The present invention relates to connecting optical signals to substrates and between substrates and the like. The present invention more particularly relates to optical couplers for such connections.
In order to increase the bandwidth and communication speed of many computer and communication systems, optical fibers and optical components are increasingly being integrated into electronic systems. This integration typically involves conveying hundreds to thousands of optical signals between several substrates using optical fibers.
As part of making his invention, the inventor has recognized that current optical fiber technology is placing practical limits on the number of optical signals that can be incorporated in electronic systems because the connectors used to attach optical fibers to boards are relatively large. In addition, the inventor has recognized that these connectors often cause misalignment between the cores of the optical fibers and the cores of the channel waveguides on the substrates. While these misalignment problems could be addressed by using precision-manufactured connector components, such components are very expensive.
Accordingly, the inventor has recognized that there is a need to address simultaneously the issues of size, alignment, and cost of connecting optical fibers to substrates and the like.
A typical coupler according to the present invention couples an optical signal from an optical fiber to a channel waveguide by overlapping the cores of the optical fiber and channel waveguide along a portion of their waveguide lengths, with a spacing distance between the cores of not more than 20 microns when single-mode light is being coupled, and not more than 100 microns when multi-mode light is being coupled. This is in contrast to prior art couplers that position the ends of the two cores in a facing relationship. Attachment films may be disposed in the overlapping regions to provide advantageous coupling arrangements and to enable new types of opto-electric devices.
Accordingly, it is an object of the present invention to reduce the area needed to provide substrate-to-substrate optical coupling.
It is another object of the present invention to increase the accuracy of the alignment of optical couplers to optical substrates.
It is yet another object of the present invention to reduce the costs of optical couplers and the costs associated with aligning optical couplers to optical substrates.
It is yet another object of the present invention to enable the creation of new opto-electric devices.
These and other objects of the invention will become apparent to one of ordinary skill in the art in view of the present specification, claims, and attached drawings.
Optical coupler 100 comprises an element 110 having a top surface 111, a bottom surface 112, a first end 113, a second end 114, and a length L between the first and second ends. (As used herein, the term “element” broadly means a part of a larger component; in this case, optical coupler 110.) Element 110 further comprises a body 115 of core material disposed between the top surface 111 and bottom surface 112 and extending along the length L. (As used herein, the term “body” has the generic meaning of an individual three-dimensional object that has mass and that is distinguishable from other objects.) Body 115 may have the shape of a strip with an elongated dimension running substantially parallel to the length L, and with a cross-section that is square, rectangular, circular, or oval-shaped (e.g., like the core of an optical fiber or channel waveguide). Element 110 further comprises a first layer 116 of cladding material disposed between body 115 of core material and top surface 111 of element 110, and may comprise an optional second layer 117 of cladding material disposed between body 115 and bottom surface 112 of element 110. As used herein, the terms “core material” and “cladding material” have their broad meanings in the optics art. Specifically, light is conveyed mainly in the core material, as confined by the cladding material, with there being a difference in refractive-index properties between the two materials. For example, for simple and common optics materials having “real” refractive indices (as opposed to “complex” refractive indices), the cladding layer has a refractive index that is lower than that of the core material (typically at least 0.2%, and more typically between 0.2% and 5%). In this manner, the body 115 of core material is constructed to convey light in a direction that is substantially parallel to the bottom surface 112 of element 110.
