Design and Characterization of a Sideband Separating SIS Mixer for GHz

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15th International Symposium on Space Terahert Technology Design and Characterization of a Sideband Separating SIS Mixer for 85-115 GHz V. Vassilev, V. Belitsky, C. Risa,cher, I. Lapkin, A. Pavolotsky, E. Sundin Onsala Space Observatory, Chalmers University of Technology t Institute of Applied Physics RAS, Nizhnij Novgorod, Russia Abstract This work presents results of the development and measurements of a heterodyne sideband separating SIS mixer for 85-115 GHz band. The sideband separation is achieved by using a quadrature scheme where a local oscillator (LO) pumps two identical mixer junctions with 90 0 phase difference. A key component in the mixer is a waveguide to microstrip double probe transition used as a power divider to split the input RF signal and to provide transition from waveguide to microstrip line. The double probe transition enables the integration of all mixer components on a single compact substrate. The design also involves coupled lines directional couplers to introduce the LO power to the mixer junctions. An additional pair of SIS junctions is used to provide termination loads for the idle ports of the couplers. Several mixer chips were tested and similar and consistent performance was obtained. The best single sideband noise temperature is below 40 K with IF bandwidth 3.4-4.6 GHz. The sideband suppression ratio is better than 12 db for both sidebands across the entire RF band. The mixer was also successfully tested over a 4-8 GHz IF band. Introduction Any mixer receiving narrow band signals provides a higher signal-to-noise ratio if the image channel is terminated in a low temperature termination. The motivation for using sideband separating (2SB) mixers for radio astronomical applications at mm wavelengths is that the noise performance of a double side band (DSB) heterodyne receiver is often limited by the atmospheric noise fed into the system via the image band. Thus, to further increase the system sensitivity, 258 or single sideband (SSB) operation is preferred. Sideband separating Mixers A 25B mixer performance can be achieved using a quadrature scheme where the RF and LO signals are divided and introduced to two identical DSB mixers. The IF components of both DSB mixers are combined in an IF hybrid where the sideband cancellation takes place. The quadrature scheme does not use any tunable RF filters but requires 90 0 phase delay for either RF or LO signals in one of the mixer channels. Designs where the RF signal is applied with 90 0 delay and the LO in phase is illustrated in the figure below and has been demonstrated for mm wavelengths [1]-[4]. The RF power divider is normally a 4 port device - a branch-line coupler [1]-[4] or a magic-t [5]. The fourth port of the RF power divider is terminated in a low-temperature load that is also a source of RF thermal noise which is down-converted and present at the IF output ports. 173

15th International Symposium on Space Terahert Technology RF in RF Power Divider Mix 1 USB 90 IF Hybrid 1/2 RF -90 LSB Mix 2 Figure 1 Block-diagram of the 2SB mixer demonstrated in [1]-[4]. The RF signal is divided and delayed by using a branch line coupler at the input, the LO power is applied in-phase to both mixers. In the mixer design presented here we use an alternative way to achieve a 2SB operation. Instead of a RF branchline coupler, we use a three-port structure, a waveguide to microstrip double probe transition, which divides the RF signal with a constant 180 phase difference [6], [7] and does not require any resistive termination. The LO power is divided with the required 90 phase delay by a waveguide branch-line coupler. 90 Mix 1 ft f IF Hybrid 1/2 RF, 0 p.-1 (LSB USB) ft it RF RF Power Divider cos(co w + 90) = 1/2 RF, 180 sin(co ) cosfro ) L 90 90 Hybrid 1 Mix 2 2 (LSB USB) -44 LO I, 1 (LSB USB LSB USB)= LSB 2 1 (LSB USB LSB USB)=USB \ 2 ED Figure 2 Block diagram of the suggested sideband separating mixer. To illustrate the sideband cancellation, the relative phases of the sideband signals at IF are shown at different points of the mixer. USB and LSB stand for Upper and Lower Side Band respectively.

