4. AIM
Academy Waveguide Materials
Core Si Si-rich
Si3N4
Si3N4 SiON
n 3.5 2.2 2.0 2.0-
1.445
n 2.055 0.755 0.555 0.555-0
Dielectric waveguides
Core:
Si: SOI, amorphous (a-Si)
Si-rich Si3N4 / Si3N4: PECVD, LPCVD
SiON: PECVD
Cladding:
Undercladding: wet thermal SiO2
Overcladding: PECVD SiO2
Geometry
Strip
h=0.2-1.0 mm (SOI, thin film)
w=0.5-2.0 mm (UV-sub-UV lithography)
Ridge/rib
h ~ 1 mm, trench=0.5-0.8 mm
w= 1.0-5.0 mm
waveguide core refractive indices
SiO2 cladding is assumed in all cases.
Index difference: n2-0.01
5. AIM
Academy Waveguide Loss
a = S a = a side roughness + a top roughness + a bulk + a substrate
Si Substrate
Substrate Leakage – f (n, h, w, tunderclad)
Absorption – f (a bulk, n, h,w)
Roughness Scattering – f (n, h, w, , Lc)
Surface loss
Sidewall loss
Design > isolation design rules
Material & process method
CMP
Etch & Post etch treatments
Sidewall scattering often dominates: TM mode lowest loss
abulk=acore+(1-)acladding
: power confinement factor
: roughness Amplitude
Lc: roughness correlation length
D. K. Sparacin, “Process and Design Techniques for Low Loss Integrated Silicon Photonics,” MIT Ph.D. Thesis (2006).
6. AIM
Academy
Metrology
Fabry-Pérot Method
work with fewer samples: spectral scan
FSR: peak spacing; loss/length: peak/valley ratio
a priori knowledge of insertion loss: reflectivity calc deviates for n
need accurate measure of waveguide length
d
Input
Output
~1.7 mm mode
field diameter
S.J. Spector et al., Proc. (2004).
D. K. Sparacin, “Process and Design Techniques for Low Loss Integrated Silicon Photonics,” MIT Ph.D. Thesis (2006).
S. Spector et al., Optical Amplifiers and Their Applications/Integrated Photonics Research, Technical Digest, IThE5 (OSA, 2004).
E(z d,t) = Aei0 z
teid
t (Aei0 z
teid
)reid
reid
t (Aei0 z
teid
)reid
reid
reid
reid
t ... eit
=
Aei(0 zt)
eid
(1 r)2
1 x
, x r2
ei2d
T =
E(z d,t)
E(z,t)
2
=
eid
(1 r)2
1 r2
ei2d
2
a == imagimagreal i ;
7. AIM
Academy Si SOI Waveguides
h=220 nm
w=445 nm
Y.A. Vlasov and S.J. McNab, “Losses in single-mode silicon-on-insulator strip waveguides and
Bends,” Optics Express, v.12(8), pp. 1622-1631(2004).
aTE
TE 0.3 dB/cm
H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang and M. Paniccia,
“An all-silicon Raman laser,” Nature, v.433(7023),pp.292-294 (2005)
1.5 mm SOI
w=1.5 mm
depth=0.7 mm
Ridge SOI waveguide
— w=1 mm
— w=5 mm
aTE=3.6 ± 0.1 dB/cm
Si SOI: “photonic wire”
8. AIM
Academy
aTE=0.32 0.05 dB/cm
S. Spector, M. W. Geis, D. Lennon, R. C. Williamson, and T. M. Lyszczarz, " Hybrid multi-mode/single-mode waveguides for low loss," in
Optical Amplifiers and Their Applications/Integrated Photonics Research, Technical Digest (CD) (Optical Society of America, 2004), paper IThE5.
Mode-Engineered SOI Waveguides
Couple light to first-order mode
Multimode straight waveguide segments
power remains confined to first-order mode
minimal (TE) overlap with sidewalls
Turns: adiabatic taper to single-mode waveguide
10. AIM
Academy a-Si Waveguide, SiN clad
R. Sun, K. McComber, J. Cheng, D. K. Sparacin, M. Beals, J. Michel and L. C. Kimerling, “Transparent amorphous silicon channel waveguides with
silicon nitride intercladding layer,” Appl. Phys. Lett. v.94(14), p.141108 (2009)
TE-polarization, ring resonator measurements
Sample Resonance
wavelength (nm)
Extinction ratio
(dB)
-3 dB bandwidth
(pm)
Q factor Loss
(dB/cm)
1 1558.146 12.3 69.4 22452 12.0 ± 1.8
2 1559.587 5.4 25.8 60449 6.5 ± 0.9
3 1560.319 6.9 11.0 141847 2.7 ± 0.4
11. AIM
Academy Slot Waveguides
Low index slot regions: potential host matrix for optically active dopants (Er,
nanocrystals)
Access to effective index/group index values intermediate to Si3N4 Si waveguides
R. Sun, P. Dong, N. Feng, C.Y. Hong, J. Michel, M. Lipson, L.C. Kimerling, “Horizontal single and multiple slot waveguides: optical transmission at =1550 nm,” Opt. Exp. v.15(26), p.17967 (2007).