Optical coupler 100 further comprises a first attachment region 121 located on the bottom surface 112 of element 110, near first end 113. First attachment region 121 is disposed over a portion of substrate 10 and is attached thereto by a first film 131 of adhesive material disposed on first attachment region 121. Film 131 is best seen in
In addition, optical coupler 100 preferably further comprises a second attachment region 122 located on the bottom surface 112 of element 110, near second end 114. Second attachment region 122 is disposed over a portion of substrate 20 and is attached thereto by a second film 132 of adhesive material disposed on second attachment region 122. Second adhesive film 132 has a top surface and a bottom surface opposite the top surface, with its top surface abutting and adhered to the bottom surface 112 of element 110 at second attachment region 122, and with its bottom surface abutting and adhered to a portion of the top surface of substrate 20. Adhesive film 132 is preferably manufactured such that its bottom surface is in a sticky state prior to being adhered to the top surface of substrate 20. Adhesive film 132 may comprise an adhesive material that enables it and element 110 to be readily detached from substrate 20 to enable testing and/or replacement of substrate 20. Adhesive film 132 typically has a peel strength of at least 10 to 15 grams per cm (in other words, it takes a peel force of at least 0.1 to 0.15 N/cm to peel off adhesive film 132), and preferably a peel strength of at least 100 g/cm (peel force of 1N/cm). Underneath attachment region 122 is optical waveguide 24 of substrate 20, which has a lower cladding layer 26, a core body 25, and an optional upper cladding layer 27. In a substantial portion of attachment region 122, the spacing distance from the bottom surface of core body 115 of optical coupler 100 and the top surface of core body 25 is small, as indicated by reference notation DS in
By techniques well known to the art, core body 15 may be configured to convey light having only a single transverse mode (called “single-mode light”), or may be configured to convey light having multiple transverse modes (called “multi-mode light”). As used herein and in the claims, the expressions “configured to convey light” means that the core body is configured to support the propagation of light along the core body in the particular mode-type. In general, core body 115 is configured to convey the same type of light (single-mode or multi-mode) as core body 15. The number of modes that can propagate along a waveguide core depends upon the transverse dimensions of the waveguide core in comparison to the wavelength of the light, and on the difference in the refractive indices of the core and cladding materials. In general, for light having wavelengths in the red region (˜0.9 μm to ˜1.6 μm), the transverse dimensions of the core body are between ˜5 μm and ˜9 μm for single-mode propagation, and between ˜15 μm and ˜100 μm for multi-mode propagation. Many tutorial textbooks on waveguide design have graphs and formulas that compute the difference in the refractive indices needed to achieve a single-mode waveguide or multi-mode waveguide given the transverse dimensions of the waveguide core. The reader who is unfamiliar with this area is directed to these texts.
This distinction between single-mode light and multi-mode light is important because each mode-type couples light across the attachment region in a different manner. In general, the coupling of single-mode coupling requires a smaller spacing distance DS than multi-mode light. In the present invention, in general, the spacing distance DS is 20 μm or less when the light in core bodies 15 and 115 is single-mode, and 100 μm or less when the light in core bodies 15 and 115 is multi-mode.
The coupling efficiency between the core bodies depends upon the spacing distance DS and by the amount that the core bodies overlap one another, which is designated as overlap distance LOP in
For general single-mode coupling applications, a coupling efficiency of at least 65% is desirable. From the example of
For specialized multi-layer optical wiring technologies, is it very possible to have a spacing distance DS smaller than 5 μm, such as in the range of 2 μM to 5 μM. For general multi-layer optical wiring technologies, a spacing distance DS of 4 μm or more is practical. In both cases, for single-mode coupling operations, the distance LOP generally becomes longer than desirable when using values of spacing distance DS of more than about 12 μm to 14 μm. Thus, for single-mode coupling operations in general multi-layer optical wiring technologies, a useful range for DS is about 4 μm to about 14 μm, with values of 12 μm, 9 μm, and 6 μm being good choices. Typically, LOP has a value of at least 1 mm, and more typically of at least 2 mm, and the ratio of LOP/DS is maintained at a value of at least 200 in order to achieve a coupling efficiency of at least ˜35%. In preferred embodiments, the ratio LOP/DS is equal to or greater than 300 to obtain greater coupling efficiency (usually at least ˜65%), and equal to or greater than 400 to obtain even greater coupling efficiency (usually at least ˜80%). While these ratio values are for the specific example of cores with square cross-sections of 7 μm per side and a refractive index of 1.567 and cladding layers having a refractive index of 1.563, they provide one of ordinary skill in the art with general guidance. It may be appreciated that one of ordinary skill in the art can select the values of LOP and DS for his or her specific waveguide construction to meet a coupling efficiency of at least 35%, or of at least 65%, or of at least 80%, or more. This can be done without undo experimentation by constructing an array of test structures that vary the values of LOP and DS, and then measuring the resulting coupling efficiencies to find the values of LOP and DS that meet the desired coupling efficiency. This task may also be performed by some commercially available waveguide optics simulation programs.
For general multi-mode coupling applications, the selection of DS and LOP become more complex because the coupling is dependent upon the configuration of the modes. In general, the value of DS is equal to or less than 100 μm, and more typically equal to or less than 50 μm. LOP is selected to provide the desired coupling efficiency, and is typically in the several millimeters to tens of millimeters range. Since the single-mode waveguides offer the greater densities of optical signals, they will be focused on in the remaining discussion.
