Multimode optical transmission system employing modal-conditioning fiber
10451803 ยท 2019-10-22
Assignee
Inventors
- Xin Chen (Corning, NY)
- John Douglas Coleman (Hickory, NC, US)
- Donald Kennedy Hall (Mooresville, NC, US)
- Ming-Jun Li (Horseheads, NY)
Cpc classification
G02B6/268
PHYSICS
G02B6/262
PHYSICS
International classification
Abstract
A multimode optical fiber transmission system that employs an optical fiber with at least one modal-conditioning fiber is disclosed. The system includes a single-mode transmitter that generates modulated light having a wavelength between 800 nm and 1600 nm; an optical receiver configured to receive and detect the modulated light; a multimode optical fiber that defines an optical path between the single-mode transmitter and the optical receiver, the multimode optical fiber having a core with a diameter D.sub.40 and a refractive index profile configured to optimally transmit light at a nominal wavelength of 850 nm; and at least one modal-conditioning fiber operably disposed in the optical path to perform at least one of modal filtering and modal converting of the optical modulated light.
Claims
1. A fiber assembly of N fibers, comprising: a first fiber array, T, comprising a first plurality of fibers, and a second fiber array, R, comprising a second plurality of fibers, wherein a first end of each fiber of the first fiber array, T, terminates at a first connection location and a first end of each fiber of the second fiber array, R, terminates at a second connection location, wherein a second end of a first fiber in the first fiber array, T, is paired with a second end of a first fiber of the second fiber array, R, at a third connection location, wherein at least one fiber of the first fiber array, T, or at least one fiber of the second fiber array, R, comprises at least one modal-conditioning fiber section and at least one multimode fiber section, wherein the at least one modal-conditioning fiber section has a length of 5 mm or greater and a core diameter D.sub.c in the range from 10 microns to 23 microns, the at least one modal-conditioning fiber section being configured to serve as at least one of: a modal-converting fiber configured to convert an optical signal from a higher mode to a lower mode; or a modal-filter fiber configured to allow transmission of an optical signal of a lower mode through the modal-filter fiber and block transmission of an optical signal of a higher mode through the modal-filter fiber, and wherein the at least one multimode fiber section has a core diameter of 50 microns and mode-field diameter of a fundamental mode LP01 of about 15 microns at a 1310 nm wavelength.
2. The fiber assembly according to claim 1, wherein the fiber assembly is configured as either a breakout module or a breakout harness.
3. The fiber assembly of claim 1, wherein the first fiber array, T, comprises fibers 1 to N/2 and the second fiber array, R, comprises fibers [(N/2)+1] to N, where N is an even number greater than 2.
4. The fiber assembly of claim 1, wherein at least one fiber of the first fiber array, T, is differentiated from at least one fiber of the second fiber array, R, by at least one characteristic.
5. The fiber assembly of claim 4, wherein the at least one characteristic is refractive index profile, core size, mode field diameter, cladding diameter, composition, or length.
6. The fiber assembly of claim 4, wherein the at least one characteristic is bandwidth-distance product, skew, differential modal delay, attenuation performance, bend sensitivity, modal dispersion, chromatic dispersion, polarization mode dispersion, cutoff wavelength, or transmission modes supported under given operating conditions.
7. The fiber assembly of claim 4, wherein the at least one characteristic is length.
8. The fiber assembly of claim 1, wherein a second end of a second fiber in the first fiber array, T, is paired with a second end of a second fiber of the second fiber array, R, at a fourth connection location.
9. The fiber assembly of claim 8, wherein each of the third and fourth connection location comprises a respective pair of adjacent optical pathways in a single multifiber connector.
10. The fiber assembly of claim 8, wherein the third connection location comprises a first duplex fiber connector and the fourth connection location comprises a second duplex fiber connector.
11. The fiber assembly of claim 1, wherein the at least one modal-conditioning fiber section is configured to serve as a modal-converting fiber.
12. The fiber assembly of claim 11, wherein the at least one modal-conditioning fiber section is configured to convert the optical signal to a the fundamental mode LP01 of the at least one modal-conditioning fiber section.
13. The fiber assembly of claim 11, wherein the at least one modal-conditioning fiber section is positioned between a single mode transmitter and the at least one multimode fiber section.
14. The fiber assembly of claim 1, wherein the at least one modal-conditioning fiber section is configured to serve as a modal-filter fiber.
