The present embodiments relate generally to electronics, and more particularly to integration of boron arsenide (BAs) and boron phosphide (BP) into semiconductors, electronics, and any power devices for high-performance thermal management.
Future power, sensor, and communication systems require higher performance (e.g., output power) per unit area to meet mission requirements in increasingly congested and contested electromagnetic environments. Wide band gap (WBG) materials such as GaN technology provides a leap ahead in capability over legacy Si and GaAs radio frequency (RF) device technology; the Ultra Wide BandGap (UWBG) semiconductors (e.g., AlN, cBN, diamond, Ga2O3) show promise as the next leap in RF electronics. However, these materials and associated devices are in their infancy. For example, among potential issues, thermal management is a serious technology challenge associated with high power and expected to be even more serious for WBG and UWBG RF devices. Currently, in all power systems ranging from laptops, smart phones, data servers, to electric vehicles and radar communications, enormous waste heat dissipates from the hot spot to heat sink across a series of thermal resistances of device layers and their interfaces. Ridiculously, the power density in current high-power transistors is exceeding that of the Sun's surface. As a result, the device operation characteristics and energy efficiency can be largely degraded by a large thermal resistance and a rising hot spot temperature. The maximum output power is strongly limited by the high channel temperature and Joule heating, which degrades device performance and reliability.
It is against this backdrop that the present Applicant sought a technological solution to these and other issues rooted in this technology to advance the state of the art.
According to certain aspects, the present disclosure relates to the development of semiconductors, WBG and UWBG device structures (e.g., novel heterostructures), and engineering/fabricating WBG and UWBG electronics and RF (microwave/millimeter wave) devices. Technology advances include material synthesis (epitaxial growth, growth techniques and characterization, materials/defect engineering), physics-based device design, contact engineering, wafer bonding, device layer structures, interconnections, 3D architectures, surface and interface engineering, integral thermal management, high temperature operation, robustness, heterogeneous integration with other devices/materials systems, and other functionality/domains of WBG and UWBG materials/structures, including electronics, optoelectronics, optical, quantum, acoustic, mechanical, multi-ferroic, and others.
These and other aspects and features of the present embodiments will become apparent to those ordinarily skilled in the art upon review of the following description of specific embodiments in conjunction with the accompanying figures, wherein:
The present embodiments will now be described in detail with reference to the drawings, which are provided as illustrative examples of the embodiments so as to enable those skilled in the art to practice the embodiments and alternatives apparent to those skilled in the art. Notably, the figures and examples below are not meant to limit the scope of the present embodiments to a single embodiment, but other embodiments are possible by way of interchange of some or all of the described or illustrated elements. Moreover, where certain elements of the present embodiments can be partially or fully implemented using known components, only those portions of such known components that are necessary for an understanding of the present embodiments will be described, and detailed descriptions of other portions of such known components will be omitted so as not to obscure the present embodiments. Embodiments described as being implemented in software should not be limited thereto, but can include embodiments implemented in hardware, or combinations of software and hardware, and vice-versa, as will be apparent to those skilled in the art, unless otherwise specified herein. In the present specification, an embodiment showing a singular component should not be considered limiting; rather, the present disclosure is intended to encompass other embodiments including a plurality of the same component, and vice-versa, unless explicitly stated otherwise herein. Moreover, applicants do not intend for any term in the specification or claims to be ascribed an uncommon or special meaning unless explicitly set forth as such. Further, the present embodiments encompass present and future known equivalents to the known components referred to herein by way of illustration.