The spacing distance DS between core bodies 115 and 15 may be made smaller by removing upper cladding layer 17 in the area of first attachment region 121. This means that the distance DS is set by the combined thickness of upper cladding layer 117 and first adhesive film 131. Thus, to achieve values of DS that are less than or equal to ˜12 μm, ˜9 μm or 6 μm for single-mode coupling applications, the combined thickness of these layers should be less than or equal to ˜12 μm, ˜9 μm or ˜6 μm, respectively. The spacing distance DS between core bodies 115 and 15 may also be made smaller by removing upper cladding layer 117 in the area of first attachment region 121. This means that the distance DS is set by the combined thickness of upper cladding layer 17 and first adhesive film 131. In the case where upper cladding layer 17 has a thickness of 3 μm, values of DS that are less than or equal to ˜12 μm, ˜9 μm or ˜6 μm can be achieved by setting the thickness of first adhesive film 131 to values that are less than or equal to ˜9 μm, ˜6 μm or 3 μm, respectively. Finally, for special single-mode coupling embodiments, the spacing distance DS between core bodies 115 and 15 may be made very small by removing both of upper cladding layers 17 and 117 in the area of first attachment region 121. This means that the distance DS is set by just the thickness of first adhesive film 131, which can be made as small as 2 μm to 5 μm.
Similar to the case of first attachment region 121, the spacing distance DS between core bodies 115 and 25 in the second attachment region may be made smaller by removing upper cladding layer 27 in the area of second attachment region 122. This means that the distance DS is set by the combined thickness of upper cladding layer 117 and second adhesive film 132. Thus, to achieve values of DS that are less than or equal to ˜12 μm, ˜9 μm or ˜6 μm for single-mode coupling applications, the combined thickness of these layers should be less than or equal to ˜12 μm, 9 μm or 6 μm, respectively. The spacing distance DS between core bodies 115 and 25 may also be made smaller by removing upper cladding layer 117 in the area of second attachment region 122. This means that the distance DS is set by the combined thickness of upper cladding layer 27 and second adhesive film 132. In the case where upper cladding layer 27 has a thickness of 3 μm, values of DS that are less than or equal to ˜12 μm, ˜9 μm or ˜6 m can be achieved by setting the thickness of second adhesive film 132 to values that are less than or equal to ˜9 μm, ˜6 μm or ˜3 μm, respectively. Finally, for special single-mode coupling embodiments, the spacing distance DS between core bodies 115 and 25 may be made very small by removing both of upper cladding layers 27 and 117 in the area of second attachment region 122. This means that the distance DS is set by just the thickness of second adhesive film 132, which can be made as small as 2 μm to 5 μm.
As another embodiment (not shown in the figures) of coupler 100, the second end 114 may be integrally formed with the optical waveguide layer 24 of substrate 20, in which case core bodies 115 and 25 would have ends that abut one another at second end 114. In this case, second attachment region 122 and second film 132 are not needed for this embodiment.
As an optional feature, which may be included by either of the above embodiments, the second cladding layer 117 may have an additional portion 118, as shown in
By means of a cut-away perspective view,
In coupling region 221, the core bodies 215 and 15 are spaced from one another by spacing distance DS along an overlap length of LOP, which is the length of segment 218. LOP, DS, and their ratio may have the values described above with respect to optical couplers 100 and 100′. For single mode coupling, DS is preferably less than or equal to 20 μm, and LOP is preferably greater than or equal to 1 mm. To reduce spacing distance DS, the cladding material 216 below segment 218, which is indicated by reference number 216b, may be thinned or removed. In the case that cladding material 216b is removed, the distance DS is set by the combined thickness of upper cladding layer 17 and adhesive film 231. In the case where upper cladding layer 17 has a thickness of 3 μm, values of DS that are less than or equal to ˜12 μm, ˜9 μm or ˜6 μm can be achieved by setting the thickness of adhesive film 231 to values that are less than or equal to ˜9 μm, ˜6 μm or ˜3 μm, respectively. The spacing distance DS between core bodies 215 and 15 may be made smaller by removing upper cladding layer 17 in the area where optical coupler 200 is attached. This means that the distance DS is set by the combined thickness of cladding material 216b and adhesive film 231. Thus, to achieve values of DS that are less than or equal to ˜12 μm, ˜9 μm or ˜6 μm, the combined thickness of these layers should be less than or equal to ˜12 μm, ˜9 μm or ˜6 μm, respectively. Finally, the spacing distance DS between core bodies 215 and 15 may be made very small by removing both of upper cladding layer 17 and cladding material 216b in the manners discussed above. This means that the distance DS is set by just the thickness of adhesive film 231, which can be made as small as 2 μm to 5 μm, but preferably not more than 20 μm.
