The present invention relates to a method for manufacturing a coupling arrangement for coupling light of one second wavelength from a pump fibre into a signal fibre, wherein the pump fibre and the signal fibre are different from one another. The invention also relates to such a coupling arrangement and to an all-fibre core pumped Thulium-doped fibre amplifier comprising such a coupling arrangement.
Coupling arrangements of the aforementioned kind are useful for different applications. In order to fabricate these coupling arrangements one usually fuses the pump fibre and the signal fibre together. A well-known prior art technique to do so is the so called Fused Biconical Taper (FBT) technique which is known for example from B. S. Kawasaki, K. O. Hill and R. G. Lamont, Biconical-taper single-mode fiber coupler, Opt. Lett 6, 327-328 (1981). This technique is commonly used to produce Fused Fibre Couplers (FFC).
However, other techniques have also been used to connect the fibres in a coupling arrangement.
A FFC is for example used to couple light guided in the core of a single-mode fibre into the core of another single-mode fibre with identical or at least similar parameters, e.g. the cutoff wavelengths. Usually an FFC is built up from identical fibres. The resulting FFC shows a strong wavelength dependence of the coupling, which means such an FFC works as a narrow-band coupler.
In order to get a so called wavelength-flat coupler or wavelength-flattened coupler it is known from some publications (e.g. Mortimore, D B (1985), Wavelength-flattened fused couplers, Electronic Letters, 21 (17), 742 and U.S. Pat. No. 4,798,436) to taper one of the fibres before applying the FBT technique. By tapering a fibre the propagation constant of this fibre is being changed relative to the propagation constant of the fundamental mode of the other fibre. Only if there is a difference in the propagation constants of the two fibres it is possible to achieve a wavelength-flat FCC by FBT technique. However, if the difference is too big, it is not possible to get an FCC by FBT technique at all.
In some applications there is a need to couple light of one wavelength into a fibre which is a single-mode fibre at another wavelength but multimode at the wavelength that is to be coupled in. One example for such an application is the core pumping of a Thulium doped fibre (TDF) with single-mode laser light of a wavelength of about 795 nm which corresponds to an absorption maximum of a TDF.
Lasers based on Thulium doped fibres extend the accessible wavelength towards the eye-safe region of about 2 μm. The absorption spectrum of thulium shows mainly three maxima at 1630 nm, 1210 nm and 795 nm. The absorption maximum at a wavelength of 795 nm has a nearly twice as large absorption cross section as the other two absorption maxima. In addition to this higher absorption, pumping the TDF with light with a wavelength of 795 nm is favourable because there is the possibility of direct core pumping by laser diodes.
From chapter 4 of the PhD-thesis of Marcin Michal Kozak (Development of Thulium-Doped Fluoride Fiber Amplifiers, Braunschweig, 2005, published by Cuvillier, Göttingen, 2006) fibre couplers for Thulium doped fibre amplifiers are known. With these couplers light with a wavelength of about 805 nm is coupled into the core of a fibre, which guides light single-mode at wavelengths of about 1470 nm and/or 1850 nm. These couplers consist of two fibres which are both identical single-mode fibres with a cut-off wavelength of about 1230 nm. Hence these fibres act as multimode fibres at a wavelength of about 805 nm. Due to this multimode character these couplers have a high excess loss.
Kozak states that ideally fibres should be used which are single-mode at both wavelengths; however such fibres are not available. Alternatively, different fibres should be used which are single-mode at different wavelengths. These fibres could for example be made from different glass compositions, which according to Kozak leads to massive problems in the manufacture of the coupler. Hence, the coupling described by Kozak is not high efficient due to the multimode character of the pump fibre at the pump wavelength.
Efficient single-mode side coupled core pumping of a long wavelength single-mode fibre with a short wavelength single-mode laser light is not known.
It is hence an object of the present invention to provide a coupling arrangement for coupling light of one second wavelength from a pump fibre efficiently into a signal fibre, wherein the pump fibre and the signal fibre are different from one another.
It is a further object of the present invention to provide an all fibre core pumped Thulium doped fibre amplifier comprising such a coupling arrangement.
It is a further object of the present invention to provide a method for manufacturing such a coupling arrangement.
A method for manufacturing an asymmetric coupling arrangement for coupling light of one second wavelength from a pump fibre efficiently into a signal fibre, wherein the pump fibre and the signal fibre are different from one according to the present invention comprises the following steps:
Preferably the pump fibre is a single-mode fibre for light having the second wavelength.