Expt Theory
74.6 pm/K 76.8 pm/K
65.4 pm/K 64.6 pm/K
Single Slot
Triple Slot
Si: 102.7 pm/K
dTd /
13. AIM
Academy Adiabatic Taper
Waveguide taper length >> wavelength
In-plane taper: linear, parabolic, exponential,
Gaussian, hyperbolic
Good Design: 80% power (TE) remains in
source mode
Novel studies: rectangular taper
TM mode more stable than TE
E.Marcatili, “Dielectric tapers with curved axes and no loss,” IEEE J.Quantum Electron., QE 21, 307-314 (1985).
G. Jin, S. Shi, A. Sharkawy and D.W. Prather, “Polarization effects in tapered dielectric
waveguides,” Opt. Express, v.11(16), pp.1931-1941 (2003).
14. AIM
Academy Inverted Taper Coupler
CMOS process flow and fabrication
100 modal area reduction
10 coupling efficiency
V.R. Almeida, R.R. Panepucci and M. Lipson, “Nanotaper for compact mode conversion,”
Optics Lett., v.28(15), pp.1302-1304 (2003).
K.K. Lee, L.C. Kimerling, et al., “Mode transformer for miniaturized optical circuits,” Opt.
Lett. v.8(5), pp.498-500 (2005).
T. Tsuchizawa, H. Morita et al., “Microphotonics Devices Based on
Silicon Microfabrication Technology,” IEEE J. Select. Topics Quant. Elect., v.11(1),
pp.232-240 (2005).
15. AIM
Academy Grating Couplers
Diffract incident light into waveguide
1D Photonic Crystal (on SOI)
Couple out-of-plane incident light
into modes propagating away from
in-plane stopband reflector
Stopband location controlled by etch
depth
Performance
TE: 1 dB insertion loss
35 nm 3dB-bandwidth
Source: http://silicon-photonics.ief.u-psud.fr
C. Li, H. Zhang, M. Yu, G. Q. Lo, Opt. Express 21, 7868-7874 (2013)
16. AIM
Academy 2D Grating Coupler
2D Photonic Crystal in SOI
Fiber TE/TM mode couple into different ridge
waveguides
TM fiber mode transformed into TE
waveguide mode
Built-in Polarization Diversity
D. Taillaert, H. Chong, P.I. Borel, L.H. Frandsen, R.M. De La Rue and R. Baets, “A Compact Two-Dimensional
Grating Coupler Used as a Polarization Splitter,” IEEE Phot. Tech. Lett., v.15(9), pp.1249-1251 (2003).
18. AIM
Academy
Passive Photonics:
Wavelength Division Multiplexing
Dense WDM function
Si-compatible, compact footprint
Microrings, racetracks, slot rings
Higher-order filters, embedded rings
T. Barwicz et al., Optics Express v.12(7), (2004).
19. AIM
Academy
Lithography: 248nm
Q ~ 2000, FSR~16 nm
1st-Order Ring & Racetrack Microring Filters
Q~500
6 mm
6 mmIn
Drop
Silicon
Thru-port 1 2 3 4
Thru-port
D. R. Lim, B. E. Little , K. K. Lee, M. Morse, H. H. Fujimoto, H. A. Haus, and L. C. Kimerling, “Micron-sized channel dropping filters using
silicon waveguide devices,” Proc. SPIE, 3847, pp.65-71 (1999).
Si3N4Si
1520 1540 1560
2mm Ring
FSR=48.6nm; Q=1050
DropPortPower(ArbUnits)
Wavelength (nm)
3 mm Ring
FSR=21nm; Q=3000
5 mm ring
FSR=18nm Q=3875
1x4 WDM (silicon nitride Rings)
1515 1520 1525 1530 1535 1540 1545
Wavelength (nm)
Power--samescale(au)
Port1
Port2
Port3
Port4
Thru
,...2,1
20
=
=
m
r
n
m
eff
20. AIM
Academy
M.A. Popović, H.I. Smith et al., “Multistage high-order microring-resonator add-drop filters,” Opt. Lett., vol. 31,
no. 17, pp. 2571-2573, September 2006.
M.A. Popović, H.I. Smith et al., “High-index-contrast, wide-FSR microring-resonator filter design and realization
with frequency-shift compensation,” in Optical Fiber Communication Conference (OFC/NFOEC) Technical
Digest (Optical Society of America, Washington, DC, March 6-11, 2005), paper OFK1, vol. 5, pp. 213-215.