For multi-mode coupling, DS is generally less than or equal to 100 μm, and preferably less than or equal to 50 μm. LOP is several millimeters to tens of millimeters.
In preferred embodiments, core body 215 further comprises a curved segment 219 located between segment 218 and second end 214. Curved segment 219 is located between top surface 211 and bottom surface 212, and gradually changes the direction of the light propagation in core body 215 so that the light may enter or exit core body 215 at a non-zero angle (e.g., 90 degrees). While segment 219 is preferably curved, it may be appreciated that one may replace it with a straight segment and a reflecting element (e.g., mirror) disposed between the straight segment and segment 218.
Top surface 211 may be constructed to receive an MT coupler having a plurality of optical fibers that align to the ends 214 of core bodies 215. In this case, a ferrule may be provided at top surface 211. As another implementation, coupler 200 may be integrally formed as an end coupler for a fiber array (not shown in the figure). This may be constructed by encapsulating the end of the fiber array in the configuration shown in
To aid alignment of coupler 200 to substrate 10, the body of element 210 may be formed of transparent or semi-transparent material, and conventional alignment marks (not shown) may be formed on both element 210 and substrate 10. Coupler 200 may be secured to substrate 10 by any means known or used in the art, or may also be secured to substrate 10 by an adhesive film like that of film 131.
Adhesive film 131 preferably has a refractive index lower than that of core body 115, but may have a refractive index equal to or higher than that of core body 115. Coupler 300 may further comprise an optional support layer 312 to provide additional rigidity to coupler 300, which can aid in aligning and attaching coupler 300 to substrate 10. To further aid in the alignment of coupler 300 to substrate 10, the body of element 110 and support layer 312 may be formed of transparent or semi-transparent material, and conventional alignment marks (not shown) may be formed on both coupler 300 and substrate 10.
LOP, DS, and their ratio may have the general and preferred values described above with respect to optical couplers 100 and 100′ for single-mode coupling and multi-mode coupling. As before, the spacing distance DS between core bodies 115 and 15 may be made smaller by removing upper cladding layer 17 in the area of first attachment region 121. Also as before, the spacing distance DS between core bodies 115 and 15 may also be made smaller by removing upper cladding layer 117 in the area of first attachment region 121. Also as before, the spacing distance DS between core bodies 115 and 15 may be made very small by removing both of upper cladding layers 17 and 117 in the area of first attachment region 121. This means that the distance DS is set by just the thickness of first adhesive film 131, which can be made as small as 2 μm to 5 μm, but preferably not more than 20 μm for single-mode coupling, and not more than 100 μm for multi-mode coupling.
As indicated above, one object of the present invention is to reduce the cost of manufacturing the optical couplers. Each of the optical couplers described above and each additional one described below can be mass-produced by conventional waveguide manufacturing processes, thereby substantially reducing the manufacturing costs compared to those required for the coupler shown in
The present invention enables new types of opto-electric devices.
Element 410 further comprises a first electrode 421 and a second electrode 422 disposed to generate an electric field across at least a portion of body 420 of electro-optic material. Electrode 421 (
A film 431 of adhesive material is disposed on the bottom surface 412 of the element 410, the film having a thickness equal to or less than 20 μm when core body 15B is configured to convey single-mode light, and equal to or less than 100 μm when core body 15B is configured to convey multi-mode light. The spacing distance between the top of the core body 15B in substrate 10 and the bottom of body 420 of electro-optic material is indicated as DS. In addition, there is an overlap distance LOP of body 420 and core body 15B along the direction of length L. In the embodiment illustrated in
LOP, DS, and their ratio may have the general and preferred values described above with respect to optical couplers 100 and 100′ for single-mode and multi-mode coupling. The spacing distance DS between body 420 and core body 15B may be made smaller by removing that portion of upper cladding layer 17 that is above core body 15B and that is in the area wherein element 410 is attached. This means that the distance DS is set by the thickness of adhesive film 431. Thus, to achieve values of DS that are less than or equal to ˜12 μm, ˜9 μm or ˜6 μm for single-mode coupling, the thickness of film 431 should be less than or equal to ˜12 μm, ˜9 μm or ˜6 μm, respectively. The thickness of adhesive film 431 can be made as small as 2 μm to 5 μm.
