LIMITED MODE DISPERSION COMPENSATING OPTICAL FIBER
Field of the Invention
The invention relates generally to limited mode optical fibers used in optical fiber communication systems and in particular to high order mode dispersion compensating optical fibers.
Background of the Invention
One measure of the performance of optical communication systems is the maximum bandwidth; the highest bit rate supported in the communication system. The bit rate generally refers to the speed in which data is transferred from one place to another. High bit rates permit large quantities of data to be transferred in a short period of time. The bit rate is often limited by physical characteristics of the communication link. For example, optical links typically transfer data through an optical waveguide such as an optical fiber in the form of light pulses. As the pulse of light propagates through the fiber, different wavelengths travel at different velocities through the optical fiber. This speed differential of the various wavelengths making up the pulse, referred to as chromatic dispersion, causes a short pulse input to one end of the fiber to emerge from the far end as a broader pulse. This limits the bit rate at which information can be carried through an optical fiber. The effect of chromatic dispersion on the optical signal becomes more critical as the bit rate increases. Chromatic dispersion in an optical fiber is the sum of material dispersion and the waveguide dispersion and is defined as the derivative of the group delay with respect to wavelength divided by the length of fiber.
Dispersion slope is defined as the rate of change of the total chromatic dispersion of the fiber as the wavelength changes, that is, the derivative of the dispersion with respect to wavelength. It is also know as second order dispersion. Third order dispersion is defined as the rate of change of the dispersion slope with respect to wavelength.
In order to achieve the high performance required by today's communication systems, with their demand for ever increasing bit rates, it is necessary to reduce the
effect of chromatic dispersion. Several possible solutions are known to the art, including both active and passive methods of compensating for chromatic dispersion. One typical passive method involves the use of dispersion compensating (DC) fibers. DC fiber has dispersion properties that compensate for the chromatic dispersion inherent in optical communication systems. DC fibers exist that are designed to operate on both the fundamental or lowest order mode (LP01) and on higher order modes.
One desired property of DC fiber is significant negative dispersion. A high degree of negative dispersion reduces the length of fiber required to compensate for a large amount of positive dispersion. Another desired property of a DC fiber is low optical signal attenuation. Ideally such a DC fiber should compensate for both chromatic dispersion and dispersion slope, and would be operative over the entire transmission bandwidth. The optical transmission bandwidth typically utilized is known as the "C" band, and is conventionally thought of as from 1525 nm - 1565 nm. Longer wavelengths are also coming into usage, and are known as the "L" band, consisting of the wavelengths from 1565 nm - 1610 nm.
Refractive index profiles that support desired higher order modes, typically also support undesired higher order modes which can generate unwanted effects. Furthermore, periodic perturbations in the fiber such as periodic bending due to spooling create coupling between the desired high order mode and the undesired high order modes which are guided in the fiber. Modes having approximately the same propagation speed or propagation constants, couple more strongly than modes having significantly different propagation constants. The propagation constant is often symbolized with the symbol β, and is a function of the refractive index η according to the formula β = 2πηl λ . Thus, in place of the propagation constant β, the effective refractive index for each mode ηeff may be utilized for each wavelength to determine the strength of coupling between modes.
Typical dispersion compensating fibers are designed as single mode fibers which support only the fundamental or lowest order mode (LP01) at typical operating wavelengths. Such fibers are typically characterized as having relatively low negative
dispersion, high loss, small Aeff and a resultant low tolerance for high power and limited compensation of slope. Higher order spatial modes such as the LP02mode are typically not supported (i.e. not guided) through the fiber.
U.S. Pat. No. 5,361,319 discloses a family of DC fibers that are capable of providing a dispersion more negative than -20 ps/nm-km and attenuation of less than 1 dB/km at the wavelengths in the 1520-1565 nm region. Several of the disclosed DC fibers also exhibit a negative dispersion slope in this region. The refractive index profiles typically exhibit a relatively large refractive index delta in the central core region, and a relatively narrow width for the central core region as compared with conventional step index single-mode fibers. The maximum dispersion achievable is approximately -100 ps/nm-km with a slope ratio of approximately 0.8 to 1.2. The profile is designed to operate in the LP01 mode, and not to support other higher order modes.