In a preferred embodiment the signal fibre is a single mode fibre for light having the first wavelength but is a multimode fibre for light having the second wavelength.
In a preferred embodiment of the method the pump fibre and the signal fibre are connected by fusing them together using the Fused Biconical Taper (FBT) Technique.
The pump fibre and the signal fibre are fused together. The coupling region is also called interactive waveguide region. In order to be able to transfer the light having the second wavelength from the pump fibre into the signal fibre which is single-mode for light having the first wavelength it is necessary to change the propagation constant of the fundamental mode of one of the fibres. This is done by the pre-tapering in step a) and results in a matching of the propagation constants in the interactive waveguide region and therefore in the successful multiplexing of the two light fields with a high coupling ratio.
The changing of the propagation constant of the fundamental mode for one of the two fibres is already known for the already mentioned wavelength-flattened couplers. However those couplers consist of equal fibres which means that changing the propagation constant of the fundamental mode of one of the two fibres results in a mismatch of the propagation constants in the interactive waveguide region. This leads to the desired broad spectral response of the wavelength-flattened couplers. For this process an exact knowledge of the correct and precise pre-tapering amount or the pre-taper parameter is not necessary. A simple mismatch by detuning one of the propagation constants is sufficient to realize a wavelength-flattened coupler.
In contrast to this the exact pre-taper parameter has to be known precisely in a method according to the present invention. It can be determined in different ways.
In a preferred embodiment of the present invention the pre-taper parameter is predetermined by performing simulations using a simulation model. Such a simulation model allows to calculate the pre-taper length for matching the propagation constants of the signal fibre and the pump fibre in the interactive region, the so called coupling region. Ideally the model should be applicable for arbitrary wavelengths and single-mode fibres.
Consider a directional coupler with two non-identical single-mode fibres supporting the fundamental mode with the propagation constants β1 and β2, respectively. The propagation constant depends on the effective refractive index and the wavelength of the input radiation. For unity power launched into the first fibre (index 1) at length z=0, the power distribution between the first fibre and the second fibre (index 2) at any position z of the coupler is given by
Here, K is a measure of the coupling strength and is called coupling coefficient. It depends on the fibre parameters, the separation of the cores and the operation wavelength. The difference of the propagation constants Δβ is referred to as the phase mismatch. For the special case of a symmetric coupler made from two identical fibres (β1=β2) the phase mismatch is zero and hence γ=K. The equations (1) and (2) in this case reduce to
P
1(z)=cos2 γz and P2(z)=sin2 γz.
Hence, the input power is completely transferred periodically between the two fibres. For an asymmetric coupler made from two non-identical fibres the phase mismatch is non-zero (Δβ≠0). In this case a total power transfer between the two fibres is not possible and just a fraction of the input power is coupled from one fibre (pump fibre) to the other fibre (signal fibre). To make a complete power transfer possible the propagation constants have to be matched, e.g. by the already mentioned pre-tapering of one of the two fibres.
In a preferred embodiment of the present invention the simulation model is a 2-dimensional model based on the finite-difference beam propagation method. Assuming a 2-dimensional model strongly reduces the necessary computing time. The simulation can be performed using a commercially available simulation program such as BeamPROP by RSoft.
Preferably in the simulation model both the core-cladding interface and the cladding-air interface are considered. This preferably includes the two interfaces for both fibres. Chiang (Opt. Lett. 12, 431-433(1987)) demonstrated that the effect of the core-cladding interface of the respective fibre is not negligible. Neglecting this interface would lead to intolerable errors. In addition a parabolic taper shape is assumed and the glass volume in the simulation model is conserved to calculate the diameter of the taper waist. This taper waist depends on the taper elongation which is also called extension and on the so called hot zone Δz (W. K. Burns, M. Abebe, and C. A. Villarruel, Appl. Optics 24, 2753-2755 (1985)). The hot zone corresponds to the region which is softened during the heating process of the FBT method.
These assumptions have been verified experimentally by pulling various tapers with different taper elongations. By this pulling also the length of the hot zone has been determined. A fitting of the experimental data lead to a Δz≈7 mm. The diameter of the separation of the cores is assumed to be directly proportional to the respective diameter of the cladding, which can preferably be experimentally verified by SEM images of the taper cross section at the cleaved taper waist.
Preferably a fusion aspect ratio F can be implemented in the simulation model to take into account the overlap of the fibres during the fabrication process. In the case of an asymmetric coupler the diameter of the tapered pump fibre and the tapered and/or pre-tapered signal fibre differ. Performing simulations with such a model leads to a specific value for the pre-taper parameter which has been shown to be a quite good approximation of the optimal value.
