attenuation per overdamped junction with normal resistances RN0.1 results in a strong total attenuation of the microwave signal in a traditional layout. Also, the meander geometry of the array, necessary when using bicrystal junctions, disturbs the uniformity of the rf current, especially in the millimetre waveband. To overcome these drawbacks we coupled the meander array inductively to a parallel transmission line. The mechanism of microwave coupling in which both external and mutual frequency locking takes place was studied numerically. A circuit with a coplanar waveguide feed line was fabricated and successfully tested at an operating frequency of 30 GHz. A microstrip line with a small attenuation for pumping of junction arrays at frequencies up to 120 GHz was demonstrated.

Superconductor Science and Technology•Nov 1, 1999•2 citations

Influence of Interconnection and Biasing Configurations on the Operation of Josephson Junctions as Radiation Sources.

Michael R. Daniel, Martin Ashkin, M. A. Janocko

This final report of ONR Contract No. N00014-76-C-0609 describes some initial experimental work and then calculations on an analogue computer of properties of Josephson junctions used as a frequency agile source. The results of the calculations show that a junction may be used as a nearly ideal (zero impedance) dc voltage source with which to bias a second junction. The junctions must be isolated rf-wise from each other and the inductance level between them must not exceed about 10 to the minus 8 power H for operation at liquid helium temperatures. The second junction will then oscillate at a frequency determined by this bias voltage. Additionally the same junction bias source was shown to be capable of biasing a series array of junctions. The series array was shown to oscillate phase coherently at a frequency determined by the divided bias voltage across each junction. (Author)