U.S. Pat. No. 5,448,674 discloses an optical DC fiber, containing a power law core refractive index profile, a refractive index "trench" surrounding the core, and a refractive index "ridge" surrounding the trench. The profile is designed to support the LP01 mode, does not support the LPU mode but does support the LP02 mode at λop, the operating wavelength. Dispersion compensation is accomplished with the optical signal in the LP01 mode, and any optical power which is transferred to the LP02 mode is subsequently stripped out and lost, thus contributing to losses in the system.
U.S. Pat. No. 5,802,234 discloses an optical DC fiber with a refractive index profile selected such that the fiber supports the LP01 and LP02 modes, and typically one or more further higher order modes, and the dispersion is substantially all in the LP02 mode. The total dispersion is more negative than -200 ps/nm-km over a relatively wide wavelength range. The refractive index profile exhibits an effective mode field diameter which increases with increasing wavelength as the mode energy expands to the refractive index "ring" area. Such a mode field expansion results in losses in the operative wavelength range of 1525 nm to 1560 nm, as the LP02 mode expands into the refractive index "ring" with increasing wavelength. The DC fiber is designed to be operated in the trough of the dispersion curve, i.e. close to cutoff. The profile is designed so that the
dispersion curve in the operative wavelengths is relatively flat, and thus relatively insensitive to manufacturing variations. The third order dispersion in this region is positive, with the slope increasing, indicative of attenuation losses in the LP02 mode.
A need exists for a dispersion compensating fiber which overcomes these and other drawbacks of the prior art.
Summary of the Invention
The present invention relates in one aspect, to a refractive index profile designed to support higher order spatial modes, and in particular the LP02 spatial mode in an optical waveguide. The waveguide exhibits negative dispersion and negative dispersion slope and negative third order dispersion over the operating wavelength. In one embodiment the profile is designed with a reduced refractive index "well" or depression in the center core region, and is intended to enhance the properties of the dispersion compensating waveguide. In addition the refractive index profile of the present invention supports an exemplary LP02 mode.
A limited mode dispersion compensating optical waveguide according to the present invention includes a center core portion having a center core refractive index the center core refractive index being less than a predetermined value. The waveguide also includes an outer core portion surrounding the center core portion and having an outer core refractive index that is greater than the center core refractive index. The waveguide further includes a first cladding portion surrounding the outer core portion and having a first cladding refractive index that is less than the outer core refractive index. The dispersion compensating optical waveguide supports at least one high order spatial mode. In one embodiment , the mode is the LP02 spatial mode.
In another embodiment, the waveguide includes a second cladding portion surrounding the first cladding portion and having a second cladding refractive index that is greater than the first cladding refractive index. Yet another embodiment of the waveguide includes a third cladding portion surrounding the second cladding portion and
having a third cladding refractive index wherein the third cladding refractive index is less than the second cladding refractive index.
In still another embodiment, the optical waveguide supports at least one high order spatial mode and exhibits negative dispersion and negative dispersion slope over an operating wavelength range. In yet another embodiment, the operating wavelength range is about 1525nm to about 1565nm.
Brief Description of the Drawings
FIG. 1 illustrates a radial view of a refractive index step profile for a typical dispersion compensating fiber known to the prior art.
FIG. 2 illustrates material, waveguide, and total dispersion versus wavelength typically achieved by a fiber having the step index profile of FIG. 1.
FIG. 3 illustrates intensity versus radial location of the LP02 mode at 1550μm as guided by a fiber having the step index profile of FIG. 1.
FIG. 4 illustrates intensity versus radial location of the LP02 mode at 1590μm as guided by a fiber having the step index profile of FIG. 1.
FIG. 5 illustrates a radial view of a refractive index step profile of a dispersion compensating waveguide according to one embodiment of the present invention.
FIG. 6 illustrates material, waveguide, and total dispersion versus wavelength over the range of 1500nm to 1600nm typically achieved for one embodiment of a inventive waveguide having a step index profile of FIG. 5.
FIG. 7 illustrates material, waveguide, and total dispersion versus wavelength over the range of 1525nm to 1700nm typically achieved for one embodiment of a inventive waveguide having a step index profile of FIG. 5.
FIG. 8 illustrates intensity versus radial location of the LP02 mode at 1550μm as guided by an embodiment of an inventive fiber having the step index profile of FIG. 5.
FIG. 9 illustrates intensity versus radial location of the LP02 mode at 1590μm as guided by an embodiment of an inventive fiber having the step index profile of FIG. 5.
FIG. 10 illustrates a radial view of a simulated manufactured refractive index step profile of a dispersion compensating waveguide according to one embodiment of the present invention.
