The present disclosure relates to coaxial cables.
Data production and transmission is a common part of society. Coaxial cables are one of many common conduits for transmission of data. Coaxial cables are typically designed so that an electromagnetic field carrying communications signals exists only in the space between inner and outer coaxial conductors of the cables. The location of the electromagnetic field carrying communication signals may allow coaxial cable runs to be installed next to metal objects without the power losses that occur in other transmission lines, and may provide protection of the communication signals from external electromagnetic interference. Connectors for coaxial cables may be typically connected onto complementary interface ports to electrically integrate coaxial cables to various electronic devices and cable communication equipment. When running coaxial cables between equipment, such as between servers, the coaxial cables may bend, twist, or form other angles that may affect the electromagnetic field carrying communication signals.
The subject matter claimed herein is not limited to embodiments that solve any disadvantages or that operate only in environments such as those described above. Rather, this background is only provided to illustrate one example technology area where some embodiments described herein may be practiced.
According to an aspect of an embodiment, a coaxial cable is disclosed that may include an inner conductor and an outer conductor surrounding the inner conductor in a coaxial relationship. The coaxial cable may also include an insulative material located between the inner conductor and the outer conductor. A thickness of the insulative material between the inner conductor and the outer conductor may be increased in every direction at a bent portion of the coaxial cable as compared to the thickness of the insulative material between the inner conductor and the outer conductor at a non-bent portion of the coaxial cable.
The object and advantages of the embodiments will be realized and achieved at least by the elements, features, and combinations particularly pointed out in the claims.
It is to be understood that both the foregoing general description and the following detailed description are exemplary and explanatory and are not restrictive of the present disclosure, as claimed.
Example embodiments will be described and explained with additional specificity and detail through the use of the accompanying drawings in which:
Some embodiments described herein relate to coaxial cables and to the characteristics of coaxial cables in a bent portion of the coaxial cable. One of the characteristics of the coaxial cables may include a thickness of insulative material between an inner and outer conductor being greater at the bent portion of the coaxial cable than at a non-bent portion of the coaxial cable. Another characteristic of the coaxial cables may include that a thickness of the inner conductor may be reduced at the bent portion of the coaxial cable as compared to the non-bent portion of the coaxial cable.
In some embodiments, the characteristics of the coaxial cables at the bent portion of the coaxial cable may reduce one or more of impedance discontinuity, attenuation, resonance, reflection, and unwanted electromagnetic modes that may result because of the bent portion of the coaxial cable.
Embodiments of the present disclosure will be explained with reference to the accompanying drawings.
The insulative material 120 may include a dielectric material. For example, the insulative material 120 may include one or more of a polymide, a carbon disulfide, a polystyrene, polytetrafluoroethylene, polyethylene, among other types of dielectric or insulative materials. The inner conductor 110 and the outer conductor 130 may include one or more conductive materials. For example, the inner conductor 110 and the outer conductor 130 may include gold, copper, silver, carbon, or some other conductive material or combination of conductive material.
The coaxial cable 100 may also include first and second non-bent portions 102a and 102b (referred to herein as the non-bent portions 102) and a bent portion 104. The bent portion 104 of the coaxial cable 100 may result when an angle other than 0 or 180 degrees is formed between the first and second non-bent portions 102a and 102b of the coaxial cable 100.
As illustrated in
Alternately or additionally, the bent portion 104 of the coaxial cable 100 may have a first cross-sectional shape and the non-bent portions 102 of the coaxial cable 100 may have a second cross-sectional shape. For example, the bent portion 104 may have an elliptical cross-sectional shape and the non-bent portions 102 may have a square or circular cross-sectional shape. In some embodiments, the first non-bent portion 102a may have a different cross-sectional shape than the second non-bent portion 102b.
