Not applicable
The present invention generally relates to waveguides and more particularly to waveguide feed networks.
Waveguide feed networks that can transmit left hand and right hand circularly polarized signals through circular waveguides and also can receive left hand and right hand circularly polarized signals from circular waveguides may require two transmit ports and two receive ports with good isolation between the ports. The waveguide feed networks may require filtering to provide the required isolation between the ports. Transmitter circuits may be coupled to transmit ports and receiver circuits may be coupled to the receive ports for transmitting and receiving the signals.
The waveguide feed network may be coupled to circular waveguides to implement a transformation from a linearly polarized signal at a transmit port to one of the left hand circularly polarized signal or right hand circularly polarized signal at the circular waveguide. Alternatively, the waveguide feed network may implement a transformation from one of the left hand circularly polarized signal or right hand circularly polarized signal at the circular waveguide to a linearly polarized signal at a receive port. This can make the design of an integrated waveguide feed network for transmitting and receiving signals with both left hand circular polarization and right hand circular polarization very complex.
In view of the foregoing, low complexity compact waveguide feed networks are required.
According to various aspects of the subject technology, a transmitter unit of a feed network for transmitting circularly polarized signals is described. In some embodiments, the transmitter unit includes a first branch having a first input port and a second branch having a second input port. The transmitter unit includes an integrated branch line coupler that couples the first branch and the second branch. The integrated branch line coupler includes a first waveguide reject filter in the first branch. The first waveguide reject filter includes a first end and a second end as well as an outer face and an inner face. The first end of the first waveguide reject filter is coupled to the first input port. The integrated branch line coupler includes a second waveguide reject filter in the second branch. The second waveguide reject filter includes a first end and a second end as well as an outer face and an inner face. The first end of the second waveguide reject filter is coupled to the second input port. The integrated branch line coupler further includes one or more couplers coupled between the inner face of the first waveguide reject filter and the inner face of the second reject filter. The first waveguide reject filter also includes a first group of one or more single-sided stubs protruding outwardly from the outer face of the first waveguide reject filter. The second waveguide reject filter includes a second group of one or more single-sided stubs protruding outwardly from the outer face of the second waveguide reject filter. The transmitter unit further includes a core waveguide that is coupled to the first branch via the second end of the first waveguide reject filer and to the second branch via the second end of the first waveguide reject filer. The transmitter unit receives a linearly polarized signal from one of the first input port or the second input port and generates a circularly polarized signal in the core waveguide.
According to various aspects of the subject technology, a receiver unit of a feed network for receiving circularly polarized signals is described. In some embodiments, the receiver unit includes a first branch having a first output port and a second branch having a second output port. The receiver unit includes an integrated branch line coupler that couples the first branch and the second branch. The integrated branch line coupler includes a first waveguide reject filter in the first branch. The first waveguide reject filter includes a first end and a second end as well as an outer face and an inner face. The first end of the first waveguide reject filter is coupled to a circular waveguide and the second end of the first waveguide reject filter is coupled to the first output port. The integrated branch line coupler includes a second waveguide reject filter in the second branch. The second waveguide reject filter includes a first end and a second end as well as an outer face and an inner face. The first end of the second waveguide reject filter is coupled to the circular waveguide and the second end of the second waveguide reject filter is coupled to the second output port. The integrated branch line coupler includes one or more couplers coupled between the inner face of the first waveguide reject filter and the inner face of the second waveguide reject filter. The integrated branch line coupler receives a circularly polarized signal via the first ends of the first and second waveguide reject filters from the circular waveguide. The integrated branch line coupler generates, based on the received circularly polarized signal, a linearly polarized signal at one of the first output port or the second output port.
According to various aspects of the subject technology, a method of operating a transmitter unit of a feed network for transmitting circularly polarized signals is described. The transmitter unit includes a first branch and a second branch. In some embodiments, the method includes receiving a first linearly polarized signal from an input port of the first branch and transmitting a portion of the first linearly polarized signal via a first waveguide reject filter of the first branch to a circular waveguide. The method includes generating a second linearly polarized signal by providing a quarter wavelength phase shift to a remaining portion of the first linearly polarized signal. The quarter wavelength phase shift is provided via a transmission of the remaining portion of the first linearly polarized signal to the second branch through a branch line coupler. The branch line coupler is coupled between the first waveguide reject filter and a second waveguide reject filter of the second branch. The method further includes transmitting the second linearly polarized signal via the second waveguide reject filter to the circular waveguide. The method also includes combining the portion of the first linearly polarized signal and the second linearly polarized signal. The combination occurs in the circular waveguide generates one of a right hand or a left hand circularly polarized signal in the circular waveguide.
