The present subject matter relates to high-frequency characterization of small devices and minute amounts of materials. More specifically, the present subject matter discloses methods and apparatus for carrying out an on-chip subtraction process to reduce parasitic effects in measurement fixtures including coupling capacitance effects.
Parasitic effects from measurement fixtures are difficult to handle in microwave characterization of small devices and materials. It is even more challenging when the expected signal level is low. Such devices include magnetroelectronic/spintronic devices and high-impedance devices, for instance a metallic single-walled-carbon-nanotube (mSWNT), a SWNT transistor, a minimum-size deep-submicron metal-oxide-semiconductor (MOS) field-effect-transistor (FET), a sub-micron MOS FET that is operating in sub-threshold region, and a molecular device. Such materials include on-chip biofluids, chemicals and thin films. The microwave characteristics of these devices and materials are of great interest in their development and applications. Considering a metallic SWNT as an example; its high-frequency characteristics are important for potential interconnect and sensor applications. Metallic SWNTs are also considered an ideal, one-dimensional model for fundament condensed matter physics studies. Their high-frequency properties, which correspond to collective Plasmon oscillations, would be a direct verification of Luttinger liquid theory that was proposed to describe one-dimensional material.
A proposed RF transmission line model as illustrated enclosed in the dashed-line box 130 in
The calculated scattering parameters, S21, of the equivalent circuit 140 (
While various measurement methods for characterizing CNT devices have been developed, no design has emerged that generally encompasses all of the desired characteristics as hereafter presented in accordance with the subject technology.
In view of the recognized features encountered in the prior art and addressed by the present subject matter, an improved methodology for characterizing, i.e., taking electrical measurements of, small devices and minute amounts of materials has been developed.
In an exemplary configuration, parasitic capacitance effects resulting from a coupling gap capacitor effect are reduced.
In one form, the present subject matter provides an on-chip subtraction mechanism to reduce parasitic effects of a test fixture.
In accordance with aspects of certain embodiments of the present subject matter, microwave structure for on-chip parasitic effect subtraction is provided.
In accordance with certain aspects of other embodiments of the present subject matter, methodologies have been developed to direct an incoming signal along two paths or branches of a hybrid to produce at an output of the hybrid a difference signal with significantly reduced parasitic components.
In accordance with aspects of still further embodiments of the present subject matter, similar test fixtures or a test fixture and a capacitive component having a capacitive value similar to a test fixture may be positioned in a hybrid device such that signals from each fixture or fixture and capacitive component are effectively subtracted from each other to cancel parasitic effects that may inhibit accurate characterization of a device or material under test secured in a test fixture.
Additional objects and advantages of the present subject matter are set forth in, or will be apparent to, those of ordinary skill in the art from the detailed description herein. Also, it should be further appreciated that modifications and variations to the specifically illustrated, referred and discussed features and elements hereof may be practiced in various embodiments and uses of the invention without departing from the spirit and scope of the subject matter. Variations may include, but are not limited to, substitution of equivalent means, features, or steps for those illustrated, referenced, or discussed, and the functional, operational, or positional reversal of various parts, features, steps, or the like.
Still further, it is to be understood that different embodiments, as well as different presently preferred embodiments, of the present subject matter may include various combinations or configurations of presently disclosed features, steps, or elements, or their equivalents (including combinations of features, parts, or steps or configurations thereof not expressly shown in the figures or stated in the detailed description of such figures). Additional embodiments of the present subject matter, not necessarily expressed in the summarized section, may include and incorporate various combinations of aspects of features, components, or steps referenced in the summarized objects above, and/or other features, components, or steps as otherwise discussed in this application. Those of ordinary skill in the art will better appreciate the features and aspects of such embodiments, and others, upon review of the remainder of the specification.
A full and enabling disclosure of the present invention, including the best mode thereof, directed to one of ordinary skill in the art, is set forth in the specification, which makes reference to the appended figures, in which:
a) is a cross-section of an exemplary mCNT test set-up including metallic electrodes for facilitating characterization measurements;
b) is a top-view of the test setup of
c) is an equivalent circuit model of the test setup;
d) is a simplified equivalent circuit model of the test setup;
a) and 2(b) graphically illustrate the simulated scattering magnitude and phase parameters respectively of the equivalent circuits of
a) is a schematic diagram of a microwave hybrid structure in accordance with the present subject matter;
b) is a graphical representation of simulated scattering parameters between the two branches of the hybrid structure of
a) and 4(b) provide graphical magnitude and phase comparisons respectively of measured scattering parameters determined by the present and conventional methodologies;
a) and 5(b) illustrate respectively extracted inductance and resistance values for different resistive and inductive combinations;
a) and 6(b) illustrate layouts of measuring circuits used to evaluate the technology of the present subject matter;
a) graphically illustrates on-chip parasitic effects cancellation;
b) graphically illustrates variations between measured and simulated capacitance values based on a normalized increasing gap width;
a) and 8(b) graphically illustrate magnitude and phase effects comparisons respectively of non-symmetrical gap capacitance on extracted scattering parameters; and
a)-9(d) graphically illustrate the effects of non-symmetrical attenuation and phase delay on extracted scattering parameters.
Repeat use of reference characters throughout the present specification and appended drawings is intended to represent same or analogous features or elements of the invention.
As discussed in the Summary of the Invention section, the present subject matter is particularly concerned with an improved methodology for characterizing, i.e., taking electrical measurements of, small devices and minute amounts of materials.