15. The fiber assembly of claim 14, wherein the at least one modal-conditioning fiber is positioned between a multimode fiber and an optical receiver.
16. The fiber assembly of claim 1, wherein the at least one modal-conditioning fiber section is configured to serve as a modal-converting fiber and a modal-filter fiber.
17. The fiber assembly of claim 1, wherein the at least one modal-conditioning fiber section has a core delta .sub.0 in the range 0.2.sub.02.0%.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The accompanying drawings are included to provide a further understanding, and are incorporated in and constitute a part of this specification. The drawings illustrate one or more embodiment(s), and together with the Detailed Description serve to explain principles and operations of the various embodiments. As such, the disclosure will become more fully understood from the following Detailed Description, taken in conjunction with the accompanying Figures, in which:
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DETAILED DESCRIPTION
(16) Reference is now made in detail to various embodiments of the disclosure, examples of which are illustrated in the accompanying drawings. Whenever possible, the same or like reference numbers and symbols are used throughout the drawings to refer to the same or like parts. The drawings are not necessarily to scale, and one skilled in the art will recognize where the drawings have been simplified to illustrate the key aspects of the disclosure.
(17) The claims as set forth below are incorporated into and constitute part of this detailed description.
(18) In the description below, The term relative refractive index, as used herein in connection with the optical fibers and fiber cores discussed below, is defined as:
(r)=[n(r).sup.2n.sub.REF.sup.2)]/2n(r).sup.2,
where n(r) is the refractive index at radius r, unless otherwise specified. The relative refractive index is defined at the operating wavelength, which is the wavelength where the multimode core of the optical fiber is designed to work optimally, e.g., where the differential mode delay is minimized. In one aspect, the reference index n.sub.REF is silica glass. In another aspect, n.sub.REF is the maximum refractive index of the cladding. The parameter n.sub.0 is the maximum index of the index profile. In most cases, n.sub.0=n(0).
(19) As used herein, the relative refractive index is represented by and its values are given in units of %, unless otherwise specified. In cases where the refractive index of a region is less than the reference index n.sub.REF, the relative refractive index is negative and is referred to as a trench. The minimum relative refractive index is calculated at the point at which the relative index is most negative, unless otherwise specified. In cases where the refractive index of a region is greater than the reference index n.sub.REF, the relative refractive index is positive and the region can be said to be raised or to have a positive index. The value of (r) for r=0 is denoted .sub.0.
(20) The alpha parameter as used herein relates to the relative refractive index , which is in units of %, where r is the radius (radial coordinate) of the fiber, and which is defined by (r)=.sub.0.Math.[1Q.sup.], where Q=(rr.sub.m)/(r.sub.0r.sub.m), where r.sub.m is the point at which (r) is the maximum .sub.0 and r.sub.0 is the point at which (r) %=0. The radius r is in the range r.sub.irr.sub.f, where (r) is defined above, r.sub.i is the initial point of the -profile, r.sub.f is the final point of the -profile and is an exponent that is a real number.
(21) For a step index profile, >10, and for a gradient-index profile, <5. It is noted here that different forms for the core radius r.sub.0 and maximum relative refractive index .sub.0 can be used without affecting the fundamental definition of . For a practical fiber, even when the target profile is an alpha profile, some level of deviation from the ideal situation can occur. Therefore, the alpha parameter for a practical fiber is obtained from a best fit of the measured index profile. An alpha parameter in the range 2.052.15 provides a minimum for the differential mode delay (DMD) at 850 nm and an alpha parameter in the range 1.952.05 provides a minimum for the DMD at 1300 nm.
(22) The modal bandwidth (or overfill bandwidth) of an optical fiber is denoted BW and is defined herein as using overfilled launch conditions at 850 nm according to IEC 60793-1-41 (TIA-FOTP-204), Measurement Methods and Test Procedures: Bandwidth. The minimum calculated effective modal bandwidths BW can be obtained from measured DMD spectra as specified by IEC 60793-1-49 (TIA/EIA-455-220), Measurement Methods and Test Procedures: Differential Mode Delay. The units of bandwidth for an optical fiber can be expressed in MHz.Math.km, GHz.Math.km, etc., and a bandwidth expressed in these kinds of units is also referred to in the art as the bandwidth-distance product. The modal bandwidth is defined in part by modal dispersion. At the system level, the overall bandwidth can be limited by chromatic dispersion, which limits the system performance at a high bit rate.