The foregoing has outlined rather broadly the features of the present disclosure in order that the detailed description that follows can be better understood. Additional features and advantages of the disclosure will be described hereinafter, which form the subject of the claims.
For a more complete understanding of the present disclosure, and the advantages thereof, reference is now made to the following descriptions to be taken in conjunction with the accompanying drawings describing specific aspects of the disclosure, wherein:
The detailed description set forth below is intended as a description of various configurations of the subject technology and is not intended to represent the only configurations in which the subject technology can be practiced. The appended drawings are incorporated herein and constitute a part of the detailed description. The detailed description includes specific details for the purpose of providing a thorough understanding of the subject technology. However, it will be clear and apparent to those skilled in the art that the subject technology is not limited to the specific details set forth herein and can be practiced using one or more implementations. In one or more instances, well-known structures and components are shown in block diagram form in order to avoid obscuring the concepts of the subject technology.
The present disclosure is directed, in part, to a feed network with dual circular polarization for satellite communications. A satellite may include a satellite receiver coupled to a satellite antenna system for receiving uplink signals, and may also include a satellite transmitter coupled to the satellite antenna system for transmitting downlink signals. The feed network may be coupled between elements of the satellite antenna system and the satellite receiver and also may be couple between the elements of the satellite antenna system and the satellite transmitter. The feed network that couples the satellite transmitter to the satellite antenna system may transform a linearly polarized signal received from the satellite transmitter into one of a right hand or a left hand circularly polarized signals for the satellite antenna system to be transmitted. Also, the feed network that couples the satellite receiver to the satellite antenna system may transform a received right hand or left hand circularly polarized signal from the satellite antenna system into a linearly polarized signal for the receiver. By providing circularly polarized signals for communication to and from the satellite, the communications may not be sensitive to an orientation of transceiver devices that communicates with the satellite.
The feed network includes a receiver unit and a transmitter unit. The transmitter unit may include two branches and two input ports, a first input port on a first end of a first branch and a second input port on a first end of a second branch. The input ports may also be coupled to circuitry for receiving input signals that can be linearly polarized signals. The transmitter unit can be coupled to a core waveguide, e.g., a circular waveguide, via the second end of the two branches that can include evanescent waveguides and may provide a circularly polarized signal based on the received signals at the input ports. The transmitter unit may provide a left hand circularly polarized signal at the core waveguide when the input signal is received from the first input port and may provide a right hand circularly polarized signal at the core waveguide when the input signal is received from the second input port. The transmitter unit may include an integrated branch line coupler between the two branches for generating the left hand and right hand circularly polarized signals. The integrated branch line coupler may have one or more branches between the first and second branches to form a branch line coupler. The integrated branch line coupler may include waveguide filters performing as waveguide reject filters that are integrated into the first and second branches. The waveguide reject filters may be used for isolating the input ports from undesired signals in the core waveguide. The waveguide reject filters of the integrated branch line coupler may include single-sided stubs that may be used for further tuning the waveguide reject filters.
Additionally, the receiver unit may include two branches and two output ports, a first output port at a first end of a first branch and a second output port at a first end of a second branch. The receiver unit can be coupled to a core waveguide, e.g., a circular waveguide, via the second end of the two branches to receive a left hand or right hand circularly polarized signal. The receiver unit may receive a left hand circularly polarized signal from the core waveguide and may provide a linearly polarized signal at a first output port. Alternatively, the receiver unit may receive a right hand circularly polarized signal from the core waveguide and may provide a linearly polarized signal at a second output port. The receiver unit may include an integrated branch line coupler coupled between the two branches for creating linearly polarized signals from the left hand and right hand circularly polarized signals. Waveguide reject filters may be integrated into each one of the branches of the integrated branch line coupler for isolating the output ports from undesired signals in the core waveguide. The subject technology includes a number of advantageous features. For example, the disclosed system provides a compact and low complexity feed network by the couplers and the rejection filters at the two sides of each branch and also by arranging the transmitter unit and receiver unit on a same core waveguide.