•Sep 1, 1977•0 citations
We have fabricated a YBa/sub 2/Cu/sub 3/O/sub y/ (YBCO) array of five Josephson junctions designed with additional inductive coupling lines (AICLs). The junctions in this array were dc-biased in parallel to oscillate coherently in-phase and integrated with AICLs to improve the impedance matching between this array and external circuits such as a waveguide. The effect of AICLs was investigated by studying its influence on the current-voltage characteristics of the Josephson junction array (JJA) under external microwave irradiations with frequency of 22 GHz. The experimental results show that the behavior of the Shapiro-steps depends upon the effective inductance of AICLs which affects the total impedance and microwave coupling. We were able to obtain an oscillation frequency of about 73% of the maximum available frequency calculated from the characteristic voltage of the Josephson junctions in the array at a temperature of 12 K. By calculating the total impedance of the array, we obtained the suitable parameters of the array for microwave coupling with waveguide for various values of inductance, ac frequencies and number of Josephson junctions.
A high temperature superconducting YBa2Cu3Oy array of five Josephson junctions designed with additional coupling lines has been developed to demonstrate the effects of frequency locking and impedance matching for applications such as oscillators, mixers, and detectors. The Josephson self-radiation power was directly detected by a superheterodyne receiver, and Shapiro steps were also measured. The Josephson self-radiation properties reveal good quality of phase locking and microwave coupling with external circuits. The maximum self-radiation power of our array is about 50 pW which is several ten times higher than that of a single Josephson junction, and its peak point exactly satisfies the Josephson current-voltage relation. The Shapiro-step measurements show that the behavior of current-voltage curve depends on the effective inductance of coupling lines which affects the total impedance of Josephson junction array and microwave coupling. The Josephson oscillation frequency was obtained up to about 880 GHz which is 73% of the maximum available frequency calculated from the characteristic voltage of the Josephson junctions. Experimental results show that this type of Josephson junction array can improve the Josephson self-radiation power and increase the maximum detectable frequency.
We have integrated an array of five High-T/sub c/ Josephson junction oscillators with a Josephson detector junction of high resistance, e.g. 25 /spl Omega/. High impedance detectors are suitable in integrated superconducting receivers. We find the output power to be sufficient to modulate the detector junction with large Shapiro steps in the frequency range 200-700 GHz. The oscillator junctions were dc-biased in parallel and integrated in an inductive high frequency coupling circuit to oscillate coherently in-phase. The high frequency coupling circuit is evaluated through its influence on the current-voltage characteristic of the Josephson junctions.>
We fabricated a Josephson junction array with an additional inductive coupling line to detect the high frequency and power of Josephson self-radiation. The YBa2Cu3O y Josephson junctions are fabricated by a pulsed laser deposition method on bicrystal MgO substrates. We measured the submillimeter wave and the Josephson self-radiation power in an external waveguide system. The Josephson junction arrays showed the resistively shunted junction (RSJ)-like current–voltage characteristics and good frequency-locking of Josephson self-radiation. As the number of Josephson junctions increased, the maximum detected power was increased. We observed the maximum frequency of above 6 THz for Josephson self-radiation in the array with 11 Josephson junctions from the Shapiro steps under 22 GHz irradiation.
In this paper we present new design of quasioptical Josephson oscillators: the Central Frequency/ Wideband design. In this design, tuning structures composed of inductances, radial stubs and quarter wave transformers are integrated with every junction of the array in order to tune out the junction capacitance and match the junction impedance to the antenna impedance for the efficient output power coupling. Each junction feeds an antenna and power from individual junctions is quasioptically combined. We present a variation of the design where a sub-array replaces every single junction of the array. Preliminary results for the array designed for 98 GHz fundamental frequency and fabricated in Hypres NIVA10xThth technology are presented. Introduction In recent years there has been a growing effort within the superconducting research community to develop oscillators based on Josephson junction arrays. Submillimeter Josephson arrays with power levels of the order of 11,1W have been made at Stony Brook [1] and NIST [2]. Two-dimensional array of parallel biased Josephson junctions coupled to small antennas with quasioptically combined output power has been proposed as a promising approach for achieving larger power levels and reasonable radiation linewidths [3]. It has been shown that the performance of these arrays would critically depend on the way the Josephson junctions' capacitances are tuned out [4]. We have proposed arrays with microstrip tuning structures integrated with every junction as potentially the best solution RI Because of inherent frequency limitations of tuning circuits, these arrays are designed for one central frequency with the requirement of as large bandwidth as possible. This design will be referred to as the Central Frequency/Wideband (CFW) Design. Here we describe the basic CFW design and one of its modifications, and present preliminary results obtained from arrays fabricated in NIVA10x/Nb technology. Generic CFW array design The generic CFW design is presented in Figure 1. MS2 is a very short length transmission line whose inductance tunes out the junction capacitance. A radial stub at the end of MS2 serves as the broadband short. MS1 is the quarter wave transformer that matches the junction impedance to the antenna impedance. That way, all of the rf power produced by the junction is coupled to the * Present address: Conductus, Inc., 969 West Maude Ave, Sunnyvale, CA 94086 Page 478 Fourth International Symposium on Space Terahertz Technology antenna and radiated in the broadside direction. This design has successfully been used in SIS mixers [5] (see elsewhere in this issue). A detailed account of this and other applicable designs of tuning elements can be found in [6]. We have designed 492 GHz CFW arrays for the following parameters: critical current density je = 4000 A/cm, junction capacitance Cj = 60 fF/pm and junction area A = 71= . The impedance of the log-periodic antenna is around 79 on silicon substrate and is independent of frequency in the designed frequency range. Since there is a basic trade-off between the coupling and the bandwidth, careful design of the tuning elements provides a predicted bandwidth of 80 GHz with 75% power coupling at the central frequency of 492 GHz (Figure 2). The design of the tuning structure is performed in Touchstone [7] with effects of the superconducting kinetic inductance accounted for. The tuning element design values are: Z i = 18 CI, 1 1 = 62.5 pm (MS 1) and 12 = 3.5 pm, Z2 = 15 CI (MS2). The 360 junction array is predicted to deliver 2011W of RF power at 492 GHz. A