An Optical Super-Microscope for Far-field, Real-time Imaging Beyond the Diffraction Limit

Optical microscopy suffers from a fundamental resolution limitation arising from the diffractive nature of light. While current solutions to sub-diffraction optical microscopy involve combinations of near-field, non-linear and fine scanning operations, we hereby propose and demonstrate the optical super-microscope (OSM) - a superoscillation-based linear imaging system with far-field working and observation distances - which can image an object in real-time and with sub-diffraction resolution. With our proof-of-principle prototype we report a point spread function with a spot size clearly reduced from the diffraction limit, and demonstrate corresponding improvements in two-point resolution experiments. Harnessing a new understanding of superoscillations, based on antenna array theory, our OSM achieves far-field, sub-diffraction optical imaging of an object without the need for fine scanning, data post-processing or object pre-treatment. Hence the OSM can be used in a wide variety of imaging applications beyond the diffraction limit, including real-time imaging of moving objects.

[1]  Fang Li,et al.  Far-field Imaging beyond the Diffraction Limit Using a Single Radar , 2014 .

[2]  Z. Zalevsky,et al.  Subwavelength structure imaging , 2004 .

[3]  P. Sheng,et al.  Theory and Simulations , 2003 .

[4]  P.J.S.G. Ferreira,et al.  Superoscillations: Faster Than the Nyquist Rate , 2006, IEEE Transactions on Signal Processing.

[5]  Vaidman,et al.  Superpositions of time evolutions of a quantum system and a quantum time-translation machine. , 1990, Physical review letters.

[6]  Z. Jacob,et al.  Optical Hyperlens: Far-field imaging beyond the diffraction limit. , 2006, Optics express.

[7]  Jani Tervo,et al.  Limitations of superoscillation filters in microscopy applications. , 2012, Optics letters.

[8]  Mark R. Dennis,et al.  A super-oscillatory lens optical microscope for subwavelength imaging. , 2012, Nature materials.

[9]  Lord Rayleigh,et al.  On the Theory of Optical Images, with Special Reference to the Microscope , 1903 .

[10]  Zhaowei Liu,et al.  Far-Field Optical Hyperlens Magnifying Sub-Diffraction-Limited Objects , 2007, Science.

[11]  Nikolay I Zheludev,et al.  Super-resolution without evanescent waves. , 2008, Nano letters.

[12]  Alessandro Salandrino,et al.  Far-field subdiffraction optical microscopy using metamaterial crystals: Theory and simulations , 2006 .

[13]  J. Anandan,et al.  Quantum Coherenece and Reality, In Celebration of the 60th Birthday of Yakir Aharonov , 1995 .

[14]  Deeph Chana,et al.  Superresolution in Scanning Optical Systems , 2003 .

[15]  N. Fang,et al.  Sub–Diffraction-Limited Optical Imaging with a Silver Superlens , 2005, Science.

[16]  Yan Wang,et al.  Spatially shifted beam approach to subwavelength focusing. , 2008, Physical review letters.

[17]  Nikolay I. Zheludev,et al.  Far field subwavelength focusing using optical eigenmodes , 2011 .

[18]  F. Yu,et al.  Simple method for measuring phase modulation in liquid crystal televisions , 1994 .

[19]  J. Lippincott-Schwartz,et al.  Imaging Intracellular Fluorescent Proteins at Nanometer Resolution , 2006, Science.

[20]  M Isaacson,et al.  Near Field Scanning Optical Microscopy (NSOM): Development and Biophysical Applications. , 1986, Biophysical journal.

[21]  H. Pollak,et al.  Prolate spheroidal wave functions, fourier analysis and uncertainty — III: The dimension of the space of essentially time- and band-limited signals , 1962 .

[22]  Stefan W. Hell,et al.  Supporting Online Material Materials and Methods Figs. S1 to S9 Tables S1 and S2 References Video-rate Far-field Optical Nanoscopy Dissects Synaptic Vesicle Movement , 2022 .

[23]  G. Toraldo di Francia,et al.  Super-gain antennas and optical resolving power , 1952 .

[24]  W. Denk,et al.  Optical stethoscopy: Image recording with resolution λ/20 , 1984 .

[25]  D. Slepian,et al.  Prolate spheroidal wave functions, fourier analysis and uncertainty — II , 1961 .

[26]  R. Sec..  XV. On the theory of optical images, with special reference to the microscope , 2009 .

[27]  Anthony Grbic,et al.  Near-Field Plates: Subdiffraction Focusing with Patterned Surfaces , 2008, Science.

[28]  E. G. van Putten,et al.  Spatial amplitude and phase modulation using commercial twisted nematic LCDs. , 2007, Applied optics.

[29]  T. Taylor.  Design of line-source antennas for narrow beamwidth and low side lobes , 1955 .

[30]  M. Martínez-Corral,et al.  Asymmetric apodization in confocal scanning systems. , 1998, Applied optics.

[31]  W. Denk,et al.  Two-photon laser scanning fluorescence microscopy. , 1990, Science.

[32]  R. Marchiano,et al.  Transverse shift of helical beams and subdiffraction imaging. , 2010, Physical review letters.

[33]  J. Pendry,et al.  Negative refraction makes a perfect lens , 2000, Physical review letters.

[34]  C.L. Dolph,et al.  A Current Distribution for Broadside Arrays Which Optimizes the Relationship between Beam Width and Side-Lobe Level , 1946, Proceedings of the IRE.

[35]  E. Abbe.  Beiträge zur Theorie des Mikroskops und der mikroskopischen Wahrnehmung , 1873 .

[36]  Fu-Jen Kao,et al.  Optical Imaging and Microscopy , 2003 .

[37]  George V Eleftheriades,et al.  Adaptation of Schelkunoff's Superdirective Antenna Theory for the Realization of Superoscillatory Antenna Arrays , 2010, IEEE Antennas and Wireless Propagation Letters.

[38]  Yonina C. Eldar,et al.  Sparsity-based single-shot sub-wavelength coherent diffractive imaging , 2011, 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel.

[39]  Michael J Rust,et al.  Sub-diffraction-limit imaging by stochastic optical reconstruction microscopy (STORM) , 2006, Nature Methods.

[40]  G. Eleftheriades,et al.  Sub-Wavelength Focusing at the Multi-Wavelength Range Using Superoscillations: An Experimental Demonstration , 2011, IEEE Transactions on Antennas and Propagation.