Additionally, receive section 102 of waveguide feed network 100 includes third lower portion 122 and fourth upper portion 124. Second upper portion 120, fourth upper portion 124, first lower portion 116, and third lower portion 122 may together include a receive unit that is described in more details with respect to
Additionally, transmit section 106 of
In some embodiments, the transmitter unit, shown in
In some embodiments, the receiver unit, shown in
Body section 104 also includes first upper portion 118 that includes a plurality of openings with length 206 that make a first segment of a plurality of rectangular waveguides that are described in more details with respect to
Transmitter unit 300 shows two branches 310A and 310B that are coupled to core waveguide 202. Each one of branch 310A or 310B includes waveguide reject filter 312A or 312B that includes one or more stubs, e.g., three stubs. As an example,
In some examples, the C band is used for receiving and transmitting signals and allowed frequency ranges and stop (e.g., suppressed) frequency ranges of the transmitter unit are predefined. In some examples, a transmitting frequency band includes frequencies 4.120 GHz to 4.20 GHz that may pass from input ports 132 or 134 to core waveguide 202. The receiving frequency band includes frequencies 6.345 GHz to 6.425 GHz that are suppressed, e.g., by more than 55 dB, from reaching input ports 132 or 134 from the core waveguide. Thus, an isolation of better than 55 dB may be achieved for input ports 132 and 132 from undesired signals in the core waveguide that are in the receiving frequency band.
As shown, a free end of stubs 302A, 302B, 302C, 302D, 302E, and 302F may be short-circuited. Then an input impedance of a short-circuited stub is purely reactive; either capacitive or inductive, depending on the electrical length and width of the stubs and a wavelength of signal passing through waveguide reject filters 312A or 312B. Stubs may thus function as capacitors and inductors in waveguide reject filters 312A or 312B and may be used to tune a bandwidth of waveguide reject filters 312A or 312B. As shown in
Additionally, transmitter unit 300 shows two evanescent waveguides 304A and 304B that are coupled between branches 310A and 310B and core waveguide 202. In some examples, a size of evanescent waveguides 304A and 304B are adjusted such an insertion loss between core waveguide 202 and the waveguide reject filters 312A and 312B of branches 310A and 310B are less than a predetermined level, e.g., less than 0.05 dB, in each branch. In some embodiments, evanescent waveguides 304A and 304B of first and second branches 310B and 310A of transmitter unit 300 have predetermined angles, e.g., 45 degrees, when coupled to the core waveguide. The 45-degree turns of evanescent waveguides 304A and 304B may cause a supposed continuation of branches 310A and 310B to intersect each other at a center of core waveguide 202 with an angle A equal to 90 degrees. Thus, the ends of the branches 310A and 310B coupled to the core waveguide 202 may become perpendicular to each other. Additionally, the 45-degree turn may allow integrated branch line coupler 316 to stay close to core waveguide 502, reducing a size and mass of transmitter unit 300 to make it compact.
In addition, transmitter unit 300 shows transformers 306A, 306B, 306C, and 306D on branches 310A and 310B. The transformers have dimensions that are determined based on a frequency range of the transmitted signals that may be input at input ports 132 and 134 and to minimize an insertion loss of the transmitter unit. In some embodiments, the one or more transformers of each branch 310A or 310B are quarter wave transformers that are configured to provide a change of wavelength for matching. By using transformers 306A, 306B, 306C, and 306D, to change the wavelength, branches 310A or 310B may match to a transmitter circuit that can be coupled to input ports 132 and 134. In some examples, quarter wave transformer WR229 may be used.
In some examples, waveguide reject filters 312A and 312B of branches 310A and 310B of transmitter unit 300 are low pass filters. Waveguide reject filters 312A and 312B may transmit received input signals at a first frequency, e.g., in a range between 4.120 GHz and 4.20 GHz, from input ports 132 and 134 to core waveguide 202. The waveguide reject filters may reject a second signal at a second frequency greater than the first frequency, e.g., in a range between 6.345 GHz and 6.425 GHz. Thus, waveguide reject filters 312A and 312B may prevent a received second signal in the second frequency from core waveguide 202 to reach input ports 132 and 134.
