PRECISION SYSTEM FOR ADDITIVE FABRICATION
20220281176 · 2022-09-08
Inventors
- Wenshou WANG (Quincy, MA, US)
- Gregory ELLSON (Cambridge, MA, US)
- Yan ZHANG (Lowell, MA, US)
- Desai Chen (Arlington, MA)
- Javier Ramos (Brookline, MA, US)
- Wojciech Matusik (Lexington, MA)
- Kiril Vidimce (Cambridge, MA, US)
Cpc classification
C09D11/38
CHEMISTRY; METALLURGY
B33Y10/00
PERFORMING OPERATIONS; TRANSPORTING
B29C64/112
PERFORMING OPERATIONS; TRANSPORTING
B33Y70/00
PERFORMING OPERATIONS; TRANSPORTING
B33Y30/00
PERFORMING OPERATIONS; TRANSPORTING
C09D11/102
CHEMISTRY; METALLURGY
B29K2063/00
PERFORMING OPERATIONS; TRANSPORTING
B33Y50/02
PERFORMING OPERATIONS; TRANSPORTING
B29C64/393
PERFORMING OPERATIONS; TRANSPORTING
International classification
B29C64/393
PERFORMING OPERATIONS; TRANSPORTING
B29C64/112
PERFORMING OPERATIONS; TRANSPORTING
B33Y10/00
PERFORMING OPERATIONS; TRANSPORTING
B33Y30/00
PERFORMING OPERATIONS; TRANSPORTING
B33Y50/02
PERFORMING OPERATIONS; TRANSPORTING
B33Y70/00
PERFORMING OPERATIONS; TRANSPORTING
C09D11/101
CHEMISTRY; METALLURGY
C09D11/102
CHEMISTRY; METALLURGY
Abstract
An approach to precision additive fabrication uses jetting of cationic compositions in conjunction with a non-contact (e.g., optical) feedback approach. By not requiring contact to control the surface geometry of the object being manufactured, the approach is tolerant of the relative slow curing of the cationic composition, while maintaining the benefit of control of the deposition processes according to feedback during the fabrication processes. This approach provides a way to manufacture precision objects and benefit from material properties of the fabricated objects, for example, with isotropic properties, which may be at least partially a result of the slow curing, and flexible structures, which may not be attainable using conventional jetted acrylates.
Claims
1. (canceled)
2. An apparatus for use in carrying out additive manufacturing of an object, said apparatus comprising an ink that comprises a material, said material being capable of undergoing cationic polymerization in response to illumination thereof, said material comprising an epoxy functional group, a platform upon which said object is fabricated, a printer that receives said ink and deposits said ink on said platform, a lamp that triggers curing of said material on said platform, a motion actuator that causes relative motion between said printer and said platform, and a controller that carries out non-contact feedback control over said printing process based on non-contact inspection of said object during fabrication thereof.
3. The apparatus of claim 2, further comprising a support material to form a support structure for said object.
4. The apparatus of claim 2, further comprising a model of said object, wherein said controller is configured to receive said model and to use said model during said non-contact feedback control.
5. The apparatus of claim 2, wherein said motion actuator has three degrees of freedom of movement.
6. The apparatus of claim 2, wherein said controller is configured to compensate for flowing, mixing, absorption, and curing of said ink during said non-contact feedback control.
7. The apparatus of claim 2, wherein said ink comprises a material that releases protons in response to illumination.
8. The apparatus of claim 2, wherein said ink comprises a material that irreversibly releases protons in response to illumination.
9. The apparatus of claim 2, wherein said ink comprises a substance that facilitates start of a cationic reaction.
10. The apparatus of claim 2, wherein said ink comprises particles that cause said ink to have a strength that exceeds that of said material.
11. The apparatus of claim 2, wherein said ink comprises particles that cause said ink to have a brightness that exceeds that of said material.
12. The apparatus of claim 2, wherein said ink comprises particles that cause said ink to emit electromagnetic radiation to an extent greater than said material.
13. The apparatus of claim 2, wherein said ink is configured to have a viscosity that changes by less than two centipoise during jetting thereof.
14. The apparatus of claim 2, wherein said ink is configured to have a viscosity of five and fifteen centipoise when being jetted towards said platform.
15. The apparatus of claim 2, wherein said ink is configured to have a surface tension of between fifteen and forty millinewtons per meter when being jetted towards said platform.
