PIERS ONLINE, VOL. 4, NO. 8, 2008 871 Soft-lithography-based Inter-chip Optical Interconnects Wei Ni 1, Rubing Shao 1, Jing Wu 2, and X. Wu 1 1 State Key Laboratory of Modern Optical Instrumentation, Department of Optical Engineering Zhejiang University, Hangzhou 310027, China 2 University of California at San Diego, La Jolla, CA 92093, USA Abstract The increasing performance of microprocessors leads to higher bandwidth requirements for the data flow to and from the processor. Today, all signaling on a PCB is performed electrically, using copper lines that are integrated in the board. However, issues such as propagation loss and inter-channel crosstalk limit the scalability of electrical interconnects to ever higher bandwidth densities. Optical interconnects feature a higher bandwidth length product, are more power-efficient and enable a higher bandwidth density than electrical interconnects do. This paper describes a kind of two-dimensional monolayer optical interconnects providing interconnections between chips on conventional PCB. We have designed a soft-lithography-based, versatile coupling structure with a 45 total internal reflector (TIR), a beam duct, and a polymer waveguide in order to vertically couple light beams between transmitter (or receiver) and the waveguide layer. This proposed integrated architecture of a polymeric optical interconnection has been demonstrated to be advantageous in the aspects of misalignment tolerance, ease and low cost of fabrication, as well as relative simplicity in deployment. We also investigated the characteristics of in-plane connections including cross-over and branching nodes in the optical interconnects with experimental and theoretical analysis. The theoretical crosstalk, as calculated by a function of crossing angle, was determined for a set of interconnect pairs with varying crosssections, and was compared with experimental measurements. Furthermore, a suitable branching angle was found for branching node and the effects of short-distance mode scrambling in highly multimode polymer waveguides were studied in detail in this paper too. 1. INTRODUCTION Photonic technologies have been widely accepted as a way to alleviate bottlenecks in platform-toplatform, machine-to-machine and board-to-board interconnections [1]. Recent breakthroughs in the fabrication of spatial arrays of optoelectronic emitters and detectors and their heterogeneous integration with Si-CMOS electronic chips now encourage the use of optics as an electronic wire replacement technology also at the chip-to-chip and on-chip interconnection level as in Figure 1. The main objective for introducing two dimensional photonic pin-outs at this level of the interconnection hierarchy aims at relaxing the bandwidth limitations between these electronic processing modules primarily imposed by fundamental electrical signal propagation issues and the limited number of electrical chip pin-outs. With the debut of 25 Gb/s board-level interconnects, optical interconnects have demonstrated their ability to provide communications infrastructure for nextgeneration computing [2, 3]. In the domain of very-high-bandwidth short-range communications, light-based waveguides have consistently demonstrated higher placement density, more packaging flexibility, and superior alignment reliability than their electrical counterparts [4, 5]. A kind of two-dimensional monolayer optical interconnects providing interconnections between chips on conventional PCB are proposed in this paper. Detailed theoretical analysis along with the experimental measurements of the interconnection circuit performance is also presented. 2. VERTICAL COUPLING Most prior designs of optical interconnections usually call for a high-precision Vertical Cavity Surface Emitting Laser (VCSEL)/Photodiode (PD) alignment, often with an alignment-error requirement of less than a few micrometers; this exhibits an immediate difficulty in the assembly of electro-optical PCBs. In order to increase the tolerance of the interconnection waveguide to alignment errors, we have designed coupling structure with a 45 TIR, a beam duct, and a polymer waveguide as in Figure 2 in order to provide high-speed optical communications within a board; the driving electrical pulses modulate the VCSEL, and the light received at the photodiode through the waveguide demodulates back as electric signals on the surface of the PCB. We utilized Zemax R to simulate the efficiency of the beam duct by varying the length of duct section while
PIERS ONLINE, VOL. 4, NO. 8, 2008 872 Figure 1: Interconnect distance. output light in the waveguide was monitored, and portion of simulation is displayed in Figure 2. The coupling efficiency peaked at around 6 mm for TIR reflector s triangular prism structure at the proposed 0.5 0.5 mm with waveguide cross section of 0.3 0.3 mm. Polymeric o 45 TIR Beam duct Reflector Drive IC Beam duct Length 6mm VCSEL Coupling Efficiency Waveguide 2 500 x500µm window 2 300 x300µm waveguide (c) 3 4 5 6 7 8 Beam Duct Length/mm Figure 2: Schematic of the coupling portion of the photonic circuits on PCB, ray tracing result with optimal beam duct length, (c) coupling efficiency as a function of beam duct length. 3. CROSSING AND BRANCHING OF LIGHT GUIDES IN IN-PLANE INTERCONNECTS However, as optical interconnects will inevitably cross in-plane when used heavily within circuits and PCBs, cross-over or branching nodes are necessary for signal crossing, splitting, or isolation, and the performance of these nodes in the circuit becomes critical in determining the overall quality of optical signal transmission. 