Transmitter unit 300 shows integrated branch line coupler 316 that includes couplers 314A, 314B, and 314C that inwardly couple branches 310A and 310B. Integrated branch line coupler 316 also includes waveguide reject filters 312A and 312B that are described above. A number, size, and location of couplers 314A, 314B, and 314C may be selected to create left hand circular polarization as well as right hand circular polarization signals in core waveguide 202. The circular polarization signals are created based on the linearly polarized signals that are received from input ports 132 and 134 of branches 310A and 310B. In some examples, waveguide reject filters 312A or 312B have an inner face and an outer face. In some examples, couplers 314A, 314B, and 314C are coupled between the inner face of waveguide reject filters 312A or 312B. In some embodiments, integrated branch line coupler 316 provides splitting a power by 3 dB and a 90 degrees phase shift to generate a circular polarization mode from a linear polarization mode. In some examples, width 322 of couplers 314A, 314B, and 314C can provide the 90 degrees phase shift. Waveguide reject filters 312A or 312B of integrated branch line coupler 316 may isolate an unwanted circular polarization mode to get to input ports 132 or 134.
In some examples, integrated branch line coupler 316 may also provide a predetermined axial ratio, e.g., 0.40 dB axial ratio, over a bandwidth of up to 9 percent, between the left hand and right hand circularly polarized signals. In some embodiments, a distance between couplers 314A, 314B, and 314C, depends on diameter D1 of core waveguide 202. In some examples, couplers 314A, 314B, and 314C are e-plane couplers and a height of the couplers may determine an amount of energy that may be transferred between the branches. As an example, height 318 of coupler 314B determines an amount of energy that may be transferred between the branches 310A and 310B. Integrated branch line coupler 316 is described with respect to
Additionally, in some examples, stubs 302A, 302B, 302C, 302D, 302E, and 302F are coupled to and extended from the outer face of waveguide reject filters 312A or 312B. In some embodiments, the one or more single-sided stubs 302A, 302B, 302C, 302D, 302E, and 302F of waveguide reject filters 312A and 312B correspond to one or more cascaded filter sections. In some embodiments as shown in
In some embodiments, integrated branch line coupler 316 generates, at core waveguide 202, one or both of a right hand circularly polarized signal and a left hand circularly polarized signal from a linearly polarized signal. In some embodiments, transmitter unit 300 receives an input signal at a first frequency from input port 132 of first branch 310B and generates a right hand circularly polarized signal at the first frequency in core waveguide 202. In some embodiments, transmitter unit 300 receives an input signal at a first frequency from input port 134 of second branch 310A and generates a left hand circularly polarized signal at the first frequency in the core waveguide.
Receive section 102 also includes fourth upper portion 124 that includes a plurality of openings with length 506 that make a first segment of a plurality of rectangular waveguides that are described in more details with respect to
In some examples, circularly polarized signals are received through core waveguide 502 via branches 610A and 610B that are coupled to core waveguide 502. The received signals pass through filters 612A and 612B as well as couplers 614A, 614B, and 614C, and generate a linearly polarized signal. The linearly polarized signal may be generated at one of output ports 136 or 138 depending on the signal being right hand circularly polarized or left hand circularly polarized, respectively. In some examples, an isolation of better than 25 dB is provided between output ports 136 and 138. In some examples, waveguide reject filters 612A and 612B allows a signal being in frequency 6.345 GHz to 6.425 GHz to pass, e.g., from core waveguide 502 to one of output ports 136 and 138. In some examples, waveguide reject filters 612A and 612B suppresses a signal being in frequency range 4.12 GHz to 4.2 GHz to pass, e.g., from core waveguide 502 to any of output ports 136 and 138, and provides at least 55 dB isolation.
Receiver unit 600 includes two branches 610A and 610B that are coupled to core waveguide 502. Each one of branch 610A or 610B includes waveguide reject filters 612A or 612B. Waveguide reject filters 612A and 612B may have dimensions that are determined based on a frequency of the transmitted signals, and may act as transmit reject filters. Waveguide filters 612A and 612B may also be called waveguide reject filters 612A and 612B that suppress rectangular mode TE10 in the frequency range of 4.120 GHz and 4.20 GHz. Thus, waveguide reject filters 612A and 612B may perform a filtering, e.g., high pass filtering, to suppress the transmitter signals and further prevent the transmitter signals from reaching output ports 136 or 138 of the receiver unit.
Receiver unit 600 shows integrated branch line coupler 616 that includes couplers 614A, 614B, and 614C that inwardly couples branches 610A and 610B. Integrated branch line coupler 616 also includes waveguide reject filters 612A or 612B that are described above. A number, size, and location of the couplers 614A, 614B, and 614C may be selected to transform left hand circular polarization as well as right hand circular polarization signals at core waveguide 502 to linearly polarized signals at output ports 136 and 138 of branches 610A and 610B. In some examples, a distance between couplers 614A, 614B, and 614C, depends on diameter D2 of core waveguide 502. In some examples, couplers 614A, 614B, and 614C are e-plane couplers.