16. The apparatus of claim 2, wherein said ink, when cured, has a tensile strength of between thirty-seven and one-hundred five megapascals.
17. The apparatus of claim 2, wherein said ink, when cured, has a Young's modulus of between fifteen-hundred and twenty-six hundred megapascals.
18. The apparatus of claim 2, wherein said ink is configured to cause said object manufactured therefrom to elongate by between seven percent and nine percent.
19. The apparatus of claim 2, wherein said printer comprises first and second jets, wherein said first jet receives said ink and wherein said second jet receives a support material.
20. The apparatus of claim 2, wherein said printer comprises a non-contact sensor in data communication with said controller.
21. The apparatus of claim 2, wherein said ink consists of at most one photo-polymerizable component and wherein said at most one photo-polymerizable component is said material.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0042]
[0043]
[0044]
DETAILED DESCRIPTION
[0045] The description below relates additive fabrication, for example using a jetting-based 3D printer 100 shown in
[0046] A sensor 160 is used to determine physical characteristics of the partially fabricated object, including one or more of the surface geometry (e.g., a depth map characterizing the thickness/depth of the partially fabricated object), subsurface (e.g., in the near surface comprising, for example, 10s or 100s of deposited layers) characteristics. The characteristic that may be sensed can include one or more of a material density, material identification, and a curing state. Various types of sensing can be used, including optical coherence tomography (OCT), laser profilometry, and/or as well as multi-spectral optical sensing, which may be used to distinguish different materials. In the illustrated printer, the sensor outputs a signal that may cause emission (e.g., fluorescence) and/or reflection, scattering, or absorption from or in the object. The sensor output signal may be provided from the top (i.e., the most recently deposited portion) of the object, while in some embodiments, the sensor output signal may come from below or other direction of the object.
[0047] Precision additive fabrication using inkjet technology has introduced use of optical-scanning-based feedback in order to adapt the deposition of material to achieve accurate object structure without requiring mechanical approaches that have been previously used. For example, such optical feedback techniques are described in U.S. Pat. No. 10,252,466, “Systems and methods of machine vision assisted additive fabrication,” and U.S. Pat. No. 10,456,984, “Adaptive material deposition for additive manufacturing,” which are incorporated herein by reference. However, optical feedback-based printers are not a prevalent commercial approach to 3D printing, perhaps due to the relative simplicity of approaches that do not achieve the precision attainable with optical feedback or that use mechanical approaches in conjunction with rapidly curing inks. Furthermore, many fabrication materials suitable for jetted additive fabrication are not directly suitable for optical scanning as inadequate optical signal strength may propagate from the material during scanning. For example, the material may be naturally substantially transparent and not reflect incident light suitably to be captured to yield an accurate characterization of the object being fabricated. However, with suitable incorporation of an optical enhancement component in the fabrication material, the ability to scan the material that has been deposited can be enhanced. Further details regarding suitable optical enhancement components may be found in copending International Application No. PCT/US19/59300, filed Nov. 1, 2019, titled “Optical Scanning for Industrial Metrology,” which is incorporated herein by reference.
[0048] By not requiring contact to control the surface geometry of the object being manufactured, the approach is tolerant of the relative slow curing of the cationic composition, while maintaining the benefit of control of the deposition processes according to feedback during the fabrication processes. This approach provides a way to manufacture precision objects and benefit from material properties of the fabricated objects, for example, with isotropic properties, which may be at least partially a result of the slow curing, and flexible structures, which may not be attainable using conventional jetted acrylates. Furthermore, in cases when ongoing curing after scanning may change the geometry of the part, for example, due to shrinkage, predictive techniques (e.g., using machine-learning approaches, e.g., as described in co-pending application International Application PCT/US19/59567, filed Nov. 2, 2019, titled “Intelligent Additive Manufacturing,” incorporated herein by reference) may be used in the control process to predict such changes, further accommodating the cationic compositions into a precision jetted fabrication approach.
[0049] A controller 110 uses a model 190 of the object to be fabricated to control motion of the build platform 130 using a motion actuator 150 (e.g., providing three degree of motion) and control the emission of material from the jets 120 according to the non-contact feedback of the object characteristics determined via the sensor 160. Use of the feedback arrangement can produce a precision object by compensating for inherent unpredictable aspects of jetting (e.g., clogging of jet orifices) and unpredictable material changes after deposition, including for example, flowing, mixing, absorption, and curing of the jetted materials.
