The invention relates to methods of creating composite materials with tailored spectral properties in the visible and invisible electromagnetic (EM) wave spectrum using a plurality of discrete populations of nano- and/or micro particles and/or nano- and/or micro cavities.
In some embodiments the invention relates to structural elements, which enable the design and construction of buildings or other confined spaces with improved thermal and energetic properties. In particular, the invention enables the construction of buildings, which absorb less solar radiation per given surface area. This results in lower temperatures inside buildings or other confined spaces, increased time to reach higher temperatures inside such buildings or predominantly confined spaces, and/or in reduced power requirements for air-conditioning systems.
Many technical applications require to control the temperature inside predominantly enclosed spaces or, as a related aspect, the control the electromagnetic spectral properties of materials and surfaces. In some instances it may be desirable to keep the temperature inside predominantly enclosed spaces low, or even as low as possible, whereas in other applications the opposite may be the case. In yet other instances, for example related to achieving broadband camouflage effects, the electromagnetic spectral “appearance” may be of primary interest.
The broadband electromagnetic spectral properties of surface materials (within a certain wavelength range) can affect:
The invention relates in particular to the design and manufacturing of composite materials, which have tailored and improved Ultraviolet (UV), visible (VIS), Near Infrared (NIR), Mid Infrared (MIR), and Far Infrared (FIR) properties, by containing tailored mixtures of nano- and micro particles. Henceforth the term ‘light’ shall be understood to apply for all of these spectral ranges, not only the portion visible to humans.
Embodiments herein may be described within the context of a range of electromagnetic frequencies ranging from UV to FIR, since these are of increased importance for visual appearance, thermal management, and camouflage. However, the invention should not be limited to these frequencies, as similar arguments can be made for other electromagnetic frequencies.
Thermal management of predominantly enclosed spaces, including buildings, can be a problem in geographic locations with relatively high levels of solar radiation, specifically in conjunction with high energy cost, which makes in some countries the use of permanent air-conditioning financially problematic for a significant segment of the population.
A considerable portion of the energy, which contributes to indoor temperatures, is the result of absorbed solar radiation by the building envelope. This effect can be true in tropical and subtropical regions, but it also applies in moderate climate zones, for example, during summer or times of increased relative temperature (e.g., in North America, Central and Southern Europe).
Related problems apply also to predominantly open spaces, such as large cities and densely populated areas in tropical and subtropical regions, where concrete and asphalt surfaces can significantly contribute to the common “heat island” effect in such areas.
Thus, reducing the amount of solar radiation, which is absorbed by the surface elements of predominantly enclosed spaces, including buildings, can contribute to reducing indoor temperature and/or reduce the required power for air-conditioning. Furthermore, widespread application of such advanced passive cooling methods can contribute to mitigate the heat island phenomena observed in large cities.
In some embodiments the disclosed invention can serve to fabricate materials and surfaces, which enable to control to a very high degree independently the spectral behavior in the VIS range and NIR range, i.e., optical color and NIR “color”.
In other embodiments of the disclosed invention, such as inside solar-thermal collectors, the exact opposite is the case: Here the target is to maximize the wavelength range and efficiency of conversions of solar radiation into thermal energy.
In yet other embodiments the disclosed invention, a goal is to achieve a close spectral match of surfaces against a given background, i.e. to “blend in” with the environment, preferable over a wide spectral range. Such effects are desirable in defense-related applications, for example surfaces of buildings (bunkers) or combat vehicles, to avoid, delay, or complicate optical, NIR, IR, or FIR (i.e., thermal) detection, including by ground-, air-, or space-based long-range multi-spectral imaging systems.
For purposes of summarizing the invention and the advantages achieved over the prior art, certain objects and advantages of the invention have been described herein. Of course, it is to be understood that not necessarily all such objects or advantages may be achieved in accordance with any particular embodiment of the invention. Thus, for example, those skilled in the art will recognize that the invention may be embodied or carried out in a manner that achieves or optimizes one advantage or group of advantages as taught herein without necessarily achieving other objects or advantages as may be taught or suggested herein.