As illustrated, the inner corner 150 of the bent portion 104 may be defined by a 90 degree angle between the first and second non-bent portions 102a and 102b. In these and other embodiments, the bent portion 104 of the coaxial cable 100 may be distinguished from the non-bent portions 102 by first and second planes 140 and 142. The first and second planes 140 and 142 may be planes in which the first outer surface 160 of the outer conductor 130 resides.
In some embodiments, the non-bent portions 102 of the coaxial cable 100 may have a generally consistent cross-sectional shape and size. In these and other embodiments, the bent portion 104 of the coaxial cable 100 may be defined as the portion of the coaxial cable 100 that has a cross sectional shape or size different than the non-bent portions 102 of the coaxial cable due to the bend in the coaxial cable 100. In contrast, other coaxial cables may have bends, such as sweeping bends that traverse a gradual arc. In coaxial cables with sweeping bends, the cross-sectional shape and size of a bent portion may be similar to or the same as the cross sectional shape of non-bent portions. Because the bent portion 104 has a cross sectional shape different than the non-bent portions 102, in this and other embodiments, the bent portion 104 may be referred to as a non-sweeping bend.
In some embodiments, the bent portion 104 may have a cross sectional shape and/or size different than the non-bent portions 102 of the coaxial cable 100 due to the bent portion 104 being a non-sweeping bend. Alternately or additionally, the bent portion 104 may have a cross sectional shape and/or size different than a cross sectional shape and/or size of the non-bent portions 102 of the coaxial cable 100 due to an increased thickness of the insulative material 120 at the bent portion 104 that is more than an increase of thickness to accommodate a non-sweeping bend.
The thickness of the insulative material 120 may be defined by a distance between an inner surface of the outer conductor 130 and an outer surface of the inner conductor 110.
In these and other embodiments, the first outer surface 112 and the first inner surface 132 may be corresponding surfaces. Likewise, the second outer surface 114 may correspond with the second inner surface 134, the third outer surface 116 may correspond with the third inner surface 136, and the fourth outer surface 118 may correspond with the fourth inner surface 138. In these and other embodiments, surfaces may correspond based on the surfaces being in substantially parallel planes and a distance between the surfaces being minimal. For example, the first and second outer surfaces 112 and 114 are in substantially parallel planes with the first inner surface 132. However, the first inner surface 132 corresponds with the first outer surface 112 and not with the second outer surface 114 because a distance between the first inner surface 132 and the first outer surface 112 is smaller than the distance between the first inner surface 132 and the second outer surface 114.
Referring now to
The third and fourth inner surfaces 136 and 138 may each be located substantially in a single plane even with the bend of the coaxial cable 100. The planes of the third and fourth inner surfaces 136 and 138 may also be substantially perpendicular to the first and second planes 140 and 142. In a similar manner, the third and fourth outer surfaces 116 and 118 may each be located substantially in a single plane. The planes of the third and fourth outer surfaces 116 and 118 may also be substantially perpendicular to the first and second planes 140 and 142.
A thickness of the insulative material 120, as indicated previously, may depend on a distance between the outer conductor 130 and the inner conductor 110. For example, a first non-bent thickness 122a of the insulative material 120 may be based on a distance between the first inner surface 132 and the first outer surface 112. Alternately or additionally, a second non-bent thickness 122b of the insulative material 120 may be based on a distance between the second inner surface 134 and the second outer surface 114; a third non-bent thickness 122c of the insulative material 120 may be based on a distance between the third inner surface 136 and the third outer surface 116; and a fourth non-bent thickness 122d of the insulative material 120 may be based on a distance between the fourth inner surface 138 and the fourth outer surface 118. The first non-bent thickness 122a, the second non-bent thickness 122b, the third non-bent thickness 122c, and the fourth non-bent thickness 122d may be referred here collectively as the non-bent thicknesses 122.
