Optical spatial differentiator for a synthetic three-dimensional optical field.

We propose a grating-based spatial differentiator to process a synthetic three-dimensional optical field, where several conventional two-dimensional optical images are stacked at multiple wavelengths. The device simultaneously enables both spatial differentiation and demultiplexing during light diffraction. We show the spatial differentiation resulting from coupling and interference of spatial modes and derive the theoretical condition for spatial differentiation based on spatial coupled-mode theory. We numerically investigate field transformation during diffraction and demonstrate spatial differentiation with image processing of edge detection for a synthetic three-dimensional optical field, where four images are stored at different wavelengths.

[1]  A Yariv,et al.  Optical data storage using orthogonal wavelength multiplexed volume holograms. , 1992, Optics letters.

[2]  Tengfeng Zhu,et al.  Spatial coupled-mode theory for surface plasmon polariton excitation at metallic gratings , 2016 .

[3]  Shanhui Fan,et al.  Photonic crystal slab Laplace operator for image differentiation , 2018 .

[4]  H. Ditlbacher,et al.  Spectrally coded optical data storage by metal nanoparticles. , 2000, Optics letters.

[5]  Andrea Alù,et al.  Performing Mathematical Operations with Metamaterials , 2014, Science.

[6]  J. Joannopoulos,et al.  Temporal coupled-mode theory for the Fano resonance in optical resonators. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[7]  Ata Chizari,et al.  Analog optical computing based on a dielectric meta-reflect array. , 2016, Optics letters.

[8]  Charles A. Brackett,et al.  Dense Wavelength Division Multiplexing Networks: Principles and Applications , 1990, IEEE J. Sel. Areas Commun..

[9]  Payal Verma,et al.  First-order optical spatial differentiator based on a guided-mode resonant grating. , 2018, Optics express.

[10]  Shanhui Fan,et al.  A Photonic Crystal Slab Laplace Differentiator , 2017, 2018 Conference on Lasers and Electro-Optics (CLEO).

[11]  Yisheng Fang,et al.  On-grating graphene surface plasmons enabling spatial differentiation in the terahertz region. , 2017, Optics letters.

[12]  Xiaoxu Deng,et al.  Optical Spatial Differentiator Based on Subwavelength High-Contrast Gratings , 2018, 2019 Conference on Lasers and Electro-Optics (CLEO).

[13]  Leonid L Doskolovich,et al.  Spatial differentiation of optical beams using phase-shifted Bragg grating. , 2014, Optics letters.

[14]  Weixuan Zhang,et al.  Solving constant-coefficient differential equations with dielectric metamaterials , 2016 .

[15]  Min Gu,et al.  Five-dimensional optical recording mediated by surface plasmons in gold nanorods , 2009, Nature.

[16]  Ting Wang,et al.  64-Tb/s, 8 b/s/Hz, PDM-36QAM Transmission Over 320 km Using Both Pre- and Post-Transmission Digital Signal Processing , 2011, Journal of Lightwave Technology.

[17]  Zahra Kavehvash,et al.  Analog Computing Using Graphene-based Metalines , 2015, Optics letters.

[18]  Peter J. Winzer,et al.  Making spatial multiplexing a reality , 2014, Nature Photonics.

[19]  Victor A. Soifer,et al.  Spatial differentiation of Bloch surface wave beams using an on-chip phase-shifted Bragg grating , 2016 .

[20]  A. Willner,et al.  Terabit free-space data transmission employing orbital angular momentum multiplexing , 2012, Nature Photonics.

[21]  L. Nelson,et al.  Space-division multiplexing in optical fibres , 2013, Nature Photonics.

[22]  D. Bykov,et al.  Spatiotemporal pulse shaping using resonant diffraction gratings. , 2015, Optics letters.

[23]  Ata Chizari,et al.  Dielectric metasurfaces solve differential and integro-differential equations. , 2017, Optics letters.

[24]  David J. Brady,et al.  Multidimensional tomographic imaging using volume holography , 1999, Proc. IEEE.

[25]  Anders Pors,et al.  Analog computing using reflective plasmonic metasurfaces. , 2015, Nano letters.

[26]  José Azaña,et al.  Long-period fiber gratings as ultrafast optical differentiators. , 2005, Optics letters.

[27]  Xiaopeng Zhao,et al.  Performing differential operation with a silver dendritic metasurface at visible wavelengths. , 2017, Optics express.

[28]  Amin Khavasi,et al.  Analog computing by Brewster effect. , 2016, Optics letters.

[29]  Peter J. Winzer,et al.  Beyond 100G Ethernet , 2010, IEEE Communications Magazine.

[30]  Erez Hasman,et al.  Dielectric gradient metasurface optical elements , 2014, Science.

[31]  K. Nosu,et al.  Review and status of wavelength-division-multiplexing technology and its application , 1984 .

[32]  Shanhui Fan,et al.  Spatial control of surface plasmon polariton excitation at planar metal surface. , 2014, Optics letters.

[33]  Shanhui Fan,et al.  Plasmonic computing of spatial differentiation , 2017, Nature Communications.

[34]  P. J. Winzer,et al.  High-Spectral-Efficiency Optical Modulation Formats , 2012, Journal of Lightwave Technology.

[35]  Masato Mizoguchi,et al.  Ultra-High Capacity WDM Transmission Using Spectrally-Efficient PDM 16-QAM Modulation and C- and Extended L-Band Wideband Optical Amplification , 2011, Journal of Lightwave Technology.

[36]  Leonid L Doskolovich,et al.  Optical computation of the Laplace operator using phase-shifted Bragg grating. , 2014, Optics express.

[37]  Eugenia Kumacheva,et al.  A Multidye Nanostructured Material for Optical Data Storage and Security Data Encryption , 2004 .

[38]  Zhichao Ruan,et al.  Spatial mode control of surface plasmon polariton excitation with gain medium: from spatial differentiator to integrator. , 2015, Optics letters.