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The mode size converter employs a pair of parabolic-shaped reflectors. The incident light turns into a convergent beam after the first reflection at the resin/air interfaces, and travels through the focal point. The key of having a pair of parabolic-shaped reflectors is that, when they share the same focal point, the output beam turns back to a collimated beam that can be easily coupled to a waveguide. Furthermore, it enables efficient conversion of the mode field diameter (MFD), as detailed in the following subsection. The geometry of the parabola is tailored to precisely manipulate the light propagation. As illustrated in Fig. 2d, the key parameters include the widths w1, w2, heights h1, h2, and the focal lengths f1, f2, of the two parabolic-shaped reflectors.
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When the pair of parabolic reflectors are symmetrical (f1 = f2), the input MFD will remain unchanged at the output. Changing the second reflector’s dimensions alters the MFD of the output mode, achieving effective mode size conversion at low loss, as shown in Fig. 1b. Due to the free-space propagating nature of light inside the coupler and its 3D designing freedom, compact but ultra-wide bandwidth coupling can be achieved.
Considering a monochromatic, highly collimated incident laser beam, the output mode will have a new MFD d2 of d1*f2/f1, where d is the MFD of the input mode, f1 and f2 being the focal length of the first and second parabola, respectively. Thereafter, we can denote the MFD conversion ratio φ, as φ = f1/f2. Lumerical FDTD (finite difference time domain) software is subsequently used to visualize the light propagating inside the reflectors input from a guided mode and enables optimization of the design. An example is as follows: Fig. 2e shows a side view of the optical propagation path at the wavelength of 1550 nm, and the parameters of the two parabolic-shaped reflectors are set differently to shrink the output mode. However, due to the polychromatic nature of the laser beams and the spherical aberration introduced by the reflections happened at the concave polymer/air interfaces, the geometry of reflectors needs to be tailored to optimize coupling efficiency (Fig. 2f) and correct comatic aberration (Fig. 2g). The focus point is not located at the interface of the two parts, and this is mainly because the input mode lose constrains from the core/cladding interface after it leaves the optical waveguide and becomes a divergent beam. The actual focal points of the reflectors are tweaked with the assistance of FDTD modeling. For the actual test, limited by the tool’s alignment capability, the coupling loss will be slightly higher than the designed value, which is explained in Fig. 2h. A more detailed description of the mode adaptation can be found in Supplementary 2.
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The geometry of the parabola is first calculated using linear optics to provide an initial design with the target mode conversion ratio, taking the beam divergence into consideration. For the case of a Gaussian beam emitted at the end of the optic fiber that enters the reflecting units, according to ISO 11146-1:200518, the divergence half-angle, θ, is calculated from Eq. 1:
$$ \theta =\frac{\lambda }{\pi n{w}_{0}} $$ (1) where λ is the wavelength of the light source, n is the refractive index of the resin that is used to shape the reflectors, and w0 is the waist size. For the case of an integrated waveguide, similar estimations can be made.
Here, considering a laser beam that has a center wavelength of 1550 nm emitting from an SMF28 optical fiber that has an MFD of 10.4 µm, the divergence half-angle is calculated to be around 4°. Since the wavefront of the incident light is not planar, not all incident light is parallel to the main optical axis of the parabolic reflector. Therefore, comatic aberration occurs at the output. Also, the output mode will be expanded slightly due to the beam divergence. The incident angle at the output part then defines the output mode size, which can be described as:
$$ {MFD}_{out}= 2\left[\mathrm{arctan}\left(\frac{{y}_{1}+t}{2x}\right)+\mathrm{arctan}\left(\frac{{y}_{2}+t}{2x}\right)\right] $$ (2) where y1 and y2 denote the upper and lower boundary in the vertical direction, t denotes the incident height and x denotes the width of the parabola.
We simulate a pair of reflectors with Rhinocero for a proof-of-principle scenario with an SMF28 as input and an integrated waveguide of a 4 μm MFD as output. The 3D model files are imported into Lumerical to conduct FDTD simulations. The input mode is set to have a central wavelength of 1550 nm, and the parameter sweep results of the reflector geometry are plotted in Fig. 2i.
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The reflectors are designed in such a way that they transmit the input with a low loss and with a high misalignment tolerance (Fig. 2i, j). However, even though the condition for total internal reflection (TIR) is met, comatic aberration still occurs due to the beam divergency of the incident laser, which is a major source to the signal loss as it results in some mode mismatch. To minimize the comatic aberration, a lower incident point is preferred for the input mode as shown in Fig. 2f. However, this will in turn increase the loss due to light leakage as a result of the beam divergence during the free-space propagation within the reflectors that leads to a reduced incident angle at the resin/air interface. Therefore, a careful trade-off has to be made. The best incident spot and reflector geometry are identified using Lumerical FDTD with perfectly matched layer (PML) boundary conditions. The simulation result shows that 20 μm from the top of the parabola is the best position to balance light leakage and aberration. As a result of optimization via simulations, the mode size conversion loss can be minimized at around 0.7 dB, presumably bounded by the beam divergence. This could be further optimized by the use of irregularly shaped reflectors but this would compromise its ease of fabrication. The width and height of the reflector are optimized to be 82 μm and 38 μm, respectively, in this design example.