In an embodiment, a method of creating a composite material is provided. The composite material includes a plurality of populations of nano- or micro-particles and/or of nano- or micro-cavities of predominantly distinct size distributions, shape distributions, chemical compositions, crystal structures, and crystallinity distributions. The plurality of populations are predominantly embedded in a carrier material, in such composition ratios, with such typical properties per population, and in such density relative to the carrier material, that a specific targeted broadband spectral reflectance at least within the VIS and NIR range is approximated, which is at least partially different from the spectral properties of each individual population within the plurality of populations and the carrier.
All of these embodiments are intended to be within the scope of the invention herein disclosed. These and other embodiments of the present invention will become readily apparent to those skilled in the art from the following detailed description of the preferred embodiments having reference to the attached figures, the invention not being limited to any particular preferred embodiment(s) disclosed.
A brief description of the drawings shall serve to summarize some principles of the disclosed invention.
In particular, the composition of said plurality of populations of nano- or micro-particles and/or of nano- or micro-cavities is determined by performing an optimization loop in a high-dimensional space comprising at least taking portions of relative amounts ci [0, 1] from a plurality of reservoirs Ri corresponding to a plurality of said populations of nano- or micro-particles, mixing said portions, and embedding said mixture of said nano- or micro-particles in a carrier material thereby creating a composite. An amount of said composite material is made with sufficiently large surface to determining its broadband spectral properties at least within VIS and NIR. Subsequently an optimization algorithm determines a composition vector jc of a mixture of said nano- or micro-particles taken from each reservoir Ri during a next iterative step j. The process is repeated until a criterion, which is a measure for the degree with which the spectrum obtained from the composite produced during the last iteration does match the target spectrum, has been reached or surpassed. Subsequently larger quantities of said composite are produced for various applications.
Solar radiation, which arrives at the surface of the earth, has a peculiar spectral distribution. This is the result of the spectral distribution of the radiation emitted by the sun, which arrives at the outer edge of the atmosphere (in first order Black-body radiation following Planck's law) and the spectrally selective distribution of scattering and absorption within the earth' atmosphere.
The electromagnetic spectrum can conceptually be divided in Ultraviolet (UV), visible (VIS), Near Infrared (NIR) [0.7 μm-3.0 μm], Mid Infrared (MIR) [3 μm-50 μm], and Far Infrared (MIR) [50 μm to 1 mm]. The exact definition of the boundaries of NIR, MIR, and FIR are somewhat arbitrary and different values are used by different scientific communities. (For example, sometimes the NIR range is defined smaller and an additional Short Wavelength IR SWIR is defined.) For physical reasons (the corresponding black body temperatures) we will henceforth follow the values given above.
As illustrated in
As a reference, in the southwest of the United States, the average energy density per day on a horizontal plate is about 5 to 6 kWh/m2/day on a horizontal plate and >9 kWh/m2/day on a surface, which is 2-axis tracking to remain normal to the incidence (Source: National Solar Radiation Data Base).
The part of the spectrum, which is visible (VIS) to humans, is approximately within the wavelength range between 380 nm and 700 nm. While this visible range corresponds to portion of the spectrum with the highest irradiance, it contains only approximately 45% of the solar power, which arrives at the surface of the earth. The Ultraviolet (UV) portion contains only about <4%, but the range between 750 nm and 2.5 m, which is within the NIR range, contains about 51% of the solar irradiance. (The ratios are good approximates. More precise values depend on numerous other parameters.)
In order to minimize the temperature increase of an object, which is exposed to (sun)light, ideally all of the incident power should be reflected by its surfaces. Clearly, the best performance, i.e., the least relative amount of absorbed power (i.e., the ratio of absorbed power to arriving radiation power), would be expected from a material or a coating, which acts as a broadband reflector, i.e. is highly reflective in UV, visible, and IR (incl. NIR, MIR, FIR), essentially a broadband mirror or at least a diffusely reflecting broadband “white”. Achieving such superior broadband reflectivity constitutes one embodiment of the disclosed invention. Such broadband white or “super-cool” surfaces may be particularly desirable in tropical and or subtropical regions but also e.g. in the southwest of the United States.
In some instance, however, building codes may impose constraints on usable (visual) color of buildings, or certain colors are preferred for esthetic reasons.
Thus, in another embodiment of the disclosed invention, materials are created whereby one is able to control, predominantly independently, the reflectivity of a surface in both the VIS and NIR parts of the spectrum, thus one can at least partially independently control the optical appearance and the IR “appearance”.
