1. Introduction
The harnessing of mechanical interaction in suitably small structures is well-known in silicon
MEMS (microelectromechanical systems) and NEMS (nanoelectromechanical systems) devices [
1H.
G. Craighead, “Nanoelectromechanical
systems,” Science
290(5496), 1532–1535
(2000). [CrossRef] [PubMed]
], and these have achieved considerable impact in a wide range
of applications, e.g. as accelerometers and gyroscopes, and in 2-D optical switching [
2P.
F. Van Kessel, L.
J. Hornbeck, R.
E. Meier, and M.
R. Douglass, “A MEMS-based projection
display,” Proc. IEEE
86(8), 1687–1704
(1998). [CrossRef]
] for displays and reconfigurable optical add-drop
multiplexers. Based on our recent realization of a dual suspended core optical fiber [
3Z. Lian, X. Feng, P. Horak, L. Xiao, Y. Jeong, N.
White, K. Frampton, J. A. Tucknott, H. N. Rutt, D. N. Payne, W. Stewart, and W. H. Loh,
“Optical fiber with dual cores suspended in air,” in The 37th edition of the European
Conference on Optical Communication, Geneva (2011), paper
Mo.2.LeCervin.1.
], we now demonstrate the extension of a MEMS-type
functionality to the fiber platform with potentially far reaching applications in, e.g., sensing
and optical telecommunications.
The standard optical fiber with its basic core and cladding glass structure has been the
workhorse for optical transmission for decades. In recent years, increasingly complex optical
fiber designs involving a microstructured cladding and/or core have been suggested [
4P. Russell,
“Photonic crystal fibers,” Science
299(5605), 358–362
(2003). [CrossRef] [PubMed]
], and corresponding advances in fabrication techniques made
in order to realize them. However, these fiber structures are primarily still targeted at the
optical transmission capabilities of the fiber, e.g. to better control its dispersion profile or
mode area, or reduce transmission losses over specific wavelength regions [
5F. Yu, W. J. Wadsworth, and J.
C. Knight, “Low loss silica hollow core fibers for
3-4 μm spectral region,” Opt. Express
20(10), 11153–11158
(2012). [CrossRef] [PubMed]
]. They are also mechanically quite rigid. Apart from the transmission of
light, optical networks and systems today incur a considerable amount of processing, such as
switching, routing, and buffering of information. Much of this is currently done before or after
the fiber, and predominantly in the electronic domain. The incorporation of some of these
processing functions into the optical fiber would be advantageous, potentially leading not just
to all-optical networks [
6R. Ramaswami and K.
N. Sivarajan, “Routing and wavelength assignment in
all-optical networks,” IEEE/ACM Trans. Netw.
3(5), 489–500
(1995).
], but an integrated “all-fiber”
network. We note that optoelectronic fibers that can incorporate light detection in the fiber
itself have been reported [
7M. Bayindir, F. Sorin, A. F. Abouraddy, J. Viens, S. D. Hart, J.
D. Joannopoulos, and Y. Fink,
“Metal-insulator-semiconductor optoelectronic fibres,”
Nature
431(7010), 826–829
(2004). [CrossRef] [PubMed]
].
We report here the fabrication and demonstration of a nanomechanical optical fiber, where the
core of the fiber does not just simply transmit light, but is also capable of controlled
nanometer-scale mechanical movements. We have fabricated fibers with two movable cores that are
close enough to each other to be optically coupled [
3Z. Lian, X. Feng, P. Horak, L. Xiao, Y. Jeong, N.
White, K. Frampton, J. A. Tucknott, H. N. Rutt, D. N. Payne, W. Stewart, and W. H. Loh,
“Optical fiber with dual cores suspended in air,” in The 37th edition of the European
Conference on Optical Communication, Geneva (2011), paper
Mo.2.LeCervin.1.
] so
that they act as a directional coupler [
8D. Marcuse, Theory of Dielectric Optical
Waveguides, 2nd ed. (Academic Press, 1991).
]. As a proof of
concept of the nanomechanical optical functionality, we demonstrate optical switching of the
light through nanometer-scale movement of one of the cores and the subsequent change of the
optical coupling length. Conversely, such fibers can be used to detect very small changes in the
environment, e.g. pressure or vibration, which will have broad appeal to the field of sensing
[
9D.