In some embodiments, the waveguide filters, e.g., waveguide reject filters 612A or 612B have an inner face and an outer face. In some examples, integrated branch line coupler 616 comprises couplers 614A, 614B, and 614C that are coupled between the inner face of the waveguide reject filters 612A or 612B. As described, integrated branch line coupler 616 may divide power and generate phase shift to create linearly polarized signals from circularly polarized signals. In some embodiments, couplers 614A, 614B, and 614C of integrated branch line coupler 616 generates a linearly polarized signal at a first frequency from a circularly polarized signal at the first frequency. In some embodiments, the integrated branch line coupler provides, splitting a power by 3 dB, causing 90 degrees phase shift to generate a linear polarization from a circular polarization mode, and isolating a signal to get to the other port.
In addition, receiver unit 600 shows transformers 606A, 606B, 606C, and 606D on branches 610A and 610B. The transformers have dimensions that are determined based on a frequency of the received signals from the core waveguide and to minimize an insertion loss of the receiver unit at output ports 136 and 138. In some embodiments, the one or more transformers of each branch 610A or 610B are quarter wave transformers that are configured to provide a change of wavelength for matching. By using transformers 606A, 606B, 606C, and 606D, to change wavelength, branches 610A or 610B may match to a receiver circuit that can be coupled to output ports 136 and 138. In some examples, quarter wave transformer WR137 may be used.
In some examples, the circularly polarized signal is received from core waveguide 502 and the linearly polarized signal is generated at an output of waveguide reject filters 612A and 612B that is coupled to a transformer. In some examples, receiver unit 600 receives a right hand circularly polarized signal at a first frequency from core waveguide 502 and generates an output signal at the first frequency at output port 136 of second branch 610B. In some examples, receiver unit 600 receives a left hand circularly polarized signal at a first frequency from core waveguide 502 and generates an output signal at the first frequency at output port 138 of first branch 610A. In some embodiments, branches 610A or 610B have a 45-degree turn, e.g., bend, at an end that attaches to core waveguide 502. The 45-degree turn may allow integrated branch line coupler 616 to stay close to core waveguide 502, reducing a size and mass of receiver unit 600 and creating a compact receiver unit. In some examples, placing integrated branch line coupler 616 close to core waveguide 502 may allow more effective impedance matching between core waveguide 502 and receiver unit 600.
In some embodiments, dimensions of waveguide feed network 100 depends on a frequency of operation of waveguide feed network 100. In some embodiments, transmitting and receiving frequencies are selected in C band. In some examples, a transmitting frequency is in a range F1=4.12 GHz to F2=4.2 GHz and a receiving frequency is in a range F3=6.345 GHz to F4=6.425 GHz. In some embodiments, D1 is selected in a first range between 1.70 inches and 1.73 inches, e.g., D1 is selected at 1.72 inches. By selecting D1 in the first range, the cutoff frequency for TE21 mode in core waveguide 202 stays between 6.64 GHz and 6.76 GHz. Thus, the higher frequency F4 is sufficiently, e.g., by at least 1 percent below the lower cutoff frequency. Thus, TE21 mode may not propagate in the core waveguide 202 of waveguide feed network 100 in the transmitting frequency range of F1 to F2 or receiving frequency range of F3 to F4. D2 being smaller than D1, TE21 mode may not also propagate in the core waveguide 502 in the transmitting frequency range of F1 to F2 or receiving frequency range of F3 to F4.
The cutoff frequency for TE11 mode in core waveguide 202, having diameter D in the first range, may be between 4.0 GHz and 4.07 GHz. Thus, the transmitting frequencies in the transmitting frequency range of F1=4.12 GHz to F2=4.2 GHz may propagate from the transmitter unit 300 via TE11 mode in the core waveguide 202. The lower frequency F1 is at least above the higher cutoff frequency of 4.07 GHz by more than 1 percent. In some examples, L1 is selected between 1.44 inches and 1.835 inches, e.g., 1.806 inches, such that no TE20 or TE30 modes can propagate in rectangular waveguides of waveguide reject filters 312A and 312B. By selecting L1 between 1.44 inches and 1.835 inches, TE10 mode is sufficiently out of a cutoff frequency in the rectangular waveguides of transmitter unit 300 and thus may propagate through transmitter unit 300 to core waveguide 202. In some examples, D2 is selected between 1.2 inches and 1.54 inches, e.g., 1.354 inches, such that in core waveguides 710 and 502 the TE11 mode is sufficiently in cutoff for F2 and clearly for F1. D2 is selected such that F3 and clearly F4 are sufficiently out of cutoff for TE11 mode in core waveguides 710 and 502. In some examples, L3 is selected longer than 1.55 inches, e.g., 1.598 inches, such that a greater that 40 dB suppression may be obtained for TM01 mode in the core waveguide between the transmitter unit and receiver unit.
