Scaling vectors of attoJoule per bit modulators

Electro-optic modulation performs the conversion between the electrical and optical domain with applications in data communication for optical interconnects, but also for novel optical computing algorithms such as providing nonlinearity at the output stage of optical perceptrons in neuromorphic analog optical computing. While resembling an optical transistor, the weak light– matter-interaction makes modulators 10 times larger compared to their electronic counterparts. Since the clock frequency for photonics on-chip has a power-overhead sweet-spot around tens of GHz, ultrafast modulation may only be required in long-distance communication, not for short on-chip links. Hence, the search is open for power-efficient on-chip modulators beyond the solutions offered by foundries to date. Here, we show scaling vectors towards atto-Joule per bit efficient modulators on-chip as well as some experimental demonstrations of novel plasmonic modulators with sub-fJ/bit efficiencies. Our parametric study of placing different actively modulated materials into plasmonic versus photonic optical modes shows that 2D materials overcompensate their miniscule modal overlap by their unity-high index change. Furthermore, we reveal that the metal used in plasmonic-based modulators not only serves as an electrical contact, but also enables low electrical series resistances leading to near-ideal capacitors. We then discuss the first experimental demonstration of a photon-plasmon-hybrid graphene-based electro-absorption modulator on silicon. The device shows a sub-1 V steep switching enabled by near-ideal electrostatics delivering a high 0.05 dB V μm performance requiring only 110 aJ/ bit. Improving on this demonstration, we discuss a plasmonic slot-based graphene modulator design, where the polarization of the plasmonic mode aligns with graphene’s in-plane dimension; where a push–pull dual-gating scheme enables 2 dB V μm efficient modulation allowing the device to be just 770 nm short for 3 dB small signal modulation. Lastly, comparing the switching energy of transistors to modulators shows that modulators based on emerging materials and plasmonic-silicon hybrid integration perform on-par relative to their electronic counter parts. This in turn allows for a device-enabled two orders-of-magnitude improvement of electrical-optical co-integrated network-on-chips over electronic-only architectures. The latter opens technological opportunities in cognitive computing, dynamic data-driven applications systems, and optical analog computer engines including neuromorphic photonic computing. Journal of Optics J. Opt. 20 (2018) 014012 (16pp) https://doi.org/10.1088/2040-8986/aa9e11 4 This article belongs to the special issue: Emerging Leaders, which features invited work from the best early-career researchers working within the scope of the Journal of Optics. Professor Volker Sorger was selected by the Editorial Board of the Journal of Optics as an Emerging Leader. 2040-8978/18/014012+16$33.00 © 2017 IOP Publishing Ltd Printed in the UK 1

[1]  Hongtao Lin,et al.  Breaking the Energy-Bandwidth Limit of Electrooptic Modulators: Theory and a Device Proposal , 2013, Journal of Lightwave Technology.

[2]  J. Leuthold,et al.  Low Power Mach–Zehnder Modulator in Silicon-Organic Hybrid Technology , 2013, IEEE Photonics Technology Letters.

[3]  N. Dagli,et al.  Ultralow Drive Voltage Substrate Removed GaAs/AlGaAs Electro-Optic Modulators at 1550 nm , 2013, IEEE Journal of Selected Topics in Quantum Electronics.

[4]  Xiang Zhang,et al.  Plasmonic Fabry-Pérot nanocavity. , 2009, Nano letters.

[5]  Hang,et al.  Electro-optic routing of photons from a single quantum dot in photonic integrated circuits , 2018 .

[6]  A. Majumdar,et al.  Nanocavity Integrated van der Waals Heterostructure Light-Emitting Tunneling Diode. , 2017, Nano letters.

[7]  Volker J. Sorger,et al.  MorphoNoC: Exploring the Design Space of a Configurable Hybrid NoC using Nanophotonics , 2016, Microprocess. Microsystems.

[8]  Volker J. Sorger,et al.  Indium-Tin-Oxide for High-performance Electro-optic Modulation , 2015, 2305.10639.

[9]  H.-S. Philip Wong,et al.  Beyond the conventional transistor , 2002, IBM J. Res. Dev..

[10]  David A. B. Miller Attojoule Optoelectronics for Low-Energy Information Processing and Communications , 2017, Journal of Lightwave Technology.

[11]  X. Zhang,et al.  A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation , 2008 .