C. Abeysinghe, S. Dasgupta, J. T. Boyd, and H. E. Jackson,
“A novel MEMS pressure sensor fabricated on an optical fiber,”
IEEE Photon. Technol. Lett.
13(9), 993–995
(2001). [CrossRef]
]. Sub-micron diameter optical fibers have previously
been fabricated by direct drawing [
10L. Tong, R. R. Gattass, J. B. Ashcom, S. He, J. Lou, M. Shen, I. Maxwell, and E. Mazur,
“Subwavelength-diameter silica wires for low-loss optical wave
guiding,” Nature
426(6968), 816–819
(2003). [CrossRef] [PubMed]
] to yield
stand-alone single core fibers. While attractive for their evanescent field properties,
post-fabrication assembly is required for more complex multi-fiber configurations. The work here
demonstrates that low-loss sub-micron optical fibers can be directly fabricated on a draw tower
with a conventional 125 µm glass cladding for protection, while containing multiple fiber cores
inside the cladding for optical and mechanical interaction.
With such nanomechanical optical fibers we can leverage the manufacturing advantage of optical
fibers, where long device lengths – from hundreds of meters to kilometers - are readily
fabricated by drawing from a fiber draw tower, with low optical transmission losses. Device
lengths can therefore be achieved that are much greater than is possible on a silicon MEMS chip,
and the sensitivity of these fiber-based devices to motion or changes in the environment can be
correspondingly greater. Our results show that such fibers are capable of responding optically
to nanometer movements in the fiber cores. The sensitivity to nanometer displacements of a dual
slab fiber structure has also recently been analyzed theoretically [
11A. Butsch, C. Conti, F. Biancalana, and P. St.
J. Russell, “Optomechanical Self-Channeling of
Light in a Suspended Planar Dual-Nanoweb Waveguide,” Phys. Rev.
Lett.
108(9), 093903 (2012). [CrossRef] [PubMed]
].
2. Fabrication and experimental results
The dual core fibers (
Fig. 1(a)
shows a
schematic graph of the fiber concept) were fabricated using lead silicate glasses. Lead silicate
glasses were chosen because of their lower melting points, which enable the glass extrusion
technique to be adapted to produce the desired dual core preform structure (although the drawn
fiber cross-section differs systematically from that of the preform).
Figure 1(b) shows a centimeter-scale extruded glass preform corresponding to
the conceptual structure.
Fig.
1 (a) Schematic of the dual core nanomechanical optical fiber concept. (b)
Extruded glass preform of the desired structure. (c) SEM photograph of a fabricated dual
suspended core optical fiber; and (d) magnifies of the core structure.
For the extrusion, a glass billet was placed inside an extrusion die and heat applied to raise
the temperature until the glass reached its softening point. The glass was then extruded through
a custom-designed stainless steel die to form the central portion of the fiber preform. The
extrusion die has two slots each with a circular hole in the middle of the slot that on
extrusion produces the two cores in the preform as shown in
Fig.
1(b). The slots were initially designed to be parallel to directly produce straight
glass membranes upon extrusion; however, it proved difficult to extrude the glass through the
die with two parallel slots very close together, due to the high load (nearly half a ton at the
softening temperature of the glass) needed to be applied to the glass during this extrusion
process. The slots were therefore made curved away from each other, to increase the space
between the cores; however, during the fiber drawing process, the curved glass membranes
straighten up due to surface tension forces, resulting in straight glass membranes for the
fiber. For Schott F2 glass, the extrusion furnace temperature was 590°C, and the extrusion was
conducted at a constant speed; the extrusion rate through the die was 0.052 mm per minute
(taking 9 hours to extrude the 30 mm length glass billet). The slow extrusion speed was
necessary to enable the glass to flow properly through the narrow channels of the die, in order
to minimize die swell and preform distortion. The extruded preform has an outer diameter of 16
mm.
The preform was placed on a fiber draw tower and caned down to 1 mm in diameter. The dual core
cane was then placed inside a Schott F2 glass jacket tube (used as the cladding for the dual
core fiber), and finally drawn into the desired fiber, at a temperature of 730 °C. The
relatively low fiber drawing temperature was chosen to prevent the fiber cores from distorting
(elongating) further.