Most conventional materials, such as those used for buildings, as well as regular paints, have considerable NIR absorption as illustrated in
Relatively rudimentary approaches to address this problem have been reported and are partially marketed as “cool products” (tiles, paints etc.). However, such earlier approaches typically utilize embedded particles with a random size distribution or at best a weakly controlled and broad distribution.
Usually powders of various metal oxides (e.g. TiO2, YMnO3, Al2O3) or semiconductor oxides such as SiO2 are used, but the size distributions of the particles is not or not well known, or varies depending on the fabrication batch, or the location from which they were collected, and is thus in general not well suited for the indented purpose. The consequence is, that some moderate improvements in the NIR reflectance can be achieved, but the typical results are far from optimal, reaching reflectance values of only around 0.4, but often even considerably less.
Thus, the disclosed invention enables substantial additional improvements in achieving desired spectral properties of material, e.g. high NIR reflectance, if the size distribution of the embedded nano- and/or microparticles is intentionally tailored.
In the most general sense the “color” of a surface, i.e., its broadband spectral reflection and absorption, is the result of its chemical composition and, if present, of the size of contained particles and/or cavities, if they are within a certain size ratio compared to the wavelength.
More precisely, the spectral properties depend on the electronic structure (energy levels and energy bands of electrons, including any band gaps) as well the microscopic (on the scale of the wavelength) distribution of the refractive index n. The refractive index can be derived from the material's macroscopic relative permittivity εr, and its relative permeability μr according to n=(εr·μr)0.5. At optical frequencies most naturally occurring materials have a μr very close to 1, thus the refractive index is proximately n≈εr0.5. Relative permittivity is a measure for electric polarizability, again as a result of specific electronic configurations. Thus, ultimately, n can also be reduced to variations in the distribution of the electron density and polarizability. (Which is why embedded cavities can have effect on the spectral properties.)
Naturally occurring or synthesized chemicals, i.e. molecules, which are used as dies, have such electronic structures (energy levels), which cause highly specific selective absorption of optical wavelength, and thus produce the distinct optical appearance (color).
However, the precise theoretical and/or numerical prediction of spectral properties (at any wavelength range) of arbitrary materials {i.e. any number of chemicals, in arbitrary abundance ratios, and with arbitrary particle size (distribution) and shape (distribution), level of crystallinity, potentially embedded in any other combination of materials} is extremely difficult.
As the most basic case, already more than 100 years ago special solution to Maxwell's equations obtained by Gustav Mie enabled to estimate the (elastic) electromagnetic scattering behavior of small gold particles (as reasonable approximation of so-called perfectly conducting PEC spheres) in solution (water), under the assumptions that (a) the particles are spherical and (b) sufficiently sparsely distributed to consider their scattering behavior independent of each other. (Gustav Mie, Contributions to the optics of diffuse media, specifically colloidal metallic suspensions, Annalen der Physik, 4th series, Vol. 25 (1908) No. 3, pp. 377-445.) Likewise, Lorenz' theory provided an approximation of the electromagnetic wave scattering behavior of sparsely distributed dielectric spheres.
However, both assumptions are not valid for composite materials, which are of practical use as building materials, i.e. have potentially impact on the thermal management of contained spaces. Thus, more advanced models also need consider non-spherical particles or cavities (which are practically the norm), and require the computation of the wavelength-dependent anisotropic scattering behavior of such objects. Moreover, most practical solid materials, or suspensions of particles, which are cast or applied as a liquid or gel and then dried and form a solid, must have high particle densities, which in turn necessitates to consider cascades of multiple scattering among such particles as well as interference effects depending on the material thickness. Realistically, such calculations need to be performed as numerical simulations for sufficient accuracy, but this creates very high computational demands (e.g. at least in part based on Finite-Difference Time Domain solvers for Maxwell's equations).
While such theoretical and numerical methods can provide very helpful guidance for the development of materials with certain spectral qualities, in some cases experimental methods remain to be essential. One such insight is that the overall spectral properties of the material can be far better controlled, if the material consists of a tailored combination of discrete constituents, which contain nano- and/or micro particles of highly distinct size, shape, and electronic configurations.
In few cases will one be able to find natural occurring material, which will have spectral properties that are ideal for a considered application. Thus, by using a tailored mix of nano- and/or micro particles, far better matching of the desired spectral properties of the final material to a target spectrum can be achieved.
