IEEE Photonics Journal Simultaneous Measurement of MDL and DMGD in FMFs
the FMF designing scheme, characterizing FMFs accurately is of great significance. Efficient
techniques that can measure MDL and DMGD conveniently and precisely become an imperative
requirement.
Several techniques for measuring the DMGD in FMF have been proposed, such as optical
low-coherence interferometry (OLCI) technique [9], time-of-flight (TOF) method [10] and spectral
interferometric technique [11]. However, the complicated experimental setups or expensive equip-
ment are required for both the TOF and OLCI, and thus may not be easily accessible. The spectral
interferometric method has a limit to the length of reference arm, which is difficult to measure the
impair m ent parameter of a long FMF. Recently, the microwave-photonic, electrical spectral inter-
ferometry, and coherent-detection-based method with some sophisticated algorithms techniques
[12]–[15] have been demonstrated for characterizing FMFs with good accuracy, which might not be
cost-effective. In terms of MDL measurement, it is essential to separate the propagating modes.
The MDL is always measured with cutback or insertion methods combining mode multiplexers or
mode converters, such as mode couplers or phase plates [16]. But these methods are destructive.
Therefore, some new techniques should be researched to characterize the property of a long FMF
installed in the large-capacity MDM transmission systems. Recently, nondestr uctive technique for
measuring the mode coupling (MC) in the FMFs and multi-core fibers (MCFs) has been proposed
using synchronous multi-channel optical time domain reflectometry (OTDR) [17], [18]. Meanwhile,
the bidirectional OTDR technique has been adapted for FMFs or MCFs to measure mode field di-
ameter (MFD) distribution, relative-index difference, chromatic dispersion (CD) and so on [19]–[21].
However, there have been few reports on OTDR technique for measuring the MDL or DMGD in
FMFs, especially for simultaneous measurement of above two impairments.
In this paper, we propose and experimentally demonstrate method for simultaneously measuring
the MDL and DMGD in the FMFs. The MDL and DMGD can be simultaneously measured with
the proposed method based on analyzing the Rayleigh backscattering amplitudes obtained using
a nondestructive measurement system. The measured MDL and DMGD in 3-mode fiber are about
0.186 dB and 3.581 ps/m between LP
01
and LP
11a
, 0.157 dB and 3.604 ps/m between LP
01
and
LP
11b,
respectively. The experimental results show that the values obtained with the proposed
method agreed well with that obtained with the conventional transmission and TOF methods,
respectively. Moreover, the proposed scheme is scalable to measuring fibers with a large number
of modes.
The rest of the paper is organized as follows: Section 2 discusses the principle for simultaneous
measurement of MDL and DMGD in FMF. In Section 3, the measurement performance of our
proposed method is verified by experiment, and then we compared the proposed method with the
TOF and conventional transmission methods, respectively. Section 4 demonstrates the ability of
proposed method for measuring fibers with large number of modes. Finally, conclusions are drawn
in Section 5.
2. Principle for Simultaneous Measurement of MDL and DMGD
We utilize the Rayleigh backscattering amplitudes obtained with an optical reflectometry technique
to simultaneously measure the MDL and DMGD in FMFs. In order to der ive the equation for mode-
resolved time-dependent amplitudes of Rayleigh backscattering at the front end of the FMF, we
assumed that an optical pulse with a temporal width of T and a peak power P
0
is launched
at z = 0 into mode LP
i
. The time-dependent amplitude of Rayleigh backscattering in mode LP
j
received at z = 0 can be calculated by Eq. (1) [22], [23]. We use subscripts i and j (i, j = 1, 2, 3, ...,
N) to represent the mode labels (01, 11a, 11b...) of FMF, respectively.
P
BS
i,j
(
t
)
= P
0
α
s
B
i,j
¯νT e
−2¯α¯νt
(1)
where ¯ν =
ν
gi
ν
gj
ν
gi
+ν
gj
;¯α =
α
i
+α
j
2
; ν
gi
and ν
gj
are the attenuation coefficients of modes LP
i
and LP
j
,
respectively; α
i
and α
j
are the attenuation coefficients of modes LP
i
and LP
j
, respectively; B
i ,j
is
the overall backscattering capture coefficient, which is quantifies the ratio of the energy coupled
Vol. 11, No. 2, April 2019 7202513