
1.Electrical and Computer Engineering Department, University of California, Los Angeles, CA 90095, USA
2.Bioengineering Department, University of California, Los Angeles, CA 90095, USA
3.California NanoSystems Institute, University of California, Los Angeles, CA 90095, USA
Aydogan Ozcan (ozcan@ucla.edu)
Published:2021,
Published Online:28 January 2021,
Received:11 August 2020,
Revised:16 November 2020,
Accepted:17 November 2020
Scan QR Code
Kulce, O. et al. All-optical information-processing capacity of diffractive surfaces. Light: Science & Applications, 10, 217-233 (2021).
Kulce, O. et al. All-optical information-processing capacity of diffractive surfaces. Light: Science & Applications, 10, 217-233 (2021). DOI: 10.1038/s41377-020-00439-9.
The precise engineering of materials and surfaces has been at the heart of some of the recent advances in optics and photonics. These advances related to the engineering of materials with new functionalities have also opened up exciting avenues for designing trainable surfaces that can perform computation and machine-learning tasks through light–matter interactions and diffraction. Here
we analyze the information-processing capacity of coherent optical networks formed by diffractive surfaces that are trained to perform an all-optical computational task between a given input and output field-of-view. We show that the dimensionality of the all-optical solution space covering the complex-valued transformations between the input and output fields-of-view is linearly proportional to the number of diffractive surfaces within the optical network
up to a limit that is dictated by the extent of the input and output fields-of-view. Deeper diffractive networks that are composed of larger numbers of trainable surfaces can cover a higher-dimensional subspace of the complex-valued linear transformations between a larger input field-of-view and a larger output field-of-view and exhibit depth advantages in terms of their statistical inference
learning
and generalization capabilities for different image classification tasks when compared with a single trainable diffractive surface. These analyses and conclusions are broadly applicable to various forms of diffractive surfaces
including
e.g.
plasmonic and/or dielectric-based metasurfaces and flat optics
which can be used to form all-optical processors.
Pendry, J.B. Negative refraction makes a perfect lens.Phys. Rev. Lett.85, 3966–3969 (2000)..
Cubukcu, E., Aydin, K., Ozbay, E., Foteinopoulo, S.&Soukoulis, C. M. Negative refraction by photonic crystals.Nature423, 604–605 (2003)..
Fang, N. Sub-diffraction-limited optical imaging with a silver superlens.Science308, 534–537 (2005)..
Jacob, Z., Alekseyev, L. V.&Narimanov, E. Optical hyperlens: far-field imaging beyond the diffraction limit.Opt. Express14, 8247–8256 (2006)..
Engheta, N. Circuits with light at nanoscales: optical nanocircuits inspired by metamaterials.Science317, 1698–1702 (2017)..
Liu, Z., Lee, H., Xiong, Y., Sun, C.&Zhang, X. Far-field optical hyperlens magnifying sub-diffraction-limited objects.Science315, 1686–1686 (2007)..
MacDonald, K. F., Sámson, Z. L., Stockman, M. I.&Zheludev, N. I. Ultrafast active plasmonics.Nat. Photon.3, 55–58 (2009)..
Lin, D., Fan, P., Hasman, E.&Brongersma, M. L. Dielectric gradient metasurface optical elements.Science345, 298–302 (2014)..
Yu, N.&Capasso, F. Flat optics with designer metasurfaces.Nat. Mater.13, 139–150 (2014)..
Kuznetsov, A. I., Miroshnichenko, A. E., Brongersma, M. L., Kivshar, Y. S.&Luk'yanchuk, B. Optically resonant dielectric nanostructures.Science354, aag2472 (2016)..
Shalaev, V. M. Optical negative-index metamaterials.Nat. Photon.1, 41–48 (2007)..
Chen, H. -T., Taylor, A. J.&Yu, N. A review of metasurfaces: physics and applications.Rep. Prog. Phys.79, 076401 (2016)..
Smith, D. R. Metamaterials and negative refractive index.Science305, 788–792 (2004)..
Yu, N. et al. Flat optics: controlling wavefronts with optical antenna metasurfaces.IEEE J. Sel. Top. Quantum Electron.19, 4700423 (2013)..
Maier, S. A. et al. Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides.Nat. Mater.2, 229–232 (2003)..
Alù, A.&Engheta, N. Achieving transparency with plasmonic and metamaterial coatings.Phys. Rev. E72, 016623 (2005)..
Schurig, D. et al. Metamaterial electromagnetic cloak at microwave frequencies.Science314, 977–980 (2006)..
Pendry, J. B. Controlling electromagnetic fields.Science312, 1780–1782 (2006)..
Cai, W., Chettiar, U. K., Kildishev, A. V.&Shalaev, V. M. Optical cloaking with metamaterials.Nat. Photon.1, 224–227 (2007)..
Valentine, J., Li, J., Zentgraf, T., Bartal, G.&Zhang, X. An optical cloak made of dielectrics.Nat. Mater.8, 568–571 (2009)..
Narimanov, E. E.&Kildishev, A. V. Optical black hole: broadband omnidirectional light absorber.Appl. Phys. Lett.95, 041106 (2009)..
Oulton, R. F. et al. Plasmon lasers at deep subwavelength scale.Nature461, 629–632 (2009)..