Yet again, a forward determination of the optimal mix of nano- and/or micro particles to match a given target spectrum is in general difficult if not impossible to obtain. Thus, as illustrated highly simplified and schematically in
It shall be mentioned that from a theoretical standpoint the need for using an optimization algorithm arises because determining a suitable composition vector c to produce a material with a sufficiently close match to the desired spectrum is essentially a nonlinear inverse problem, which can in general not be solved directly.
In some embodiments the optimization process may be aided by computational modeling, which attempts to predict the spectral performance of the material produced during the subsequent iteration. In some embodiments it may be sufficient to only rely on such computation models, or at least during some of the optimization steps.
Once the composition vector c for the specific set of reservoirs R (or more specifically the set of particle properties) and the specific target spectrum is determined, the material can be produced in larger quantities.
There are Several Typical Embodiments, which Correspond to Typical Target Spectra:
In some embodiments the target is to produce a material with a broadband highly reflective spectrum (e.g., reflectivity close to 1), i.e., a broadband bright white, at least within the VIS and NIR range, or even beyond that. Composite materials with such properties and structural elements made thereof are ideal for unconditionally reducing the amount of absorbed solar radiation, thus reducing the amount converted to thermal energy.
In some such embodiments the target spectral property is extended even beyond the NIR range into the FIR range, which in some such embodiments is targeted to be as black as possible, i.e. the FIR reflectance is as close as possible to zero. Such a composite material will not only minimize the absorption of solar radiation and its conversion to thermal energy, but also exhibit improved performance in terms of radiating gained heat, i.e., cooling off once exposure to direct radiation has stopped.
In some embodiments the target is to produce a composite material with a broadband highly absorbing spectrum, i.e. a broadband black material, at least within the VIS and NIR range. Such a composite material will convert most of the incident radiation into heat. Application may include the inside walls of solar-thermal collectors. In some such applications, in addition to being predominantly VIS and NIR black, the material will also be predominantly black in the FIR, which will cause to exhibit increased radiative thermal losses. In some other such applications, in addition to being predominantly VIS and NIR black, the composite material will also be predominantly white in the FIR, which will cause to exhibit reduced radiative thermal losses, i.e. it will stay warm longer after the exposure to radiation stops or is reduced below a level sufficient to retain its temperature.
In some embodiments the target is to produce a composite material of a specific visual color (i.e. not white), but nevertheless with very high broadband NIR reflectivity, as close as possible to unity. The disclosed invention enables to fabricate such “super-cool” yet visually colored composite materials with far better NIR performance compared to existing solutions. Such materials are suitable to give buildings a desired optical appearance while strongly reducing the amount of absorbed solar radiation, thus reducing the amount of retained thermal energy compared to existing solutions.
In some such embodiments the target is to produce a material of a specific visual color (i.e. not white), with relatively high broadband NIR reflectivity, as well as with relatively low reflectivity in the FIR range. Such material can be made to match a desired visual color, still exhibit relatively decreased heat gain under exposure to solar radiation, and will also comparatively rapidly cool off once exposure to solar radiation seizes.
In some embodiments of the disclosed invention the targeted spectral properties of the material are optimized for exposure to electromagnetic radiation of comparable wavelength but other than solar radiation. Such applications may relate to walls of reaction chambers, turbines, ovens, furnaces, or reactors. In many such applications it is desirable to reduce excessive heating of surfaces and materials.
There are Several Additional Embodiments in Terms of the Types of Used Nano- and Micro Particles Although this is not Meant to Imply any Limitations Thereon:
In some embodiments, for example, if the target is to produce predominantly broadband highly reflective materials, some of said nano- and micro-particles may consist of barium sulfate BaSO4. In some such embodiments the BaSO4 particles may be derived from finely ground and size-filtered Baryte. In other such preferred embodiments some of said nano- and micro-particles may consist of Kaolinite—Al2Si2O5(OH)4, and/or zinc sulfide—ZnS, and/or Diopside—MgCa[Si2O6], and/or Goethite—α-Fe3+O(OH), and/or Rutile—TiO2 with body-centered tetragonal unit cell, and/or Chrysotile—Mg3(Si2O5)(OH)4, and/or tin dioxide SnO2, and/or Calcite—trigonal CaCO3, and/or hydrated magnesium silicate-monoclinic or triclinic Mg3Si4O10(OH)2, and/or calcium sulfate dihydrate—CaSO4.2H2O, and/or titanium dioxide TiO2, and/or aluminum oxide Al2O3, and/or silicon dioxide SiO2, and/or some sheet silicate minerals including but not limited to Muscovite—KAl2(AlSi3O10)(F,OH)2, and/or other particles derived from similar minerals or synthesized in to form particles with comparable properties.