FIG. 11a illustrates material, waveguide, and total dispersion versus wavelength over the range of 1500nm to 1600nm typically achieved for one embodiment of a inventive waveguide having a simulated manufactured step index profile of FIG. 10.
FIG. 1 lb illustrates the actual loss for the LP02 mode for one embodiment of a inventive waveguide having a simulated manufactured step index profile of FIG. 10.
FIG. 12 illustrates intensity versus radial location of the LP02 mode at 1550μm as guided by an embodiment of an inventive fiber having the simulated manufactured step index profile of FIG. 10.
FIG. 13 illustrates intensity versus radial location of the LP02 mode at 1590μm as guided by an embodiment of an inventive fiber having the simulated manufactured step index profile of FIG. 10.
FIG. 14 illustrates a block diagram of a dispersion compensated communication system using an embodiment of the dispersion compensating waveguide of the present invention.
Detailed Description of the Invention
FIG. 1 illustrates a radial view of a refractive index step profile of a dispersion compensating fiber designed to operate in the LP02 mode, known to the prior art. The profile includes a core region 10, a first cladding region (trench) 12, a second cladding region (ridge) 14, and a third cladding region 16. The profile of FIG. 1 corresponds to a fiber having a core diameter of 4.2μm, an outer trench radius of 7.3μm and an outer ridge radius of 12.7μm, and a third cladding region 16 that extends to the fiber surface. The
parameter Δ is defined as Δ(r)=(n(r)-n0)/n0, where n0 is the refractive index of pure vitreous SiO2 and n(r) is the refractive index at radius r. The profile exhibits a large delta of 1.83% in the core region 10 (known as the A, region), a delta of 0% in the A2 region, followed by a delta of 0.39% of the wide lower step in the A3 region. The third cladding region 16 having a delta of 0% extends to the outer surface of the fiber.
FIG. 2 illustrates dispersion curves in the LP02 mode for the prior art step index profile shown in FIG. 1. The total dispersion is defined as the sum of the material dispersion and the waveguide dispersion. Curve 20 represents the material dispersion. Curve 22 represents the waveguide dispersion. The total dispersion is shown as curve 24. The total dispersion curve 24 shows a trough 26 near the operating wavelength of
1550nm, which is approximately the maximum negative dispersion point. The dispersion in this wavelength range is greater than -500ps/kmnm. It is to be noted that the slope in this operating range is minimal. The third order dispersion in the operating range is positive, with the slope itself becoming positive at approximately 1555 nm, which is indicative of high attenuation losses in the LP02 mode in this region.
FIG. 3 illustrates a plot 30 of the modal energy for the LP02 mode at the 1550nm wavelength for the prior art step index profile shown in FIG. 1. The X-axis represents radial distance in microns, and the Y-axis represents energy in arbitrary units. Region 32 of plot 30 shows the maximum intensity, which is contained in the A, region 10. Region 34 of plot 30 shows the remaining energy which is primarily in the A2 region 12. The mode is of normal appearance, with almost no energy found in the A3 region 14 of FIG. 1.
FIG. 4 illustrates a plot 30' of the modal energy for the LP02 mode at the 1590nm wavelength for the prior art step index profile shown in FIG. 1. The axes are the same as shown in FIG. 3. Here, the mode shows an abnormal extra rise 36' near the 8.0μm radial location, and that abnormality extends to the outer radius of the A3 region 14. This is indicative that the cutoff wavelength is approaching, and attenuation of the LP02 mode is increasing as the mode energy expands.
FIG. 5 shows an exemplary step index profile designed to operate in the LP02 mode, according to one embodiment of the present invention with significantly reduced refractive index at the center core portion 40 near the core center (A0). The center core refractive index ncc at the center core portion 40 is close in value to that of the refractive index of the first cladding portion 44. This lower refractive index value facilitates the separation of the modes so as to reduce modal interference. It also serves to reduce the peak intensity so as to minimize non-linear effects. In one illustrative embodiment, the center core refractive index ncc is slightly higher than the first cladding refractive index nCL1. In another illustrative embodiment, the maximum value of the outer core refractive index noc in the outer core portion 42 (A,) is lower than the value of the core refractive index of core portion 10 of FIG. 1. In one embodiment (noc - ncc )/ noc is greater than 0.2% so as to have an impact significantly greater than any manufacturing tolerance. The width as well as the value of the outer core refractive index noc in the outer core portion 42 (Aj) are predetermined to support a higher order mode, preferably the LP02 mode.