Because the thickness of the insulative material 120 depends on a distance between the outer conductor 130 and the inner conductor 110, when the distances between the outer conductor 130 and the inner conductor 110 vary, the thickness of the insulative material 120 may also vary. The distances between the outer conductor 130 and the inner conductor 110 may vary based on a configuration of the coaxial cable 100, such as a cross-section of the coaxial cable 100 and a bend in the coaxial cable 100.
For example, the coaxial cable 100 as illustrated includes a square cross section in the non-bent portions 102. As a result, the distances between the outer conductor 130 and the inner conductor 110 may be substantially the same or the same in the non-bent portions 102. Thus, the non-bent thicknesses 122 may be substantially the same or the same.
In the coaxial cable 100, the thickness of the insulative material 120 in the bent portion 104 may be different than the thickness of the insulative material in the non-bent portions 102. The thickness of the insulative material in the bent portion 104 is illustrated in
The bent portion 104 includes a first bent thickness 124a of the insulative material 120 that may be based on a distance between the first inner surface 132 and the first outer surface 112. The bent portion 104 further includes a second bent thickness 124b of the insulative material 120 that may be based on a distance between the second inner surface 134 and the second outer surface 114; a third bent thickness 124c of the insulative material 120 that may be based on distance between the third inner surface 136 and the third outer surface 116; and a fourth bent thickness 124d of the insulative material 120 that may be based on distance between the fourth inner surface 138 and the fourth outer surface 118. The first bent thickness 124a, the second bent thickness 124b, the third bent thickness 124c, and the fourth bent thickness 124d may be referred here collectively as the bent thicknesses 124.
In these and other embodiments, the first bent thickness 124a may correspond to the first non-bent thickness 122a, the second bent thickness 124b may correspond to the second non-bent thickness 122b, the third bent thickness 124c may correspond to the third non-bent thickness 122c, and the fourth bent thickness 124d may correspond to the fourth non-bent thickness 122d. The bent thicknesses 124 may correspond with the non-bent thicknesses 122 based on the thicknesses being determined in the same or approximately the same location along the circumference of the coaxial cable 100.
In some embodiments, at some point in the bent portion 104, each of the bent thicknesses 124 may be greater than their corresponding non-bent thicknesses 122. In some embodiments, at some point in the bent portion 104, each of the bent thicknesses 124 may be greater than the greatest non-bent thicknesses 122. Alternately or additionally, throughout the bent portion 104, each of the bent thicknesses 124 may be greater than their corresponding non-bent thicknesses 122 or greater than the greatest non-bent thicknesses 122.
In some embodiments, each of the bent thicknesses 124 may be the same or substantially the same. Alternately or additionally, each of the bent thicknesses 124 may be different or a subset of the bent thicknesses 124 may be the same and different from other of the bent thicknesses 124. For example, as illustrated in
In some embodiments, the bent thicknesses 124 of the insulative material 120 being greater than the non-bent thicknesses 122 of the insulative material 120 may reduce an impedance difference in the inner conductor 110 between the bent portion 104 and the non-bent portions 102. For example, the inner conductor 110 in the non-bent portions 102 may have a first impedance. In the bent portion 104, without the bent thicknesses 124 being greater than the non-bent thicknesses 122, the inner conductor 110 may have a second impedance that is lower than the first impedance due to the non-sweeping bend of the coaxial cable. To reduce the difference between the first and second impedances, the bent thicknesses 124 of the insulative material 120 may be increased. Reducing the difference between the first and second impedances may reduce attenuation, resonance, reflection, and unwanted electromagnetic modes in signals propagating along the inner conductor 110 through the bent portion 104. Reducing attenuation, resonance, reflection, and unwanted electromagnetic modes in signals propagating along the inner conductor 110 through the bent portion 104 may improve transmission of a signal through the coaxial cable 100 and may enhance high frequency performance of a signal transmitted through the coaxial cable 100.