As set forth above, thermal management has been a serious technology hurdle in semiconductor industry for decades. In most modern electronic systems ranging from laptops, smart phones, data servers, to electric vehicles and radar communications, enormous waste heat dissipates from the hot spot to heat sink across a series of thermal resistance of device layers and their interfaces. As a result, the device operation characteristics and energy efficiency can be strongly degraded by a large thermal resistance and a rising hot spot temperature. Recent research focuses on improving heat dissipation by using high thermal conductivity (HTC) substrates to replace lower conductivity materials (silicon carbide, silicon, and sapphire) to reduce the overall spreading thermal resistance. The key challenge for high-performance thermal management is to achieve the combination of a HTC and a low thermal boundary resistance (TBR) near electronics junction interfaces. Currently, copper, SiC, and diamond are the best developed prototype HTC material for high performance power cooling; importantly it has been integrated with wide-bandgap semiconductors and shown lower hot spot temperatures in GaN-diamond devices than traditional RF systems. However, a poor thermal conductance was found at the GaN-diamond or GaN-SiC interfaces and severely compromised the application promise of diamond or SiC for thermal management. Other classical HTC materials have so far been limited by thermal properties and intrinsic issues. Cubic boron nitride suffers synthesis challenge that usually requires high temperature and high pressure, slow growth rate, high cost, and difficulty in integration with semiconductors. Graphite is highly anisotropic and mechanically soft due to weak cross-plane van der Waals bonding. Nanomaterials such as graphene and nanotubes can be highly conducting for individual materials, but have degraded thermal conductivity when integrated into practical sizes due to ambient interactions and disorder scattering.
Meanwhile, the urgent need to tackle thermal management challenge has called for the development of new HTC materials. Most recently, building on ab initio theoretical calculations, a new class of boron compound semiconductors, including boron phosphide (BP) and boron arsenide (BAs), has been experimentally realized and verified with record high thermal conductivity. In particular, one recent approach has measured an isotropic thermal conductivity of 1300 W/mK in BAs and 500 W/mK in BP, beyond that of most known heat conductors. The thermal conductivity of BAs is over three times that of the industrial HTC standards such as copper and SiC (both around 400 W/mK) and twice that of cubic boron nitride.
Moreover, as desired for device integration, the mechanical and thermophysical properties of BAs have been experimentally verified to be highly compatible with power semiconductors. With very high application promise, the integration and characterization of these new HTC materials with other materials layers is critically important towards their future device implementation, however has remained to be explored.
In this disclosure, the present Applicant reports the integration and interface characterizations of these new HTC semiconductors with prototype metal and semiconductor materials. As verified through ultrafast spectroscopy experiment and atomistic phonon theory, BAs and BP enable an unprecedented combination of a HTC and a low TBR due to their unique phonon band structures. The present Applicant demonstrated the first GaN-on-Bas structure using metamorphic heteroepitaxy growth for passive cooling of RF systems, and measured its high thermal boundary conductance of 250 MW/m2K, over 8 times that of diamond.
Comparison of the device-level hot spot temperatures of GaN transistors as a function of length scaling from 100 μm to 100 nm in both diffusive and ballistic transport regimes, shows that the thermal management performance of BAs substantially exceeds that of diamond, silicon carbide (SiC) and the state of the art. Importantly, the present Applicant performed direct experimental measurements of operational AlGaN/GaN high-electron-mobility transistors (HEMTs) and verified the superior cooling performance of BAs to diamond and SiC.
Fundamentally, thermal boundary resistance (TBR) measures an interface's resistance to thermal flow and is limited by the scattering of energy carriers from both sides of the interface. The earliest discovery of TBR can be traced back to 1941 and the Kapitza resistance between liquid helium and solids; thereafter, TBR was confirmed to exist at all heterogeneous interfaces regardless of the atomic perfection. For semiconductor device interfaces such as the example shown in
According to this estimation, Applicant recognizes that the new HTC materials BAs and BP hold high promise for TBR improvement upon integration; however, their interface integration and transport for thermal management application has yet to be explored. The present disclosure investigates heat dissipation performance and mechanisms at these interfaces through detailed materials characterizations, spectroscopy measurements, and phonon transport theory simulations.
The thermal transport was measured using ultrafast pump-probe spectroscopy based on the time domain thermoreflectance (TDTR) technique, illustrated in
To determine TBR, the transient TDTR signal is detected and fitted to a multilayer thermal model (
First measured was the thermal transport across the interfaces of the HTC materials with various metals. Metal films, including Al, Au, Ni, Pd, Pt, Ti, and Ni, are deposited on top of Bas and BP thin films using an electron beam evaporation technique to form a clean metal-HTC interface 220, as verified by cross-section scanning electron microscopy (SEM) (
Experimental measurement results of the temperature dependent thermal boundary conductance (G), i.e. the reciprocal value of TBR for Bas and BP are shown in
To understand the experimental results, performed were atomistic calculations to capture the phonon spectral contributions to the interfacial energy transport.