The dual movable core fiber fabricated using lead silicate glass is shown in
Fig. 1(c) and
1(d).
Although the cores are circular in the glass preform, they are elongated during fiber drawing.
This is due to surface tension forces which become very substantial at these small dimensions,
and careful control of the drawing conditions during the fiber draw process is required. The
sub-micron sized cores and core separation dimensions are chosen so that the two cores will be
optically coupled through their evanescent fields. Each core is held suspended in air from the
outer glass cladding by two glass membranes which are ~200 nm thick, so that the cores can move
freely in the direction perpendicular to the membranes.
For direct verification of the nanomechanical optical functionality of these fibers we
fabricated an additional channel through the fiber cladding that provides direct fluid access to
the environment from the open hole adjacent to one core, by etching through a portion of the
cladding wall.
For creating an access channel to the core, the F2 glass jacket tube (used as the cladding in
the preform) was first modified by having a 0.95 mm wide slot cut vertically from the surface at
one side of the tube through to the center. The dual core cane was placed inside this slotted
tube to form the fiber preform, and drawn into fiber (
Fig.
2(a)
and
2(b)). To remove the
remaining thin glass wall separating the core from the outside environment, a buffered
hydrofluoric acid etch was applied. The etch rate for the thin glass wall is 0.25 ± 0.01 µm
/min, to yield the final fiber structure shown in
Fig.
2(c). Creating this access channel allows us to apply direct pressure selectively to one
core, and move it in a controlled manner to achieve optical switching. The optical propagation
losses of the fiber were experimentally determined using the fiber cut-back method; the results
are displayed in
Fig. 3
.
Fig.
2 SEM photographs of a dual core fiber with a direct access channel to one
of the cores for pressure actuation. (a) Fiber structure after drawing. (b) Close-up of the
fiber core structure. The displacement between the two cores is 2 µm. Cores are 0.8 µm × 2.7
µm in size. (c) Fiber core structure after the remaining wall of the cladding has been etched
away.
Fig.
3 Optical propagation loss measurements of the dual core fiber in
Fig. 2, using the fiber cut-back measurement method. The
losses for both horizontal (TE) and vertical (TM) polarization modes, and at two different
wavelengths (1550nm and 1047nm) were measured. Cut back data point: ■ 1047 nm, TE; ○ 1047 nm,
TM; ▲ 1550 nm, TE; ◊ 1550 nm, TM. Curve fittings: solid blue: −1.77 dB/m, 1047 nm, TE; dashed
blue: −2.92 dB/m, 1047 nm, TM; solid red: −2.54 dB/m, 1550 nm, TE; dashed red: −3.29 dB/m,
1550 nm, TM.
The experimental configuration for demonstrating nanomechanical optical switching in the fiber
is shown in
Fig. 4
(left). The fiber length was 43 cm, with a 3 cm section in the
middle of the fiber etched through to gain direct access to one core. The etched part of the
fiber was placed in an in-house constructed pressure chamber. Light from a 1550 nm wavelength
pigtailed laser diode (2mW) was collimated, sent through a polarizer, and focused using a 60x
objective into one of the fiber cores. The polarization state of the light was parallel to the
long elliptical axis of the core; we select this polarization state as it yields a lower optical
propagation loss (2.54 dB/m) than with the orthogonally polarized state (3.29 dB/m). For the
0.4m length of fiber used, the fiber loss is therefore ~1dB.
Fig.
4 (Left) Experimental set-up with dual core fiber to show optical
switching by pressure actuation on one core. Dual core fiber of length 43 cm used for test. A
3 cm section of the fiber in the middle is etched for direct pressure access to one core. The
in-house designed pressure chamber has one pipe connected to a nitrogen gas line and another
to a pressure gauge. (Right) Calculated pressure profile inside the pressurized hole of the
dual core fiber.
The light output from the dual core fiber was imaged via a 100x objective onto a near-infrared
video camera (Electrophysics MicronViewer 7290A), and monitored in real time.