15th International Symposium on Space Terahert: Technology Image products termination at RF The output spectrum of a mixer excited with RF signal and pumped by a LO contains linear combinations of both frequencies. One of these combinations is an image component at RF. For example RF signal with frequency LO+IF will produce, through higher order conversion terms, a component with image frequency LO-IF. The way these combinations of frequencies are terminated by the mixer embedding circuitry is relevant to the conversion gain of the mixer. In the case of a 2SB mixer using a four-port structure to divide the RF (Figure 1), these RF image components are dissipated at the input of the mixer. To illustrate how the corresponding image components are terminated in the suggested mixer design in Figure 2, we give an example by considering the RF image products produced by a third order conversion term. RF image products from Mixer 1 [cos(rf) + cos(lo)1 3 = cos(rf) 3 + 3 cos(rf) cos(lo) + 3 cos(rf) cos(l0) 2 + cos(l0)3 The second term produces components with frequency L0+2IF, while the third term is responsible for the image components at RF. For example if the signal is in the USB we have: cos(ld + IF) cos(lo) cos(lo + /F)[1 + cos(2l0)1 producing a component cos(lo + IF-2L0) = cos(lo IF), (1.1) which is a frequency in the LSB (an image product). In the same way if the signal is in the LSB: producing a component which is also an image product. cos(lo IF) cos(l0) 2 = cos(lo IF)[1+ cos(2l0)] cos(lo IF 2L0) = cos(lo + IF) (1.2) RF image products from Mixer 2 Since the RF is applied to the mixers with 180 phase difference and the LO is delayed with 90 we have: p cos(rf) sin(lo)r = cos(rf) 3 3 sin(lo) cos(rf) 2 3 sin(l0) 2 cos(rf) sin(l0)3 The corresponding image components are For signal in the USB sin(l0) 2 cos(lo + IF) = cos(2l0) cos(lo + IF) giving rise to a component in the LSB If the signal is in the LSB: cos(2l0 LO IF) = cos(lo IF). (1.3) giving rise to a component in the USB: sin(l0) 2 cos(lo IF) = cos(2l0)1cos(lo IF) cos(2l0 LO + IF) = cos(lo + IF). (1.4) 1 75

15th International Symposium on Space Terahert Technology From the calculations above it follows that the considered image products at RF from both mixers are applied in phase to the outputs of the RF power divider (equations 1.1=1.3 and 1.2 E 1.4). Since the divider intrinsically produces 180 phase difference [5], the same phase difference is required to combine the image products and couple them to the input RF waveguide. Furthermore because the RF image components from both mixers are applied in phase, they will be reactively terminated in the structure and will not propagate in the input waveguide, i.e., the mixer behaves as an "image-enhanced" mixer where the image port is reactively terminated. Mixer Design The mixer block layout shown in Figure 3 consists of two identical parts dividing symmetrically all waveguide structures (split blocktechnique). The RF input is a corrugated horn divided into two sections to facilitate the machining. A waveguide 3dB hybrid is used to divide the LO power and to introduce the required 90 phase delay. The bottom part of the mixer block accommodates the mixer substrate, bias T filters to introduce DC bias for the junctions, and an absorber to terminate the idle port of the LO 90 0 hybrid. The LO power is then coupled to the ends of the substrate through waveguide to microstrip transitions. Corrugated Horn RF Input Transition from Circular to Rectancular Waves uide DC Bias Input Bias T SMA IF Output (to the isolators) 3 db 90 LO Hybrid Lc. orb r LO Input Waveguide Figure 3 Layout of the sideband separating mixer. The mixer block consists of two identical parts dividing symmetrically all waveguide structures. Waveguide cross-section is 1.2/2.4 mm. A closer look at the mixer substrate is presented in Figure 4. To ensure a high degree of symmetry in the SIS junction performance, most of the mixer components are integrated on the same compact substrate. To divide the input RF signal and to couple it to the substrate we designed a special structure, a waveguide to microstrip double probe transition. The waveguide to microstrip double probe transition has a simple geometry and does not require any lumped termination load. Since the E field oscillates in parallel to the probes, the waveguide to microstrip double probe transition is naturally a 180 phase shifter introducing a constant phase difference for the divided RF signals. It also gives very good magnitude symmetry of the divided RF signal over the whole waveguide dominant mode, which is a critical requirement for obtaining a good degree of sideband separation. The measured magnitude and phase imbalance introduced by the waveguide to microstrip double probe transition is 0.3 db and 0 in the band 85-115 GHz [6]. 176

