Focusing and imaging in microsphere-based microscopy.

Microsphere-based microscopy systems have garnered lots of recent interest, mainly due to their capacity in focusing light and imaging beyond the diffraction limit. In this paper, we present theoretical foundations for studying the optical performance of such systems by developing a complete theoretical model encompassing the aspects of illumination, sample interaction and imaging/collection. Using this model, we show that surface waves play a significant role in focusing and imaging with the microsphere. We also show that by designing a radially polarized convergent beam, we can focus to a spot smaller than the diffraction limit. By exploiting surface waves, we are able to resolve two dipoles spaced 98 nm apart in simulation using light at a wavelength of 402.292 nm. Using our model, we also explore the effect of beam geometry and polarization on optical resolution and focal spot size, showing that both geometry and polarization greatly affect the shape of the spot.

[1]  A. J. Devaney,et al.  Multipole expansions and plane wave representations of the electromagnetic field , 1974 .

[2]  Weng Cho Chew,et al.  Efficient way to compute the vector addition theorem , 1993 .

[3]  Frank Wyrowski,et al.  Experimental imaging properties of immersion microscale spherical lenses , 2014, Scientific Reports.

[4]  Zengbo Wang,et al.  Optical resonances in microsphere photonic nanojets , 2013 .

[5]  Philip Kim,et al.  Near-field focusing and magnification through self-assembled nanoscale spherical lenses , 2009, Nature.

[6]  U. Peschel,et al.  Analytical expansion of highly focused vector beams into vector spherical harmonics and its application to Mie scattering , 2012 .

[7]  C. Sheppard,et al.  Complete modeling of subsurface microscopy system based on aplanatic solid immersion lens. , 2012, Journal of the Optical Society of America. A, Optics, image science, and vision.

[8]  Minghui Hong,et al.  Microsphere-coupled scanning laser confocal nanoscope for sub-diffraction-limited imaging at 25 nm lateral resolution in the visible spectrum. , 2014, ACS nano.

[9]  G. Kino,et al.  Focusing in microlenses close to a wavelength in diameter. , 2001, Optics letters.

[10]  F. Duarte Multiple-prism grating solid-state dye laser oscillator: optimized architecture. , 1999, Applied optics.

[11]  C. Sheppard,et al.  Design considerations for refractive solid immersion lens: application to subsurface integrated circuit fault localization using laser induced techniques. , 2009, The Review of scientific instruments.

[12]  H. Nussenzveig High‐Frequency Scattering by a Transparent Sphere. I. Direct Reflection and Transmission , 1969 .

[13]  Zengbo Wang,et al.  Optical virtual imaging at 50 nm lateral resolution with a white-light nanoscope. , 2011, Nature communications.

[14]  B. R. Johnson,et al.  Theory of morphology-dependent resonances : shape resonances and width formulas , 1993 .

[15]  Gerd Leuchs,et al.  Focusing light to a tighter spot , 2000 .

[16]  M. Lipson,et al.  On-chip gas detection in silicon optical microcavities , 2008, 2008 Conference on Lasers and Electro-Optics and 2008 Conference on Quantum Electronics and Laser Science.

[17]  C. Sheppard,et al.  Interpretation of the scattering mechanism for particles in a focused beam , 2012 .

[18]  A B Pluchino,et al.  Surface waves and the radiative properties of micron-sized particles. , 1981, Applied optics.

[19]  Franco Nori,et al.  CORRIGENDUM: Delocalized single-photon Dicke states and the Leggett-Garg inequality in solid state systems , 2014, Scientific Reports.

[20]  G Leuchs,et al.  Sharper focus for a radially polarized light beam. , 2003, Physical review letters.

[21]  Xudong Chen,et al.  Rigorous analytical modeling of high-aperture focusing through a spherical interface. , 2013, Journal of the Optical Society of America. A, Optics, image science, and vision.

[22]  Hervé Rigneault,et al.  Three-dimensional subwavelength confinement of light with dielectric microspheres. , 2009, Optics express.

[23]  George Barbastathis,et al.  Classical imaging theory of a microlens with super-resolution. , 2013, Optics letters.

[24]  Jarod C Finlay,et al.  Optical super-resolution imaging by high-index microspheres embedded in elastomers. , 2015, Optics letters.

[25]  Xudong Chen,et al.  Imaging with annular focusing through a dielectric interface , 2013 .

[26]  E. Wolf,et al.  Electromagnetic diffraction in optical systems, II. Structure of the image field in an aplanatic system , 1959, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[27]  Daniel R. Mason,et al.  Enhanced resolution beyond the Abbe diffraction limit with wavelength-scale solid immersion lenses. , 2010, Optics letters.

[28]  Nicolas Bonod,et al.  Spectral analysis of three-dimensional photonic jets. , 2008, Optics express.

[29]  C. Sheppard,et al.  Multipole theory for tight focusing of polarized light, including radially polarized and other special cases. , 2012, Journal of the Optical Society of America. A, Optics, image science, and vision.

[30]  Jeremy L O'Brien,et al.  Solid Immersion Facilitates Fluorescence Microscopy with Nanometer Resolution and Sub-Ångström Emitter Localization , 2012, Advanced materials.

[31]  Sy-Bor Wen,et al.  Analysis of deep sub-micron resolution in microsphere based imaging , 2014 .

[32]  C. Sheppard,et al.  Multipole and plane wave expansions of diverging and converging fields. , 2014, Optics express.

[33]  J. Rarity,et al.  Strongly enhanced photon collection from diamond defect centers under microfabricated integrated solid immersion lenses , 2010, 1006.2093.

[34]  Matthew R Foreman,et al.  Single-molecule nucleic acid interactions monitored on a label-free microcavity biosensor platform. , 2014, Nature nanotechnology.

[35]  P. Morse,et al.  Methods of theoretical physics , 1955 .

[36]  A. Taflove,et al.  Photonic nanojets , 2004, IEEE Antennas and Propagation Society Symposium, 2004..