Under the phonon picture, TBR can be understood as resulting from the breakdown of coherence of the mode-dependent phonon transport across the interfaces. As illustrated in
The results in
To understand the fundamental limit of the TBR, analytical calculations were developed by taking advantage of our ab initio derived phonon band structures. Under the Landauer-Buttiker formulation, the TBR is calculated based on the mode-dependent properties as:
are the transmission coefficient, frequency, group velocity and equilibrium Bose-Einstein distribution function of phonons with wavevector k and polarization i. n is the unit vector normal to interface. The subscript indicates the material on side 1 or side 2 across the interface. The transmission coefficient term (τ12(k,i)) is a key parameter to quantify how many phonons are reflected or allowed to transmit through the interface, as illustrated in
Mathematically, the transmission coefficient would be unitary, i.e., τ12(k, i)=1 if the frequency of the emitted phonon from side 1 is lower than the maximum phonon frequency in side 1. The maximum G values based on the Radiation limit, plotted as dotted lines in
where δω,ω(k,i) is the Kronecker delta function. Note that the ab initio derived full phonon band structure from DFT calculations were used for the calculation and the results for the interfaces between Al and BAs, BP and diamond are plotted as dashed lines in
To better quantify the phonon scattering and interface energy transport, numerical simulations were performed based on ab-initio molecular dynamics (MD) to calculate the TBRs. The interatomic potentials were first developed for the new materials, i.e. BAs and BP directly from quantum mechanical calculations based on ab initio MD determined atomic forces using potfit package. In the ab initio MD, Quantum Espresso was used to construct a supercell with a 4×4×4 cubic unit cell for BAs and BP with norm-conserving pseudopotentials in the localdensity approximation. The kinetic-energy cut-off for the plane-wave basis set was 1360 eV. The Tersoff and embedded atom method potential are used for diamond and Al. The interfacial interaction between Al and HTC materials were described using Lennard-Jones potential and the parameters were derived from the Lorentz-Berthelot rules. To minimize the mismatch at interface, the supercell size is 10×10×80 (Al) and 11×11×80 (diamond) for Al-diamond interface, 14×14×80 (Al) and 12×12×80 (BP) for Al-BP interface, 13×13×80 (Al) and 11×11×80 (BAs) for Al-BAS interface. The whole systems were relaxed under isothermal-isobaric ensemble at desired temperature and pressure for 5 ns, followed with relaxation under canonical ensemble for 3 ns and microcanonical ensemble for 2 ns with a time step of 0.5 fs. The MD simulations were performed with Large-scale Atomic/Molecular Massively Parallel Simulator (LAMMPS).
By setting anchor layers and thermal reservoirs at the two ends of the system, the steady-state temperature profile across the system under a constant heat flux can be obtained after 10 ns. The TBR values are determined from the heat flux and temperature drop at interface. The MD predicted TBRs for the interface with BAs, BP, and diamond are plotted in comparison with experimental results in
As a further important step, the present Applicant demonstrated for the first time the experimental integration of BAs with a prototype high-power semiconductor, i.e., GaN, and report their record-high heat dissipation performance. Note that fundamentally the combination of a high thermal conductivity and a high thermal boundary conductance is needed to enable efficient heat dissipation. Recent progress has been made in integrating GaN with classical HTC materials (in particular diamond and SiC) for power cooling with focus on improving the near-junction lattice mismatch, defects, and the resulted thermal boundary resistance that limit the overall heat dissipation. For this new semiconducting HTC material BAs, to directly integrate BAs with GaN is challenging because crystal structures of BAs (zinc blende cubic) and GaN (wurtzite) are different, making it difficult to form epitaxial interfaces with minimum disorders.