Modifications, additions, or omissions may be made to the coaxial cable 100 without departing from the scope of the present disclosure. For example, in some embodiments, the cross-section of the coaxial cable 100 may be circular. In these and other embodiments, the surfaces discussed with respect to the coaxial cable 100 may be smaller portions of the surface of the coaxial cable 100 that may be substantially parallel and/or perpendicular to each other. Alternately or additionally, in some embodiments, the thickness of the inner conductor 110 in the bent portion 104 of the coaxial cable may be reduced. In these and other embodiments, reducing the thickness of the inner conductor 110 may result in an increase of the thickness of the insulative material 120.
The coaxial cable 200 may include first and second non-bent portions 202a and 202b (referred to herein as the non-bent portions 202) and a bent portion 204. The bent portion 204 may be formed due to a non-sweeping bend in the coaxial cable 200. Due to the bent portion 204, an angle may be formed between the first and second non-bent portions 202a and 202b. As illustrated, the angle between the first and second non-bent portions 202a and 202b may be 90 degrees. In other embodiments, the angle between the first and second non-bent portions 202a and 202b may be a different angle.
The bent portion 204 may have larger dimensions, e.g., width, height, depth, than the dimensions of the non-bent portions 202. In some embodiments, the thickness of the inner conductor 210 and the outer conductor 230 in the bent portion 204 may be the same as the thickness of the inner conductor 210 and the outer conductor 230 in the non-bent portions 202. As a result, the thickness of the insulative material 220 in the bent portion 204 may be greater than the thickness of the insulative material 220 in the non-bent portions 202. In some embodiments, the thickness of the inner conductor 210 and the outer conductor 230 may be greater in the bent portion 204 than in the non-bent portions 202. In these and other embodiments, the thickness of the insulative material 220 in the bent portion 204 may also be greater than the thickness of the insulative material 220 in the non-bent portions 202.
Alternately or additionally, the thickness of the inner conductor 210 may be less in the bent portion 204 than in the non-bent portions 202 and the thickness of the outer conductor 230 may be the same or similar in the bent portion 204 as in the non-bent portions 202. In these and other embodiments, the thickness of the insulative material 220 in the bent portion 204 may be greater than the thickness of the insulative material 220 in the non-bent portions 202.
In some embodiments, assuming that the dimensions of the non-bent portions 202 are the same as the dimensions of the non-bent portions 102 of
In some embodiments, the amount of increased thickness of the insulative material 220 at the bent portion 204 and a cross-sectional shape of the bent portion 204 may be determined based on an impedance of the non-bent portion 202 of a coaxial cable. For example, the coaxial cable 200 may have the materials, size, and/or cross-section shape selected for the inner conductor 210, the insulative material 220, and the outer conductor 230 such that the coaxial cable 200 has a particular impedance in the non-bent portions 202. For example, so that the coaxial cable 200 has a particular impedance of 50 ohms in the non-bent portions 202. In these and other embodiments, the thickness of the insulative material 220 and/or a cross-sectional shape of the coaxial cable 200 at the bent portion 204 may be adjusted to reduce an impedance difference between the bent portion 204 and the non-bent portions 202.
Modifications, additions, or omissions may be made to the coaxial cable 200 without departing from the scope of the present disclosure. For example, in some embodiments, the coaxial cable 200 may have a different cross-sectional shape in the non-bent portions 202 or the bent portion 204. Alternately or additionally, the thickness of the insulative material 220 may vary throughout the bent portion 204.
The coaxial cable 400 may also include first and second non-bent portions 402a and 402b (referred to herein as the non-bent portions 402) and a bent portion 404. The bent portion 404 of the coaxial cable 400 may result from a bend in the coaxial cable that results in an inner corner 450 and an outer corner 452. As illustrated, the inner corner 450 of the bent portion 404 may be defined by a 135 degree angle between the first and second non-bent portions 402a and 402b. In these and other embodiments, the bent portion 404 of the coaxial cable 400 may be distinguished from the non-bent portions 402 by first and second planes 406 and 408. The first and second planes 406 and 408 may be planes in which a first outer surface 460 of non-bent portions 402 of the coaxial cable 400 resides.