(23) The limits on any ranges cited herein are considered to be inclusive and thus to lie within the range, unless otherwise specified.
(24) The symbol m means micron or microns, and the symbol m and the word micron or microns are used interchangeably herein.
(25) The term modal-conditioning fiber is used to generally denote at least one fiber that performs modal conditioning as disclosed herein. In various examples, the modal-conditioning fiber can serve as: 1) a modal-converting fiber when used adjacent the transmitter for converting the launching light close to the fundamental LP01 mode of the multimode fiber; 2) a modal-filter fiber when used adjacent the receiver for substantially filtering out the higher-order modes; 3) as both a modal-converting fiber and a modal-filter fiber when operably disposed within the optical path between the optical transmitter and the receiver; 4) as both a modal-converting fiber and a modal-filtering fiber when first and second modal-conditioning fibers are used at respective first and second ends of the multimode fiber adjacent the transmitter and the receiver. The modal-conditioning fiber can comprise a single section of one type of optical fiber that performs modal conditioning or can comprise two or more sections of optical fiber wherein one or more of the sections perform the modal conditioning.
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(28) As noted above, there is increasing interest in using existing 850 nm MMF 40, such as OM2, OM3 or OM4 fiber, with SM transmitters 20S operating at a wavelength in the range from 800 nm to 1600 nm (and in particular at 1300 nm) to transmit data within or between data centers over distances of 100 m to 1000 m, depending on the system capability as limited by the power budget and the bandwidth of the MMF 40. The SM transmitter 20S discussed here can be one that is designed based on an existing standard to work with single-mode fiber. Such a SM transmitter 20S can be configured for use with MMF 40 to ensure better interoperability, upgradability, logistic management and/or compatibility with the existing installation. Note also that MMF 40 is designed for optimal operation at 850 nm, but that systems 10 of
(29) Bandwidth measurements were conducted for the basic configuration of system 10 as shown in
(30) The single-mode fiber section 50 was initially aligned with the MMF section 40 (center to center). Controlled radial offsets Sr were then introduced in about 1 micron steps (increments) using X-Y-Z alignment stage 70, and the bandwidth of the fiber defined by single-mode fiber 50 and MMF section 40 was measured. Tunable laser 80 generated laser light 82 of nominally 1300 nm. The network analyzer 100 was used to send out sweeping RF-frequency signals to drive optical modulator 90, thereby forming optically modulated signals 82M from laser light 82.
(31) The modulated optical signals 82M traveling in single-mode fiber section 50 were coupled into MMF section 40 and were then received by MM receiver 30M. The received signals were then analyzed by network analyzer 100, which produced a transfer function TF(f), often also referred to as S21 signals, where f stands for frequency. The bandwidth of the optical fiber can be determined from the transfer function using standard techniques. For example, the bandwidth can be extracted at the 3 dBo point (defined by the 10.Math.log(.Math.) operator) or the 6 dBe point (defined by the 20.Math.log(.Math.) operator) of the transfer function TF(f).
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(33) This observation is surprising when compared to the conventional understanding of SM launch at 850 nm, which assumes the coupling from a specific launch condition to nearby mode groups or mode groups with different radial positions is not substantial. The fact that a low bandwidth is observed even with SM-type of launch condition means that there is some level of mode coupling in MMF 40. The higher-order modes can be excited from the launch point and along the length of MMF 40. Additional coupling can occur likely from lower-order modes into higher-order modes at a nominal wavelength of 1300 nm (more so than those at 850 nm). Note that for MMF optimized for 850 nm operation, the time delays of the higher-order modes at 1300 nm are much higher than for the fundamental modes, which would form a right-tilt DMD chart.
(34) Thus, even though more laser light 82M is launched near the center of MMF 40 or with a small spot size with an offset, this light gets coupled to higher-order modes that travel at greater radial positions. Note that OM3 and OM4 MMFs are made for operation at nominally 850 nm, so that its overfilled launch (OFL) modal bandwidth is only guaranteed to be above 500 MHz.Math.km at 1300 nm. The light 82M propagating at larger radial positions has dramatically different delay when it reaches the other end of MMF 40. When the light of the higher-order modes is captured by MM receiver 30M, it degrades the system performance dramatically. Therefore, the system performance cannot support a reach of greater than about 200 m, or 300 m if the light from the whole core region of the MMF is detected by the receiver 30M.