Also, BAs decomposes at about 1200 K, so low temperature crystal growth is required. Here, in order to get a high quality interface between BAs and GaN, the present Applicant applied metamorphic heteroepitaxy method to relax the strain: A thin layer of oxide was introduced as the adhesion layer in between, using atomic layer deposition technique. A follow-up treatment using oxygen plasma was used to activate interface bonds and the sample was annealed at 773K for 24 hours in vacuum. The heterogeneous interface was carefully verified by SEM and high-resolution transmission electron microscopy (HR-TEM):
To evaluate the device-level heat dissipation performance of BAs as a cooling substrate, the hot spot temperature was determined across a GaN-BAs interface as a function of various heating sizes from 100 μm to 100 nm. The heat dissipation performance of GaN-BAs device was compared with that of the current state-of-the-art GaN-diamond device, verifying the record-high performance. Considered was an exemplary device geometry involving GaN device layer on the top of BAs or diamond cooling substrate by using experimental data as the input and solving the heat conduction equation and the Boltzmann transport equation (BTE) (inset,
The classical diffusion theory describes the thermal transport process well when the characteristic length is far larger than the phonon mean free path, and is commonly used for engineering macroscopic devices.
Moreover, also evaluated was the device performance under conditions where the ballistic transport takes place and the classical diffusion theory fails for nanoscale devices. With the shrinking of device sizes down below the phonon mean free paths, phonon transport would not experience scattering. In this case, the practical heat dissipation behaves more like radiation rather than diffusion, so the actual hot spot temperature will deviate from the prediction by the Fourier's law. Such ballistic thermal transport and phonon mean free path spectra of GaN, diamond, BAs and BP have all been experimentally measured and analyzed in recent studies by the present Applicant. Here, to capture the physics of thermal transport from the diffusive regime to the ballistic regime, the present Applicant solved the spectral-dependent Boltzmann transport equation considering mode-dependent phonon properties for the same device structure. The three-dimensional spectral-dependent BTE is given by:
δf/δt+v(ω,p)·∇f=f−f0/τ(ω,p) (3)
where f is the phonon distribution function, and f0 is the equilibrium Bose-Einstein distribution at the local temperature. v(ω, p) and t(ω, p) are respectively the phonon group velocity and the phonon relaxation time at a certain angular frequency ω and polarization p.Λ=vτ is the phonon mean free path. For the multiscale simulation, it should be noted that it is in general very challenging to solve the three-dimensional (3D) spectral dependent BTE, especially using deterministic methods. Here, to tackle this issue, one can deploy a recently developed variance-reduced Monte Carlo (VRMC) method to solve BTE for the 3D experimental geometry. In VRMC method, phonon bundles are initialized in the computational domain, and then proceeded following “advection-sampling-scattering” procedures. In the advection procedure, the phonon bundles are moved under group velocity. In the sampling procedure, the energy carried by the phonon bundles are sampled. In the scattering procedure, the frequencies of the phonon bundles are redistributed based on the spectral distribution of the specific heat. To determine the hot spot temperature, we calculate the temperature response to a heat pulse and integrate the response from t=0 to infinity. All the material's spectral properties for the input into the BTE simulation come from ab initio calculations and experiments.
Finally, developed was the device integration with high-electron-mobility transistor (HEMT) and experimentally measured the operating HEMT devices for performance comparison between different cooling substrates, i.e. BAs, diamond, and SiC. To make a fair comparison, the HEMTs are fabricated using the same AlGaN/GaN epitaxial layers and device layout (Methods).
In summary, the present Applicant reports for the first time the heterogeneous integration of the emerging HTC materials for high-performance thermal management. This ultrafast spectroscopy measurement and atomistic theory calculation demonstrated that interface thermal transport is significantly improved with BAs and BP in comparison to the state of the arts. Replacing diamond with BAs, developed was the first BAs-GaN structure using metamorphic heteroepitaxy growth and measured its thermal boundary conductance to be over 8 times improvement than a typical diamond-GaN interface. With ab initio and atomistic calculations, the intrinsic enhancement in heat dissipation is verified due to the phonon band structures, under varied conditions including Radiation limit, diffuse scattering calculation, and ab-initio MD simulations. The hot spot temperatures of GaN devices integrated with different cooling substrates are examined for both diffusive and ballistic regimes with length scaling from 100 μm to 100 nm, showing the superior thermal management performance of BAs. The direct experimental measurement of operating AlGaN/GaN HEMTs confirms the clear advantage in reducing hot spot temperatures using BAs versus diamond or SiC as the cooling substrate. Device integration of the new materials could revolutionize the future technological paradigm of electronics packaging and extend the roadmap of high power electronics.