As illustrated, the bent portion 404 of the coaxial cable 400 may have a varying cross-sectional shape that is different from the cross-sectional shape of the non-bent portions 402 of the coaxial cable 400. As a result of the varying cross-sectional shape of the bent portion 404, a thickness of the insulative material 420 between the inner conductor 410 and the outer conductor 430 in a portion of the bent portion 404 may be greater than a thickness of the insulative material 420 between the inner conductor 410 and the outer conductor 430 in the non-bent portions 402.
In some embodiments, the width of the inner conductor 410 being reduced in the bent portion 404 may reduce an impedance difference in the inner conductor 410 between the bent portion 404 and the non-bent portions 402. For example, the inner conductor 410 in the non-bent portions 402 may have a first impedance. In the bent portion 404 without the reduced width of the inner conductor 410, the inner conductor 410 may have a second impedance that is lower than the first impedance due to the non-sweeping bend of the coaxial cable. To reduce the different between the first and second impedances, the width of the inner conductor 410 may be reduced. Reducing the difference between the first and second impedances may reduce attenuation, resonance, reflection, and unwanted electromagnetic modes in signals propagating along the inner conductor 410 through the bent portion 404. Reducing attenuation, resonance, reflection, and unwanted electromagnetic modes in signals propagating along the inner conductor 410 through the bent portion 404 may improve transmission of a signal through the coaxial cable 400 and may enhance high frequency performance of a signal transmitted through the coaxial cable 400.
In some embodiments, the reduction of the width of the inner conductor 410 at the bent portion 404 and a shape of the inner conductor 410 at the bent portion 404 may be determined based on an impedance of the non-bent portion 402. For example, the coaxial cable 400 may have a particular impedance in the non-bent portions 402. In these and other embodiments, the width of the inner conductor 410 at the bent portion 404 and a shape of the inner conductor 410 at the bent portion 404 may be adjusted to reduce an impedance difference between the bent portion 404 and the non-bent portions 402.
Modifications, additions, or omissions may be made to the coaxial cable 400 without departing from the scope of the present disclosure. For example, in some embodiments, the width of the inner conductor 410 in the entire bent portion 404 may be smaller than the width of the inner conductor 410 in the non-bent portions 402. In some embodiments, the width of the inner conductor 410 in the bent portion 404 may taper or have one or more step downs from the first width 412 to the second width 414.
The coaxial cable 500 may also include first and second non-bent portions 502a and 502b (referred to herein as the non-bent portions 502) and a bent portion 504. The bent portion 504 of the coaxial cable 500 may result from a bend in the coaxial cable that results in an inner corner 550 and an outer corner 552. As illustrated, the inner corner 550 of the bent portion 504 may be defined by a 90 degree angle between the first and second non-bent portions 502a and 502b.
The inner conductor 510 may further include a first inner corner 516 that includes an angle that is different than the angle of the inner corner 550 of the coaxial cable 500. As illustrated in
In some embodiments, the width of the inner conductor 510 being reduced in the bent portion 504 may reduce an impedance difference in the inner conductor 510 between the bent portion 504 and the non-bent portions 502. Modifications, additions, or omissions may be made to the coaxial cable 500 without departing from the scope of the present disclosure.
The method 600 may begin at block 602, where a non-bent impedance of an inner conductor in a non-bent portion of a coaxial cable may be obtained. In block 604, a bent impedance of the inner conductor in a bent portion of the coaxial cable may be obtained. In block 606, the bent impedance and the non-bent impedance may be compared.
In block 608, in response to the comparison, a thickness of an insulative material surrounding the inner conductor at the bent portion of the coaxial cable may be adjusted. In some embodiments, in response to the bent impedance being greater than the non-bent impedance, the adjusting the thickness of the insulative material may include decreasing the thickness of the insulative material. Alternately or additionally, in response to the bent impedance being less than the non-bent impedance, the adjusting the thickness of the insulative material may include increasing the thickness of the insulative material.
