Browse > Article
http://dx.doi.org/10.3807/HKH.2007.18.4.286

Theoretical Calculation on Radiation Patterns of Epi-signal in CARS Microscopy  

Yoo, Yong-Shim (Division of physical Metrology, KRISS)
Cho, Hyuck (School of Physics, Chungnam University)
Publication Information
Korean Journal of Optics and Photonics / v.18, no.4, 2007 , pp. 286-291 More about this Journal
Abstract
We theoretically investigated the far-field radiation pattern of epi-signal from a polystyrene sphere in coherent anti-Stokes Raman scattering (CARS) microscopy with an objective lens of high numerical aperture. We calculated the field distribution of the incident laser beams under the tight-focusing condition and the far-field radiation pattern through coherent addition of radiation from the nonlinear polarizations (Hertzian dipoles) as the origin of CARS signal generation. The epi-radiation patterns for polystyrene spheres of different diameters are calculated, and the pattern of a sphere is also compared with that of a shell fer a diameter of 1100 nm. We finally show how the radiation pattern of the polystyrene sphere changes as the center of the sphere shifts from the focus of the beam.
Keywords
CARS; Microscopy; Radiation pattern;
Citations & Related Records
연도 인용수 순위
  • Reference
1 E. O. Potma, C. L. Evans, and X. S. Xie, 'Heterodyne coherent anti-Stokes Raman scattering imaging,' Opt. Lett., vol. 31, no. 2, pp. 241-243, 2006   DOI   ScienceOn
2 X. Nan, E. O. Potma, and X. S. Xie, 'Nonperturbative Chemical Imaging of Organelle Transport in Living Cells with Coherent Anti-Stokes Raman Scattering Microscopy,' Biophys. J, vol. 91, no. 2, pp. 728-735, 2006   DOI   ScienceOn
3 L. Li and J.-X Cheng, 'Coexisting Stripe-and Patch-Shaped Domains in Giant Unilamellar Vesicles,' Biochem., vol. 45, no. 39, pp. 11819-11826, 2006   DOI   ScienceOn
4 M. Muller, J. Squier, C. A. de Lange, and G. J. Brakenhoff, 'CARS microscopy with folded BOXCARS phasematching,' J. Microsc., vol. 197, pp. 150-158 2000   DOI   ScienceOn
5 L. Moreaux, O. Sandre, and J. Mertz, 'Membrane imaging by second-harmonic generation microscopy,' J. Opt. Soc. Am. B, vol. 17, no. 10, pp. 1685-1694, 2000   DOI   ScienceOn
6 S. G. Guha and J. Folk, 'The effects of focusing on the efficiency of coherent anti-Stokes Raman scattering,' J. Chem. Phys., vol. 75, no. 6, pp. 2599-2562, 1981   DOI
7 J. A. Shirley, R. J. Hall, and A, C. Eckbreth, 'Folded BOX-CARS for rotational Raman studies,' Opt. Lett., vol. 5, pp. 380-382, 1980   DOI
8 A. Zumbusch, G. R. Holtom, and X. S. Xie, 'Three dimensional vibrational imaging by coherent anti-Stokes Raman scattering,' Phys. Rev. Lett., vol. 82, no. 20, pp. 4142-4145, 1999   DOI   ScienceOn
9 J.-X. Cheng, A. Volkmer, and X. S. Xie, 'Theoretical and experimental characterization of coherent anti-Stokes Raman scattering microscopy,' J. Opt. Soc. Am. B, vol. 19, no. 7, pp. 1363-1375, 2002   DOI   ScienceOn
10 E. O. Potma, W. P. de Boeij, and D. A. Wiersma, 'Nonlinear coherent four-wave mixing in optical microscopy,' J. Opt. Soc. Am. B, vol. 17, no. 10, pp. 1678-1684, 2000   DOI   ScienceOn
11 Y. R. Sherr, The Principles of Nonlinear Optics, (John Wiley and Sons Inc., New York, 1984) p. 268
12 H. Lotem, R. T. Lynch, Jr., and N. Bloembergen, 'Interference between Raman resonances in four-wave difference mixing,' Phys. Rev. A, vol. 14, pp. 1748-1755, 1976   DOI
13 W. Kaabar and R. Devonshire, 'A versatile model of CARS signal generation: optimum diameter ratios for different phase-matching geometries,' Chem. Phys. Lett., vol. 186, no. 6, pp. 522-530, 1991   DOI   ScienceOn
14 A. Volkmer, J.-X. Cheng, and X. S. Xie, 'Vibrational Imaging with High Sensitivity via Epidetected Coherent Anti-Stokes Raman Scattering Microscopy,' Phys. Rev. Lett., vol. 87, no. 2, pp. 0239011-0239014, 2001   DOI   ScienceOn
15 B. Richards and E. Wolf, 'Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system,' Proc. R. Soc. London, Ser. A, vol. 253, no. 1274, pp. 358-379, 1959   DOI
16 L. C. Davis, K. A. Marko, and L. Rimai, 'Angular distribution of coherent Raman emission in degenerate four-wave mixing with pumping by a single diffraction coupled laser beam: configurations for high spatial resolution,' Appl. Opt., vol. 20, pp. 1685-1690, 1981   DOI
17 J.-X. Cheng and X. S. Xie, 'Green's function formulation for third-harmonic generation microscopy,' J. Opt. Soc. Am. B, vol. 19, no. 7, pp. 1604-1610, 2002   DOI   ScienceOn
18 G. C. Bjorklund, 'Effects of focusing on third-order nonlinear processes in isotropic media,' IEEE J. Quantum Electron., vol. QE-11, pp. 287-296, 1975   DOI
19 Y. Fu, H. Wang, and J.-X. Cheng, 'Characterization of photodamage in coherent anti-Stokes Raman scattering microscopy,' Opt. Express, vol. 14, no. 9, pp. 3942-3951, 2007   DOI
20 J.-X Cheng and X. S. Xie, 'Coherent Anti-Stokes Raman Scattering Microscopy: Instrumentation, Theory, and Applications,' J. Phys. Chem. B, vol. 108, no. 3, pp. 827-840, 2004   DOI   ScienceOn
21 J. D. Jackson, Classical Electrodynamics (John Wiley and Sons Inc., New York, 1975) p. 395