The step index profile of the present invention further shows a reduced first cladding refractive index nCL1 in the first cladding portion 44 (A2) surrounding the outer core portion 42 (At). The first cladding portion 44 (A2) is designed to confine the LP02 mode. In one embodiment, the refractive index nCL1 of the first cladding portion 44 (A2) is shown with value equal to that of the refractive index of the third cladding portion 48. In other embodiments, the first cladding refractive index nCLI is greater than or less than the refractive index of the third cladding portion 48. Changing the refractive index nCL1 will change the dispersion slope. Note that the width of the first cladding portion 44 (A2) is greater than the width of the first cladding portion 12 shown in the prior art step index profile of FIG. 1. In one embodiment, the first cladding refractive index nCL1 is achieved with suitable doping, so as to be less than the refractive index ncL3 of the third cladding portion 48 as is known to those skilled in the art. In another embodiment both the first cladding refractive index nCL1 and the third cladding refractive index ncu are less than that of undoped silica glass.
Surrounding the first cladding portion 44 (A2) is the second cladding portion 46 (A3). The second cladding portion 46 (A3) functions to guide the LP02 mode further, and
prevent any expansion of the LP02 mode into the third cladding portion 48. The location and width of the second cladding portion 46 assists in preventing the LP02 mode from escaping into the third cladding portion 48, and makes the fiber more resistant to bending losses.
FIG. 6 illustrates dispersion curves for one embodiment of the step index profile according to FIG. 5. The total dispersion is defined as the sum of the material dispersion and the waveguide dispersion. Curve 50 represents the material dispersion. Curve 52 represents the waveguide dispersion. The total dispersion is shown as curve 54. The total dispersion curve 54 shows no trough near the operating wavelength of 1550nm unlike the total dispersion curve 24 (FIG. 2) of the prior art step index fiber. Instead, the total dispersion curve 54 is negative over the operative "C" wavelength range of 1525nm to 1565 nm, with a negative dispersion slope. It is also to be noted that the third order dispersion is negative substantially throughout the entire operating range. It is to be particularly noted that the third order dispersion becomes zero at point 55, which is at approximately 1580 nm, as the slope ceases to become more negative. Adjusting the step index profile can modify the dispersion characteristics of the fiber. This is useful, for example, to arrive at a desired negative dispersion slope. It is understood by those skilled in the art that a typical single mode fiber SMF exhibits a positive dispersion slope as well as positive dispersion. The dispersion compensating fiber of the present invention, in one aspect, is designed to compensate for this dispersion and dispersion slope. The refractive index profile of the present invention is designed to demonstrate negative dispersion slope in the operating wavelength range.
Fig. 7 illustrates a zoom out of the dispersion curve shown in Fig. 6 over a wider wavelength range of 1500nm to 1700nm. A trough 56 appears in the wavelength region near 1630nm. In the operative wavelength region surrounding 1550nm, however, the dispersion is negative with a negative slope and the trough 56 is significantly distant from the operative wavelength range. The subsequent rise in the dispersion after the trough 56 is indicative of the approaching cutoff of the LP02 mode. Third order dispersion approaches zero at approximately 1580 nm, point 55, following which the slope begins to become more positive, and third order dispersion becomes positive.
FIG. 8 illustrates a plot 60 of the modal energy for the LP02 mode at the 1550nm wavelength for the step index profile as shown in FIG. 5 according to an embodiment of the present invention. The X-axis represents radial distance in microns, and the Y-axis represents energy in arbitrary units. The region 62 of the plot 60 shows the maximum intensity in the center core portion 40 (A0) and the outer core portion 42 (A,). As shown on the plot 60, a small aberration 66 exists in the top of the intensity curve of region 62. This is due to the depressed refractive index in the center core portion 40 (A0). This aberration reduces the maximum peak energy, thus minimizing non-linear effects. Region 64 of plot 60 shows the remaining energy in the first cladding portion 44 (A2). Except for the aberration 66, the mode is of normal appearance, with substantially no energy found in the second cladding portion 46 (A3). The mode is constrained tightly within the core. Substantially no energy exists past a radius of 7.5μm.
FIG. 9 illustrates a plot 60' of the modal energy for the LP02 mode at the 1590nm wavelength for the step index profile as shown in FIG. 5. The wavelength range near 1590nm is sometimes referred to as the "L" wavelength band. Again, the LP02 mode appears to be almost normal with a small aberration 66' in the region 62'. The mode is constrained tightly within the core. Substantially no energy exists past a radius of 7.5μm. In should be noted that energy is not leaking into the second cladding portion 46 (A3) as compared to the plot 30' of the LP02 mode shown in FIG. 4. The propagation of the LP02 mode at 1590mn in the prior art step index fiber shows significant energy leaking into the second cladding region 14 of FIG. 1.