One skilled in the art will appreciate that, for this and other processes and methods disclosed herein, the functions performed in the processes and methods may be implemented in differing order. Furthermore, the outlined steps and operations are only provided as examples, and some of the steps and operations may be optional, combined into fewer steps and operations, or expanded into additional steps and operations without detracting from the essence of the disclosed embodiments.
For example, the method 600 may further include after the adjusting, re-comparing the bent impedance and the non-bent impedance. In these and other embodiments, the method 600 may further include, in response to the re-comparison, re-adjusting the thickness of the insulative material.
In some embodiments, the method 600 may further include, in response to the comparison, adjusting a thickness of the inner conductor. In these and other embodiments, in response to the bent impedance being greater than the non-bent impedance, the thickness of the inner conductor may be increased and the thickness of the insulative material may be decreased. In these and other embodiments, in response to the bent impedance being less than the non-bent impedance, the thickness of the inner conductor may be decreased and the thickness of the insulative material may be increased.
As illustrated in
Generally, the processor 710 may include any suitable special-purpose or general-purpose computer, computing entity, or processing device including various computer hardware or software modules and may be configured to execute instructions stored on any applicable computer-readable storage media. For example, the processor 710 may include a microprocessor, a microcontroller, a digital signal processor (DSP), an application-specific integrated circuit (ASIC), a Field-Programmable Gate Array (FPGA), or any other digital or analog circuitry configured to interpret and/or to execute program instructions and/or to process data. Although illustrated as a single processor in
The memory 712 and the data storage 714 may include computer-readable storage media or one or more computer-readable storage mediums for carrying or having computer-executable instructions or data structures stored thereon. Such computer-readable storage media may be any available media that may be accessed by a general-purpose or special-purpose computer, such as the processor 710. By way of example, and not limitation, such computer-readable storage media may include non-transitory computer-readable storage media including Random Access Memory (RAM), Read-Only Memory (ROM), Electrically Erasable Programmable Read-Only Memory (EEPROM), Compact Disc Read-Only Memory (CD-ROM) or other optical disk storage, magnetic disk storage or other magnetic storage devices, flash memory devices (e.g., solid state memory devices), or any other storage medium which may be used to carry or store desired program code in the form of computer-executable instructions or data structures and which may be accessed by a general-purpose or special-purpose computer. Combinations of the above may also be included within the scope of computer-readable storage media. Computer-executable instructions may include, for example, instructions and data configured to cause the processor 710 to perform a certain operation or group of operations.
In some embodiments, the system 700 may perform operations, such as directed by program instructions, to design a coaxial cable with a bend in a simulation environment, such as a Simulation Program with Integrated Circuit Emphasis (SPICE) or some other type or electrical circuit simulation environment. In these and other embodiments, the system 700 may perform operations to perform a simulation on parameters entered for a coaxial cable with a bend. The system 700 may perform operations to obtain a non-bent impedance of an inner conductor in a non-bent portion of a coaxial cable and a bent impedance of the inner conductor in a bent portion of the coaxial cable. The system 700 may perform operations to compare the bent impedance and the non-bent impedance. In response to the comparison, a thickness of an insulative material surrounding the inner conductor at the bent portion of the coaxial cable may be adjusted in the simulation.
After adjusting the thickness of the insulative material surrounding the inner conductor at the bent portion of the coaxial cable, the system 700 may perform operations to obtain the bent impedance of the inner conductor in the bent portion with the increased thickness. The system 700 may continue to adjust the thickness of the insulative material in the bent portion until an impedance difference between the non-bent impedance and the bent impedance reaches a particular threshold. The particular threshold may depend on a signal quality levels for future signals that may traverse the bend in the coaxial cable.