For multi-mode coupling, DS is generally less than or equal to 100 μm, and preferably less than or equal to 50 μm. LOP is several millimeters to tens of millimeters.
As indicated above, body 420 of electro-optic material has a refractive index that varies as a function of the electric field applied to it by electrodes 421 and 422. Voltage is applied to electrodes 421 and 422 to create different potentials on electrodes 421 and 422, and to generate the electric field. (As is known in the art, the voltage applied to electrodes 421 and 422 is equal to the difference in their potentials.) The electric field is directed from electrode 421 to electrode 422 (which may be called the “first direction”) when the potential of electrode 421 is greater than the potential of electrode 422. The electric field is directed from electrode 422 to electrode 421 (which may be called the “second direction”) when the potential of electrode 422 is greater than the potential of electrode 421. Depending upon the orientation of the atoms or molecules in body 420, the refractive index of body 420 can increase as the electric field is increased in the first direction and decrease as the electric field is increased in the second direction; or it can decrease as the electric field is increased in the first direction and increase as the electric field is increased in the second direction.
When the refractive index of body 420 is less than that of cladding layer 17, body 420 acts substantially as a cladding layer, and little or no light is coupled from core body 15B to body 420, and thus substantially no attenuation occurs. When the refractive index is greater than that of cladding layer 17, body 420 acts substantially like a core body, and an amount of light is coupled from core body 15B to body 420. As such, the light propagating through core body 15B is effectively attenuated. The amount of light coupled to body 420 increases as the refractive index of body 420 increases. Since the refractive index of body 420 depends upon the electric field applied by electrodes 421 and 422, the amount of light coupled to body 420 is a function of the voltage applied between electrodes 421 and 422, and thus the amount of light attenuated in core body 15B is a function of the voltage applied between electrodes 421 and 422.
The electro-optic material of body 420 can be readily selected such that there is no attenuation of light through core body 15B when no voltage is applied to electrodes 421 and 422 (e.g., a “normally-off” attenuator). This can be done by selecting the electro-optical material to have an intrinsic refractive index (i.e., the value of the refractive index without a voltage or electric field applied) that is less than the refractive index of core layer 15B by an amount of at least 0.1%, and generally less than the refractive index of core layer 15B by a value of ½Δn. Then, as voltage is applied to the electrodes, the refractive index of body 420 increases to a value that enables body 420 to draw light from core body 15B. Accordingly, the optical signal in core body 15B is attenuated by an amount that is in relation to the voltage applied between electrodes 421 and 422.
The electro-optic material of body 420 can also be readily selected such that there is partial or complete attenuation of light through core body 15B when no voltage is applied to electrodes 421 and 422 (e.g., a “normally-on” attenuator). This can be done by selecting the electro-optical material to have an intrinsic refractive index that is substantially equal to or greater than the refractive index of core layer 15B. Then, as voltage is applied to the electrodes in one direction, the refractive index of body 420 increases and enables body 420 to draw more light from core body 15B, and thereby increasing the attenuation. As voltage is applied to the electrodes in the opposite direction, the refractive index of body 420 decreases and causes body 420 to draw less light from core body 15B, and thereby decreasing attenuation. Accordingly, the optical signal in core body 15B is attenuated in relation to the voltage applied between electrodes 421 and 422.
Another new device enabled by the present invention is a vertical Mack-Zehnder structure shown at 500 in
Element 510 comprises a top surface 511, a bottom surface 512, a first end 513, a second end 514, and a length L between first end 513 and second end 514. Element 510 further comprises a body of core material 515 disposed between the top surface 511 and bottom surface 512 and extending along the length L, a first body of cladding material 516 disposed along at least a portion of core body 515 and at least above core body 515, and a second body of cladding material 517 disposed along at least a portion of core body 515 and at least above core body 515. Only one of cladding bodies 516 and 517 is needed, but both may be used. Body 515 of core material is constructed to convey light in a direction substantially parallel to the bottom surface 512 of element 510 (e.g., it has an elongated dimension in the direction of length L). Element 510 further comprises a first attachment region 521 located at the bottom surface 512 of element 510 closer to first end 513 than second end 514, and a second attachment region 522 located at the bottom surface 512 closer to second end 514 than first 513.
