Abstract
We present a plasmonic platform featuring efficient, broadband metallic fiber-to-chip couplers that directly interface plasmonic slot waveguides, such as compact and high-speed electro-optic modulators. The metallic gratings exhibit an experimental fiber-to-slot coupling efficiency of −2.7 dB with −1.4 dB in simulations with the same coupling principle. Further, they offer a huge spectral window with a 3 dB passband of 350 nm. The technology relies on a vertically arranged layer stack, metal–insulator–metal waveguides, and fiber-to-slot couplers and is formed in only one lithography step with a minimum feature size of 250 nm. As an application example, we fabricate new modulator devices with an electro-optic organic material in the slot waveguide and reach 50 and 100 Gbit/s data modulation in the O- and C-bands within the same device. The devices’ broad spectral bandwidth and their relaxed fabrication may render them suitable for experiments and applications in the scope of sensing, nonlinear optics, or telecommunications.
Keywords: Plasmonics, slot waveguides, grating, fiber-to-chip coupling, extraordinary optical transmission, electro-optic modulator
On-chip integrated functional plasmonic waveguides offer a broad variety of functionality in science and engineering. The high subwavelength confinement of electromagnetic waves at metal–insulator interfaces gives rise to a strong light–matter interaction and allows for applications such as the observation of nonlinear phenomena,1,2 sensing,3 or modulation and detection in optical communications.4−10 Two building blocks are indispensable for such on-chip devices: First, an active plasmonic waveguide and, second, a coupler to connect it with the photonic world.
A variety of plasmonic waveguides has been described in the literature.11 Plasmonic metal–insulator–metal (MIM) slot waveguides12−15 stand out as they provide extreme field confinement and their metals can simultaneously act as high-speed electrical contacts.16 These MIM slot waveguides are usually formed by a horizontal, in-plane gap in a single metal layer and have been extensively used in experiments and fiber-coupled applications.6,9,17−19 Until now, however, experimental realizations of MIM waveguides formed by a vertical, out-of-plane gap between two metal layers have often been with passive devices and rarely fiber or waveguide coupled.20−27 The reasons for this might be due to both the difficulties of optical coupling and the functionalization with active materials.
On the other hand, very efficient photonic-to-plasmonic couplers have been conceived to couple plasmonic MIM slots to photonic bus waveguides17,28 or to guided optical fiber modes by either photonic grating couplers19,29 or metallic structures.4,30 These achievements are particularly remarkable, because plasmonic MIM modes are confined to areas below the diffraction limit, typically ∼(100 × 100) nm2, and have a very high momentum, whereas photonic modes are considerably larger with a lower momentum. Both facts make it difficult to couple to a μm-sized, dielectrically guided photonic mode.
Figure 1a shows a schematic of the demonstrated platform. Its MIM slot waveguide and the fiber-to-slot couplers are formed by a stack of a bottom metal, an insulator, and a structured top metal layer; see the cross-section in the figure inset, similarly as introduced for coupling from a microscope objective to a vertical MIM waveguide.25 The fiber mode from a pitch-reduced optical fiber array (Chiral Photonics) impinges on one of the grating sections, which directly maps the signal into the plasmonic waveguide. After plasmonic propagation, a second, identical metal grating couples the light back to a second fiber core. The device layout is described in Supplementary Section 1.
The device is fabricated layer by layer, as detailed in Supplementary Section 2. The top metal is structured in one single lithography step. An alignment process with tolerances in the μm range is only required if electrical contacts need to be structured; otherwise, no alignment is needed at all.
In order to verify the capabilities of the VSPP, we experimentally demonstrate a passive structure featuring fiber-to-slot converters with an optical bandwidth ranging from 1300 to 1600 nm and coupling efficiencies of −2.7 dB; see Figure 1b. Furthermore, we demonstrate the functionalization of the VSPP by fabricating a broadband and high-speed electro-optic modulator that supports both O- and C-band operation and data modulation up to 100 Gbit/s. This comes at the cost of a reduced coupling efficiency due to an early stage fabrication process (see Supplementary Section 2), and the coupling penalty is not of a fundamental nature.
