Method for characterizing mode group properties of multimodal light traveling through optical components
10337955 ยท 2019-07-02
Assignee
Inventors
- Franciscus Johannes Achten (Tilburg, NL)
- Denis Molin (Draveil, FR)
- Pierre Sillard (le Chesnay, FR)
- Marianne Bigot-Astruc (Janvry, FR)
Cpc classification
G01J9/00
PHYSICS
G01M11/338
PHYSICS
G02B6/0288
PHYSICS
International classification
G01N21/00
PHYSICS
G01J9/00
PHYSICS
Abstract
The invention concerns a method for characterizing mode group properties of multimodal light traveling through an optical component, comprising: providing a Mode Group Separating optical fiber in an optical path between a light source and said optical component; launching reference pulses of light with a wavelength t from said light source through said Mode Group Separating optical fiber into said optical component at discrete intervals between a core center and a core radius of said fiber.
The Mode Group Separating optical fiber is a multimode fiber with an -profile graded index core with an -value chosen such that said fiber satisfies the following criterion at the wavelength t:
where: is a time delay difference between consecutive mode groups; L is a length of said fiber; T.sub.REF is a Full Width at Quarter Maximum of said reference pulses.
Claims
1. A method for characterizing mode group properties of multimodal light traveling through an optical component, wherein said method comprises the steps of: providing a Mode Group Separating optical fiber (5) in an optical path between a light source (1) and said optical component (8); launching reference pulses of light with a wavelength .sub.t from said light source (1) through said Mode Group Separating optical fiber (5) into said optical component (8) at radial offsets between a core center and a core radius of said Mode Group Separating optical fiber; detecting a light signal output by said optical component (8); wherein said Mode Group Separating optical fiber is a multimode fiber with an -profile graded index core with an -value chosen such that said Mode Group Separating optical fiber satisfies the following criterion at the wavelength .sub.t:
2. The method according to claim 1, comprising: measuring a Dispersion Modal delay profile for said Mode Group Separating optical fiber, called a reference DMD profile; measuring a Dispersion Modal delay profile at the output of said optical component, called a resulting DMD profile; comparing said reference DMD profile and said resulting DMD profile in order to characterize the mode group properties of multimodal light traveling through said optical component.
3. The method according to claim 1, wherein said Mode Group Separating optical fiber satisfies the following criterion at the wavelength .sub.t:
4. The method according to claim 1, wherein said wavelength .sub.t is between 800 nm and 1500 nm.
5. The method according to claim 1, wherein said Mode Group Separating optical fiber has a core diameter of 50 m 2.5 m and a numerical aperture NA=0.2 0.015, and wherein:
(,)=p00+p10*+p01* +p11**+p02* .sup.2 with: p00 between 1.461 and 1.116 p10 between 0.001516 and 0.00128 p01 between 1.061 and 1.317 p11 between 0.0006583 and 0.0007706, and p02 between 0.3125 and 0.2581.
6. The method according to claim 5, wherein: p00 =1.288 p10 =0.001398 p01 =1.189 p11 =0.0007145 p02 =0.2853.
7. The method according to claim 1, wherein said Mode Group Separating optical fiber is a Few Mode optical fiber comprising an optical core having a radius R.sub.1 and a maximal refractive index n.sub.0 and an optical cladding surrounding the optical core, said optical cladding having at its outer edge a refractive index n.sub.Cl, wherein said optical cladding comprises an inner cladding layer directly surrounding said optical core, with an inner radius R.sub.1 and an outer radius R.sub.2 R.sub.1, said inner cladding layer having a constant refractive index n.sub.2=n.sub.Cl, and a region of depressed refractive index n.sub.trench,called a trench, surrounding said inner cladding layer, said trench having an inner radius R.sub.2, with R.sub.2 R.sub.1, and an outer radius R.sub.3, with R.sub.3 >R.sub.2.
8. The method according to claim 7, wherein:
(,) =p00 +p10*+p01*+p11**+p02*.sup.2 with : p00 between 1.947 and 1.604 p10 between 0.001977 and 0.001743 p01 between 1.389 and 1.644 p11 between 0.0009262 and 0.001038, and p02 between 0.3776 and 0.3235.