In some embodiments and referring back to
In some embodiments and returning back to
As show in
At step 1004, a portion of the first linearly polarized signal is transmitted via a first waveguide reject filter to a circular waveguide. In some examples, a first half of the first linearly polarized signal is transmitted to the circular waveguide. In some embodiments, the portion of the first linearly polarized signal is transmitted through first waveguide reject filter 312B of first branch 310B to core waveguide 202 that may be a circular waveguide. In some examples, first waveguide reject filter 312B is part of integrated branch line coupler 316 that is located in first branch 310B. In some embodiments, as shown in
At step 1006, a second linearly polarized signal is generated by providing a quarter wavelength phase shift to a remaining portion of the first linearly polarized signal. In some embodiments, the a quarter wavelength phase shift is provided by a transmission of the remaining portion of the first linearly polarized signal to second branch 310A through couplers 314A, 314B, and 314C of integrated branch line coupler 316. Couplers 314A, 314B, and 314C are inwardly coupled between first waveguide reject filter 312B and second waveguide reject filter 312A. In some examples, a second half of the first linearly polarized signal that is transmitted to second waveguide reject filter 312A receives 90 degrees phase shift.
At step 1008, the second linearly polarized signal is transmitted via a second waveguide reject filter to a circular waveguide. In some examples, the second linearly polarized signal is generated from the second half of the first linearly polarized signal. The second half of the first linearly polarized signal is transmitted through couplers 314A, 314B, and 314C of integrated branch line coupler 316 and receives 90 degrees phase shift. In some embodiments, as shown in
At step 1010, the portion of the first linearly polarized signal and the second linearly polarized signal are combined to generate a circularly polarized signal in the circular waveguide. As shown in
The description of the subject technology is provided to enable any person skilled in the art to practice the various aspects described herein. While the subject technology has been particularly described with reference to the various figures and aspects, it should be understood that these are for illustration purposes only and should not be taken as limiting the scope of the subject technology.
A reference to an element in the singular is not intended to mean “one and only one” unless specifically stated, but rather “one or more.” The term “some” refers to one or more. Underlined and/or italicized headings and subheadings are used for convenience only, do not limit the subject technology, and are not referred to in connection with the interpretation of the description of the subject technology. All structural and functional equivalents to the elements of the various aspects described throughout this disclosure that are known or later come to be known to those of ordinary skill in the art are expressly incorporated herein by reference and intended to be encompassed by the subject technology. Moreover, nothing disclosed herein is intended to be dedicated to the public regardless of whether such disclosure is explicitly recited in the above description.
Although the invention has been described with reference to the disclosed aspects, one having ordinary skill in the art will readily appreciate that these aspects are only illustrative of the invention. It should be understood that various modifications can be made without departing from the spirit of the invention. The particular aspects disclosed above are illustrative only, as the present invention may be modified and practiced in different but equivalent manners apparent to those skilled in the art having the benefit of the teachings herein. Furthermore, no limitations are intended to the details of construction or design herein shown, other than as described in the claims below. It is therefore evident that the particular illustrative aspects disclosed above may be altered, combined, or modified and all such variations are considered within the scope and spirit of the present invention. While compositions and methods are described in terms of “comprising,” “containing,” or “including” various components or steps, the compositions and methods can also “consist essentially of” or “consist of” the various components and operations. All numbers and ranges disclosed above can vary by some amount. Whenever a numerical range with a lower limit and an upper limit is disclosed, any number and any subrange falling within the broader range are specifically disclosed. Also, the terms in the claims have their plain, ordinary meaning unless otherwise explicitly and clearly defined by the patentee. If there is any conflict in the usages of a word or term in this specification and one or more patent or other documents that may be incorporated herein by reference, the definitions that are consistent with this specification should be adopted.
This application claims the benefit of priority under 35 U.S.C. § 119 from U.S. Provisional Patent Application 62/460,042 filed Feb. 16, 2017, which is incorporated herein by reference in its entirety.
Number | Date | Country | |
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62460042 | Feb 2017 | US |