[12]  Mohammad H. Tahersima,et al.  Sub-wavelength Plasmonic Graphene-based Slot Electro-optic Modulator , 2017 .

[13]  Wolfgang Freude,et al.  DAC-Less Amplifier-Less Generation and Transmission of QAM Signals Using Sub-Volt Silicon-Organic Hybrid Modulators , 2015, Journal of Lightwave Technology.

[14]  Ahmed Louri,et al.  A Methodology for Cognitive NoC Design , 2016, IEEE Computer Architecture Letters.

[15]  Volker J. Sorger,et al.  Active material, optical mode and cavity impact on nanoscale electro-optic modulation performance , 2017 .

[16]  Volker J. Sorger,et al.  λ-Size ITO and Graphene-Based Electro-Optic Modulators on SOI , 2014, IEEE Journal of Selected Topics in Quantum Electronics.

[17]  Volker J. Sorger,et al.  Monolithic III–V on Silicon Plasmonic Nanolaser Structure for Optical Interconnects , 2015, Scientific Reports.

[18]  Volker J. Sorger,et al.  A Sub-- Size Modulator Beyond the Efficiency-Loss Limit Volume 5 , Number 4 , August 2013 , 2013 .

[19]  Zhang,et al.  Low (Sub-1-volt) halfwave voltage polymeric electro-optic modulators achieved by controlling chromophore shape , 2000, Science.

[20]  X. Zhang,et al.  Ultra-compact silicon nanophotonic modulator with broadband response , 2012 .

[21]  Volker J. Sorger,et al.  Photonic-Plasmonic Hybrid Interconnects: a Low-latency Energy and Footprint Efficient Link , 2015 .

[22]  Xiang Zhang,et al.  A graphene-based broadband optical modulator , 2011, Nature.

[23]  H.-S. Philip Wong Beyond the conventional transistor , 2002, IBM J. Res. Dev..

[24]  Volker J. Sorger,et al.  Nano-optics gets practical. , 2015, Nature nanotechnology.

[25]  Mohammad H. Tahersima,et al.  Two-Dimensional Material-Based Mode Confinement Engineering in Electro-Optic Modulators , 2017, IEEE Journal of Selected Topics in Quantum Electronics.

[26]  Volker J. Sorger,et al.  Fundamental Scaling Laws in Nanophotonics , 2016, Scientific Reports.

[27]  Xiang Zhang,et al.  Toward integrated plasmonic circuits , 2012 .

[28]  Y. Wang,et al.  Athermal Broadband Graphene Optical Modulator with 35 GHz Speed , 2016 .

[29]  Volker J. Sorger,et al.  A compact plasmonic MOS-based 2×2 electro-optic switch , 2015, 1506.02337.

[30]  Juerg Leuthold,et al.  Atomic Scale Plasmonic Switch. , 2016, Nano letters.

[31]  Xiang Zhang,et al.  Double-layer graphene optical modulator. , 2012, Nano letters.

[32]  A. Majumdar,et al.  A forming-free bipolar resistive switching behavior based on ITO/V2O5/ITO structure , 2017 .

[33]  Volker J. Sorger,et al.  A Sub-$\lambda$-Size Modulator Beyond the Efficiency-Loss Limit , 2013, IEEE Photonics Journal.

[34]  R. Agarwal,et al.  2D materials in electro-optic modulation: energy efficiency, electrostatics, mode overlap, material transfer and integration , 2017, 1708.05986.

[35]  Xiang Zhang,et al.  Strongly enhanced molecular fluorescence inside a nanoscale waveguide gap. , 2011, Nano letters.

[36]  Volker J. Sorger,et al.  Silicon Plasmon Modulators: Breaking Photonic Limits , 2013 .

[37]  D. Ansell,et al.  Hybrid graphene plasmonic waveguide modulators , 2015, Nature communications.

[38]  Volker J. Sorger,et al.  Review and perspective on ultrafast wavelength‐size electro‐optic modulators , 2015 .

[39]  David A B Miller,et al.  Low-voltage broad-band electroabsorption from thin Ge/SiGe quantum wells epitaxially grown on silicon. , 2013, Optics express.

[40]  Volker J. Sorger,et al.  Electrically-driven carbon nanotube-based plasmonic laser on silicon , 2015, 2305.09871.

[41]  Xiang Zhang,et al.  Plasmon lasers at deep subwavelength scale , 2009, Nature.

