Terahertz pulse shaping using diffractive surfaces

Recent advances in deep learning have been providing non-intuitive solutions to various inverse problems in optics. At the intersection of machine learning and optics, diffractive networks merge wave-optics with deep learning to design task-specific elements to all-optically perform various tasks such as object classification and machine vision. Here, we present a diffractive network, which is used to shape an arbitrary broadband pulse into a desired optical waveform, forming a compact and passive pulse engineering system. We demonstrate the synthesis of various different pulses by designing diffractive layers that collectively engineer the temporal waveform of an input terahertz pulse. Our results demonstrate direct pulse shaping in terahertz spectrum, where the amplitude and phase of the input wavelengths are independently controlled through a passive diffractive device, without the need for an external pump. Furthermore, a physical transfer learning approach is presented to illustrate pulse-width tunability by replacing part of an existing network with newly trained diffractive layers, demonstrating its modularity. This learning-based diffractive pulse engineering framework can find broad applications in e.g., communications, ultra-fast imaging and spectroscopy. Diffractive networks have recently been discussed as an all-optical analogue for performing neural network operations. The authors present a method using deep learning-designed 3D-printed diffractive surfaces to engineer temporal waveforms and perform pulse shaping in the terahertz regime.

[1]  Yibo Zhang,et al.  Extended depth-of-field in holographic image reconstruction using deep learning based auto-focusing and phase-recovery , 2018, Optica.

[2]  Tal Ellenbogen,et al.  Generation of spatiotemporally tailored terahertz wavepackets by nonlinear metasurfaces , 2019, Nature Communications.

[3]  Michael Mrejen,et al.  Plasmonic nanostructure design and characterization via Deep Learning , 2018, Light: Science & Applications.

[4]  Vladislav V. Yakovlev,et al.  Feedback quantum control of molecular electronic population transfer , 1997 .

[5]  Zachary S. Ballard,et al.  Deep learning-enabled point-of-care sensing using multiplexed paper-based sensors , 2020, npj Digital Medicine.

[6]  Dirk Englund,et al.  Deep learning with coherent nanophotonic circuits , 2017, 2017 Fifth Berkeley Symposium on Energy Efficient Electronic Systems & Steep Transistors Workshop (E3S).

[7]  Wenqi Zhu,et al.  Ultrafast optical pulse shaping using dielectric metasurfaces , 2019, Science.

[8]  Gerard Mourou,et al.  Compression of amplified chirped optical pulses , 1985 .

[9]  Yi Luo,et al.  Analysis of Diffractive Optical Neural Networks and Their Integration With Electronic Neural Networks , 2018, IEEE Journal of Selected Topics in Quantum Electronics.

[10]  Nina Linder,et al.  Point-of-care mobile digital microscopy and deep learning for the detection of soil-transmitted helminths and Schistosoma haematobium , 2017, Global health action.

[11]  A. Weiner Ultrafast optical pulse shaping: A tutorial review , 2011 .

[12]  P Kuske,et al.  Brilliant, coherent far-infrared (THz) synchrotron radiation. , 2003, Physical review letters.

[13]  Jason Weston,et al.  A unified architecture for natural language processing: deep neural networks with multitask learning , 2008, ICML '08.

[14]  Yun-Shik Lee,et al.  Generation of arbitrary terahertz wave forms in fanned-out periodically poled lithium niobate , 2006 .

[15]  Ulrich A. Russek,et al.  Pulse compression by use of deformable mirrors. , 1999, Optics letters.

[16]  Guigang Zhang,et al.  Deep Learning , 2016, Int. J. Semantic Comput..

[17]  Yibo Zhang,et al.  Phase recovery and holographic image reconstruction using deep learning in neural networks , 2017, Light: Science & Applications.

[18]  Navid Borhani,et al.  Learning to see through multimode fibers , 2018, Optica.

[19]  F. Krausz,et al.  Chirped multilayer coatings for broadband dispersion control in femtosecond lasers. , 1994, Optics letters.