15th International Symposium on Space Terahert: Technology VVaveguide to Microstrip Double Probe Transition Figure 4 The mixer substrate coupled to the waveguides. The divided LO power is introduced at the ends of the substrate while the RF power is coupled to the substrate in the middle and divided between the two mixer junctions by the waveguide to microstrip double probe transition. The mixer substrate is a Z cut crystal quartz with dimensions 0.7/8.74/0.15mm (W/L/H). The substrate size is chosen such that it does not allow waveguide modes inside the substrate channel. The divided LO power is coupled at the end of the substrate via an E-probe and transmitted to the 15 db LO directional coupler through a microstrip circuit. The RF and LO signals are then fed to each of the mixer junctions with its tuning circuitry. The rest of the LO power at the idle port of the coupler is terminated by a second SIS junction with its tuning circuitry. This SIS-termination absorbs 15 db more LO power than the mixer junction and becomes over-pumped, its non-linear current-voltage (I-V) curve straightens and thus behaves as a lumped resistor Figure 6. Mixer 515 Junction Bond Wire DC bias+if out Transition in the Ground Planes -15 db 1.0 Directional Coupler SiS Junction as a Termination Load Bond Wise (DC bias; Wave9uide to miorostrip Transition La in A Section of t Waveguide to Microstrip Double Probe Transition Choke as a round Plane Figure 5 A closer view of the mixer components. In order to minimize the loss of RF power, the LO is injected to the RF line through a -15dB directional coupler. A second SIS junction and its tuning circuitry provides real impedance to terminate the rest of the LO at the idle port of the LO coupler. To avoid critically small spacing between the lines, the LO coupler uses the 0.15 mm thick crystal quartz substrate as a dielectric and substrate backside metallization as a ground plane. The choke serves as a ground plane for the rest of the circuitry. 177

15th International Symposium on Space Terahertf, Technology The degree of sideband suppression is directly related to the magnitude and phase balance of the RF and LO power applied to the mixers and the symmetry of the circuitry. Therefore it is important to provide reflectionfree terminations for the LO directional coupler because a part of a reflected LO signal from one branch of the mixer will be directed through the waveguide to microstrip double probe transition [6] to the other and thus degrade the sideband separation. For that reason we keep the possibility to independently bias the load junctions and thus compensate a possible minor impedance mismatch caused by, for example, a spread of the nominal value of junction's normal state resistance. 0,35 0,3 0,25 0,2 5 0,15 0,1 0,05 -- Mixer Junctions 0-0,05 Figure 6 Junctions I-V curves in presence of LO power. The mixer junctions are pumped with optimum power for best sensitivity, while load junctions are over pumped being exposed to 15 db higher power. The pairs of I-V curves show excellent symmetry giving good prospects for high degree of sideband separation. Measurements In order to characterize the 2SB mixer we measure the equivalent mixer noise temperature as a function of LO frequency using conventional Y-factor technique. In contrast to an ideal DSB mixer, a SSB mixer equivalent noise temperature TssB can not be measured without knowing sideband suppression ratios Ru, R L. We calculate the TssB for USB and LSB using the TDsB noise temperature derived from Y-factor measurements of the 2SB mixer, and the measured sideband suppression ratios: 1 T SSB,USB T DSB 1 4- n 11U TSSB, LSB = T DSB 1 ± Calculating the sideband suppression ratios requires measuring the mixer response to a continuous wave (CW) source placed at either the lower or upper sidebands. For example, a CW signal placed at the LSB ( f cw =f Lo- f if) of an ideal 2SB mixer should only be seen at the LSB IF output with no response at the USB port. Similarly, placing the CW at the USB should produce a peak at IF in the USB and give no response in the LSB output. Since real mm-wave mixers are not ideal, CW signal is seen at both IF outputs. In this case, measuring the sideband suppression ratios Ru, R L results in measuring the difference in the observed peak value referred to the noise level at the corresponding output. In order to check the consistency in the measured sideband suppression ratios, Ru, R I, are calculated and compared for a number of CW frequencies in the USI3/LSB. Our measurements show that the variation of Ru, R L vs. IF frequency is in the range of 2-3 db and can be related to asymmetry produced by the IF hybrid and cold amplifiers. The 25B mixer was measured in two configurations with IF 3.4-4.6 GHz and IF hybrid following the amplifiers, and with IF 4-8 GHz and amplifiers following the IF hybrid. The results from the measurements of SSB equivalent noise temperature and sideband suppression ratios are presented in Figure 7, 8. 178