dramatic increase in performance, in terms of both the bandwidth and the coupling is possible with advanced sub-micron and high current density fabrication processes. Figure 3 shows the fabricated 492 GHz array. It employs 360 log-periodic antennas on a chip 6 mm X 6 mm in size, with integrated tuning structures on one arm of the antenna. All junctions are DC biased in parallel. The array periods are dx = 240 gm, dy = 264 gm. Unfortunately, this fabrication run did not yield working devices because of the minor problem during fabrication. New fabrication runs should be performed in the near future. Antenna-coupled lumped array A ready extension of the generic CFW design can be made for arrays at relatively smaller frequencies. Single junction can be replaced by a lumped parallel sub-array of junctions in order to increase the output power. The overall size of the sub-array must be much smaller than the wavelength at the desired operation frequency. Usual tuning structures can be used to tune out the capacitance of the sub-array and to transform the small impedance of the sub-an-ay to the large antenna impedance. If an is composed of several antennas and sub-arrays biased in parallel, the power from different sub-arrays would be quasioptically combined. Figure 4a shows a single sub-array fabricated in Nb/A10x/Nb technology at Hypres, Inc. A compact parallel array of 64 Josephson junctions is placed on one arm of logperiodic antenna on a silicon substrate (Figure 4b). A microstrip transmission line is used as a coupling structure between the sub-array and the antenna. Its electrical length is somewhat bigger than 90° so that the excess portion tunes out the big capacitance of the sub-array and the 90° portion serves as an impedance transformer. Although the bandwidth of this design is rather narrow, it has a nice feature that it works not only at the designed frequency fo, but at a set of frequencies approximately given by the sequence fo, 3f0, 5fo, ...(2k4) f0. (1) Array from Fig. 4 was designed for the fundamental frequency of fo = 98 GHz. The fabrication process parameters were jc=983A/cm 2 , q=38fF/pm , A=12.2 gm , RN=16.4 11. In order to increase the available power, we have placed identical microstrip-coupled sub-array on the opposite arm of the antenna. The two sub-arrays feed the antenna in parallel. The schematic of the electrical circuit is given in Figure 5. The microstrip line was designed with impedance of Z=1.42 S2 and electrical length of 93° at 98 GHz. The measured dc I-V curve of the whole array reveals a series of seven resonant peaks (Figure 6a). A small amount of DC magnetic field was applied Fourth International Symposium on Space Terahertz Technology Page 479 along the chip surface to enhance the resonances. When no magnetic field is applied (Figure 6.b) one of the steps (5 counted from Vdc=0) has disappeared. The visible critical current (1.25mA , Fig. 6b) is much smaller than about 15mA expected from the size of the quasiparticle current rise at the gap voltage, which we attribute to noise. The approximate frequencies of resonant peaks are inferred from the I-V curve and are given in Table 1 below. Resonant step # Frequency [GI-14 81 2 129 3 210 4 243 5 356 6 405 7 518 Table 1. Resonant steps from the I-V curve (Figure 6) of the array in Figure 4. The first step is at the fundamental frequency fo = 81 GHz and is down-shifted from the designed 98 GHz value because of the slight discrepancy between the designed and obtained fabrication parameters. Steps #4 and #6 correspond to higher oscillator modes given by k=2 and k=3 (1). At these three frequencies, the two sub-arrays work coherently supplying the RF power to the antenna. The remaining resonant peaks roughly correspond to the sequence of modes with f0 resonant frequencies (2j-1) —2-, where j = 2, 3, 5 and 6 for the steps #2, #3, #5 and #7, respectively. In these modes, one sub-array supplies the RF power to the other sub-array, and practically no power is radiated through the antenna. From the size of the resonant steps in the oscillator modes we estimate that the available RF power is less than a RW. The experiments for coupling the array radiation to the off-chip SIS detector are in progress . For radiated power in the range ofp,W, a two-dimensional array of parallel biased antenna/sub-arrays should be employed. Discussion and Summary We have presented a new Central Frequency/Wideband design of quasioptical Josephson arrays that effectively deals with the parasitic junction capacitances. Because of the independent tuning of individual junction capacitances, CFW oscillators would tolerate large scattering in process parameters. Further, because of impedance matching between the junctions and the antennas, these arrays would be very efficient sources. The major disadvantage of the CFA' design is the size of the unit cell, i.e. much smaller number of junctions can be utilized per given array area, compared to compact 2-D arrays. This disadvantage is offset by the array efficiency. First fabricated arrays show evidence of likely coherent array operation at a set of frequencies. The design promises Josephson submillimeter oscillators of unprecedented performance. Page 480 Fourth International Symposium on Space Terahertz Technology Acknowledgments We are pleased to acknowledge Hypres, Inc. for the fabrication of the antenna-coupled lumped-array oscillator. This work was supported by the Air Force Office of Scientific Research grant AFOSR-90-0233. Gordana Pance was partially supported by the IEEE Microwave Theory and Techniques Society Graduate Fellowship.
A digital-to-analogue converter based on series arrays of high-temperature superconducting Josephson junctions can work properly when the microwave bias current distribution in large arrays is uniform. Unfortunately, the considerable microwave attenuation per overdamped junction with normal resistances RN0.1 results in a strong total attenuation of the microwave signal in a traditional layout. Also, the meander geometry of the array, necessary when using bicrystal junctions, disturbs the uniformity of the rf current, especially in the millimetre waveband. To overcome these drawbacks we coupled the meander array inductively to a parallel transmission line. The mechanism of microwave coupling in which both external and mutual frequency locking takes place was studied numerically. A circuit with a coplanar waveguide feed line was fabricated and successfully tested at an operating frequency of 30 GHz. A microstrip line with a small attenuation for pumping of junction arrays at frequencies up to 120 GHz was demonstrated.
This final report of ONR Contract No. N00014-76-C-0609 describes some initial experimental work and then calculations on an analogue computer of properties of Josephson junctions used as a frequency agile source. The results of the calculations show that a junction may be used as a nearly ideal (zero impedance) dc voltage source with which to bias a second junction. The junctions must be isolated rf-wise from each other and the inductance level between them must not exceed about 10 to the minus 8 power H for operation at liquid helium temperatures. The second junction will then oscillate at a frequency determined by this bias voltage. Additionally the same junction bias source was shown to be capable of biasing a series array of junctions. The series array was shown to oscillate phase coherently at a frequency determined by the divided bias voltage across each junction. (Author)