Figure 5
(top, (a) to (k)) shows the change in the light intensity
pattern observed on the IR video camera as the pressure in the chamber is increased. The optical
intensity shifts from one core to the other and back again as the pressure continually
increases, exhibiting an optical response that is periodic with pressure (
Fig. 5 (bottom)). Such a sinusoidal behavior is in fact expected from coupled
mode theory: For the small core displacements observed in our fiber (a few nanometer, as
discussed below), the displacement depends linearly on the applied pressure, which in turn leads
to a linear change of the optical core-to-core coupling. The resulting change of the modal beat
length thus leads to periodic switching with pressure over a fixed fiber length. The periodicity
can be seen most clearly from the plot, where the horizontal axis is the applied pressure in
mbar and the vertical axis is the normalized optical output, defined as the power from one core
divided by the sum of the power from both cores. The pressure period (for the light to switch
from one core to the other and back again) is approximately 100 mbar. A maximum 248 mbar was
applied to the fiber, spanning 2.5 periods. This switching behavior is readily repeatable; by
ramping the pressure up and down, the same optical intensity pattern was observed for a given
pressure.
Fig.
5 (Top) Optical intensity observed on the infrared video camera for
different applied pressures. (Bottom) Plot of intensity in one core as a function of applied
pressure, showing the periodic switching behavior. ○ Hollow circle: normalized intensity of
the upper core; □ hollow square: normalized intensity of the lower core; solid line (blue):
curve fitting to the upper core; solid line (black): curve fitting to the lower
core.
3. Analysis
The experimental data connecting the optical behavior of the fiber to the applied pressure
allows us to determine the amount of movement that was imparted to the fiber core for optical
switching. The mechanical and optical behavior of the suspended cores can be modeled knowing the
refractive index (1.6 at wavelength of 1550 nm) and Young’s modulus (57 GPa) for the lead
silicate (Schott F2) glass that the fiber was made from. The physical dimensions of the fiber
cores and the glass membranes suspending them were obtained from SEM photos (
Figs. 2 and
6
(left)), and the optical modes supported by
the fiber are numerically calculated using a full vectorial Finite Element Method (Comsol
Multiphysics®).
Fig.
6 (Left) The red curves in the SEM photo denote the geometry used in the
modeling calculations. (Right) Calculated TE (horizontal polarization) and TM (vertical
polarization) modes of a single core in the dual core fiber (normalized to the maximum of the
TE00 mode).
At these dimensions, each core of the fiber is multimoded, with two low loss TE (horizontal
polarization) modes and two TM (vertical polarization) modes; the optical intensity
distributions calculated for these modes are shown in
Fig.
6 (right). Single mode operation will require reducing the core ellipticity to achieve
smaller core dimensions; this is a challenging problem for the fabrication process and a subject
of continuing investigation. The optical switching behavior can be viewed as an interference
effect of light propagating in the “supermodes” of the compound dual-core fiber structure, which
consist of quasi-even and quasi-odd superpositions of the individual core modes [
8D. Marcuse, Theory of Dielectric Optical
Waveguides, 2nd ed. (Academic Press, 1991).
]. We note that TE mode operation as well as TM mode operation
is possible, with the latter showing larger losses as discussed above but generally slightly
stronger core-to-core coupling.
The simulations also showed that the corresponding modes of the two cores have slightly
different propagation constants (effective index difference ~3x10
−4 for the
fundamental modes), probably due to the distortion of the fiber geometry by the introduction of
the additional channel required for the pressure-switching experiment. This phase mismatch
between the cores prevents perfect optical coupling and is currently the limiting factor to the
extinction ratio shown in
Fig. 5 of 8 dB.
The wavelength and polarization dependent fiber propagation losses α
fiber (λ) for
these modes can be estimated by considering the net loss as the sum of the bulk glass loss and
surface optical scattering:
For the lead silicate glass used, the bulk material loss
α
glass (λ) is relatively high: 1.75 dB/m at 1550nm and 0.35 dB/m at 1 micron (Schott
F2 glass data sheet). The surface optical scattering loss α
surface (λ) can be
estimated using the
F-factor quantifying the overlap between the optical mode
with the glass surface, normalized to the total power in the mode [
12P. Roberts, F. Couny, H. Sabert, B. Mangan, D. Williams, L. Farr, M. Mason, A. Tomlinson, T. Birks, J. Knight, and P. St J
Russell, “Ultimate
low loss of hollow-core photonic crystal fibres,” Opt.