There are Several Additional Embodiments in Terms of the Used Embedding Material Although this is not Meant to Imply any Limitations Thereon:
In some embodiments discrete populations of nano- and micro particle mixtures obtained as disclosed above are embedded in carrier material which contains or predominantly contains polytetrafluoroethylene (PTFE) or other fluoropolymer.
In some embodiments discrete populations of nano- and micro particle mixtures obtained as disclosed are embedded in carrier material, which contains or predominantly contains polyamide-imide (incl. based on trimellitic anhydride (TMA) and methylene dianiline (MDA)), polyethersulfone (PES), polyether ether ketone (PEEK), polymethyl-methacrylate (PMMA) or other acrylics, or polyurethanes.
In some embodiments discrete populations of nano- and micro particle mixtures obtained as disclosed are embedded in carrier material, which contains or predominantly contains minerals, and/or clay, and/or cement, cementitious material, or consists predominantly of concrete.
There are Several Additional Embodiments in Terms of the Fabricated Structures, which May be Produced According to the Disclosed Invention:
In some embodiments the disclosed material is part of fabricated structural elements. In some such embodiments concrete, cement, cementitious material, clay, or similar minerals is cast into forms, which have said mixture of particles applied to the wall prior to the casting process, such that said particle mixtures become predominantly embedded to the surface regions of the finished concrete, clay, or ceramic elements. This enables to create surface properties which are resistant to damage, scratching, and aging.
In some embodiments concrete, cement, clay, or other ceramics are cast into forms and said mixtures of particles are applied to the still predominantly wet and exposed surfaces. In some of these embodiments said concrete or clay elements are used to erect houses or other buildings and/or are parts to prefabricated houses. Such houses will have enhanced thermal properties, e.g. offer improved living conditions (in terms of inside temperatures) without or with reduced air-conditioning.
In some embodiments the produced composite materials are used to produce predominantly sheets, plates, tiles, etc., which are mounted on the surface of house, including roofs, and are effectively acting as solar radiation shields.
In some embodiments the disclosed composite material is fabricated as a liquid or gel-like layer with sufficiently strong adhesive properties and which may be applied on already erected buildings or on raw building materials.
The application of the foregoing applies to ceramic, bitumen, asphalt, tarmac, clay, mortar, cement, cementitious material, or concrete tiles, blocks, panels, roof elements, columns, girders, arcs, bricks, sheets, layers, or other elements suitable to erect structures or to be mounted onto or applied to the surface of such structures, including but not limited to for housing, storage, protection, bridges, pavements, runways, or other means to support traffic, or other purposes. In some embodiments discrete populations of nano- and micro particle mixtures obtained as disclosed are embedded in carrier predominantly made of asphalt.
In some embodiments, for example, in case of roofs or roof elements, the produced composite material has arbitrary absorbance in the visible spectrum (400 nm to 700 nm) to choose the visible color, high reflectance in the NIR range to reduce the absorption of solar energy, and high absorbance and in the mid IR and FIR, which enables improved thermal emittance. This FIR property support the relatively rapid loss of heat, e.g. during cloudless the nights.
In some embodiments, for example, in case of walls, the produced composite material has arbitrary absorbance in the visible spectrum (400 nm to 700 nm) to choose the visible color, high reflectance in the NIR range to reduce the absorption of solar energy, as well as high reflectance in the MIR and FIR. Walls are typically exposed to mid and far IR (thermal) radiation predominantly diffusely emitted by surround soil, vegetation, or other building and thus this targeted spectral property reduces heat gain also in this spectral range.
The disclosed method enables in some such embodiments, such as those related to buildings, composite materials, which exhibit what may be referred to as “super-cool” properties due to the much-improved approximation of ideal NIR and FIR properties compared to existing approaches and materials.
In some embodiments the disclosed composite material is applied onto predominantly metallic elements. In some embodiments composite materials with discrete populations of nano- and micro particle mixtures obtained as disclosed above, are applied to the surface of vehicles, including automobiles, busses, or trucks, in order to reduce heat gain while exposed to solar radiation.