High thermal conductivity substrates and metal films: BP and BAs samples were synthesized by epitaxial growth and flux growth methods respectively, as descripted in previous reports (e.g. Kang, J. S. et al., “Thermal Properties and Phonon Spectral Characterization of Synthetic Boron Phosphide for High Thermal Conductivity Applications,” Nano Lett. 17, 7507-7514 (2017); and Kang, J. S. et al., “Experimental observation of high thermal conductivity in boron arsenide,” Science 578, 575-578 (2018)). Different metal films (Al, Au, Ni, Pd, Pt, and Ti, Kurt J. Lesker, 99.999%) were deposited on the samples using e-beam evaporator under high vacuum (<10-7 Torr) with ˜1 Å/s deposition rate. Heteroepitaxy integration of BAs and GaN. GaN samples including both bare GaN film and AlGaN/GaN HEMTs are integrated with BAs for the study. A thin oxide layer was deposited on each surface of the BAs and GaN samples using the atomic layer deposition (ALD) process (Fiji F200, Cambridge Nanotech). Trimethylaluminum was used as precursor to deposit 10 cycles Al2O3 at 473 K. Oxygen plasma treatment was applied to the oxide layers. Example process details can be found in “Hu, Y. et al., “A Ge/Si heterostructure nanowire-based double quantum dot with integrated charge sensor,” Nat. Nanotechnol. 2, 622-5 (2007). BAs and GaN samples were mechanically transferred and bonded together through the oxide layers. The bonded BAs-GaN samples were annealed at 773 K in vacuum to form the high-quality interfaces for measurements. To examine the thermal stability, the integrated samples were measured with thermal cycling between room temperature and 600 K for over ten times; all the samples were measured with consistent results and no appreciable degradation.
GaN-BAs devices and AlGaN/GaN-BAs HEMT devices: GaN-on-Si wafer consisting of a ˜1 μm-thick AlGaN transition layer, 1 μm-thick GaN buffer layer, and 20 nm AlGaN top barrier layer, was used as the device layer. The HEMT devices with two fingers, 100 μm-wide and 34 μm gate pitch were fabricated using e-beam lithography (JSM-6610, JEOL). Rapid Thermal Annealing (RTA, RTP 600xp, Modular Process Technology) at 973K for 30 s under forming gas (98% argon and 2% hydrogen) was used to form ohmic contact. The Si substrate and AlGaN epitaxial transition layer, used to accommodate the lattice mismatch during GaN-on-Si growth, were selectively etched out by using HNO3:HF:CH3COOH (5:4:1) mixture and AZ400K developer, respectively. The exposed clean and smooth GaN surface was bonded with BAs substrate following the heteroepitaxy integration process. The HEMT epitaxial layers, device layout, I-V characteristics and operation conditions for GaN-BAs are consistent with the reported GaN-diamond and GaNSiC devices, with the understanding that this is an evolving technology. Example details regarding transistor fabrication and I-V transport characterizations that can be used in the present embodiments have been described by the present Applicant and others in Ke, M. et al., “Complementary doping of van der Waals materials through controlled intercalation for monolithically integrated electronics,” Nano Res. 13, 1369-1375 (2020), Nguyen, H. D. et al., “High-performance field emission based on nanostructured tin selenide for nanoscale vacuum transistors,” Nanoscale 11, 3129-3137 (2019), Hu, Y. et al., “Sub-100 nanometer channel length Ge/Si nanowire transistors with potential for 2 THz switching speed,” Nano Lett. 8, 925-930 (2008), and Xiang, J. et al. “Ge/Si nanowire heterostructures as high-performance field-effect transistors,” Nature 441, 489-493 (2006).