Express
13(1), 236–244
(2005). [CrossRef] [PubMed]
]:
At the wavelength of 1550 nm, the
F-factor
for the fundamental TE and TM modes are 1.58 x 10
6/m and 2.96 x 10
6/m
respectively. We note that the surface optical scattering for the TM mode is almost twice that
for the TE, because the electric field in the TM mode is stronger at the air interface of the
waveguide core [
13V. R. Almeida, Q. Xu, C. A. Barrios, and M. Lipson,
“Guiding and confining light in void nanostructure,”
Opt. Lett.
29(11), 1209–1211
(2004). [CrossRef] [PubMed]
]. At 1 micron wavelength, the TE and
TM modes are more confined within the core, and therefore yield smaller
F-factors of 0.97 x 10
6/m and 1.7 x 10
6/m,
respectively.
The results of the loss calculations are shown in
Table
1
, and
compared with the corresponding cut-back loss measurements of
Fig. 3. There is good agreement with the experimentally determined losses. With the use
of glasses with lower bulk material losses, transmission losses at 1550 nm should be less than 1
dB/m, and will be limited only by surface scattering.
Table
1 Optical Fiber Loss Comparison Between the Experimental Measurements
and the Losses Calculated from the Numerical Model
| Wavelength | TE(measured) | TE(calculated) | TM(measured) | TM(calculated) |
|---|
| 1.55 μm | 2.54 | 2.50 | 3.29 | 3.15 |
| 1 μm | 1.77 | 1.84 | 2.92 | 2.96 |
The mechanical response of the fiber to applied pressure was also calculated. From the
classical Euler-Bernoulli beam equation, we note that the mechanical motion will be a strong
function of the dimensions of the glass membrane structure, scaling as
(h4/d3E)
p, where h and d are the height and
thickness of the membrane respectively, E the Young’s modulus for the glass,
and p the applied pressure. Accurate numerical modeling using the Finite
Element Method and including the elliptical core feature confirms this; more importantly, the
calculations show that the fiber core moves by 0.08 nm for each 1 mbar change in pressure
applied to it.
For the experimental configuration used in
Fig. 4
(left), where both fiber ends are open to the atmosphere, the pressure applied at the center of
the fiber decreases approximately linearly with distance to the end of the fiber, as confirmed
by a finite element fluid dynamics simulation (
Fig. 4,
right). Using this pressure profile, the field profile for the first TE optical mode, and the
mechanical response of the fiber, the modeling calculations show that optical switching from one
core to the other occurs for 98 mbar in applied pressure. This is in reasonable agreement with
the experimentally observed value of ~50 mbar. The slightly lower pressure values found
experimentally for achieving optical switching may be due to the thin glass membranes being
weaker - from surface defects such as micro- or nano-cracks - than was assumed in the
calculations, which used the bulk Young’s modulus for the glass. 98 mbar of applied pressure
corresponds to just 8 nm of movement of the core for this fiber. We note that for this
calculation, we have taken into account the change in the refractive index of the nitrogen on
one side of the core due to the increase in pressure, equal to 2.8 x 10
−5 per 100
mbar [
14M. J. Weber, Handbook of Optical
Materials, (CRC Press, 2003).
]. Although this change in refractive index of
the gas is small, the effect on the optical behavior is not insignificant when compared to the
nanometer-level motion of the core, and accounts for ~10% of the optical switching response
(i.e. the core would have to move by 7 nm, instead of 8 nm, for optical switching to take place
in the absence of the pressure-related index change). On the other hand, the results are rather
insensitive to temperature fluctuations, with a shift of the interference fringes by ~0.25% per
Kelvin. For the low optical powers used (2mW), we therefore expect the temperature contribution
to the observed optical behavior to be minor at best.
The agreement between the theory and the experimental data provides validation to our concept
of the dual core nanomechanical fiber. With our numerical model, we can consider the potential
of such fibers. The mechanical resonance frequency of the fiber structure is on the order of 1 –
10 MHz (for already achieved ranges of dimensions,
Figs.