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Alignment tolerance is evaluated using Lumerical FDTD. The tolerance in both vertical and horizontal directions is greatly improved compared to the loss level without the parabolic reflectors. The 1 dB-loss window is increased from about 1 μm to about 6 μm in the horizontal direction and to about 4 μm in the vertical direction, as shown in Fig. 2j. Additional information can be found in S2 of Supplementary.
To sustain a low coupling loss, it is required to keep both the input and output interfaces well aligned. We introduce a smart on-interposer coupling frame, composed of fixers and gripping clamps, as detailed in the following subsection, that is pre-printed to fix the position of the various dies. Subsequently, on-chip funnels are printed to ensure an accurate alignment of fibers. The coupling funnel’s geometry is designed as 500 × 300 × 300 μm, truncated by a circular cone with a lower diameter of 130 μm and an upper diameter of 250 μm, taking resin shrinkage into consideration. The model of the frame intrudes into the chip edge by 20 μm, such that a tight fit between the resin frame and the chip edge is guaranteed after the printing process, and a sub-micrometer alignment accuracy can be achieved. A bayonet of 20 μm is presented at the end of the truncated cone to enhance the plug-in process’s stability, as shown in Fig. 2b.
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The optical chiplet interposer concept is designed to leverage 3D-nanoprinted fixers to align chiplets and flexible clamps to provide additional grip force. Fig. 3 schematically describes the solution. The fixers are printed at the four corners where the chiplet will be placed, and the upper edges of the fixers are chamfered to allow the chip to be placed easily. A layer of resin under the fixer can be used to compensate for the height difference between different chiplets. The fixers enable a positioning accuracy of ±1 µm, and in order to push towards sub-micrometer accuracies, mechanical clamps are introduced, which are printed at opposite sides of a chiplet (demonstrated in Silicon-InP die-level interconnection). Besides, the fixers also help to ensure a smaller angular deviation between their respective axes of the chiplets, which eases the following on-chip printing aligning process. The crimps in the clamps that are pushed outwards by the chiplet provide a restoring force, which helps fix the chiplets in position and provides relative coordinates to help quickly locate and identify the markers for the following on-chip printing processes.
Photonic chiplet interconnection via 3D-nanoprinted interposer
- Light: Advanced Manufacturing , Article number: (2024)
- Received: 24 January 2024
- Revised: 26 July 2024
- Accepted: 15 August 2024 Published online: 29 September 2024
doi: https://doi.org/10.37188/lam.2024.046
Abstract: In the past several decades, photonic integrated circuits (PICs) have been investigated using a variety of different waveguide materials and each excels in specific key metrics, such as efficient light emission, low propagation loss, high electro-optic efficiency, and potential for volume production. Despite sustained research, each platform shows inherit shortcomings that as a result stimulate studies in hybrid and heterogeneous integration technologies to create more powerful cross-platform devices. This is to combine the best properties of each platform; however, it requires dedicated development of special designs and additional fabrication processes for each different combination of material systems. In this work, we present a novel hybrid integration scheme that leverages a 3D-nanoprinted interposer to realize a photonic chiplet interconnection system. This method represents a generic solution that can readily couple between chips of any material system, with each fabricated on its own technology platform, and more importantly, with no change in the established process flow for the individual chips. A fast-printing process with sub-micron accuracy is developed to form the chip-coupling frame and fiber-guiding funnel, achieving a mode-field-dimension (MFD) conversion ratio of up to 5:2 (from a SMF28 fiber to 4 µm × 4 µm mode in polymer waveguide), which, to the best of our knowledge, represents the largest mode size conversion using non-waveguided 3D nanoprinted components. Furthermore, we demonstrate such a photonic chiplet interconnection system between silicon and InP chips with a 2.5 dB die-to-die coupling loss, across a 140 nm wavelength range between 1480 nm to 1620 nm. This hybrid integration plan can bridge different waveguide materials, supporting a much more comprehensive cross-platform integration.
Research Summary
3D photonics integration: chip level connection via 3D nanoprinting
Photonics integrated circuits (PICs) are now being widely utilized in variety of field including optical communication, optical computing, biological sensing, etc. Based on different material platforms, each platform shares its own advantages over the others, which makes heterogeneous integration a vital task in broader use of PICs. Qixiang Cheng from University of Cambridge and colleagues now report a fibre and chip level scale integration enabled by two photon polymerization of polymers. By directly fabricating the device onto as-fabricated chips, this technology can match the dislocation and mode size among different PIC platforms without damaging their own original structure. The team demonstrate the optical interconnection on fibre-to-fibre, fibre-to-chip and chip-to-chip applications, which provide a novel approach for future large scale heterogeneous integration.
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