Microscopic second-harmonic generation emission direction in fibrillous collagen type I by quasi-phase-matching theory

Quasiphase matching (QPM) is a widely used theory in crystal to analyze the character of second-harmonic generation (SHG) emitted from it. Based on the structural features of collagen type I, where the constituted fibrils in collagen function as a crystal which has the structure of two-dimensional (2D) quasicrystalline, in this paper, we use the QPM theory on collagen for SHG emission direction study under the excitation of laser light through a microscope. The effects of numerical aperture NA, as well as the structural parameters, such as QPM order (m,l) and collagen period a=d1+d2 associated with the fibrils diameter (d1), packing density and interfibrils structure (d2), etc., on SHG emission angle φ have been investigated. Our theoretical results show that collagen period a has threshold effect on φ to present forward or backward SHG emission and NA has minor influence on this threshold value a. Collagen period of a has more significant influence on SHG emission angle φ when a is smaller than the thres...

[1]  Valery V. Tuchin,et al.  Estimation of wavelength dependence of refractive index of collagen fibers of scleral tissue , 2000, European Conference on Biomedical Optics.

[2]  S Fine,et al.  Optical second harmonic generation in biological systems. , 1971, Applied optics.

[3]  S. S. Townsend,et al.  Phase Matching considerations in Second Harmonic Generation from tissues: Effects on emission directionality, conversion efficiency and observed morphology. , 2008, Optics communications.

[4]  Richard Weinkamer,et al.  Nature’s hierarchical materials , 2007 .

[5]  Broad multiwavelength second-harmonic generation from two-dimensional /spl chi//sup (2)/ nonlinear photonic crystals of tetragonal lattice structure , 2004, IEEE Journal of Selected Topics in Quantum Electronics.

[6]  Watt W Webb,et al.  Interpreting second-harmonic generation images of collagen I fibrils. , 2005, Biophysical journal.

[7]  J. Mertz,et al.  Second-harmonic generation by focused excitation of inhomogeneously distributed scatterers , 2001 .

[8]  Jerome Mertz,et al.  Membrane imaging by second-harmonic generation microscopy , 2000 .

[9]  M. Fejer,et al.  Quasi-phase-matched second harmonic generation: tuning and tolerances , 1992 .

[10]  X. Gan,et al.  Multiphoton fluorescence microscopic imaging through double-layer turbid tissue media , 2002 .

[11]  J. A. Chapman,et al.  Collagen fibril formation. , 1996, The Biochemical journal.

[12]  P. D. Townsend,et al.  An introduction to methods of periodic poling for second-harmonic generation , 1995 .

[13]  Leslie M Loew,et al.  Second-harmonic imaging microscopy for visualizing biomolecular arrays in cells, tissues and organisms , 2003, Nature Biotechnology.

[14]  P. Price,et al.  The Size Exclusion Characteristics of Type I Collagen , 2007, Journal of Biological Chemistry.

[15]  I. Meglinski,et al.  Quantitative assessment of skin layers absorption and skin reflectance spectra simulation in the visible and near-infrared spectral regions. , 2002, Physiological measurement.

[16]  Colin J. R. Sheppard,et al.  Characterization of the second harmonic signal from collagen , 2003, SPIE BiOS.

[17]  Christopher Thrasivoulou,et al.  Second harmonic generation confocal microscopy of collagen type I from rat tendon cryosections. , 2006, Biophysical journal.

[18]  W. Webb,et al.  Nonlinear magic: multiphoton microscopy in the biosciences , 2003, Nature Biotechnology.

[19]  François Légaré,et al.  The role of backscattering in SHG tissue imaging. , 2007, Biophysical journal.

[20]  Colin J. R. Sheppard,et al.  Second-harmonic imaging in the scanning optical microscope , 1978 .

[21]  Beop-Min Kim,et al.  Polarization-dependent optical second-harmonic imaging of a rat-tail tendon. , 2002, Journal of biomedical optics.

[22]  Shuangmu Zhuo,et al.  Multimode nonlinear optical imaging of the dermis in ex vivo human skin based on the combination of multichannel mode and Lambda mode. , 2006, Optics express.

[23]  Xin Xinquan,et al.  Transformation of Sign of Nonlinear Refraction between Mo(W)/S/Cu Planar Metal Clusters , 2008 .

[24]  Quasi phase matching in two-dimensional nonlinear photonic crystals , 2007 .

[25]  Tatsuo Ushiki,et al.  Collagen fibers, reticular fibers and elastic fibers. A comprehensive understanding from a morphological viewpoint. , 2002, Archives of histology and cytology.

[26]  D. Prockop,et al.  The collagen fibril: the almost crystalline structure. , 1998, Journal of structural biology.

[27]  C. Peters,et al.  Generation of optical harmonics , 1961 .

[28]  M. Fejer,et al.  Quasi‐phase‐matched second‐harmonic generation of blue light in periodically poled LiNbO3 , 1990 .

[29]  D A Parry,et al.  A comparison of the size distribution of collagen fibrils in connective tissues as a function of age and a possible relation between fibril size distribution and mechanical properties , 1978, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[30]  V. Ottani,et al.  Collagen fibril arrangement and size distribution in monkey oral mucosa , 1998, Journal of anatomy.