The VSPP with MIM waveguides and fiber-to-slot coupler have several distinct advantages, some of which have already been discussed in the works of Gramotnev et al.31 and Nielsen and Bozhevolnyi.25 First, the cross-section of the plasmonic modulator is well-defined, as the thickness of the individual layers can be controlled precisely during deposition.31 The layered approach allows one to achieve arbitrarily large slot aspect ratios,31 while conventional horizontal MIM waveguides are typically limited to aspect ratios below ∼5:1 due to lithographic constraints. In consequence, the plasmonic mode is very strongly confined within the slot. This helps to reduce scattering into leaky and unwanted edge modes23 and provides an excellent field overlap with an RF field, in case the waveguide is functionalized with electro-optic materials, either organic32 via spin-coating or ferroelectric such as BaTiO333 or LiNbO310 via metal-to-metal direct wafer bonding.34 Furthermore, leakage into the substrate, which can be observed for plasmonic MIM slot waveguides with a low aspect ratio and low-index material in the slot,35 is completely suppressed here. This offers a way to implement plasmonic modulators on high-index substrates or plasmonic modulators with a large gap size. The latter might be beneficial for the modulation efficiency of devices based on both organic electro-optic or ferroelectric materials to reduce the influence of boundary effects at the metal–insulator interfaces.36 Second, instead of relying on plasmonic slot waveguides that were fabricated with an etching or a lift-off process, the metal surfaces defining the waveguide can be ultrasmooth.37 This lowers plasmonic propagation losses,38,39 particularly in the case of small gap size.40 Third, the fabrication process of this new type of high-speed plasmonic modulator is considerably simpler than that of the established, horizontal modulators.25,31 All features, even those of the metallic grating couplers, are larger than 250 nm. This alleviates lithography requirements as compared to the horizontal MIM structures where sub-100 nm features must be structured and aligned with the help of advanced lithography technologies, such as e-beam. Fourth, despite their simplicity in structure and fabrication, the fiber-to-slot coupling has low loss and extraordinary broadband. Figure 1b shows the wavelength-dependent fiber-to-slot coupling efficiency of −2.7 ± 0.5 dB at 1510 nm with a 3 dB bandwidth of 350 nm, spreading over the O-, S-, C-, and L-bands. The 1 dB bandwidth of ∼100 nm is comparable to that reported for other metallic gratings.41 The plasmonic losses of α = 0.5 ± 0.1 dB/μm at λ = 1550 nm have been extracted from cut-back measurements of 11, 23, and 35 μm-long devices with a gap size of 100 nm. The band between 1375 and 1460 nm has not been accessible with our measurement setup. The experimental behavior is in very good agreement with 2D finite-difference time-domain (FDTD) simulations,42 depicted as the dark line. These simulations have been carried out with the device’s geometrical properties and the grating period adapted from 800 to 750 nm. This adaptation is attributed to imperfect fabrication in terms of the dimensions and material refractive indices. More detailed information on the simulations can be found in Supplementary Section 3. The dip of the simulated transmission spectrum at ∼1430 nm can be attributed to a Bragg passband of the grating; see Supplementary Section 4.
