408 IEEE PHOTONICS TECHNOLOGY LETTERS, VOL. 17, NO. 2, FEBRUARY 2005
Dispersion Tuning of a Chirped Fiber Bragg Grating
Using a Multisectional Bending Structure
Jaejoong Kwon and Byoungho Lee, Senior Member, IEEE
Abstract—A new method to adjust the dispersion of a fiber
grating with enhanced flexibility and accuracy is described. The
proposed method involves bending a fiber grating attached on a
metal beam with multisectional bending scheme. The device is
composed of several pairs of bolts which hold the metal beam at
designated deflection positions. Because the curvature induced by
bending defines the local strain, the strain distribution along the
fiber can be tailored by positioning the pairs of bolts according
to designated deflection curve. We demonstrated linear and
quadratic dispersion tuning by using the proposed method.
Index Terms—Gratings, optical fiber communication, optical
fiber devices, optical fiber dispersion, optical fiber filters.
I. INTRODUCTION
C
HIRPED fiber Bragg gratings (CFBGs) have been ac-
tively researched for chromatic dispersion compensation
in optical fiber communication systems. CFBGs have attractive
advantages such as low loss, small footprint, low optical nonlin-
earity, and the simple tuning mechanism involved. The tuning
of a CFBG is done by inducing temperature or strain gradient
along the CFBG after grating fabrication [1]–[9]. Between these
two methods, due to difficulties in precise control and contin-
uous power consumption in temperature distribution control,
a CFBG tuning based on a strain is more widely researched.
The strain control has been done by stretching or bending
a fiber attached on a properly designed supporting structure
[3]–[9]. In the case of the strain gradient-based method, the
shape of the supporting structure defines the strain distribution.
Therefore, once the structure shape is selected, although the
dispersion value can be varied, the order of the dispersion slope
is fixed. We previously introduced tuning methods using a
tapered elastic plate that induces linear–nonlinear chirp on a
fiber grating and switching the dispersion order by using strain
modification blocks [7], [8]. However, even with this method,
the dispersion tuning is limited to the shape of elastic plates.
In this letter, we propose a method to tune the dispersion
of a CFBG with enhanced flexibility by using multisectional
bending scheme. Compared with previous research which are
limited by the shape of supporting structure, the proposed
method is not limited in strain distribution controlling because
the local strain does not depend on the shape of the supporting
structure.
Manuscript received August 10, 2004; revised September 15, 2004. This work
was supported in part by Novera Optics, Palo Alto, CA, USA.
The authors are with the School of Electrical Engineering, Seoul National
University, Seoul 151-744, Korea (e-mail: byoungho@snu.ac.kr).
Digital Object Identifier 10.1109/LPT.2004.839379
Fig. 1. Schematic diagram of the multisectional bending structure.
II. DEVICE DESIGN AND EXPERIMENTAL RESULTS
When a straight uniform metal beam is bent and the action is
elastic, the bending curve is an arc of a circle of radius . The
strain distribution along the surface of the beam is given by
(1)
where , , , , and are local strain, bending angle,
length change, local radius, and distance between the surface
and neutral surface. Therefore, if a fiber is attached on the sur-
face of the beam, the strain along the fiber axis is inversely
proportional to the local radius . The curvature of the beam
with deflection can be expressed as [10]
(2)
In the case of bending with small angle ( ),
(2) can be approximated as
(3)
From (1) and (3), we can notice that the strain distribution
along a fiber attached on a bent beam is defined by the second
derivative of the beam deflection. Therefore, we can obtain the
desired strain distribution by properly deflecting the beam.
Fig. 1 shows the schematic diagram of the proposed method
to deflect the supporting metal beam more precisely and flexibly.
The device is composed of a CFBG attached on a metal beam
and several pairs of bolts to bend the beam. Each pair of bolts
can be moved separately, as shown in Fig. 1. The two pairs of
bolts at the sides have flat tips so they can hold the beam tightly
without beam bending. The bolts within mid-section have sharp
tips so that they can hold the beam at specific position and allow
the beam bending. Therefore, by positioning the joint points of
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