Transmission electron microscopy (TEM) measurement. TEM sample of BAs and GaN heterostructures were prepared by using a focused ion beam (FIB) machine (Nova 600, FEI). The sample was cut by FIB into small pieces: 5 μm×5 μm×2 μm (width×height×thickness), and transferred to a TEM sample holder (PELCO FIB Lift-Out, Ted Pella) with a nanomanipulator. The heterostructure sample was further milled by FIB until the sample thickness was thin enough (<100 nm) to be traversed by the electron beam for effective TEM imaging. After FIB, the sample was transferred to an aberration-corrected scanning TEM (Grand ARM, JEOL) for imaging. Annular bright field images were taken under 300 keV acceleration voltage. The measured data and atomic-resolution TEM images were processed with the Gatan TEM software.
Raman Spectroscopy. Raman thermography was performed using micro Raman spectroscopy (inVia, Renishaw) under 488 nm laser excitation with 2400/mm grating. The laser was polarized and backscattered with Leica DM2500 optical system. We used 50×/0.75 numerical aperture objective lens and measured lateral spatial resolution was 0.5 μm. In addition, calibrations on temperature, thermoelastic stress, and electrical field in GaN HEMTs were carefully performed to determine the accurate temperatures via Raman measurements.
Thermal management has been arguably the most critical technology challenge for modern electronics. Recent efforts in addressing this challenge lead to the discovery of new semiconductor materials with ultrahigh thermal conductivity, but their electronic device integration and interface energy transport have yet to be demonstrated. Here is presented a novel heterogeneous integration of boron arsenide (BAs) and boron phosphide (BP) with metals, semiconductors, wide-bandgap gallium nitride (GaN), and HEMT devices for high-performance thermal management. Ultrafast optical spectroscopy measurements and atomistic phonon theory calculations have verified the unprecedented combination of record-high high thermal conductivity and thermal boundary conductance due to the unique phonon band structures. The present Applicant successfully developed a practical integration and atomic structural characterization of GaN-on-BAs structure for passive cooling of RF transistors, and measured a high thermal boundary conductance of 250 MW/m2K. Furthermore, comparison of the device-level hot spot temperatures of GaN transistors with length-dependent scaling from 100 μm to 100 nm in both diffusive and ballistic transport regimes, shows that the power cooling performance of BAs intrinsically exceeds that of diamond devices and the state of the arts. Importantly, experimental measurement of operating AlGaN/GaN HEMT devices confirms the substantially reduced hot spot temperature and clear advantage for using BAs versus diamond or silicon carbide as cooling substrate. This study represents a significant progress towards device integration of emerging high thermal conductivity semiconductors for advanced thermal management and establishes a benchmark performance to extend the roadmap for high power electronics.
Since the integration and device performance of the BAs-WBG, BAS-UWBG, BP-WBG, BP-UWBG were realized by the present Applicant for the first time, the present embodiments encompass the following broad applications: (1) All the device application through integration or inclusion of boron arsenide and boron phosphide with metals, semiconductors (Si, Ge, InP, InAs, GaAs), WBG (GaN, AlGaN, SiC) and UWBG materials (AlN, cBN, diamond, Ga2O3); (2) All the materials preparation, materials processing and integrations of boron arsenide and boron phosphide, including in the forms of its crystal, polycrystal, amorphous, or mixed with other materials and etc., and (3) all applications as a new materials or device platforms for all applications in electronics, RF technologies, photonics, optoelectronics, sensors, detectors, acoustics, etc. areas. It is expected that integration of BAs or BP with semiconductors, metals, WBG and UWBG materials will play significant role in modern technologies, including transistors, amplifiers, modulators, antennas, and all RF technologies.
The herein described subject matter sometimes illustrates different components contained within, or connected with, different other components. It is to be understood that such depicted architectures are illustrative, and that in fact many other architectures can be implemented which achieve the same functionality. In a conceptual sense, any arrangement of components to achieve the same functionality is effectively “associated” such that the desired functionality is achieved. Hence, any two components herein combined to achieve a particular functionality can be seen as “associated with” each other such that the desired functionality is achieved, irrespective of architectures or intermedial components. Likewise, any two components so associated can also be viewed as being “operably connected,” or “operably coupled,” to each other to achieve the desired functionality, and any two components capable of being so associated can also be viewed as being “operably coupleable,” to each other to achieve the desired functionality. Specific examples of operably coupleable include but are not limited to physically mateable and/or physically interacting components and/or wirelessly interactable and/or wirelessly interacting components and/or logically interacting and/or logically interactable components.