In some embodiments, in response to the bent impedance being greater than the non-bent impedance, the system 700 may decrease the thickness of the insulative material. Alternately or additionally, in response to the bent impedance being less than the non-bent impedance, the system 700 may increase the thickness of the insulative material. In some embodiments, in response to the bent impedance being greater or less than the non-bent impedance, the system 700 may adjust a shape of the insulative material. In some embodiments, the system 700 may determine the decrease, increase, and/or shape of the insulative material independently, based on user input, or using input only from a user. In these and other embodiments, the user may provide input through the I/O devices 716.
In some embodiments, the system 700 may also adjust a width, size, or shape of the inner conductor to adjust the bend impedance of the inner conductor. In these and other embodiments, in response to the bent impedance being greater than the non-bent impedance, the system 700 may increase the thickness of the inner conductor. Alternately or additionally, in response to the bent impedance being less than the non-bent impedance, the system 700 may decrease the thickness of the inner conductor.
In some embodiments, the system 700 may adjust only the width, size, or shape, of the inner conductor. Alternately or additionally, the system 700 may adjust only the thickness or shape of the insulative material at the bent portion. Alternately or additionally, the system 700 may adjust some combination of the width, size, or shape of the inner conductor and the thickness or shape of the insulative material. Modifications, additions, or omissions may be made to the system 700 without departing from the scope of the present disclosure.
While some of the system and methods described herein are generally described as being implemented in software (stored on and/or executed by general purpose hardware), specific hardware implementations or a combination of software and specific hardware implementations are also possible and contemplated. In this description, a “computing entity” may be any computing system as previously defined herein, or any module or combination of modulates running on a computing system.
Terms used herein and especially in the appended claims (e.g., bodies of the appended claims) are generally intended as “open” terms (e.g., the term “including” should be interpreted as “including, but not limited to,” the term “having” should be interpreted as “having at least,” the term “includes” should be interpreted as “includes, but is not limited to,” etc.).
Additionally, if a specific number of an introduced claim recitation is intended, such an intent will be explicitly recited in the claim, and in the absence of such recitation no such intent is present. For example, as an aid to understanding, the following appended claims may contain usage of the introductory phrases “at least one” and “one or more” to introduce claim recitations. However, the use of such phrases should not be construed to imply that the introduction of a claim recitation by the indefinite articles “a” or “an” limits any particular claim containing such introduced claim recitation to embodiments containing only one such recitation, even when the same claim includes the introductory phrases “one or more” or “at least one” and indefinite articles such as “a” or “an” (e.g., “a” and/or “an” should be interpreted to mean “at least one” or “one or more”); the same holds true for the use of definite articles used to introduce claim recitations.
In addition, even if a specific number of an introduced claim recitation is explicitly recited, those skilled in the art will recognize that such recitation should be interpreted to mean at least the recited number (e.g., the bare recitation of “two recitations,” without other modifiers, means at least two recitations, or two or more recitations). Furthermore, in those instances where a convention analogous to “at least one of A, B, and C, etc.” or “one or more of A, B, and C, etc.” is used, in general such a construction is intended to include A alone, B alone, C alone, A and B together, A and C together, B and C together, or A, B, and C together, etc. For example, the use of the term “and/or” is intended to be construed in this manner.
Further, any disjunctive word or phrase presenting two or more alternative terms, whether in the description of embodiments, claims, or drawings, should be understood to contemplate the possibilities of including one of the terms, either of the terms, or both terms. For example, the phrase “A or B” should be understood to include the possibilities of “A” or “B” or “A and B.”
All examples and conditional language recited herein are intended for pedagogical objects to aid the reader in understanding the invention and the concepts contributed by the inventor to furthering the art, and are to be construed as being without limitation to such specifically recited examples and conditions. Although embodiments of the present disclosure have been described in detail, it should be understood that various changes, substitutions, and alterations could be made hereto without departing from the spirit and scope of the present disclosure.