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(36) With reference to
(37) In
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(39) When the modal-conditioning fiber 150 is used as a modal converting fiber, in some of the embodiments, the purpose is to primarily excite the fundamental mode of the MMF 40. The MMFs OM2 to OM4 have cores 42 with diameters D.sub.40 of 50 microns and mode-field diameters (MFDs) of fundamental mode LP01 of about 15 microns at 1310 nm wavelength, which is greater than that for the SMF-28 single-mode fiber. If single-mode fiber SMF-28 is used for modal-converting fiber 150, the performance is not expected to be optimal since the MFD of SMF-28 does not match the fundamental mode of MMF 40.
(40) Further, in addition to exciting the fundamental mode of MMF 40, higher order modes are also excited and these have a much different time delay. To ensure optimal launch of the fundamental mode, the core diameter D.sub.c of the modal-converting fiber 150 should be close to that of the fundamental mode of MMF 40. Therefore, in one example, the range of the core diameter D.sub.c of the modal-converting fiber 150 is 10 mD.sub.c23 m, and in another example is 12 mD.sub.c23 m. Also in an example, the core delta (.sub.0) is in the range from 0.2% to 2.0%. The modal-converting fiber 150 in this example can also optionally be a bend-insensitive fiber, e.g., by having a trench structure in the refractive index profile.
(41) As discussed above, when modal-conditioning fiber 150 is disposed between MMF 40 and receiver 30, it acts as a modal filter. The smaller core diameter D.sub.c of modal-filter fiber 150 acts to filter out the higher-order modes that can travel in MMF 40. While there is some modal loss, the modulated light 22 from SM transmitter 20 that travels over the optical path will be limited to those modes that travel substantially down the center of the MMF 40 and out to the core diameter D.sub.c of modal-filter fiber 150 so that only the light emitted substantially from the center of MMF 40 is received at receiver 30.
(42) In some embodiments, the core diameter D.sub.c is in the aforementioned range of between 10 m and 23 m so that modulated light 22 traveling over fiber 110 and received by receiver 30 is substantially only that associated with the fundamental mode LP01. Consequently, the delay difference between the modes (i.e., the DMD) for the received light after the modal-filtering fiber 150 will be much smaller than the delay difference between the higher-order modes from edge of the core and the center of the core when the modal-filtering fiber 150 is not employed. In an example embodiment, modal-filtering fiber 150 has a core delta .sub.0 in the aforementioned range from 0.2% to 2.0%. Also in an example, modal-filtering fiber 150 can optionally be a bend-insensitive fiber, e.g., by having a trench structure in the refractive index profile.
(43) Some examples of modal-conditioning fiber 150 can have a step refractive index profile with a core delta .sub.0 value of less than 0.5% and core diameter D.sub.c of less than 23 microns. The large-effective-area fibers EX2000 and EX3000 made by Corning, Inc., Corning, N.Y., are example types of fibers that meet these requirements. In some embodiments, modal-conditioning fiber 150 can operate essentially as single-mode fibers at the operating wavelength (e.g., nominally 1300 nm) even though the fiber has a theoretically cutoff above the operating wavelength. To force a few-mode fiber to operate in single mode, a portion of the fiber can be coiled to have a coil diameter within the range of 10 mm to 50 mm.
(44) In some other embodiments, modal-conditional fiber 150 can be gradient index (GRIN) fiber with alpha profile having core delta .sub.0 in the range from 0.3% to 2.0%, and the aforementioned core diameter D.sub.c in the range from 10 microns to 23 microns. In other embodiments, D.sub.c50 microns.
(45) As explained above in connection with
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(47) In an example, at least one modal-conditioning fiber 150 is included at least partially within each two-fiber connector 27, as illustrated in
(48) In
(49) In a simple demonstration of the concept, a section of single-mode fiber 50 of few meters in length was connected to the end of a section of MMF 40 in the measurement system 60 of
(50) In making the above measurement, the modal bandwidth property of the example fiber 110 was measured by using a single-mode fiber section 50 to launch light from the center of the MMF 40 and another single-mode fiber section 50 placed at the end of the MMF 40 to filter out higher-order modes. The configuration is used for modal bandwidth characterization. The performance of a system with a SM transmitter 20S and MMF 40 are affected not only by the modal bandwidth BW but also the amount of power that can reach the receiver, and by power fluctuations caused by external perturbation of fiber 110.