[0050] The printer shown in
[0051] Within printing systems of the type shown in
[0052] Furthermore, in accordance with the embodiment of the present invention in which the cationic polymerizable component is a molecule with epoxy functional group, the molecule in various embodiments is an epoxy monomer, an epoxy oligomer, an epoxy crosslinker, or any combination thereof. Table 1 lists some of the cationic polymerizable molecules with epoxy functional group, but the invention is not limited to these embodiments.
TABLE-US-00001 TABLE 1 Examples of cationic polymerizable molecules with an epoxy function group Materials CAS No. Trade Name Supplier 2,3-Epoxypropyl phenyl 122-60-1 ERISYS* GE-13 CVC Thermoset Specialties ether 844 N. Lenola Road Moorestown, NJ 08057 o-Cresyl glycidyl ether 0002210-79-9 ERISYS* GE-10 CVC Thermoset Specialties 844 N. Lenola Road Moorestown, NJ 08057 p-tert-Butyl phenyl 0003101-60-8 ERISYS* GE-11 CVC Thermoset Specialties glycidyl ether 844 N. Lenola Road Moorestown, NJ 08057 BUTYL GLYCIDYL ETHER 2426-08-6 Sigma-Aldrich Corp 3050 Spruce St. St. Louis, MO 63103 1,4-BUTANEDIOL DIGLYCIDYL 2425-79-8 Sigma-Aldrich Corp ETHER 3050 Spruce St. St. Louis, MO 63103 (3-4-Epoxycyclohexane) 2386-87-0 Omnilane OC 2005 IGM Resins USA Inc. methyl3'-4'- 3300 Westinghouse Blvd Epoxycyclohexyl- Charlotte, NC 28273 Carboxylate bis(7- 3130-19-6 Omnilane OC 3005 IGM Resins USA Inc. oxabicyclo[4.1.0]hept-3- 3300 Westinghouse Blvd ylmethyl) adipate Charlotte, NC 28273 Modified Bisphenol A D.E.R. ™ 301 Olin Epoxy Liquid Epoxy Resin Clayton, Missouri, United States of America Bisphenol F Epoxy Resins D.E.R. ™ 354 Olin Epoxy Clayton, Missouri, United States of America
[0053] Furthermore, in accordance with various embodiments of the present invention, the cationic polymerizable component is a molecule with oxetane functional group. The molecule with oxetane functional group is an oxetane monomer, an oxetane oligomer, an oxetane crosslinker, or any combination thereof. Table 2 lists some of the cationic polymerizable molecules with an oxetane functional group, but the invention is not limited to these embodiments.
TABLE-US-00002 TABLE 2 Examples of cationic polymerizable molecules with oxetane function group Materials CAS No Trade Name Supplier ETERNACOLL ® OXBP ETERNACOLL ® OXBP UBE America Inc 261 Madison Avenue, 28th Floor New York, NY 10016 3-ETHYL-3- 37674-57-0 ETERNACOLL ® OXMA UBE America Inc (METHACRYLOYLOXY) 261 Madison Avenue, METHYLOXETANE 28th Floor New York, NY 10016 bis[1-Ethyl(3- 18934-00-4 ARON OXETANE OXT- Toagosei Co., Ltd oxetanyl)]methyl ether 221 1-14-1 Nishi- Shimbashi, Minato- ku, Tokyo 105-8419, Japan 3-ETHYL-3-HYDROXYMETHYL 3047-32-3 OXT101 Toagosei Co., Ltd OXETANE 1-14-1 Nishi- Shimbashi, Minato- ku, Tokyo 105-8419, Japan 3-METHYL-3- 3143-02-0 Sigma-Aldrich Corp OXETANEMETHANOL 3050 Spruce St. St. Louis, MO 63103 1,4-bis[(3-ethyl-3- 142627-97-2 GASON ® XDO Guarson Chem Co. oxetanylmethoxy)methyl] LTD benzene Jiangyan District, Taizhou, Jiangsu Province, China 3-Ethyl-3- 483303-25-9 GASON ® CHOX Guarson Chem Co. cyclohexyloxymethyl- LTD oxetane Jiangyan District, Taizhou, Jiangsu Province, China 3-Ethyl-3-phenoxymethyl- 3897-65-2 GASON ® EPOX Guarson Chem Co. oxetane LTD Jiangyan District, Taizhou, Jiangsu Province, China 3-ethyl-[(tri- 220520-33-2 GASON ®TESOX Guarson Chem Co. ethoxysilylpropoxy) LTD methyl]oxetane Jiangyan District, Taizhou, Jiangsu Province, China
[0054] Furthermore, in accordance with various embodiments of the present invention, the cationic polymerizable component is a molecule with vinyl functional group. The molecule with vinyl functional group is a vinyl monomer, a vinyl oligomer, a vinyl crosslinker, or any combination thereof. Some embodiments of molecules with vinyl functional groups are, but are not limited to, 1,4-Cyclohexanedimethanol divinyl ether, Diethylene glycol divinyl ether, Triethylene glycol divinyl ether, N-Vinyl-caprolactam, etc.