Of course, the optimal value of the pre-taper parameter can also be determined experimentally by comparing the coupling efficiencies of coupling arrangements with different pre-taper parameters. It can be especially advantageous to use a simulation model to roughly estimate the pre-taper parameter by performing simulations and to vary the estimated pre-taper parameter slightly in an experimental way. Due to the assumptions and estimations of the simulation model, the optimum pre-taper parameter can slightly differ between the simulations and experiments. In order to maximize the achievable coupling ratio, the performed pre-tapering was optimized by slightly varying and adjusting the experimentally applied pre-taper amount.
In a preferred embodiment of the present invention both the pump fibre and the signal fibre are twisted and fused with a special high-temperature flame. During the fusing process the fibre-pair consisting of the pump fibre and the signal fibre is simultaneously pulled at a slow speed in order to achieve a smooth adiabatic taper.
In a preferred embodiment of the present invention an output at the fibre ports is monitored online during the fabrication process. This means that during the tapering of the pump fibre and the signal fibre during the FBT method the coupling ratio or coupling strength is monitored. Due to the real-time monitoring the pulling process can be stopped at the desired target coupling ratio and no detailed knowledge about the extension of the tapering is needed.
A coupling arrangement according to the present invention is a coupling arrangement for coupling light of a second wavelength from a pump fibre into a signal fibre, wherein the pump fibre and the signal fibre are different from one another and wherein the propagation constants of the pump fibre and the signal fibre match in an interactive region.
Preferably, the signal fibre is a single-mode fibre for light having the first wavelength but is a multimode fibre for light having the second wavelength,
Preferably the pump fibre is a single-mode fibre for light having the second wavelength. In a still preferred embodiment the pump fibre is a multimode fibre for light having the first wavelength.
The matching of the propagation constants in the interactive region leads to a very efficient transfer of power from the pump fibre into the signal fibre. Hence a successful multiplexing of the two light fields with a high coupling ratio is achieved.
Preferably the first wavelength and the second wavelength are between 400 nm and 2300 nm, preferably between 400 nm and 2100 nm, more preferably between 633 nm and 2000 nm, yet more preferably between 795 nm and 2 μm. In this case the coupling arrangement can be used to pump Thulium doped fibre lasers.
The achieved coupling ratio is preferably larger than 70%, more preferably larger than 80%, and especially preferably larger than 85%. In very advantageous embodiments the coupling ratio is larger than 90%. This means that more than the respective amount of the pump light, which is the light at the second wavelength guided in the pump fibre, is coupled into the signal fibre. The same values hold for the transmission of the coupling arrangement. In this context the transmission of the coupling arrangement is to be understood as the percentage of the single-mode guided light of the first wavelength in the signal fibre which passes the coupler and still is guided in the signal fibre. A combination of these two parameters leads to a coupling arrangement in which most of the light from the pump fibre is transferred into the signal fibre while most of the light in the signal fibre stays in the signal fibre and is not transferred into the pump fibre. A sufficient combination is for example a coupling efficiency of more than 70% while the transmission is higher than 80%.
An all-fibre core pumped rare earth doped amplifier comprises a coupling arrangement according to the present invention. The amplifier preferably consists of a rare earth doped fibre, a single mode pump diode and a cw seed source. In a preferred embodiment the single-mode pump diode and the cw seed source operate at wavelengths of 795 nm and 1980 nm, respectively. Preferably the amplifier is a Thulium doped fibre (TDF) amplifier. However it is also possible to use other rare earth elements, such as Holmium for example to dope the fibre, which has a slightly larger laser wavelength than Thulium.
For all the aforementioned embodiments of the present invention it is possible to choose the second wavelength of the pump light to be smaller than the first wavelength of the light guided in the signal fibre. Of course, it is also possible, that the second wavelength of the pump light is larger than the first wavelength of the light guided in the signal fibre. Fore the usability of the asymmetric coupling arrangement it is important that both the light having the first wavelength and the light having the second wavelength are in the signal fibre after having passed the coupling arrangement. This means, that independent from the wavelength it is important that the light having the first wavelength, which is guided in the signal fibre, stays in the signal fibre, while the light having the second wavelength, which is guided in the pump fibre, is transferred into the signal fibre.
