Simulating the scanning of a focused beam through scattering media using a numerical solution of Maxwell’s equations

Abstract. A highly efficient method based on Maxwell’s theory was developed, which enables the calculation of the scanning of a focused beam through scattering media. Maxwell’s equations were numerically solved in two dimensions using finite difference time domain simulations. The modeling of the focused beam was achieved by applying the angular spectrum of plane waves method. The scanning of the focused beam through the scattering medium was accomplished by saving the results of the near field obtained from one simulation set of plane waves incident at different angles and by an appropriate post processing of these data. Thus, an arbitrary number of focus positions could be simulated without the need to further solve Maxwell’s equations. The presented method can be used to efficiently study the light propagation of a focused beam through scattering media which is important, for example, for different kinds of scanning microscopes.

[1]  A. Taflove,et al.  Computation of tightly-focused laser beams in the FDTD method. , 2013, Optics express.

[2]  A. Mosk,et al.  Phase control algorithms for focusing light through turbid media , 2007, 0710.3295.

[3]  A. Mosk,et al.  Focusing coherent light through opaque strongly scattering media. , 2007, Optics letters.

[4]  Three-Dimensional Computation of Focused Beam Propagation through Multiple Biological Cells , 2009 .

[5]  Demetri Psaltis,et al.  Three-dimensional scanning microscopy through thin turbid media. , 2012, Optics express.

[6]  J. Schmitt,et al.  Confocal microscopy in turbid media. , 1994, Journal of the Optical Society of America. A, Optics, image science, and vision.

[7]  E. Seibel,et al.  Computational modeling of optical projection tomographic microscopy using the finite difference time domain method. , 2012, Journal of the Optical Society of America. A, Optics, image science, and vision.

[8]  J. Goodman Introduction to Fourier optics , 1969 .

[9]  J.B. Schneider,et al.  On the Use of the Geometric Mean in FDTD Near-to-Far-Field Transformations , 2007, IEEE Transactions on Antennas and Propagation.

[10]  K. Fujita [Two-photon laser scanning fluorescence microscopy]. , 2007, Tanpakushitsu kakusan koso. Protein, nucleic acid, enzyme.

[11]  W. Steen Absorption and Scattering of Light by Small Particles , 1999 .

[12]  Shogo Kozaki,et al.  Scattering of a Gaussian beam by a homogeneous dielectric cylinder , 1982 .

[13]  A. Taflove,et al.  Generation of an incident focused light pulse in FDTD. , 2008, Optics express.

[14]  Steven C. Hill,et al.  Scattered and internal intensity of a sphere illuminated with a Gaussian beam , 1993 .

[15]  A Knüttel,et al.  New method for evaluation of in vivo scattering and refractive index properties obtained with optical coherence tomography. , 2004, Journal of biomedical optics.