[0055] In accordance with various embodiments of the present invention, the cationic polymerizable composition comprises a photoacid generator (PAG). Photoacids are molecules which become more acidic upon absorption of light. This transformation is due either to the formation of strong acids upon photoassociation or to the dissociation of protons upon photoassociation. There are two main types of molecules that release protons upon illumination: photoacid generators (PAGs) and photoacids (PAHs). PAGs undergo proton photodissociation irreversibly.
[0056] Table 3 shows some embodiments of PAGs.
TABLE-US-00003 TABLE 3 TRADE NAME CHEMICAL NAME CAS No. PAG 103 BENZENEACETONITRILE,2-METHYL-A-[2- 852246-55-0 [[(PROPYLSULFONYL)OXY]IMINO]-3(2H)-THIENYLIDENE]- PAG 203 ETHANONE,1,1′-(1,3-PROPANEDIYLBIS(OXY-4,1- 300374-81-6 PHENYLENE))BIS(2,2,2-TRIFLUORO-,1,1′-BIS(O- (PROPYLSULFONYL)OXIME) PAG 94882 BIS(4-TERT-BUTYLPHENYL)IODONIUM TRIFLATE(99% MIN) 84563-54-2 PAG 94884 BIS(4-TERT-BUTYLPHENYL)IODONIUM PERFLUORO-1- 194999-85-4 BUTANESULFONATE (99% MIN) PAG 94885 BIS(4-TERT-BUTYLPHENYL)IODONIUM P- 131717-99-2 TOLUENESULFONATE(99% MIN) PAG 69882 (4-TERT-BUTYLPHENYL)DIPHENYLSULFONIUM TRIFLATE 145612-66-4 PAG 69904 TRIPHENYLSULFONIUM PERFLUORO-1- 144317-44-2 BUTANESUFONATE(9% MIN) PAG 69902 TRIPHENYLSULFONIUM TRIFLATE(∧MAX 233 NM) 66003-78-9 PAG 69802 (4-FLUOROPHENYL)DIPHENYLSULFONIUM TRIFLATE 154093-57-9 PAG 69702 (4-BROMOPHENYL)DIPHENYLSULFONIUM TRIFLATE(∧MAX 255056-44-1 242 NM) PAG 69602 (4-METHYLPHENYL)DIPHENYLSULFONIUM TRIFLATE 81416-37-7 PAG 69502 (4-METHOXYPHENYL)DIPHENYLSULFONIUM TRIFLATE(∧MAX 116808-67-4 260 NM) PAG 69402 (4-IODOPHENYL)DIPHENYLSULFONIUM TRIFLATE 255056-46-3 (∧MAX 262 NM) PAG 69302 (4-PHENYLTHIOPHENYL)DIPHENYLSULFONIUM TRIFLATE 111281-12-0 (∧MAX 298 NM) PAG 69202 (4-PHENOXYPHENYL)DIPHENYLSULFONIUM TRIFLATE(∧MAX 240482-96-6 256 NM) IRGACURE 290 HIGH MOLECULAR WEIGHT SULFONIUM TETRAKIS[PENTAFLUOROPHENYL] BORATE IRGACURE 250 75% SOLUTION OF IODONIUM, (4-METHYLPHENYL)[4-(2- 344562-80-7 METHYLPROPYL) PHENYL]-, HEXAFLUOROPHOSPHATE(1-) IN PROPYLENE CARBONATE
[0057] In accordance with the various embodiments of PAGs, the content of PAGs in the formulation is in the range of 0.1 wt % to 10 wt %. Further, the content of PAGs in the formulation is in the range of 0.5 wt % to 5 wt %. In accordance with the various embodiments, a sensitizer is added. The sensitizer is a substance other than a PAG that facilitates the start of a cationic reaction, a few examples of sensitizers are: ITX, CPTX, UVS 1101, etc.