Zhao, Y., Belkin, M. A.&Alù, A. Twisted optical metamaterials for planarized ultrathin broadband circular polarizers.Nat. Commun.3, 870 (2012)..
Watts, C. M. et al. Terahertz compressive imaging with metamaterial spatial light modulators.Nat. Photon.8, 605–609 (2014)..
Estakhri, N. M., Edwards, B.&Engheta, N. Inverse-designed metastructures that solve equations.Science363, 1333–1338 (2019)..
Hughes, T. W., Williamson, I. A. D., Minkov, M.&Fan, S. Wave physics as an analog recurrent neural network.Sci. Adv.5, eaay6946 (2019)..
Qian, C. et al. Performing optical logic operations by a diffractive neural network.Light. Sci. Appl.9, 59 (2020)..
Psaltis, D., Brady, D., Gu, X. -G.&Lin, S. Holography in artificial neural networks.Nature343, 325–330 (1990)..
Shen, Y. et al. Deep learning with coherent nanophotonic circuits.Nat. Photon.11, 441–446 (2017)..
Shastri, B. J. et al. Neuromorphic photonics, principles of. InEncyclopedia of Complexity and Systems Science(eds Meyers, R. A. ) 1–37 (Springer, Berlin Heidelberg, 2018).https://doi.org/10.1007/978-3-642-27737-5_702-1https://doi.org/10.1007/978-3-642-27737-5_702-1..
Bueno, J. et al. Reinforcement learning in a large-scale photonic recurrent neural network.Optica5, 756 (2018)..
Feldmann, J., Youngblood, N., Wright, C. D., Bhaskaran, H.&Pernice, W. H. P. All-optical spiking neurosynaptic networks with self-learning capabilities.Nature569, 208–214 (2019)..
Miscuglio, M. et al. All-optical nonlinear activation function for photonic neural networks [Invited].Opt. Mater. Express8, 3851 (2018)..
Tait, A. N. et al. Neuromorphic photonic networks using silicon photonic weight banks.Sci. Rep.7, 7430 (2017)..
George, J. et al. Electrooptic nonlinear activation functions for vector matrix multiplications in optical neural networks. inAdvanced Photonics 2018 (BGPP, IPR, NP, NOMA, Sensors, Networks, SPPCom, SOF)SpW4G. 3 (OSA, 2018).https://doi.org/10.1364/SPPCOM.2018.SpW4G.3https://doi.org/10.1364/SPPCOM.2018.SpW4G.3..
Mehrabian, A., Al-Kabani, Y., Sorger, V. J.&El-Ghazawi, T. PCNNA: a photonic convolutional neural network accelerator. InProc. 31st IEEE International System-on-Chip Conference (SOCC)169–173 (2018).https://doi.org/10.1109/SOCC.2018.8618542https://doi.org/10.1109/SOCC.2018.8618542..
Sande, G. V., der, Brunner, D.&Soriano, M. C. Advances in photonic reservoir computing.Nanophotonics6, 561–576 (2017)..
Lin, X. et al. All-optical machine learning using diffractive deep neural networks.Science361, 1004–1008 (2018)..
Li, J., Mengu, D., Luo, Y., Rivenson, Y.&Ozcan, A. Class-specific differential detection in diffractive optical neural networks improves inference accuracy.AP1, 046001 (2019)..
Mengu, D., Luo, Y., Rivenson, Y.&Ozcan, A. Analysis of diffractive optical neural networks and their integration with electronic neural networks.IEEE J. Select. Top. Quantum Electron.26, 1–14 (2020)..
Veli, M. et al. Terahertz pulse shaping using diffractive surfaces.Nat. Commun.https://doi.org/10.1038/s41467-020-20268-zhttps://doi.org/10.1038/s41467-020-20268-z(2021)..
Luo, Y. et al. Design of task-specific optical systems using broadband diffractive neural networks.Light Sci. Appl.8, 112 (2019)..
Mengu, D. et al. Misalignment resilient diffractive optical networks.Nanophotonics9, 4207–4219 (2020)..
Li, J. et al. Machine vision using diffractive spectral encoding.https://arxiv.org/abs/2005.11387https://arxiv.org/abs/2005.11387(2020).[cs, eess, physics]
Esmer, G. B., Uzunov, V., Onural, L., Ozaktas, H. M.&Gotchev, A. Diffraction field computation from arbitrarily distributed data points in space.Signal Process. : Image Commun.22, 178–187 (2007)..
Goodman, J. W. inIntroduction to Fourier Optics. (Roberts and Company Publishers, Englewood, CO, 2005).
Zhang, Z., You, Z.&Chu, D. Fundamentals of phase-only liquid crystal on silicon (LCOS) devices.Light: Sci. Appl.3, e213 (2014)..
Moon, T. K.&Sterling, W. C. inMathematical methods and algorithms for signal processing(Prentice Hall, Upper Saddle River, NJ, 2000).
CIFAR-10 and CIFAR-100 datasets.https://www.cs.toronto.edu/~kriz/cifar.htmlhttps://www.cs.toronto.edu/~kriz/cifar.html(2009).
Kingma, D. P.&Ba, J. Adam: a method for stochastic optimization.https://arxiv.org/abs/1412.6980https://arxiv.org/abs/1412.6980(2014).
0
Views
0
Downloads
0
CSCD
Publicity Resources
Related Articles
Related Author
Related Institution
京公网安备11010802024621