FIG. 1—shows schematically the situation modelled by the simulation model;
FIG. 2—shows the calculated effective refractive index neff of the fundamental mode in different fibres;
FIG. 3—shows results of performed simulations for the coupling ratio as a function of the pre-taper parameter and the extension of the tapering;
FIG. 4—shows simulation results for the power transmission as a function of the extension of the tapering;
FIG. 5—shows experimentally measured power transmission as a function of the extension of the tapering;
FIG. 6—shows a schematic setup for an amplifier according to an embodiment of the present invention;
FIG. 7—shows the gain of the amplifier shown in
FIG. 8—shows a schematic view of a coupling arrangement according to an embodiment of the present invention.
Both fibres 2, 8 are assumed to be fused along a straight line but show taper shape 14 that is assumed to be parabolic. The area shown in
The inset in
At the taper waist the signal fibre 8 has a taper waist diameter Df which is smaller than the diameter Di of the untapered signal fibre 8.
In the following an example is described in which different single-mode fibres for the pump wavelength of 795 nm and the signal wavelength of 2 μm are employed. As the pump fibre 2 the 780-HP with a mode field diameter of 5 μm and a numerical aperture of 0.13 is used, while the signal fibre 8 is a SM2000 with a mode field diameter of 13 μm and a numerical aperture of 0.11. As the fibre parameters differ, the propagation constants of both fibres will not match in the coupling region. So matching by pre-tapering one fibre, in this case the signal fibre 8 is necessary.
First the parameter space has to be confined to save computing time.
Simulation results are depicted in
The simulation reveals a maximum at a pre-taper length of 2.1 mm with a ratio of nearly 90%. Other maxima of the coupling ratio can be observed at higher values of the extension and lower values of the pre-taper length. However, the first maximum is broader and the decay is less steep than those of the other maxima, which facilitates the fabrication of the FFC. In addition to a high coupling ratio of the pump power to the signal fiber 8, a high transmission must be maintained for the signal power in the signal fiber 8. Therefore, we simulated the transmission of the pump and signal power in the signal fiber for a pre-taper length of 2.1 mm and varying extension.
The results for a pre-taper length ptl of 2.1 mm are shown in
Based on these simulation results, FFCs were fabricated, identifying a pre-taper length ptl of 1.8 mm as optimum value.
Due to the present invention it is possible to build an all-fibre core pumped Thulium doped fibre (TDF) amplifier 18 as shown in
As can be seen in
Light coming from the pump diode 24 and the seed source 26 shown in
Commercially available fused fiber couplers or wavelength division multiplexers (WDM) consist of two equal fibers with single-mode guidance in a certain wavelength interval. The lower range is limited by the occurrence of higher order modes and is called second mode cutoff. For SMF28, a commonly used single-mode fiber in telecommunication applications, the second mode cutoff wavelength is located in the range of 1250 nm. WDMs fabricated with this type of fiber are restricted in their operation window to wavelengths higher than this cutoff wavelength. For wavelengths below the cutoff, generally the transversal mode profile is a combination of multiple modes which leads to an ineffective coupling and high loss. To overcome this problem, different fibers with single-mode guidance for the respective wavelength could be employed in order to achieve a multiplexing for wavelengths with huge spacing. However, fiber couplers with different fibers, also called asymmetric fiber couplers due to their differing geometrical parameters in the interactive region, are difficult to realize. Because of the asymmetry in the interactive region the propagation constant of the fundamental mode differs in both fibers. According to the coupled mode theory a complete power transfer is only achievable for equal propagation constants in the interactive region. To realize a fused fiber coupler consisting of two different fibers with single-mode guidance for the respective wavelength with a high coupling ratio, matching of the propagation constants in the interactive region is necessary. By this way, the restriction of using two identical fibers (same parameters) for single-mode fiber components can be overcome and single-mode fibers with differing parameters can be used for the fabrication of single-mode fiber components.
With our developed manufacturing method and fiber component it is possible to multiplex two light fields of the same or different wavelength in an asymmetric fused fiber coupler. In the first step the matching of the propagation constants in the interactive region has to be realized.
L taper elongation
z hot zone
X dimension
Y dimension
Z dimension
Df taper waist diameter
Di diameter
ptl pre-taper length
C coupling ratio
T transmission
neff effective refractive index
2 pump fibre
4 pump fibre core
6 pump fibre cladding
8 signal fibre
10 signal fibre core
12 signal fibre cladding
14 taper shape
16 coupling region
18 amplifier
20 coupling arrangement
22 Thulium doped fibre
24 pump diode
26 seed source
This application claims priority to U.S. Provisional Patent Application Ser. No. 61/588,754, filed on Jan. 20, 2011, and the complete contents thereof is herein incorporated by reference.
Number | Date | Country | |
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61588754 | Jan 2012 | US |