3.1. Crossing Node For the cross-over node, as shown in Figure 3, crosstalk is usually required to be as low as 20 30 db for a reliable data communications. Considering the multimode nature of the waveguides for on-board optical interconnections, we utilized both wide-angle BPM and ZEMAXr to simulate the efficiency of polymer rectangular waveguide by varying cross angle, while the output from the waveguide was monitored. The results are shown in Figure 4 and for both strong-confinement and weak-confinement core/clad assemblies, respectively. As shown in Figure 4, crosstalk as a function of cross angle was calculated and compared to experimental measurement for four selected cross sections of 50 50 µm2, 100 100 µm2, 200 200 µm2, and 300 300 µm2, with a cross angle ranging from 10 to 55 for strong-confinement assembly (core 1.50, cladding 0) and 5 12.5 for weak-confinement (core 1.50, cladding 1.48). For weak confinement, it is found that the crosstalk decreases linearly with crossing angle from 5 to 9, and then exhibits a faster-than-exponential attenuation when cross angle increases from 9 to 12 ; when above 12, a crosstalk of less than 30 db is obtained. For strong confinement, however, a greater crossing angle of about 52 is needed to achieve a 30 db crosstalk. It is also noted in Figure 4 that the 20 db cross angle, as denoted with dotted blue lines,
PIERS ONLINE, VOL. 4, NO. 8, 2008 873 increases slightly with waveguide cross-section for both strong and weak confinement conditions. It is understood that as cross-section increases, the size of the crossing joint also increases, and so does the window of leakage to adjoining waveguide, therefore it takes a greater cross angle to achieve the same crosstalk. Cross-ove Cross-over Structure Branching Branching Structure Figure 3: Schematic of a cross-over interconnect pair, schematic of a branching interconnect pair; 300 x 300 µ 300 x 300 µ 200 x 200 µ 200 x 200 µ Crosstalk (db) 0-10 -20-30 -40 100 x 100 µ Crosstalk (db) 0-10 -20-30 -40 100 x 100 µ 50 x 50 µ 50 x 50 µ 5 10 15 20 25 30 35 40 45 50 55 Cross Angle (degree) 5 6 7 8 9 10 11 12 Cross Angle (degree) Figure 4: Dotted blue line shows that crossing angle changes with cross-section at 20 db crosstalk. Open symbols and blue fitted curves stand for experimental measurements. Refractive indices of core/cladding were at 1.50/0 and 1.50/1.48. 3.2. Branching Node Highly multimode Y-branching deserves special attention for its possible applications in polymer interconnects, particularly due to the special phenomenon of beam center shift in post-branching waveguides, which significantly affects their crossing characteristics. We took the case of weakconfinement assemblies and calculated power leakage in BPM simulation for both 50 50 µm 2 and 100 100 µm 2 cross-sections as a function of branching angles at the Y-junction, as shown in
PIERS ONLINE, VOL. 4, NO. 8, 2008 874 Figure 5(left), for a branching angle varying from 1 to 18. By using BPM simulation we found that until a branching angle of 7 is reached, the leakage for 50 50 µs is negligible. In the range of 7 12, the leakage suffers a linear increase from 0 to 100%, and remains at a constant for angles beyond 12. The phenomenon is partly explained by Figure 5(right), which shows part of leaking waves in Y-branching at 3, 8, and 15. Leakage (x100%) 50x50µ Leakage=0.1dB Branching Angle=7.7deg Leakage=0.1dB Branching Angle=6.5deg 0 2 4 6 8 10 12 14 16 18 Branching Angle (degree) (c) Figure 5: (left) Leakage v.s. branching angle of polymer waveguides with cross-sections of 50 50 µm 2 and 100 100 µm 2. Open symbols stand for experimental measurement. (right) BPM simulation of Y-branching with a cross-section of 50 50 µm 2 at a branching angle of 3, 8, and (c) 11. 3.3. Mode Scrambling Dependence Moreover, multimode waveguides exhibit many special transmission properties over short-range (mm to cm) applications [6, 7], such as mode scrambling and shifting of the center of beam intensity. Thus the single-mode beam from VCSEL should be transformed into multimode within a short distance before its further propagation in the optical layer. In our practical layout designs, it was found that a non-uniform mode distribution would influence follow-up circuit output by a great deal and makes it nearly impossible to predict output power from final terminals. A mode scrambler is thus a necessity in order to make beam output as planned. In case of board-level interconnection, however, instead of a particularly designed structure or a coil of fibers, a short segment of polymer rectangular waveguide with a suitable length can serve as the scrambler. To obtain a good estimation of the shortest propagation length needed to scramble a VCSEL beam, we conducted an analysis of beam mode scrambling in terms of intensity profile as well as distribution of ray directionality. We define VCSEL beam filling factor as the fraction of FWHM (full width at half maximum) of intensity profile over waveguide width. For two typical cross- VCSEL Beam Filling Factor (x100%) 1.2 50x50µ Cross-talk (db) -1 0 500 1000 1500 2000 2500 3000 0 5000 10000 15000 20000 Propagation Distance ( µ m) Propagation Distance ( µ m) -9.0-9.5-1 -10.5 50x50µ Crossing angle=9 0 Figure 6: (Left) Calculated beam filling of light guide as a function of propagation distance when a typical SM VCSEL (10 1/e 2 ) is coupled to a straight rectangular light guide. Squares denote a waveguide of a cross-section of 50 50 µm 2, circles for 100 100 µm 2, with inset figures showing intensity profiles; (Right) Crosstalk as a function of propagation distance from the VCSEL to crossing point at a cross angle of 9.