[20]  Nezih Tolga Yardimci,et al.  High Sensitivity Terahertz Detection through Large-Area Plasmonic Nano-Antenna Arrays , 2016, Scientific Reports.

[21]  D. Strickland,et al.  Femtosecond laser pulse shaping by use of microsecond radio-frequency pulses. , 1994, Optics letters.

[22]  Alexander Podzorov,et al.  Low-loss polymers for terahertz applications. , 2008, Applied optics.

[23]  Mattias Beck,et al.  Short pulse generation and mode control of broadband terahertz quantum cascade lasers , 2016, 1605.09528.

[24]  Ryan Hamerly,et al.  Large-Scale Optical Neural Networks based on Photoelectric Multiplication , 2018, Physical Review X.

[25]  Chen-Bin Huang,et al.  Femtosecond pulse shaping in two dimensions: towards higher complexity optical waveforms. , 2008, Optics express.

[26]  Bram van Ginneken,et al.  A survey on deep learning in medical image analysis , 2017, Medical Image Anal..

[27]  D. W. van der Weide,et al.  Delta‐doped Schottky diode nonlinear transmission lines for 480‐fs, 3.5‐V transients , 1994 .

[28]  Yibo Zhang,et al.  Deep learning enhanced mobile-phone microscopy , 2017, ACS Photonics.

[29]  A. Weiner,et al.  Programmable femtosecond pulse shaping by use of a multielement liquid-crystal phase modulator. , 1990, Optics letters.

[30]  Zachary S. Ballard,et al.  Point-of-Care Serodiagnostic Test for Early-Stage Lyme Disease Using a Multiplexed Paper-Based Immunoassay and Machine Learning. , 2019, ACS nano.

[31]  Mario Miscuglio,et al.  All-optical nonlinear activation function for photonic neural networks [Invited] , 2018, Optical Materials Express.

[32]  Warren S. Warren,et al.  High-resolution acousto-optic shaping of unamplified and amplified femtosecond laser pulses , 1997 .

[33]  A. Ozcan,et al.  Deep learning enables cross-modality super-resolution in fluorescence microscopy , 2018, Nature Methods.

[34]  Yibo Zhang,et al.  Deep Learning Microscopy , 2017, ArXiv.

[35]  Semih Cakmakyapan,et al.  Reconfigurable metamaterials for terahertz wave manipulation , 2017, Reports on progress in physics. Physical Society.

[36]  Carlo Sirtori,et al.  Coherent sampling of active mode-locked terahertz quantum cascade lasers and frequency synthesis , 2011 .

[37]  Willie J Padilla,et al.  THz Wave Modulators: A Brief Review on Different Modulation Techniques , 2013 .

[38]  D Yelin,et al.  Adaptive femtosecond pulse compression. , 1997, Optics letters.

[39]  D. Cooke,et al.  Direct temporal shaping of terahertz light pulses , 2017 .

[40]  A. Weiner Femtosecond pulse shaping using spatial light modulators , 2000 .

[41]  Aydogan Ozcan,et al.  Bright-field holography: cross-modality deep learning enables snapshot 3D imaging with bright-field contrast using a single hologram , 2018, Light: Science & Applications.

[42]  Qing Hu,et al.  Terahertz laser frequency combs , 2014 .

[43]  Markku Kuittinen,et al.  Fabrication of terahertz wire-grid polarizers. , 2012, Applied optics.

[44]  D. Bucknall,et al.  Control of Chemical Reactions by Feedback-Optimized Phase-Shaped Femtosecond Laser Pulses , 1998 .

[45]  Shanhui Fan,et al.  Wave physics as an analog recurrent neural network , 2019, Science Advances.

[46]  Kosuke Yoshioka,et al.  Terahertz polarization pulse shaping with arbitrary field control , 2013, Nature Photonics.

[47]  Andrew M. Weiner,et al.  Terahertz waveform synthesis via optical pulse shaping , 1996 .

[48]  Adaptive control of pulse phase in a chirped-pulse amplifier. , 1998 .