9. The method according to claim 8, wherein: p00=1.776 p10=0.00186 p01=1.517 p11=0.000982 p02=0.3505.
10. The method according to claim 1, wherein L=550 m and T.sub.REF=40 ps.
11. The method according to claim 1, wherein said optical component comprises: a Variable Optical Attenuator (VOA); an optical fiber; a coupler; or a detector.
12. The method according to claim 1, comprising: collecting light output by said optical component into a second Mode Group Separating optical fiber; and wherein said second Mode Group Separating optical fiber is a multimode fiber with an -profile graded index core with an -value chosen such that said Mode Group Separating optical fiber satisfies the following criterion at the wavelength .sub.t:
Description
5. BRIEF DESCRIPTION OF THE DRAWINGS
(1) The invention can be better understood with reference to the following description and drawings, given by way of example and not limiting the scope of protection, and in which:
(2)
(3)
(4)
for a multimode optical fiber according to an embodiment of the invention, for two consecutive mode groups with normalized pulse power;
(5)
(6)
(7)
for a multimode optical fiber according to an embodiment of the invention with a length L=550 m and a FWQM of the reference pulse T.sub.REF=40 ps;
(8)
(9)
(10)
(11)
(12)
(13)
(14)
(15)
(16)
(17)
(18)
(19) The components in the figures are not necessarily to scale, emphasis instead being placed upon illustrating the principles of the invention.
6. DETAILED DESCRIPTION
(20) The general principle of the invention relies on the use of a specifically designed Mode Group Separating optical fiber, which is inserted on the optical path between a light source and an optical component under test, and which has the ability to separate the Mode Groups in time domain before or after these are launched into the optical component under test. As a consequence, the behavior of these Mode Groups while passing through the optical component may be studied individually from each other.
(21) Embodiments of the invention thus provide a simple and valuable method for characterizing Mode Groups properties of multimodal light traveling through optical components. The experimental results thus achieved may be used for improving the design of multimode and few-mode optical fibers, as well as the design of optical components.
(22)
(23) As stated previously in this document, in an optical fiber, a certain number of modes can propagate. The lowest-order LP mode is LP.sub.01, also called the fundamental mode. Each mode is associated with a particular propagation constant. In typical multimode fibers, these modes can be grouped together in sets of modes with the same or very similar propagation constant, the principal mode groups. The modes within a certain principal mode group have very similar properties. Therefore, modes are often treated in terms of mode groups instead of individual modes. The number of modes increases with mode group number m: while the lowest-order mode groups only consist of one mode, the higher-order mode groups will contain several modes. In principal modes groups with modes of identical propagation constants, the mode delay will be generally the same for each mode. This is the reason why they are often treated as one mode group with a single mode delay for all modes.
(24) The difference of time of flight between consecutive mode groups is, at first order, function of the -value, the numerical aperture (or delta of the core), the core diameter and the wavelength of operation. At second order, this difference of time of flight between consecutive mode groups is function of the dopant content within the fiber core (depending on whether the core is fully doped with Germanium, fully doped with fluorine or whether it exhibits a germanium and fluorine co-doping).
(25) According to an embodiment of the invention, these parameters are adapted so that the mode group can be separated in time at DMD measurements. This condition can be expressed as follows:
(26)
(27) where is the time delays difference between consecutive mode groups in ps/m, L is the minimum fiber length to be used in the DMD measurements, expressed in m, T.sub.REF is the FWQM (Full Width Quarter Maximum) of the reference pulse used in the DMD measurements, expressed in ps, and X is a threshold that is greater than 4 and more preferably larger than 5.
(28) Throughout this document, the terms DMD measurements designate measurements of the delay due to the modal dispersion, known under the acronym DMD for Dispersion Modal Delay graphical representation. The DMD measurement procedure has been the subject of standardization (IEC 60793-1-49 and FOTP-220, each of which is hereby incorporated by reference in its entirety) and is also specified in Telecommunications Industry Association Document no. TIA-455-220-A, which is hereby incorporated by reference in its entirety. The DMD metric is expressed in units of picoseconds per meter (ps/m) so that the total delay is normalized by fiber length.