15th International Symposium on Space Terahertz Technology 120 3-5 Results TSSB, LSB TSSB, USB RL=LSB/USB RU=USB/LSB 25 20 3.4-4.6 GHz HEMT Amplifiers Usti, 60 40 90 95 100 105 LO Freq, GHz 110 Figure 7 Measured SSB equivalent noise temperature TssB solid lines, and sideband suppression ratios Ru, RLdashed lines vs. LO frequency, (equivalent to RF band of 86-118GHz with 4 GHz IF center frequency). IF band is 3.4-4.6 GHz and the IF hybrid follows the amplifiers. LSB 140 130 120 4-8 Results LSB TSSB, USB RL=LSB/USB RU=USE3/LSB 30 25 4-8 GHz HEMT Amplifiers USB 110 m - U) 100 90 80 20 -I 15 0. 70 60 90 95 100 LO Freq, GHz 105 110 10 Figure 8 Measured SSB equivalent noise temperature Tssg solid lines, and sideband suppression ratios Ru, RLdashed lines vs. LO frequency, (equivalent to RF band of 85-117GHz with 6 GHz IF center frequency). IF band is 4-8 GHz and the IF hybrid is in front of the amplifiers. Conclusions Several mixer chips were tested and similar and consistent performance was obtained. The best single sideband noise temperature with IF 3.4-4.6 GHz (configuration 1 in Figure 7) is below 40 K with a sideband suppression ratio above 12 db for both sidebands over the RF band. The noise contribution of the IF chain was measured to be 6 K. Configuration 2 (Figure 8) gives about 20 K higher SSB noise temperature but also a better sideband suppression. This extra noise is partly associated with the fact that 4-8 GHz amplifiers are slightly noisier than 3.4-4.6 GHz, partly because the IF hybrid, placed in front of the amplifiers, introduce some extra loss. However we believe that it is this configuration that should be used for practical 25B mixers (especially with 4-8 GHz IF band) since tuning the mixer for optimum noise/sideband suppression is to a large extent simplified compared to configuration 1, which requires very well balanced IF amplifiers. The IF noise contribution for this configuration is about 10 K. The measured noise temperatures include losses in all passive components in front of the mixer: a 290 K vacuum window of the cryostat, a 77 K IR filter and a lens at 4 K, all made of PTFE. Acknowledgments Authors would like to acknowledge Professor R.S. Booth for his constant trust and support of our work. Thanks to Sven-Erik Ferm for his effort on fabricating the mixer block. This work is a part of the APEX Project, supported by the Swedish Research Council and the Wallenberg Foundation. 179

15th International Symposium on Space Terahert: Technology References [1] A. R. Kerr, S.-K. Pan and H. G. LeDue, "An integrated sideband separating SIS mixer for 200-280 GHz", Proc. of the Ninth Space Terahertz Technology Symposium, pp.215-222, Pasadena, USA, March, 1998. [2] A. R. Kerr and S.-K. Pan, "Design of Planar Image Separating and Balanced SIS Mixers," Proc. of Seventh International Symposium on Space Terahertz Technology,pp. 207-219, March 12-14, 1996. [3] S. M. X. Claude, C. T. Cunningham, A. R. Kerr, and S.-K. Pan, "Design of a Sideband-Separating Balanced SIS Mixer Based on Waveguide Hybrids", ALMA Memo 316, September 2000. [4] S. Asayama, et al., "An Integrated Sideband-Separating SIS mixer Based on Waveguide Split Block for 100 GHz Band", ALMA Memo 453, http://www.alma.nrao.edu/memo/, April 2003. [5] R. L. Akeson, J. E Carlstrom, D. P. Woody, J. Kawamura, A. R. Kerr, S. -K. Pan and K. Wan, "Development of a Sideband Separation Receiver at 100Gliz", Proc of Fourth International Symposium on Space Terahertz Technology, pp,12-17, Los Angeles, USA, March, 1993. [6] V. Vassilev, V. Belitsky, D. Urbain, S. Kovtonyuk, "A New 3 db Power Divider for MM-Wavelengths", IEEE Microwave and Wireless Components Letters, page 30-32, vol.11, January 2001. [7] V. Vassilev and V. Belitsky, "Design of Sideloatx1 Separation SIS Mixer for 3 mm Band", 12th International Symposium on Space Terahertz Technology, Feb. 2001. [8] V. Vassilev, "Development of a Sideband Separating SIS Mixer Technology for MM-Wavelengths", Technical report No. 465, School of Electrical Engineering, Chalmers University of Technology, ISSN 1651-498X 180