The fiber-to-slot coupling mechanism is depicted in Figure 2a and can be separated in two independent parts: First, the fiber mode A with a 2 μm mode field diameter is coupled to plasmonic MIM modes Bn that are guided in between the grating bars and travel downward. Second, these modes are coupled to the actual slot waveguide mode C, where the grating acts as a Bragg reflector; see Supplementary Section 4. The independence of these coupling mechanisms is revealed by a sweep of the upper metal layer’s thickness, best seen in a model with a period of 650 nm and a fill factor of 50%. This is in contrast to a classical grating coupling scheme,43 where the grating provides the missing momentum to the incoming light in order to match with the momentum of the MIM mode.44Figure 2b shows the results, where optima of the coupling efficiency occur every 490 nm of thickness, which corresponds to exactly half the wavelength of a MIM slot plasmon polariton traveling in a 325 nm-wide gold slot filled with PMMA. This indicates that the grating itself acts as a Fabry–Pérot (FP) resonator.45−47 In this, the presented coupler is closely related to the phenomenon of extraordinary optical transmission (EOT),46−49 where plasmonic modes enable more light to be transmitted through an aperture in a metal sheet than would be expected from the aperture size alone. Typically, in EOT, a grating or periodic array of features serves to match the momentum of the incident, free-space wave to that of surface plasmons. Another effect that can strongly contribute to EOT is mediated by FP cavity modes in the grating structure itself.45−47,50 The importance of these FP modes in the EOT through one-dimensional metal gratings has first been recognized by Porto et al.45 and has subsequently been the subject of several studies.45,51−53 In the structure and wavelength regime of this work, we have strong evidence that we operate in the FP-dominated regime: First, we see the strong dependence of the coupling efficiency at a certain wavelength on the gold thickness and, hence, on the FP resonance condition. Second, we operate at rather long wavelengths, where FP modes dominate,45,51,52,54 and third, we operate at normal incidence, where again FP plays a much more important role than coupled plasmon resonances.54
For practical reasons, it is also important to investigate the coupler’s dependence on geometrical parameters. Figure 2c shows the coupling efficiency for a sweep of the lateral fiber position. The coupling efficiency stays within a 1 dB range for a displacement ΔxFiber of less than ±0.5 μm from the optimal position. The fill factor, i.e., the fraction of the period fill with metal, can be subject to fabrication derivations, whereas the grating period itself is usually well controlled in fabrication. Figure 2d shows the influence of a change in fill factor on the coupling efficiency: The penalty is below 1 dB for a fill factor of 30 ± 10%, which corresponds to a rather relaxed required dimension accuracy of 150 nm. A more in-depth study on the influence of fiber mode size, the number of grating bars, and the width of the waveguide and gratings is included in Supplementary Section 5.
As has been shown above, the grating modes Bn play a major role in the fiber-to-slot coupling mechanism. The fabricated grating has five gaps, and it is interesting to find out their contribution to the overall coupling. To this end, MIM waveguide mode C has been excited in simulation, and the power transmitted to the modes B1, B2, and B3 has been determined. The coupling coefficients from the excited port to the grating modes B1, B2, and B3 are SCB1 = −2.0 dB, SCB2 = −9.9 dB, and SCB3 = −17.8 dB. We can conclude that the first grating aperture is the most important for the total coupling efficiency.
To investigate the structure and the coupling effect further, we conceive a coupling structure with only one aperture, such as shown in Figure 3a. The aperture is engulfed by a shallow grating on the cladding side, which helps to collect the incident light and guide it to the grating opening.1,49,55 The top metal thickness was set to 535 nm, as is possible without penalty; see Figure 2b. A particle swarm optimizer has been used to find the shallow grating’s pitch of 793 nm, fill factor of 69%, and depth of 150 nm. Although the structure lacks elements that could provide directionality, the CE into one MIM waveguide mode is SCA = −4.7 dB. In a second structure (see Figure 3b), an additional, shallow grating has been introduced on the substrate side (pitch: 694 nm; fill factor: 20%; depth: 135 nm). This grating acts as a reflector for the MIM waveguide mode and provides directionality to the structure, so that the simulated coupling efficiency rises to SCA = −1.4 dB. While the fabrication of these independent, shallow gratings requires more effort than that of the fully etched couplers, the result highlights the close relation of the presented couplers with the principles of EOT and shows a potential way to optimize these structures. Another way to optimize the structure without adding either too much fabricational complexity or more lithographic steps is to follow the ideas of Søndergaard et al. and tilt the sidewall angles of the grating bars.56 Preliminary simulations show that the CE can be improved by ∼0.5 dB.
In a final demonstration, we return to the idea of the fully etched couplers and fabricate a vertically stacked plasmonic phase modulator as an active application example.57 Electron micrographs are shown in Figure 4a,b. Instead of the 100 nm-thick SiON layer of the device described above, a 10 nm-thick TiO2 charge-blocking layer58 and a 140 nm-thick film of the organic electro-optic material HLD1/259 have been sandwiched between the top and bottom metal electrodes. The fiber-to-fiber transmission peak is −16.7 dB at 1370 nm (see Figure 4c) and is decreased as compared to the passive device. This is due to fabrication challenges when structuring an upper metal sheet on top of an organic layer.