(29) A DMD graphical representation is obtained by injecting a light pulse having a given wavelength .sub.0 at the center of the fiber and by measuring the pulse delay after a given fiber length L; the introduction of the light pulse of given wavelength .sub.0 being radially offset to cover the entire core of the multimode fiber.
(30)
(31)
for a multimode optical fiber according to the invention, for two consecutive mode groups with normalized pulse power. On
(32) By solving the scalar wave equation (as described in High-Speed Transmission in Multimode Fibers, by Ronald E. Freund et al., Journal of Lightwave Technology, Vol. 28, No. 4, Feb. 15, 2010, which is hereby incorporated by reference in its entirety) through numerical simulation, one can approximate as follows, for a 50 m MMF with a numerical aperture NA=0.200:
(,)=p00+p10*+p01*+p11**+p02*.sup.2 with: p00=1.288 (1.461, 1.116) p10=0.001398 (0.001516, 0.00128) p01=1.189 (1.061, 1.317) p11=0.0007145 (0.0006583, 0.0007706) p02=0.2853 (0.3125, 0.2581),
and where the values between brackets ( ) correspond to the 95% confidence bounds.
(33) Such an approximation may be graphically displayed as shown on
(34) Making the assumption that the length of MGS optical fiber used is L=550 m, with a FWQM of the reference pulse T.sub.REF=40 ps, one may derive the abacus displayed on
(35)
of the criterion described above. The number set on each curve indicates the value of
(36)
ranging from 4 to 10.
(37) As may be observed on
(38) According to other embodiments of the invention, the Mode Group Separating optical fiber may also be a Few Mode Fiber, also known as FMF.
(39)
(40) In the embodiment of
(41)
(42) where: r is a variable representative of the radius of the optical fiber, r.sub.1 is the optical core radius, is the normalized refractive index difference, with
(43)
(44) The optical core is directly surrounded by an optical cladding, which comprises a depressed-index ring, also called a trench, with inner radius r.sub.2 and outer radius r.sub.3, and an outer cladding layer with inner radius r.sub.3. In some embodiments such an outer cladding layer comprises pure silica glass (SiO.sub.2) and its refractive index n.sub.Cl is hence that of silica glass. This trench has a negative refractive index difference dn.sub.3=n.sub.trenchn.sub.Cl with respect to the refractive index of the outer cladding.
(45) The cladding also includes an inner cladding layer, with inner radius r.sub.1 and outer radius r.sub.2. The trench is hence spaced apart from the core by the inner cladding layer. The inner cladding layer has a constant refractive index n.sub.2, such that n.sub.2=n.sub.Cl.
(46) In an exemplary embodiment of the invention, such a FMF presents the following features:
(47)
(48) Like previously described in relation to
(,)=p00+p10*+p01*+p11**+p02*.sup.2 with: p00=1.776 (1.947, 1.604) p10=0.00186 (0.001977, 0.001743) p01=1.517 (1.389, 1.644) p11=0.000982 (0.0009262, 0.001038) p02=0.3505 (0.3776, 0.3235)
and where the values between brackets ( ) correspond to the 95% confidence bounds.
(49) Such an approximation may be graphically displayed as shown on
(50) Making the assumption that the length of MGS optical fiber used is L=550 m, with a FWQM of the reference pulse T.sub.REF=40 ps, one may derive the abacus displayed on
(51)
of the criterion described above. The number set on each curve indicates the value of
(52)
ranging from 4 to 10.
(53) As may be observed on
(54)
(55) In the embodiment described hereafter, the Mode Group Separating (MGS) optical fiber is a multimode fiber with an -profile graded index core with an -value much lower than conventional multimode fibers, which generally show an -value close to 2. Actually, the -value of the MGS optical fiber is close to 1.6. Moreover, such a fiber has a core diameter of 50 m2.5 m and a numerical aperture NA=0.2000.015. As shown on the abacus of
(56)
for any wavelength between 850 nm and 1500 nm.