[0058] In addition to the above-mentioned components of the UV-curable printable matrix materials, in various embodiments the composition includes particles that enhance mechanical, thermal, and/or optical properties of the material. In some embodiments nano-scale particles are added to modify the spectral properties of the material. For example, the addition of 4-6% of Nanomer I.28E-BR (from Nanocor LLC) into the formulation could improve flame retardancy and heat resistance of the resulted printable objects. In some embodiments pigments or dyes are added for modification of the optical characteristics. For example, the addition of 0.5 wt % of Magenta DPGDA Dispersion (from Penn Color) into the formulation results in a red print.
[0059] Other additions to the composition in various embodiments include: sensitizers, Surfactants, inhibitors, and other structural fillers. It should be noted that if particulates are used as filler, the size of filler particles should be to be less than 1/20 of nozzle size and ideally less than 1 micron.
[0060] Ejecting the first layer of printable matrix material, in one embodiment, is accomplished using one or more inkjet dispensing devices. Ejecting the second fluid is also accomplished using one or more inkjet dispensing devices. The dispensing typically takes place at or near room temperature and less than 100° C. The first fluid and second fluid in one embodiment are cationic polymerizable printable matrix material: in some embodiments, the first fluid and the second fluid are the same printable matrix material; in some embodiments, the second fluid is a different type of ink printable matrix material, such as a free-radical polymerizable printable matrix material; in some other embodiment, the second fluid is another type of printable matrix material, such as a solvent based printable matrix material. Additional printable matrix material is used in other embodiments as support materials.
[0061] The additive manufacturing system uses a sensing device that images the build platform and printed objects during printing. The imaging system measures spatial dimensions, 3D surface, 3D volume, or materials of object/objects being printed. Based on the data from these measurements, the print data for the next layers is adapted/modified accordingly.
[0062] As introduced above, the fabrication material (“ink”) preferably includes an optical enhancement component (“brightener”), which improves optical scanning by causing or increases the strength of or otherwise affects the characteristics (e.g., strength, spectral content, etc.) of optical (or other electromagnetic) emission from a material during additive fabrication. An “emission” of a signal from the material means any form of propagation of the signal (i.e., electromagnetic radiation), whether resulting from, without limitation, reflection or scattering of a signal in the material, from attenuation of a signal passing through the material, from fluorescence or luminescence within the material, or from a combination of such effects, and “scanning” the emitted signal means any form of sensing and/or processing of the propagated signal. In some examples, the approach makes use of an additive (or a combination of multiple additives) that causes optical emission or increases the received signal strength and/or improves the received signal-to-noise ratio in optical scanning for industrial metrology. Elements not naturally present in the material used for fabrication are introduced in the additives in order to increase fluorescence, scattering or luminescence. Such additives may include one or more of: small molecules, polymers, peptides, proteins, metal or semiconductive nanoparticles, and silicate nanoparticles. In cases when there are multiple materials deposited in fabrications, each material can include a different optical enhancement component (or combination of such components), thereby making them distinguishable in scanning. As examples, the optical enhancement component comprises a material of a stillbene class, such as 2,2′-(2,5-thiophenediyl)bis(5-tert-butylbenzoxazole), or a material from a thiophene class, such as 2,2′-(1,2-ethenediyl)bis(4,1-phenylene)bisbenzoxazole.
[0063] Further, the additive manufacturing system is intelligent enabled by the use of one or more of machine learning and feedback through machine vision. For example, A transformation will be applied to the 3D model of the part to be printed to produce a modified 3D model. The transformation is configured with configuration data to compensate for at least some characteristics of a printing process, such as shrinkage, mixing, and or flowing, for example, as described in U.S. application Ser. No. 16/672,711, “Intelligent Additive Manufacturing,”
[0064] The additive manufacturing system is equipped with a light source to cure the dispensed cationic polymerizable printable matrix material; the light source in various embodiments is a LED, LED arrays, mercury lamp, etc. The output spectra of light source should have overlap with the absorption peaks of the photo initiators used in the formulation. In some embodiments the additive manufacturing system is equipped with a heating element to speed up the polymerization of jetted materials. For example, the interior build volume can be heated during the whole time of printing. The heating element in other embodiments is applied to the object being printed at desired intervals. The heating element in various embodiments is a heater a ceramic heater and fan. In other embodiments heat is generated by infrared radiation.