FIG. 10 illustrates an embodiment of a manufactured profile according to the present invention. The profile steps, which were shown with sharp edges in the embodiment of FIG. 5 actually contain rounded edges, due in part to diffusion of dopant during the waveguide manufacturing process. These rounded edges do not significantly affect the characteristics of the inventive optical waveguide. As those skilled in the art are aware, actual profiles typically vary somewhat from nominal or ideal profiles.
The center core portion 40' has a depressed center core index of refraction ncc. As depicted in this illustrative embodiment, the nominal value of ncc is approximately
1.4525. This dip in the refractive index value is created by carefully controlling the manufacturing process. The index of refraction of the center core portion 40', in one aspect, is purposely depressed to advantageously prevent mode coupling between modes supporting in the optical waveguide, and to reduce the peak intensity of the mode. The outer radius of the center core portion 40' is approximately 0.5μm from the radial center of the waveguide.
The outer core portion 42' has a nominal outer core refractive index value noc of approximately 1.4690 with an outer radius of approximately 4.6um from the radial center of the waveguide. The first cladding portion 44' has a nominal first cladding refractive index value nCL1 of approximately 1.44 with an outer radius of approximately 9.0um from the radial center of the waveguide. The second cladding portion 46' has a nominal second cladding refractive index value nCL2 of approximately 1.4490 with an outer radius of approximately 13.6um from the radial center of the waveguide. The third cladding portion 48' has a nominal third cladding refractive index value nCL3 of approximately 1.444 with an outer radius which extends to the outer surface of the fiber. In one embodiment, the third cladding refractive index value is the refractive index value of pure vitreous SiO2.
Referring to FIG. 10, Δcc % of portion 40' is about 0.7%, Δoc % of portion 42' is about 1.8%, ΔCL1 % of portion 44' is about -0.28%, and ΔCL2 % of portion 46' is about 0.35%. The respective outside radius of each segment, starting with the innermost segment and proceeding outward is about 0.5um, about 4.6um, about 9.0um, and about 13.6um. The widths and percentages may be modified in a manner known to those skilled in the art, so as to achieve the desired characteristics.
FIG. 11a illustrates dispersion curves of the LP02 mode for one embodiment of the step index profile according to FIG. 10. The total dispersion is defined as the sum of the material dispersion and the waveguide dispersion. Curve 50' represents the material dispersion. Curve 52' represents the waveguide dispersion. The total dispersion is shown as curve 54'. The total dispersion curve 54' shows no trough near the operating wavelength of 1550nm. Instead, the total dispersion curve 54' is negative over the "C"
band operative wavelength range of 1525nm to 15656nm, with a negative dispersion slope. The third order dispersion is negative substantially over the "C" band, approaching zero at approximately 1580 nm. Adjusting the step index profile can modify the dispersion characteristics of the fiber. This is useful, for example, to arrive at a desired negative dispersion slope. It is understood by those skilled in the art that a typical single mode fiber SMF exhibits a positive dispersion slope as well as positive dispersion. The dispersion compensating fiber of the present invention, in one aspect, is designed to compensate for this dispersion and dispersion slope.
FIG. l ib illustrates the actual experimental loss for the LP02 mode for one embodiment of a inventive waveguide having a simulated manufactured step index profile of FIG. 10, shown as curve 60. The X-axis represents dB/km and the Y-axis represents wavelength in nanometers. Low loss is experienced in the "C" band from 1525 nm to 1565 nm, with the attenuating rising significantly at approximately 1580 nm, shown as point 62. This matches closely with point 55' of Fig. 1 la, at which the third order dispersion reaches zero.
FIG. 12 illustrates a plot 70 of the modal energy for the LP02 mode at the 1550nm wavelength for the step index profile as shown in FIG. 10 according to an embodiment of the present invention. The X-axis represents radial distance in microns, and the Y-axis represents energy in arbitrary units. The region 72 of the plot 70 shows the maximum intensity in the center core portion 40' (A0) and the outer core portion 42' (A^. Region 74 of plot 70 shows the remaining energy in the first cladding portion 44' (A2). The mode is of normal appearance, with substantially no energy found in the second cladding portion 46' (A3). The mode is constrained tightly within the core. Substantially no energy exists past a radius of 7.5 μm.