>2nd Order Rings: Resonance Frequency
Central ring: different
coupling coefficient
different resonant frequency
Compensated ring design
(wider waveguide) ensures
common resonance
frequency
flatband response
e-beam lithography
B.E. Little et al., IEEE Photon. Technol. Lett. 16, 2263 (Oct 2004)
21. AIM
Academy WDM Resonator Comparison
Resonator
Type
Quality
Factor
Bandwidth FSR
(L=50 –
100 μm)
Insertion Loss
1st Order Ring 104 - 105
(easy to achieve
high Q)
~103 – 102
GHz
(WDM)
6000 – 3000
GHz
<0.5 dB for gap
< 100 nm
Higher Order
Ring
102 - 103
(high Q
challenging)
~103 – 10
GHz flatband
(DWDM)
6000 – 3000
GHz
>1 dB for gap
< 100 nm
Racetrack 102 - 104 ~103 – 102
GHz
(WDM)
6000 – 3000
GHz
<1 dB for gap
< 100 nm
Editor's Notes
When integrating photonics with CMOS technology, the CMOS node gives an important baseline for layer thicknesses and thermal budgets.
To fabricate active photonics devices elevated temperatures are usually necessary for dopant activation or epitaxial growth.
If heaters need to be integrated for local temperature control, available materials, layer thicknesses, and process temperatures need to be considered.
Overview of CMOS compatible materials that can be used for waveguide core and cladding.
The refractive index n and the difference delta n is given in the table for specific core materials.
Sources of waveguide loss.
The image shows the cross section of an amorphous Si waveguide. The a-Si was first deposited and then the waveguide etched.
Waveguide loss measurement using the Fabry-Perot method. The mirror for the waveguide ends in the top right figure is given by the index difference between the waveguide material and air and can have around 30% reflectivity.
The bottom right figure shows the resonances of such a Fabry-Perot cavity. The loss can be calculated from the resonance maxima and minima as shown by the equation next to the Figure.
This method is limited to losses of about 5-10 dB/cm.
Two examples of early silicon-on-insulator (SOI) waveguides. SOI wafers for photonic applications typically have a 3 micron thick oxide underneath the bonded Si. The Si thickness is 220nm.
Example of low loss Si waveguide by tapering waveguides wider for straight sections. Since higher order modes are not excited the fundamental mode does not interact with the wide waveguide side walls.
Amorphous Si can be used as waveguide material when no crystalline Si is available and subsequent processing T are low. Deposited a-Si has high losses in the near IR due to deep level recombination centers. Hydrogen can passivate these recombination centers, however, due to the high mobility of H in a-Si, H-passivation is not stable.
A way to improve the losses in a-Si waveguides is shown here. For the measurements, 3 ring resonators with different a-Si waveguides were fabricated.
The first figure shows the resonance of an a-Si waveguide without any additional treatment. The table shows a loss of about 12 dB/cm.
In second figure, the a-Si waveguide is clad with a thin film of SiN to reduce H outdiffusion. The loss improved to about 6.5 dB/cm.
SiN itself adds loss to the waveguide due to N-H vibrational modes. When the H is removed from the SiN layer, but retained in the a-Si waveguide (third figure), the waveguide loss is reduced to about 2.5 dB/cm.
Slot waveguides were introduced earlier.
This slide shows the experimental confirmation that the mode is concentrated in the low index slots.
Ring resonators made out of vertical slow waveguides were fabricated and the T-dependence of the resonance was measured. The resonance shift for Si is 102.7 pm/K, however, the slot waveguides show a smaller resonance shift that coincides with the slot modes.
12
Adiabatic tapers are typically lossless when sufficiently long. However, length has to be limited due to space constraints.
In-plane is more practical but has higher losses, 3D is much harder to fabricate.
Bottom right image shows an FDTD (final difference time domain) simulation of a taper coupler.
Inverted tapers have a very small tip (large mode diameter) to capture the fiber mode. As the taper expands, the mode is pulled into the waveguide. Smaller tips show lower losses. Larger tits can cause reflection of the light due to mode mismatch.
Inverted tapers are widely used for edge coupling.
Grating couplers work well for surface normal fiber coupling.
As the fiber is tilted to a specific angle, the light can be couples from the fiber to a Si waveguide efficiently.
Design of the grating coupler is important to reduce losses.
2D grating couplers allow to separate TE and TM polarization for very low loss coupling from an optical fiber. No polarization control needed in optical fiber.
17
Examples of wavelength filtering using ring resonators.
The top left image shows a race-track resonator with input waveguide (in), thru-port, and drop-port.
The figure below shows the light in the drop-port for different ring circumferences. Larger rings show smaller FSR while smaller rings show larger FSR.
The top right image shows a waveguide system with four differently sized rings. Below is shown the light in the thru-port (blue) and the light in the different drop-ports.
Higher order rings improve the wavelength-selective coupling.
Higher order rings allow for separation of closer spaced wavelengths.
The figure on the right shows that slight coupling variations between rings distort the filter response. By adjusting the fabrication process to compensate for the coupling variations, the filter response can be perfect (bottom image).