[0065] Alternatively, in various embodiments a post-process step is carried out in order to improve the properties of the printed objects. In one embodiment the post-process includes exposing the finished print to light. This post-process is good for thin objects or the outer layers of larger objects.
[0066] In other embodiments the post-process involves exposing printed objects to thermal radiation. For example, a printed object is placed into a thermal oven for certain amount of time with a controlled temperature. Furthermore, the printed object in other embodiments is post-processed in programed temperature, such as post-processed at 80C for 2 hours, then 100C for
[0067] One embodiment of a cationic photo polymerizable composition is listed in Table 4.
TABLE-US-00004 TABLE 4 EPX Formulation 2,2-Bis(4- Erisys OMNI Glycidyloxy- Irgacure Irgacure GE-13 OC2005 phenyl)propane 250 ITX 290 (%) (%) (%) (%) (%) (%) EPX1 30 30 39 1 EPX2 30 30 38.5 1 0.5
[0068] The preparation of this composition begins with the addition of 40 g of bisphenol A diglycidyl ether, 30 g of Omnilane OC 2005, 30 g of Erisys GE-13 and 1 g of Irgacure 290 (as photoinitiator) into a 200 ml amber bottle. The resulting mixture is stirred with magnetic stir bar until the solids (Irgacure 290) dissolved completely and a uniform solution results.
[0069] The fluid properties of the composition are shown in Table 5. In general the printing material has viscosities between 3-20 cps at jetting temperature and more ideally between 5-15 cps at jetting temperature. The change of viscosity should be less than 2 cps during jetting. In addition the printing material has a surface tension between 15-40 mN/m at jetting temperature.
TABLE-US-00005 TABLE 5 Fluid properties Temperature (° C.) 25 50 60 70 Viscosity (cPs) 105 25 17 11 Surface tension 45 (mN/m)
[0070] To determine the mechanical properties of the composition, Dogbones (
TABLE-US-00006 TABLE 6 Mechanical Properties Tensile strength Young's Modulus Elongation at Sample (MPa) (MPa) break (%) Tg(°C) EPX1-c 95 ± 10 2496 ± 150 9 ± 2 91 EPX1-b 86 ± 11 2380 ± 100 9 ± 2 EPX1-a 75 ± 6 2020 ± 110 8 ± 2 EPX1 45 ± 8 1580 ± 80 7 ± 3
[0071] A number of implementations have been described. Nevertheless, it will be understood that various modifications may be made without departing from the spirit and scope of the disclosure. For example, various forms of the materials shown above may be used, with steps re-ordered, added, or removed. Accordingly, other implementations are within the scope of the following claims.
[0072] The examples presented herein are intended to illustrate potential and specific implementations of the present disclosure. The examples are intended primarily for purposes of illustration of the invention for those skilled in the art. No particular aspect or aspects of the examples are necessarily intended to limit the scope of the present invention.
[0073] The figures and descriptions of the present invention have been simplified to illustrate elements that are relevant for a clear understanding of the present invention, while eliminating, for purposes of clarity, other elements. Those of ordinary skill in the art may recognize, however, that these sorts of focused discussions would not facilitate a better understanding of the present disclosure, and therefore, a more detailed description of such elements is not provided herein.
[0074] Unless otherwise indicated, all numbers expressing lengths, widths, depths, or other dimensions and so forth used in the specification and claims are to be understood in all instances as indicating both the exact values as shown and as being modified by the term “about.” As used herein, the term “about” refers to a ±10% variation from the nominal value. Accordingly, unless indicated to the contrary, the numerical parameters set forth in the specification and attached claims are approximations that may vary depending upon the desired properties sought to be obtained. At the very least, and not as an attempt to limit the application of the doctrine of equivalents to the scope of the claims, each numerical parameter should at least be construed in light of the number of reported significant digits and by applying ordinary rounding techniques. Any specific value may vary by 20%.
[0075] A number of embodiments of the invention have been described. Nevertheless, it is to be understood that the foregoing description is intended to illustrate and not to limit the scope of the invention, which is defined by the scope of the following claims. Accordingly, other embodiments are also within the scope of the following claims. For example, various modifications may be made without departing from the scope of the invention. Additionally, some of the steps described above may be order independent, and thus can be performed in an order different from that described.