Electro-optic characterization was carried out as described in Supplementary Section 6. A sinusoidal radio frequency signal was fed to the chip, and the modulation efficiency was measured at several wavelength points in the same device. Figure 4d shows that the modulation is stronger at lower wavelengths, closer to the resonance of the OEO molecules. This behavior reproduces the findings of Haffner et al. with a similar chromophore in horizontal MIM slot waveguide modulators60 and serves as strong evidence that the light is coupled through the actual vertically stacked slot waveguide at all wavelengths and is not transmitted as a long-range surface plasmon polariton on top of the waveguide.
Eventually, the data modulation capacity of the phase shifter was tested in the O- and C-bands. Figure 4e shows the schematic of the data modulation setup and the received eye diagrams; see Supplementary Section 7 for details. A bit rate of 100 Gbit/s could be modulated and received at 1550 nm with a bit error ratio (BER) of 5.7 × 10–5. At 1310 nm, 50 Gbit/s could be modulated and received with a BER of 6.2 × 10–3. The performance penalty in the O-band might seem surprising, as both the insertion loss and the modulation efficiency are superior in the O-band. However, the available coherent receiver has been designed for C-band operation and was operated out-of-specifications to receive the O-band signal.
The presented vertical plasmonic platform offers a way to employ out-of-plane, vertically stacked plasmonic MIM slot waveguides. It features efficient and ultrabroadband coupling from a photonic fiber mode to the plasmonic MIM waveguide (350 nm-wide spectral passband with a peak coupling efficiency of −2.7 dB) and a simple fabrication, requiring neither precise alignment nor features smaller than 250 nm. This fact sets it apart from conventional plasmonic MIM waveguides that are dependent on e-beam lithography. In an application example, we employ the new platform and fabricate a plasmonic–organic hybrid electro-optic modulator. While the measured data rate of 100 Gbit/s is state-of-the art, the device benefits from the simple fabrication and can be operated both in the C- and O-bands. We think that the presented platform lowers the complexity of plasmonic devices and makes experiments in the plasmonic regime more easily achievable. This would benefit applications in science, technology, and engineering.
Acknowledgments
This work was carried out in the Binning and Rohrer Nanotechnology Center. The authors acknowledge financial support from the ERC under grants 670478 PLASILOR, H2020-780997 plaCMOS, H2020-863155 NEBULA, and H2020-871391 PlasmoniAC and from the ASFOR, Grant FA9550-19-1-0069. We thank the Cleanroom Operations Team of the Binnig and Rohrer Nanotechnology Center (BRNC) for their help and support. A.M. thanks Henri Lezec for the fruitful discussion on the functional principle of the coupling mechanism.
Glossary
Abbreviations
- MIM
metal–insulator–metal
- VSPP
vertically stacked plasmonic platform
- BER
bit error ratio
- CE
Coupling Efficiency
- EOT
Extraordinary Optical Transmission
- FP
Fabry-Pérot
Supporting Information Available
The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acs.nanolett.0c05069.
Device design and fabrication, the fiber-to-slot coupling mechanism and the influence of the device dimensions on the coupling efficiency, and details of the optical and electro-optical characterization experiments (PDF)
Author Present Address
∇ P.A.J.: DECTRIS Ltd., Taefernweg 1, 5405 Baden-Daettwil, Switzerland.
Author Present Address
○ C.H.: IMEC, 3001 Leuven, Belgium.
Author Contributions
A.M., P.A.J., J.W., P.M., C.H., and J.L. have developed the device and coupling concept. A.M., P.A.J., J.W., U.K., C.H., and P.M. have designed the devices, which have been fabricated by A.M., P.A.J., and P.M. H.X., D.L.E., and L.R.D. have synthesized the organic electro-optic material HLD1/HLD2, which has been processed and deposited by W.H. A.M., P.A.J., and M.E. have carried out the measurements with the support of W.H. and B.B. for data measurements. A.M., P.A.J., U.K., D.C., and J.S. have carried out the simulations. All authors have contributed to the writing of the manuscript.
The authors declare the following competing financial interest(s): W.H., B.B., and J.L. are involved in activities to commercialize plasmonic modulators at Polariton Technologies Ltd. The remaining authors declare no competing interests.
Supplementary Material
References
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