Selected combinations of aspects of the disclosed technology correspond to a plurality of different embodiments of the present invention. It should be noted that each of the exemplary embodiments presented and discussed herein should not insinuate limitations of the present subject matter. Features or steps illustrated or described as part of one embodiment may be used in combination with aspects of another embodiment to yield yet further embodiments. Additionally, certain features may be interchanged with similar devices or features not expressly mentioned which perform the same or similar function.
Reference will now be made in detail to the presently preferred embodiments of the subject device characterization apparatus and methodologies. Referring again to
As may be seen in
Capacitors Cox represents excess electrode capacitance due to end effects while resistors Rsub and Rsub1 represent substrate resistances. Capacitors Cs represent the excessive coupling capacitance between the signal lines and ground due to end effects.
d) represents a simplified equivalent circuit 160 where the substrate parasitic components are ignored, mCNT is approximated by setting R equal to 2R′ and the value of L remaining equal to the value of L in
With reference now to
In accordance with the present technology, a new methodology has been developed for the characterization of small devices that uses on-chip subtraction to significantly reduce parasitic effects of the test fixture with a focus on reducing the coupling gap capacitor effect.
With reference to
As may be seen from
It should be readily understood by those of ordinary skill in the art that if gaps 302 and 304 are substantially identical, the transmission paths from the gaps toward rat-race 208 are substantially identical, and the transmission paths around the rat-race are substantially λ/2 different as they each arrive at Port 2, the signal at Port 2 will be substantially zero. That is, the signals passing through each branch of the circuit will substantially balance each other out thus compensating for any parasitic effects that may be present in the test fixture corresponding to gap 302 or, alternatively, gap 304.
With further reference to
where S21(CNT+Cp) is the scattering parameter of the gap with an mCNT and S21(Cp) is the scattering parameter of the other gap. The attenuation and phase delay associated with the transmission lines in the test fixture can be calculated and/or experimentally obtained by use of a dummy structure, such as the one shown in
When the used mCNT is a few μm long and the operating frequency is on the order of 10 GHz, a lumped RL model can be used to approximate the distributed transmission line CNT model, as is shown in
From the obtained scattering parameters, resistance R and inductance L can be obtained through the following equations.
The extraction of L still needs the knowledge of C, unless the corresponding term is small in eq. (2b). Nevertheless, as shown in
The method in accordance with the present technology may be tested numerically using a known network having the topology as illustrated in
Since it is difficult to find circuit components that can be used to mimic the network in
a) shows the cancellation effects of the fabricated structures. If the two signal paths are symmetric, the output signal should be approximately zero after the cancellation, such as the lowest signal point of the simulated results (at −5 GHz). In practice, however, various factors affect the effectiveness of the cancellation process. Two prominent ones are the fabrication variations and surface wave excitations. Despite these complications, the measured S21 in
b) shows that the extracted capacitance values from the measured data are close to the simulated results with ADS. Furthermore, the measured capacitance ratios are approximately the gap-width ratios, as expected. These agreements verified the validity of the proposed method. When the gap has about 10% width increase, the discrepancy between the simulated and the measured capacitance are larger. This is due to the relatively lower signal level that is closer to the noise background.
There are a few issues that determine the accuracy, sensitivity and applications of the proposed measurement method. The symmetry of the proposed structures is an important such feature. Any non-symmetric geometry between the upper branch and the lower branch will cause non-symmetric electrical behaviors, which will eventually appear at the output port in
When a gap is needed for characterization purposes (such as mCNT characterizations), its attenuation will dramatically reduce the effects of the non-symmetric power division and the non-symmetric transmission line sections that lead to the gap. As a result, the symmetry of the gap and the sections of the structure after the gap are more important.
The structures in
The method in accordance with the present technology works ideally at one frequency only. Both the measured and simulated results show a very narrow band. This bandwidth limitation mainly comes from the design of the hybrid, where a 180′ phase shift is needed for the two incoming common-mode signals to cancel each other.
Metallic SWNT is used as an example in this work to illustrate the present microwave characterization method, where the gap coupling capacitance dominates. There are other application situations where no gap is needed to host the device-under-test (DUT) or material-under-test (MUT) while the expected signal level is relatively weak. One example is the characterization of individual micro/nano magnetic structures. The present cancellation method is still effective, as is shown in
The method in accordance with the present technology subtracts parasitic effects on-chip by use of passive microwave devices. Weak signals from small and high-impedance devices then emerge from the dramatically reduced background, particularly the otherwise overwhelming coupling capacitance effects. The data extraction procedure is straightforward and its accuracy depends on the symmetry and loss of the microwave structures. The design guidelines are straightforward.
While the present subject matter has been described in detail with respect to specific embodiments thereof, it will be appreciated that those skilled in the art, upon attaining an understanding of the foregoing may readily produce alterations to, variations of, and equivalents to such embodiments. Accordingly, the scope of the present disclosure is by way of example rather than by way of limitation, and the subject disclosure does not preclude inclusion of such modifications, variations and/or additions to the present subject matter as would be readily apparent to one of ordinary skill in the art.
Number | Name | Date | Kind |
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6087896 | Bazzani | Jul 2000 | A |
20090042383 | Kim et al. | Feb 2009 | A1 |
Number | Date | Country | |
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60951510 | Jul 2007 | US |