A Photonic Crystal Slab Laplace Differentiator

We propose an implementation of a Laplace differentiator based on a photonic crystal slab that operates at transmission mode. Such a device may facilitate nanophotonics-based optical analog computing for image processing.

[1]  Franz Lanzl,et al.  A Holographic Spatial Filter for Direction Independent Differentiation , 1975 .

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

[3]  Vincenzo Savona,et al.  Automated optimization of photonic crystal slab cavities , 2014, Scientific Reports.

[4]  T. Ishihara,et al.  Quasiguided modes and optical properties of photonic crystal slabs , 2002 .

[5]  Shanhui Fan,et al.  Analysis of guided resonances in photonic crystal slabs , 2002 .

[6]  Sarah H. Peckinpaugh,et al.  Edge detection applied to satellite imagery of the oceans , 1989 .

[7]  Jerry L Prince,et al.  Current methods in medical image segmentation. , 2000, Annual review of biomedical engineering.

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

[9]  R. Bracewell.  The Fourier Transform and Its Applications , 1966 .

[10]  Shanhui Fan,et al.  Progress in 2D photonic crystal Fano resonance photonics , 2014 .

[11]  Dayan Li,et al.  Dual wavelength digital holographic Laplacian reconstruction. , 2010, Optics letters.

[12]  Bahram Jalali,et al.  Analog optical computing , 2015, Nature Photonics.

[13]  Cheng-Shan Guo,et al.  Laplacian differential reconstruction of in-line holograms recorded at two different distances. , 2008, Optics letters.

[14]  Kazuaki Sakoda,et al.  Dispersion relation and optical transmittance of a hexagonal photonic crystal slab , 2001 .

[15]  D M Cottrell,et al.  Spatial image differentiation using programmable binary optical elements. , 1991, Applied optics.

[16]  Zongfu Yu,et al.  Fundamental bounds on decay rates in asymmetric single-mode optical resonators. , 2013, Optics letters.

[17]  Victor A. Soifer,et al.  Spatiotemporal optical pulse transformation by a resonant diffraction grating , 2015 .

[18]  Rajpal S. Sirohi,et al.  Differentiation by Spatial Filtering , 1977 .

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

[20]  Erich R. Reinhardt,et al.  Optical Differential Operation Processor , 1978 .

[21]  M. Fernández-Alonso,et al.  Fractional derivative Fourier plane filter for phase-change visualization. , 1997, Applied optics.

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

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

[24]  J. I. Thackara,et al.  Operating Modes Of The Microchannel Spatial Light Modulator , 1983 .

[25]  Bill Triggs,et al.  Histograms of oriented gradients for human detection , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[26]  J. R. Wendt,et al.  Three-dimensional control of light in a two-dimensional photonic crystal slab , 2022 .

[27]  Andrey V. Larichev,et al.  Image differentiation with the aid of a phase knife , 2001 .

[28]  H Kasprzak,et al.  Differentiation of a noninteger order and its optical implementation. , 1982, Applied optics.

[29]  D. Gerace,et al.  Photonic-crystal slabs with a triangular lattice of triangular holes investigated using a guided-mode expansion method , 2006, 0706.0395.

[30]  S. H. Lee,et al.  Spatial Differentiation and Integration by Coherent Optical-Correlation Method , 1971 .

[31]  Zach DeVito,et al.  Opt , 2017 .

[32]  Leonid L. Doskolovich,et al.  Resonant diffraction gratings for spatial differentiation of optical beams , 2014 .

[33]  R. Markham,et al.  Methods for the enhancement of image detail and accentuation of structure in electron microscopy , 1963 .

[34]  Michael D. Abràmoff,et al.  Image processing with ImageJ , 2004 .

[35]  Da-Wen Sun,et al.  Improving quality inspection of food products by computer vision: a review , 2004 .

[36]  L. Christophorou.  Science , 2018, Emerging Dynamics: Science, Energy, Society and Values.

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

[38]  E. Dubois,et al.  Digital picture processing , 1985, Proceedings of the IEEE.

[39]  A. W. Lohmann,et al.  Spatial filters for differentiation , 1973 .

[40]  Kazuaki Sakoda,et al.  Optical Properties of Photonic Crystals , 2001 .