In first attachment region 521, there is a first spacing distance DS1 between core body 515 and waveguide core 55, and core body 515 has a first overlap length LOP1 over which it has the first spacing distance DS1 to waveguide 54. Similarly, in second attachment region 522, there is a second spacing distance DS2 between core body 515 and waveguide core 55, and core body 515 has a second overlap length LOP2 over which it has the second spacing distance DS2 to waveguide 54. The attachment regions 521 and 522 are attached to the top surface of waveguide 54 (and over core body 55) by two respective films 531 and 532 of adhesive material disposed on bottom surface 512. Adhesive films 531 and 532 may collectively comprise a common adhesive film disposed on bottom surface 512 along the length L. Adhesive films 531, 532 are preferably manufactured such that their bottom surfaces are in a sticky state prior to being adhered to the top surface of substrate 50. The adhesive films may comprise an adhesive material that enables them and element 510 to be readily detached from substrate 50 to enable testing and/or replacement. Each of adhesive films 531 and 532 typically has a peel strength of at least 10 to 15 grams per cm (in other words, it takes a peel force of at least 0.1 to 0.15 N/cm to peel off the adhesive film), and preferably a peel strength of at least 100 g/cm (peel force of 1N/cm).
In general, the amount of coupling that occurs in first attachment region 521 is different from the amount that occurs in second attachment region 522. As an example, when light is traveling from left to right in core body 55, about 50% of the light in core body 55 is coupled to core body 515 in first attachment region 521, and about 95% of the light in core body 515 is coupled back to core body 55 in section attachment region 522. This is consistent with the Mach-Zehnder theory of operation where the light is split into two substantially equal paths, and thereafter recombined. In practice, one would like to achieve 100% coupling in second attachment region 521, but one often achieves a percentage that is less than 100%. However, this can be compensated by increasing the percentage coupled in first attachment region 521 to above 50%, by using the following relationship: X=(100%)2/(100%+Y), where Y is the coupling percentage at second attachment region 522, and X is the coupling percentage at first attachment region 521. Thus, if Y=90%, then X would equal 52.63%. The values of DS1, LOP1, DS2, and LOP2 can be readily selected to achieve desired values of X and Y. In general, for single-mode coupling, both DS1 and DS2 will not be more than 20 μm, and LOP1, and LOP2 will be equal to or greater than 1 mm. As before, the spacing distances DS1 and DS2 may be made smaller by removing upper cladding layer 57 in the areas of first attachment regions 521 and 522 (which is shown in the figure). Also as before, the spacing distances DS1 and DS2 may also be made smaller by removing upper cladding layer 517 in the areas of first attachment regions 521 and 522. Also as before, the spacing distances DS1 and DS2 may be made very small by removing both of upper cladding layers 57 and 517 in the areas of the attachments region 521 and 522. This means that the distance DS is set by just the thickness of the adhesive films 531 and 532, which can be made as small as 2 μm to 5 μm.
The Mach-Zehnder interferometer effect may be accomplished by varying the refractive index of core body 515, and/or the refractive index of cladding body 516, and/or the refractive index of cladding body 517. A change in the refractive index in one or more of bodies 515-517 causes a change in the propagation speed of the light in core body 515, which introduces a change in phase of the light signal in core body 515 relative to the light signal in core body 54 over the length of core body 515. Typically, one or both of the cladding bodies 516 and 517 comprise electro-optic material, whereas core body 515 typically does not. As indicated above with respect to coupler 400, the refractive index may be changed by applying an electric field, which in turn may be generated by two electrodes. These electrodes may be formed in or on element 510, or may be disposed in close proximity, such as on substrate 50.
Referring back to
While the present invention has been particularly described with respect to the illustrated embodiments, it will be appreciated that various alterations, modifications and adaptations may be made based on the present disclosure, and are intended to be within the scope of the present invention. While the invention has been described in connection with what are presently considered to be the most practical and preferred embodiments, it is to be understood that the present invention is not limited to the disclosed embodiments but, on the contrary, is intended to cover various modifications and equivalent arrangements included within the scope of the appended claims.
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