[49]  Yi Luo,et al.  Class-specific differential detection in diffractive optical neural networks improves inference accuracy , 2019, Advanced Photonics.

[50]  Geoffrey E. Hinton,et al.  Deep Learning , 2015, Nature.

[51]  M. C. Soriano,et al.  Advances in photonic reservoir computing , 2017 .

[52]  Tomer Michaeli,et al.  Deep-STORM: super-resolution single-molecule microscopy by deep learning , 2018, 1801.09631.

[53]  Aydogan Ozcan,et al.  Three-dimensional virtual refocusing of fluorescence microscopy images using deep learning , 2019, Nature Methods.

[54]  Christophe Zimmer,et al.  Deep learning massively accelerates super-resolution localization microscopy , 2018, Nature Biotechnology.

[55]  Laurent Larger,et al.  Reinforcement Learning in a large scale photonic Recurrent Neural Network , 2017, Optica.

[56]  Gerber,et al.  Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses , 1998, Science.

[57]  Aydogan Ozcan,et al.  All-Optical Information Processing Capacity of Diffractive Surfaces , 2020, ArXiv.

[58]  D H Reitze,et al.  Adaptive control of pulse phase in a chirped-pulse amplifier. , 1998, Optics letters.

[59]  Christopher W. Berry,et al.  High-Power Terahertz Generation Using Large-Area Plasmonic Photoconductive Emitters , 2015, IEEE Transactions on Terahertz Science and Technology.

[60]  Yi Luo,et al.  Deep Learning Enables High-Throughput Analysis of Particle-Aggregation-Based Biosensors Imaged Using Holography , 2018, ACS Photonics.

[61]  Miles H. Anderson,et al.  Microresonator-based solitons for massively parallel coherent optical communications , 2016, Nature.

[62]  Zongfu Yu,et al.  Training Deep Neural Networks for the Inverse Design of Nanophotonic Structures , 2017, 2019 Conference on Lasers and Electro-Optics (CLEO).

[63]  Thomas L. Dean,et al.  Neural Networks and Neuroscience-Inspired Computer Vision , 2014, Current Biology.

[64]  Aydin Babakhani,et al.  Broadband Oscillator-Free THz Pulse Generation and Radiation Based on Direct Digital-to-Impulse Architecture , 2017, IEEE Journal of Solid-State Circuits.

[65]  Yi Luo,et al.  Design of task-specific optical systems using broadband diffractive neural networks , 2019, Light, science & applications.

[66]  Yi Yang,et al.  Nanophotonic particle simulation and inverse design using artificial neural networks , 2018, Science Advances.

[67]  Yibo Zhang,et al.  PhaseStain: the digital staining of label-free quantitative phase microscopy images using deep learning , 2018, Light: Science & Applications.

[68]  J. Hebling,et al.  Generation, tuning, and shaping of narrow-band, picosecond THz pulses by two-beam excitation. , 2004, Optics express.

[69]  Shuai Li,et al.  Lensless computational imaging through deep learning , 2017, ArXiv.

[70]  Brent M. Polishak,et al.  Broadband terahertz characterization of the refractive index and absorption of some important polymeric and organic electro-optic materials , 2011 .

[71]  Kürşat Şendur,et al.  Femtosecond pulse shaping by ultrathin plasmonic metasurfaces , 2016 .

[72]  A. A. Fedyanin,et al.  Femtosecond pulse shaping with plasmonic crystals , 2015 .

[73]  H. Kitahara,et al.  Terahertz wave dispersion in two-dimensional photonic crystals , 2001 .

[74]  Yi Luo,et al.  All-optical machine learning using diffractive deep neural networks , 2018, Science.

[75]  A. Ozcan,et al.  Computational Sensing of Staphylococcus aureus on Contact Lenses Using 3D Imaging of Curved Surfaces and Machine Learning. , 2018, ACS nano.

[76]  Yun-Sik Jin,et al.  Terahertz Dielectric Properties of Polymers , 2006 .