1(c),
1(d) and
Fig. 2(a) to
2(c)), suggesting that µs switching
times are possible. The resonance frequency
f can be optimized with the fiber
dimensions, scaling with the thickness and height of the glass membranes as
f
~
d/
h2.
While we have used the application of gas pressure on the core for the initial switching
demonstration of this fiber, there are a number of other - faster - actuation mechanisms that
can potentially be used, for example, electrostatic actuation which is a common approach in
silicon MEMS devices [
15K. Van Acoleyen, J. Roels, P. Mechet, T. Claes, D. Van
Thourhout, and R. Baets,
“Ultracompact phase modulator based on a cascade of NEMS-operated slot
waveguides fabricated in silicon-on-insulator,” IEEE Photon.
J.
4(3), 779–788
(2012). [CrossRef]
]. These nanomechanical optical
fibers also offer considerable potential towards realizing functionalities and applications that
have proved hard to achieve so far, such as self-configurable or “smart fibers”, and optical
buffers [
16F. Xia, L. Sekaric, and Y. Vlasov,
“Ultracompact optical buffers on a silicon chip,” Nat.
Photonics
1(1), 65–71
(2007). [CrossRef]
]. It has been previously pointed out that
self-optical switching can be accomplished using the optical force from the propagating signal
to move the waveguide itself [
17M. L. Povinelli, M. Loncar, M. Ibanescu, E. J. Smythe, S. G. Johnson, F. Capasso, and J.
D. Joannopoulos, “Evanescent-wave bonding between
optical waveguides,” Opt. Lett.
30(22), 3042–3044
(2005). [CrossRef] [PubMed]
]. While the use of
optical force switching has been demonstrated in semiconductor waveguides [
18I. De Vlaminck, J. Roels, D. Taillaert, D. Van
Thourhout, R. Baets, L. Lagae, and G. Borghs,
“Detection of nanomechanical motion by evanescent light wave
coupling,” Appl. Phys. Lett.
90(23), 233116 (2007). [CrossRef]
] and using microresonators [
19T.
J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala,
“Analysis of Radiation-Pressure Induced Mechanical Oscillation of an Optical
Microcavity,” Phys. Rev. Lett.
95(3), 033901 (2005). [CrossRef] [PubMed]
,
20M. Eichenfield, C. P. Michael, R. Perahia, and O. Painter,
“Actuation of micro-optomechanical systems via cavity-enhanced optical dipole
forces,” Nat. Photonics
1(7), 416–422
(2007). [CrossRef]
], the low propagation losses and long fiber lengths
will allow for lower optical powers in reaching the self-switching threshold, opening the way
for the development of self-configurable or ‘smart’ fibers. The fiber presented here was
optimized for the switching by pressure and shows negligible optical forces (corresponding to
<0.001mbar for 100mW optical power). However, our preliminary simulations suggest that
optical-induced pressures up to 0.1 mbar for 100mW of optical power can be achieved by reducing
the gap size to 100nm, which would allow for optical switching over fiber lengths of a few
meters. Practical applications may require the dual core fiber to be spliced to standard
single-mode fiber (SMF). Due to the size mismatch, butt coupling/splicing will only couple the
symmetric mode of the dual core fiber into the SMF. Coupling a single core to the SMF could be
achieved by an intermediate section of fiber containing a single suspended core, whereas
coupling the two cores to separate SMFs (as required for switching) will necessitate a dual-core
taper that converts the submicron modes of our fiber to micron dimensions similar to standard
fiber couplers.
Apart from switching and sensing applications, the dual core fiber has the further useful
property of a continuously variable propagation delay time that can be controlled through
adjusting the separation distance between the two cores [
21P. Horak, W. Stewart, and W.
H. Loh, “Continuously tunable optical buffer
with a dual silicon waveguide design,” Opt. Express
19(13), 12456–12461
(2011). [CrossRef] [PubMed]
]. Although the fractional change in time delay achievable - about 10% of the total
propagation time through the fiber - is relatively small (albeit high by electro-optic
standards), the ability to use long fiber lengths can yield substantial net variable time delays
(up to a nanosecond or more of variable delay per meter of fiber, with the use of high index
glasses), which would make this an attractive candidate for realizing optical fiber buffers.