[42]  Xiang Zhang,et al.  High-Q surface-plasmon whispering-gallery microcavity , 2009, 2009 Conference on Lasers and Electro-Optics and 2009 Conference on Quantum electronics and Laser Science Conference.

[43]  Tarek El-Ghazawi,et al.  Low latency, area, and energy efficient Hybrid Photonic Plasmonic on-chip Interconnects (HyPPI) , 2016, SPIE OPTO.

[44]  Volker J. Sorger,et al.  Plasmon lasers: coherent light source at molecular scales , 2013 .

[45]  L K Oxenløwe,et al.  Efficient electro-optic modulation in low-loss graphene-plasmonic slot waveguides. , 2016, Nanoscale.

[46]  E.L. Wooten,et al.  A review of lithium niobate modulators for fiber-optic communications systems , 2000, IEEE Journal of Selected Topics in Quantum Electronics.

[47]  A. Yariv Critical coupling and its control in optical waveguide-ring resonator systems , 2002, IEEE Photonics Technology Letters.

[48]  Michal Lipson,et al.  Graphene electro-optic modulator with 30 GHz bandwidth , 2015, Nature Photonics.

[49]  Volker J. Sorger,et al.  Integrated Nanocavity Plasmon Light Sources for On-Chip Optical Interconnects , 2016 .

[50]  Wolfgang Freude,et al.  40 GBd 16QAM Signaling at 160 Gb/s in a Silicon-Organic Hybrid Modulator , 2015, Journal of Lightwave Technology.

[51]  Xiang Zhang,et al.  Electrical generation and control of the valley carriers in a monolayer transition metal dichalcogenide. , 2016, Nature nanotechnology.

[52]  Xiang Zhang,et al.  Room-temperature sub-diffraction-limited plasmon laser by total internal reflection. , 2010, Nature materials.

[53]  Rajeev J. Ram,et al.  Single-chip microprocessor that communicates directly using light , 2015, Nature.

[54]  K. Vahala,et al.  High-Q surface-plasmon-polariton whispering-gallery microcavity , 2009, Nature.

[55]  Andrea Melloni,et al.  Fundamental limits on the losses of phase and amplitude optical actuators , 2015, 1810.03451.

[56]  Raluca Dinu,et al.  Silicon-Organic Hybrid Electro-Optical Devices , 2013, IEEE Journal of Selected Topics in Quantum Electronics.

[57]  L. Oxenløwe,et al.  Efficient graphene based electro-optical modulator enabled by interfacing plasmonic slot and silicon waveguides , 2016 .

[58]  M. Lipson,et al.  High confinement in silicon slot waveguides with sharp bends. , 2006, Optics express.

[59]  Yurii A. Vlasov,et al.  Silicon CMOS-integrated nano-photonics for computer and data communications beyond 100G , 2012, IEEE Communications Magazine.

[60]  Xiaobo Yin,et al.  Experimental demonstration of low-loss optical waveguiding at deep sub-wavelength scales , 2011 .

[61]  Tarek El-Ghazawi,et al.  The Case for Hybrid Photonic Plasmonic Interconnects (HyPPIs): Low-Latency Energy-and-Area-Efficient On-Chip Interconnects , 2015, IEEE Photonics Journal.

[62]  Volker J. Sorger,et al.  Enhanced interaction strength for a square plasmon resonator embedded in a photonic crystal nanobeam cavity , 2015 .

[63]  Richard A. Soref,et al.  Plasmonic light-emission enhancement with isolated metal nanoparticles and their coupled arrays , 2008 .

[64]  Volker J. Sorger,et al.  A Universal Multi-Hierarchy Figure-of-Merit for On-Chip Computing and Communications , 2016, ArXiv.

[65]  Volker J. Sorger,et al.  A deterministic guide for material and mode dependence of on-chip electro-optic modulator performance , 2017 .

[66]  Sae Woo Nam,et al.  Superconducting optoelectronic circuits for neuromorphic computing , 2016, ArXiv.

[67]  Farnood Merrikh-Bayat,et al.  3-D Memristor Crossbars for Analog and Neuromorphic Computing Applications , 2017, IEEE Transactions on Electron Devices.

[68]  David Hillerkuss,et al.  All-plasmonic Mach–Zehnder modulator enabling optical high-speed communication at the microscale , 2015, Nature Photonics.