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Super-resolution optical microscopy based on photonic crystal materials Mickaël Guillaumée Introduction: Optical Microscopy and Diffraction Limit • Resolution limit of an imaging system: D 0.61 0.61 n sin keff // • High NA : immersion objectives • Limit: small range of transparent materials with high n • Near Field Optical Microscopy: collection of evanescent waves (high k//) in close proximity to the studied sample • Really high resolution but very slow and not convenient => Necessity to find a Far-field technique for nanometre scale resolution microscopy ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE PO-014 | M. Guillaumée | Page 1 Imaging through Photonic Crystal Space • Principle: Test object Fourier Transform (FT) k space collected by the objective ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE PO-014 | M. Guillaumée | Page 2 Imaging through Photonic Crystal Space • Principle: Test object Fourier Transform (FT) Inverse FT of the area inside the circle k space collected by the objective ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE PO-014 | M. Guillaumée | Page 3 Imaging through Photonic Crystal Space • Principle: Test object Fourier Transform (FT) K k spaces with integer number of K are equivalent N. Le Thomas, R. Houdré et al. Grating-assisted superresolution of slow waves in Fourier space, Physical Review B, 76, 035103 2007 ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE PO-014 | M. Guillaumée | Page 4 Imaging through Photonic Crystal Space • Principle: Test object Fourier Transform (FT) Inverse FT of the area inside the circles K k spaces with integer number of K are equivalent ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE PO-014 | M. Guillaumée | Page 5 Imaging through Photonic Crystal Space • When spatial filtering with photonic crystal can be considered valid? • Bloch wave: First Brillouin zone wave vector Inverse lattice wave vectors • Necessity to get constant to get high spatial frequencies: => Achieved for high modulation of RIX B. Lombardet, L. A. Dunbar, R. Ferrini, and R. Houdré. Fourier analysis of Bloch wave propagation in photonic crystals, J. Opt. Soc. Am. B, 22, 1179, 2005 ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE PO-014 | M. Guillaumée | Page 6 From theory to experiment… • Need for far field imaging: transfer high spatial frequency in free space => Image magnification above the diffraction limit should be produced by the photonic crystal based microscope • Curved photonic crystal boundary as a magnifying lens: => Challenging because refraction highly dependent on frequency and propagation direction • Solution: reflecting optics => Curvature of the boundary in order to get a magnified image ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE PO-014 | M. Guillaumée | Page 7 Experimental procedure: surface polaritonic crystal • 2D photonic crystal material replaced by surface polaritonic crystal: Surface Plasmon Polariton (SPP) wave surface wave propagating at an interface metal/dielectric ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE PO-014 | M. Guillaumée | Page 8 Experimental procedure: surface polaritonic crystal • 2D photonic crystal material replaced by surface polaritonic crystal: Surface Plasmon Polariton (SPP) wave surface wave propagating at an interface metal/dielectric Excitation by a periodic structure : K C. Genet and T. W. Ebbesen. Light in tiny holes, Nature 445, 39, 2007 ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE PO-014 | M. Guillaumée | Page 9 Photonic crystal and SPP: historical information • Full photonic Band Gap observed for the first time in the visible with SPP Kitsen, Barnes and Sambles. Full Photonic Band Gap for Surface Modes in the Visible, Physical Review Letters, 77, 2670, 1996 ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE PO-014 | M. Guillaumée | Page 10 Experimental procedure ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE PO-014 | M. Guillaumée | Page 11 Experimental procedure 1. Propagation of “SPP Bloch waves” with right excitation condition 2. Reflection on a glycerin droplet boundary acting as an efficient magnifying mirror (high neff) 3. Image formation at the exit of the “SPP crystal lens” (after the nanohole array) 4. Scattering of light into free space due to surface roughness (higher in the image formation area) 5. Collection with a regular microscope ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE PO-014 | M. Guillaumée | Page 12 Experimental results • High resolution but distortion of the image (image magnification depend on the object position with respect to the mirror 100nm hole diameter, 40nm distance between hole edges, 500nm period ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE PO-014 | M. Guillaumée | Page 13 Experimental results: biological application T4 phage virus: 200nm long, 80nm wide T4 phage virus ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE PO-014 | M. Guillaumée | Page 14 Conclusion • Interesting scientific concept • Technique has to be improved: • Image distortion in that configuration • Control of the mirror • No theoretical prediction of the microscope resolution ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE PO-014 | M. Guillaumée | Page 15 Thank you for your attention.