FIG. 13 illustrates a plot 70' of the modal energy for the LP02 mode at the 1590nm wavelength for the step index profile as shown in FIG. 10. The wavelength range near 1590nm is sometimes referred to as the "L" wavelength band. The mode is constrained tightly within the core. Substantially no energy exists past a radius of 7.5 μm, with the an almost imperceptible rise at point 76' indicating that expansion of the mode is beginning.
It should be noted that significant energy is not leaking into the second cladding portion 46' (A3) as compared to the plot 30' of the LP02 mode shown in FIG. 4. The propagation of the LP02 mode at 1590nm in the prior art step index fiber shows significant energy leaking into the second cladding region 14 of FIG. 1.
In designing dispersion compensating fibers, several manufacturing issues should be addressed. There are four important manufacturing process methods used today for fabricating silica fibers, including modified chemical vapor deposition (MCND), plasma- activated chemical vapor deposition (PCND), outside vapor deposition (OND), and vapor axial deposition (NAD). Typically, the fiber is drawn from a preform under a high- localized temperature. As a result, diffusion of the preform components occurs during the preform preparation and during the drawing process itself. This diffusion creates changes in the refractive index profile and can distort the refractive index profile. The manufacturing process will generally create a smooth "graded" refractive index profile as shown in FIG. 10, instead of a sharp step profile as illustrated in FIG. 5.
Well-known silica dopants such as GeO2, P2O5, F and B2O2 are used to increase or decrease the refractive index of silica and can be used to create refractive index profiles in dispersion compensating fibers. In comparison to common single mode fibers (SMFs), dispersion compensating fibers (DCFs) are characterized by higher values of Δ in the core area (A\) of [(nmax2 - nclad2)/2nmax2] . These effects increase loss in the range of 1550nm and special attention must be given during the fiber's drawing process (temperature & rate) to minimize the extra loss.
In designing a dispersion compensating fiber base on the LP02 mode, several parameters must be determined. Strong negative dispersion (e.g. < -100 ps/nm-km) is desirable. Additionally, variable dispersion slope (e.g. more than +1 to less than -3.5 ps/nm2-km) can be selected to compensate for broad-band dispersion. The fiber should be insensitive to polarization orientation to eliminate the need for polarization maintenance. Finally, the fiber should exhibit low non-linear effects when high power is used. The LP02 mode has significant power in the cladding. As a result the LP02 mode is inherently sensitive to spooling. The refractive index profile of the present invention is
designed to reduce this sensitivity. The segmented core-clad refractive index profile design of the present invention is sufficiently flexible to achieve high negative dispersion for a wide range of dispersion compensation.
By changing the dimensions of the different segments of the profile, the dispersion curve can be shifted or sharpened. As a result, the dispersion, dispersion slope and third order dispersion of the LP02 mode at the same spectral region can have various magnitudes.
A system utilizing the fiber index profile shown in FIG. 5 or FIG. 10 is shown in FIG. 14. The system of FIG. 14 comprises a transmitter 80 coupled to a single mode fiber (SMF) 82 for data transmission. The fiber supports the LP01 mode. The fiber also typically suffers from some amount of positive dispersion and dispersion slope. By coupling a mode transformer 84 to the SMF 82 to transform the LP01 mode to a higher order mode, a high order dispersion compensating fiber (DCF) 86 can compensate for the dispersion and dispersion slope of the SMF 82. If another SMF 90 is coupled to the communication system, the DCF 86 having the correct properties will pre-compensate for that SMF 90 as well. Another mode transformer 88 is used to transform the high order mode to the LP01 mode to be transmitted in the SMF 90. Receiver 92 is coupled to the SMF 90 for receiving the data. Alternatively, receiver 92 may be coupled directly to mode transformer 88 (not shown). In that embodiment, pre-compensation is not necessary by DCF 86 since the second SMF 90 is no longer part of the system.
Having described and shown the preferred embodiments of the invention, it will now become apparent to one of skill in the art that other embodiments incorporating the concepts may be used and that many variations are possible which will still be within the scope and spirit of the claimed invention. In particular, an optical waveguide may be designed to exhibit the desired properties for the "L" band, and/or for both the "L" band and the "C" band. It is felt, therefore, that these embodiments should not be limited to disclosed embodiments but rather should be limited only by the spirit and scope of the following claims.