With respect to the use of plural and/or singular terms herein, those having skill in the art can translate from the plural to the singular and/or from the singular to the plural as is appropriate to the context and/or application. The various singular/plural permutations may be expressly set forth herein for sake of clarity.
It will be understood by those within the art that, in general, terms used herein, and especially in the appended claims (e.g., bodies of the appended claims) are generally intended as “open” terms (e.g., the term “including” should be interpreted as “including but not limited to,” the term “having” should be interpreted as “having at least,” the term “includes” should be interpreted as “includes but is not limited to,” etc.).
Although the figures and description may illustrate a specific order of method steps, the order of such steps may differ from what is depicted and described, unless specified differently above. Also, two or more steps may be performed concurrently or with partial concurrence, unless specified differently above. Such variation may depend, for example, on the software and hardware systems chosen and on designer choice. All such variations are within the scope of the disclosure. Likewise, software implementations of the described methods could be accomplished with standard programming techniques with rule-based logic and other logic to accomplish the various connection steps, processing steps, comparison steps, and decision steps.
It will be further understood by those within the art that if a specific number of an introduced claim recitation is intended, such an intent will be explicitly recited in the claim, and in the absence of such recitation, no such intent is present. For example, as an aid to understanding, the following appended claims may contain usage of the introductory phrases “at least one” and “one or more” to introduce claim recitations. However, the use of such phrases should not be construed to imply that the introduction of a claim recitation by the indefinite articles “a” or “an” limits any particular claim containing such introduced claim recitation to inventions containing only one such recitation, even when the same claim includes the introductory phrases “one or more” or “at least one” and indefinite articles such as “a” or “an” (e.g., “a” and/or “an” should typically be interpreted to mean “at least one” or “one or more”); the same holds true for the use of definite articles used to introduce claim recitations. In addition, even if a specific number of an introduced claim recitation is explicitly recited, those skilled in the art will recognize that such recitation should typically be interpreted to mean at least the recited number (e.g., the bare recitation of “two recitations,” without other modifiers, typically means at least two recitations, or two or more recitations).
Furthermore, in those instances where a convention analogous to “at least one of A, B, and C, etc.” is used, in general such a construction is intended in the sense one having skill in the art would understand the convention (e.g., “a system having at least one of A, B, and C” would include but not be limited to systems that have A alone, B alone, C alone, A and B together, A and C together, B and C together, and/or A, B, and C together, etc.). In those instances where a convention analogous to “at least one of A, B, or C, etc.” is used, in general, such a construction is intended in the sense one having skill in the art would understand the convention (e.g., “a system having at least one of A, B, or C” would include but not be limited to systems that have A alone, B alone, C alone, A and B together, A and C together, B and C together, and/or A, B, and C together, etc.). It will be further understood by those within the art that virtually any disjunctive word and/or phrase presenting two or more alternative terms, whether in the description, claims, or drawings, should be understood to contemplate the possibilities of including one of the terms, either of the terms, or both terms. For example, the phrase “A or B” will be understood to include the possibilities of “A” or “B” or “A and B.”
Further, unless otherwise noted, the use of the words “approximate,” “about,” “around,” “substantially,” etc., mean plus or minus ten percent.
Although the present embodiments have been particularly described with reference to preferred examples thereof, it should be readily apparent to those of ordinary skill in the art that changes and modifications in the form and details may be made without departing from the spirit and scope of the present disclosure. It is intended that the appended claims encompass such changes and modifications.
The present application claims priority to U.S. Provisional Patent Application No. 63/167,877 filed Mar. 30, 2021, the contents of which are incorporated herein by reference in their entirety.
This invention was made with government support under Grant Number 1753393, awarded by the National Science Foundation. The government has certain rights in the invention.
Filing Document | Filing Date | Country | Kind |
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PCT/US2022/022622 | 3/30/2022 | WO |
Number | Date | Country | |
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63167877 | Mar 2021 | US |