In some embodiments composite materials with discrete populations of nano- and micro particle mixtures obtained as disclosed above are applied to the surface of satellites or space craft to reduce heat gain while exposed to solar radiation.
In some embodiment, such as defense-related applications, a goal is not to enhance or reduce heat gain but rather to achieve an improved spectral match of vehicles, buildings, or other structures with the surrounding environment. For example, many military and defense related structures, such as concrete bunkers, garages, or silos etc. are frequently painted with various camouflage patterns and in colors matching the direct environment, in order to make visual detection, both by humans or by suitable detection systems operating in the VIS range, more complicated. However, such concrete structures will still have distinct NIR reflectance spectra (NIR “color”) based on their specific composition, which is in general considerably different from surrounding soil or rocks. Thus, detection by aircraft, drone, or satellite based broadband or NIR (“multispectral”) long-range imaging systems is relatively easy, since the erected structures provide in general a clear contrast in said wavelength range.
The disclosed method allows to produce composite materials, from which such structures can be made, or which can be applied to or mounted onto the surface of such structures, which spectrally more closely resemble their environment also in the NIR and potentially FIR range. This can delay and complicate said reconnaissance and detection of said structures from aircraft or satellites. In addition, such properties can also result in a better matched thermal behavior.
In some such embodiments a custom-made layer of materials produced according to the disclosed method is produced in the field. In such cases the VIS and NIR spectral properties can be measured directly on the site or in the close vicinity where a bunker or similar structure is built, a material containing said tailored mixtures of nano- and/or micro particles is produced, for example on a vehicle equipped with the required instruments and equipment for this purpose, and applied to the structure. In some embodiments the material may be applied as a relatively thick spray coating. In other embodiments sheets may locally be produced, which are then mounted onto the surface of said structure.
In yet some other related embodiments spectral measurements are taken at various typical sites, where it is expected that structures with such enhanced detection avoidance capabilities may be needed, and then elements for buildings are pre-produced using sets of composite materials, which are spectrally relatively closely matched as disclosed to said sites. In some such embodiments these may be elements predominantly made from concrete. In some other such embodiments these prefabricated sets of composite materials may be claylike materials, which can be applied to concrete structures, which have previously been erected.
In some embodiments composite materials with tailored discrete populations of nano- and micro particle mixtures obtained as disclosed above, are applied to the surface of vehicles, including tanks, troop carriers, trucks, or other combat vehicles in order to achieve an improved spectral matching both in VIS and NIR relative to an environment wherein said vehicles operate, thus complicating and/or delaying ground-, air-, or space-based detection (including homing systems missiles). In some such embodiments the surface of said vehicles is effectively permanently prepared to have certain broadband spectral properties. In some other such embodiments the surface of said vehicles is predominantly temporarily prepared for a relatively short amount of time, typically on the order of hours or days, but well matched to the broadband spectral properties of the environment, which is expected to be subsequently encountered, e.g. based on the terrain, which is to be traversed. In some such embodiments previous ground-, air-, or space-based reconnaissance missions have at least in part obtained the desired target spectra by measuring typical NIR spectra of the terrain, which is to be traversed.
Although the invention has been disclosed in the context of certain embodiments and examples, it will be understood by those skilled in the art that the invention extends beyond the specifically disclosed embodiments to other alternative embodiments and/or uses and obvious modifications and equivalents thereof. Accordingly, the invention is not intended to be limited by the specific disclosures or preferred embodiments herein.
Any and all applications for which a foreign or domestic priority claim is identified in the Application Data Sheet as filed with the present application are hereby incorporated by reference under 37 CFR 1.57. This application is a CON of Ser. No. 16/387,206 (FILED Apr. 17, 2019), which application is a CON of Ser. No. 14/831,813 (filed Aug. 20, 2015, now U.S. Pat. No. 10,280,626), which application claims priority to U.S. 62/041,303 (filed Aug. 25, 2014).
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Number | Date | Country | |
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20190301169 A1 | Oct 2019 | US |
Number | Date | Country | |
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62041303 | Aug 2014 | US |
Number | Date | Country | |
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Parent | 16387206 | Apr 2019 | US |
Child | 16447701 | US | |
Parent | 14831813 | Aug 2015 | US |
Child | 16387206 | US |