(51) As discussed above, an example core diameter D.sub.c for modal-condition fiber 150 is in the range from 10 m to 23 m to launch substantially only the fundamental mode of the MMF 40. Therefore, when the core diameter D.sub.c for the modal-conditioning fiber 150 is within this select range, it is expected that the modal bandwidth performance would be similar or better than for a fiber 110 having SMF-28 single-mode fibers operably disposed at both ends of the MMF 40.
(52) However, as discussed above, there are additional drawbacks of using SMF-28 single-mode fiber for modal-conditioning fiber 150 in either or both ends of the MMF 40. This is because the core diameter D.sub.c of SMF-28 is too small as compared to the fundamental mode of MMF 40. Consequently, a significant amount of light coming from SM transmitter 20S or the launching SMF-28 single-mode fiber will be lost when the light is received by and attempts to pass through the receiving-end SMF-28 single-mode fiber. Furthermore, the large mismatch in MFD of the LP01 mode between the SMF-28 and the MMF 40 causes excitation of higher-order modes at the launching end of the MMF 40, which degrades the system performance.
(53) With a single span of MMF 40 of 1 km, there is a minimal amount (e.g., 4 dB) optical loss measured at the output of receiving-end SMF-28 single-mode fiber. This optical loss value is smaller for shorter distances of about 400 m to 500 m, e.g., is about 2.5 dB. In practice, when multiple spans of MMFs 40 are used, because of the slight offset at each connecting junction, the received optical power from a SMF-28 single-mode fiber can be much smaller than otherwise expected.
(54) Additionally, the received optical power is also very sensitive to the perturbation of the MMF 40, which is inevitable in the field. Thus, the power fluctuation would be too large (e.g., greater than 1 to 2 dB) to ensure a reliable performance as gauged by a bit error rate measurement. The bit error rate is always measured through using a particular threshold for the received signals. If the overall level of the signal drifts up and down too dramatically, it will result in significant bit errors.
(55) On the other hand, when a modal-conditioning fiber 150 with a larger core is used, the drawback observed for SMF-28 single-mode fiber can be largely eliminated. In the above-described experiments, two short modal-conditioning fibers 150 were made from the aforementioned commercially available EX3000 large-effective-area (and thus large MFD) single-mode fiber with LC connectors placed in both fiber ends. The nominally effective area of EX3000 fiber at 1550 nm is around 150 m.sup.2 so that the estimated core diameter D.sub.c=13.8 m, which is close to the optimal value of around 15 m.
(56) The above-described experiments employed an LRM transceiver 25 operating at about 1310 nm at 10 Gb/s. Note that the receiver 30 of the LRM transceiver 25 is a multimode receiver so that it can receive/capture the light output from the fibers used in the experiment. The MMF fiber 110 was formed by four spans of MMF 40 (OM3) with respective length of 300 m, 50 m, 300 m and 100 m, with the total length of 750 m. Each span of the MMF 40 was connectorized with an LC connector 27 and mated together to form a 750 m MMF fiber. Each end of the MMFs 40 was connected with an EX3000 jumper with LC connectors (see
(57) The measured signal was error free for at least 20 minutes before shifting to other testing. By shaking the fiber 110 in several accessible places, the power fluctuation from the output of the EX3000 fiber was only 0.15 dB, which is well within the acceptable range. The use of the EX3000 fiber caused a power loss of around 1.5 dB, as compared to the case without the EX3000 jumper fibers, which is also well within the acceptable range.
(58) In another experiment, a MMF fiber 110 with three spans of MMF 40 (OM3) of respective length of 300 m, 50 m and 300 m was used, for a total MMF length of 650 m. Similar results were obtained, with error free BER performance over 20 minutes and very little power fluctuation due to perturbation.
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(64) Fiber array 208 is made up of modal-conditioning fibers 150 optically connected to (e.g., concatenated to) respective MMFs 40, with the ends of the modal-conditioning fibers terminated with connectors 213 inserted into front end adapters 212, and the free ends of the MMF terminated with connectors (not shown) inserted into back-end adapters 214. Fiber array 208 is configured to provide a select optical connection configuration between the front-end and back-end adapters 212 and 214. An example of such a select optical connection configuration is described below.