(57)
(58) A Ti:Sapphire laser of wavelength =850 nm is used as a light source for obtaining the DMD profile of the MGS optical fiber. The laser pulse is launched to the input side of the MGS fiber by means of a 5 m launch fiber (i.e. the launch spot size has a 5 m diameter). The launch fiber's position is changed in steps of 1 or 2 m, starting at the center of the MGS optical fiber core, and ending at the outer radius of the MGS optical fiber core. Such a DMD measurement complies with the specifications in IEC 60793-2-10 and is hence fully standardized.
(59) A digital signal analyzer detects the pulses leaving the MGS optical fiber. The plotted pulses are normalized: the outer pulse, launched at 25 m from the core center has maximum noise because the pulse travels at the edge of the core, and is partly launched in the non-guiding cladding of the MGS fiber. As a consequence, less pulse power reaches the detector.
(60) The plot on
(61) As may be observed, from the first to the 13th Mode Group, all Mode Groups show a constant distance in time position. From the 14th Mode Group (encircled on
(62) However,
(63) These figures focus on an embodiment of the invention, in which the Mode Group selective attenuation of a Variable Optical Attenuator is investigated.
(64) Variable Optical Attenuators, also known as VOA, are commonly used for purpose of Bit Error Rate (BER) measurement of an optical fiber. However, it is known that VOAs show a Mode Group selective attenuation. Such a Mode Group selective attenuation of the VOA must be known and taken into account to measure BER of an optical fiber. If not, the conclusions drawn on the fiber quality may be altered and mixed with the VOA characteristics.
(65)
(66) Such a system comprises a laser 1, which is a Ti:Sapphire laser at a wavelength =850 nm. A coupler 2 achieves the coupling of the laser bundle output by laser 1 to a launch fiber 3. The launch fiber 3 has a 5 m diameter spot and is associated to a scan unit 4, in order to achieve the launching of pulses into the Mode Group Separating optical fiber 5. The launch position is offset by 1 m or 2 m steps, starting from the core center to the core outer radius of the MGS fiber 5.
(67) An optical component 8 under test is disposed on the optical path between the output of the MGS fiber 5 and a detector 10. Two couplers 6 and 7 allow coupling of light into and out of the optical component 8. As will be described in greater detail below, in an exemplary embodiment of the invention such an optical component is a VOA.
(68) However, it must be noted that, if there is no optical component in box 8, the system of
(69)
(70) The resulting DMD profile can be compared with the DMD profile of the MGS optical fiber 5 shown on
(71)
(72) Curve 91 shows the pulse power as a function of the launch position for the MGS optical fiber 5. Curve 92 shows the pulse power as a function of the pulse launch position for the DMD light pulses, which have travelled through both the MGS optical fiber 5 and the VOA 8. The shaded area, which appears between curves 91 and 92, is a measure for the Mode Group selective attenuation of the VOA.
(73) According to an embodiment of the invention, the DMD measurement carried out with use of the MGS optical fiber also allows generating the ratio of powers per individual Mode Group, thanks to the fact that the Mode Groups in the DMD profile are temporally apart from each other.
(74)
(75) In the same way,
(76) The loss (expressed in dB) per Mode Group Number inside the VOA can be computed from the Mode Power Distributions (MPD) of the light entering and leaving the VOA respectively shown on
(77) As may be observed, the loss per Mode Group on average is 6 dB, but higher order Mode Groups are attenuated more. This could be a typical consequence of non-ideal alignment of the optical components, since Mode Groups that travel near the edge of the core are lost more easily.
(78) In an alternative embodiment of the invention, a second Mode Group Separating MMF may be added to the experimental setup of
(79) Such a second MGS could help analyze the modes coupling phenomenon, which takes place within the optical component. New modes, induced by mode coupling, could thus be observed.
(80) In yet another embodiment of the invention, the experimental setup of
(81) It must be noted that, for all the embodiments described above, critical parameters are the accuracy of the refractive index profile of the MGS special fiber, the choice of length of this fiber and the positional accuracies of the launch fiber scan unit and the couplers in the system of
(82) Although the embodiment described above focuses on testing a VOA used within BER equipment, many other embodiments may be considered, such as for example embodiments allowing the qualification of various optical detectors used with SML DMD qualification, which is a most important measurement to qualify OM4 fibers.
(83) New types of optical fibers may also be qualified using the method according to embodiments of the invention, such as Few Mode fibers and fibers that suffer from Microbend.