PIERS ONLINE, VOL. 4, NO. 8, 2008 875 sections of waveguides used in interconnects, 50 50 µm 2 and 100 100 µm 2, the beam filling factor was calculated as a function of propagation distance using Monte Carlo simulation and result is shown in Figure 6(left), it follows that minimum lengths of 1.3 mm and 2.5 mm are needed, respectively, for the beam to uniformly fill up the 50 50 or 100 100 µm 2 waveguides in terms of intensity regardless of incident direction. Four profiles of VCSEL beam filling factor of 10%, 25%, 40%, and 80% are shown in the insets of Figure 6(left). However, it actually takes a much longer propagation distance for ray direction to become completely scrambled. To demonstrate the effect, we calculated crosstalk at a 9 cross angle as a function of straight distance between a single mode VCSEL and crossing point and the result is displayed in Figure 6(right), in which a peak in crosstalk from below 11 db to 9 db was shown at 5 mm and 2.38 mm for 50 50 and 100 100 µ respectively, followed with three satellite peaks spanning to 15 mm of propagation distance. 4. CONCLUSIONS Our analysis from the fabricated prototypes, demonstrate that this proposed integrated architecture of a polymeric optical interconnection for conventional PCB implementation is advantageous in the aspects of misalignment tolerance. The 2 2 cross-over circuit, as detailed in this paper, can achieve acceptable crosstalk at a cross angle of greater than 12 in weak confinement. We have also obtained suitable branching angle of a 1 2 branching node for the purpose of reducing leakage in the Y-junction. We have finally found proper lengths of propagation in a branching arm for the consideration of distribution uniformity of light rays. The results have a high degree of applicability to future optics-integrated PCBs featuring soft-lithography-fabricated interconnect structures. ACKNOWLEDGMENT This research is supported by the China National Science Foundation under grants No. 6047719. REFERENCES 1. Savage, N., Linking with light, IEEE Spectrum, Vol. 39, 32 36, 2002. 2. Berger, C., M. A. Kossel, C. Menolfi, T. Morf, T. Toifl, and M. L. Schmatz, High-density optical interconnects within large-scale systems, VCSELs and Optical Interconnects, H. Thienpont, J. Danckaert, eds, Proc. SPIE, Vol. 4942, 222 235, 2003. 3. Cho, H., P. Kapur, and K. C. Saraswat, Power comparison between high-speed electrical and optical interconnects for interchip communication, J. Lightwave Technol., Vol. 22, 2021 2033, 2004. 4. Choi, C., L. Lin, Y. Liu, and R. T. Chen, Polymer-waveguide-based fully embedded boardlevel optoelectronic interconnects, Photonic Devices and Algorithms for Computing IV, K. M. Iftekharuddin, A. A. S. Awwal, eds, Proc. SPIE, Vol. 4788, 68 72, 2002. 5. Steenberge, G. V., P. Geerinck, S. V. Put, J. V. Koetsem, H. Ottevaere, D. Morlion, H. Thienpont, and P. V. Daele, MT-Compatible laser-ablated interconnections for optical printed circuit boards, J. Lightwave Technol., Vol. 22, 2083 2090, 2004. 6. Kokubun, Y., T. Fuse, and K. Iga, Optimum length of multimode optical branching waveguide for reducing its mode dependence, Appl. Opt., Vol. 24, 4408 4413, 1985. 7. Eskiyerly, M., A. Garcia-Valenzuela, and M. Tabib-Azar, Mode conversion and large angle transmission in symmetric multimode Y-junction couplers, Integrated Optics and Microstructures, T. A. Massood, D. L. Polla, eds, Proc. SPIE, Vol. 1793, 70 82, 1993.