(65) Trunk 220 is shown by way of example as including two multifiber legs 220L that are respectively optically connected to the two back-end adapters 214 via connectors 222. Likewise, jumpers 250 are optically connected to the front-end 202 of module 200 via front-end adapters 212. Thus, the front-end and back-end adapters 212 and 214 respectively serve to provide connection locations for jumper connectors 252B and trunk connectors 222 to complete the optical path between the SM transmitter 20S and receiver 30, as shown in
(66) Other configurations of module 200 are possible, e.g., a single back-end adapter 214 that includes all of the necessary fiber connection locations, different locations and/or orientations for the front-end adapters 212, etc. The configuration of
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(68) The fiber assembly 300 is shown by way of example as including N=24 fibers, with each fiber array 310T and 310R having N/2=12 fibers T and R. In general, N is an even number greater than 2, and the choice of N=24 is simply by way of illustration. In the example, fibers T are numbered 1 through 12 and fibers R are numbered 13 through 24. More generally, for N total fibers, fibers T are numbered 1 through N and fibers R are numbered (N/2)+1 to N.
(69) Fiber assembly 300 includes on one side (the left side) first connection locations 320 where one side of the T and R fibers are terminate in pairs, denoted as (T,R). In example embodiments, the paired connection locations 320 can be defined by one or more connector adapters or one or more fiber connectors, such as duplex connectors, two-fiber connectors, etc., as discussed above in connection with breakout module 200 and breakout harness 270.
(70) Fiber assembly 300 also includes on the other side (the right side) second connection locations 330 where the other side of fibers T and R are terminated in groups or sections, as denoted by (T) and (R). In an example embodiments, connection locations 330 can be defined by one or more connector adapters or one or more fiber connectors, etc., as discussed above in connection with breakout module 200 and breakout harness 270.
(71) In the example shown, two multifiber connectors 332R and 332T are employed that respectively define connection locations 330 for fibers R and T at the right side of fiber assembly 300. In another example, a single connector 332 is used that includes a first row or plane (group) of connection locations for fibers R and a second row or plane (group) of connection locations for fibers T. Thus, connection locations 330 serve to separate and group fibers R and fibers T.
(72) In various examples, modal-conditioning fibers 150 can reside at anywhere between connection locations 320 on the left side of fiber array 300 and connection locations 330 on the right side of the fiber array. Modal conditioning fibers 150 can also span the full distance between connection locations 320 and 330 such that MMF 40 is not part of the modal-conditioning fiber assembly 300.
(73) In a preferred embodiment system polarity is maintained by defining duplexed fiber pairs for fiber assembly 300 denoted in shorthand as (T),(R).fwdarw.(T,R), wherein the pairings (T,R) of transmit and receive fibers T and R at the left side can be written as (T,R), where T=1 to (N/2) and R=((N/2)+1) to N. This configuration of fibers T and R within fiber assembly 300 reduces manufacturing complexity in instances where performance optimization or cost considerations may dictate that only modal-converting fibers or modal-filtering fibers be used, or if modal-converting fibers and modal-filtering fibers are required to be of different fiber types. It is further disclosed that proper maintenance of system polarity requires that the connectors of trunk 220 be mated to fiber assembly 300 at each end of the trunk in a manner so that each transmit fiber of fiber array 310T on each end of the trunk 220 is placed in optical communication with a receive fiber of fiber array 310R on the other end of the trunk and that the fiber paths so formed should be paired at each end as described above. As an example, for a 24-fiber trunk 220 of
(74) Aspects of the disclosure include providing modal-filter fiber 150 at one or more components of system 104, e.g., in jumpers 250 at one or both ends of the system; in breakout module 200; in breakout harness 270; in fiber assembly 300; in connectors used anywhere along the optical path to establish an optical connection for the optical path; or in a combination of these components. Likewise, aspects of the disclosure include providing modal-conditioning fiber 150 at one or both ends of MMF 40, as shown in the embodiments of
(75) It will be apparent to those skilled in the art that various modifications to the preferred embodiments of the disclosure as described herein can be made without departing from the spirit or scope of the disclosure as defined in the appended claims. Thus, the disclosure covers the modifications and variations provided they come within the scope of the appended claims and the equivalents thereto.