Light scattering from an optically anisotropic particle illuminated by an arbitrary shaped beam

Abstract A solution for light scattering from an optically anisotropic particle illuminated by an arbitrary shaped beam is proposed in this paper, which is implemented using a combination of a recent developed T-matrix approach for anisotropic particles and the description of arbitrary shaped beam originally derived in the generalized Lorenz–Mie theory (GLMT). The internal fields inside anisotropic particle are expanded in terms of a series of quasi-spherical vector wave functions (qSVWFs) which are derived using an inverse Fourier transform operation, and the incident shaped beam is expanded in terms of the regular spherical vector wave functions (SVWFs), then the scattering transition matrix of an anisotropic particle is obtained using the extended boundary condition method (EBCM) technique. Verification computations are implemented for a uniaxial anisotropic particle illuminated by a focused Gaussian beam. Comparisons are made between the results obtained using the presented method and those calculated using other methods. Furthermore, numerical calculations are performed to study the influences of shaped beam parameters (beam waist radius, incident angles) and of particle parameters on the scattering properties.

[1]  G. Gouesbet.  Second modified localized approximation for use in generalized Lorenz-Mie theory and other theories revisited. , 2013, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  A. Doicu.  Null-field method to electromagnetic scattering from uniaxial anisotropic particles , 2003 .

[3]  Jiajie Wang,et al.  T-matrix method for electromagnetic scattering by a general anisotropic particle , 2015 .

[4]  J. Lock.  Partial-wave expansions of angular spectra of plane waves. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[5]  A. Doicu,et al.  Plane wave spectrum of electromagnetic beams , 1997 .

[6]  G. Gréhan,et al.  Morphology-dependent resonances in an eccentrically layered sphere illuminated by a tightly focused off-axis Gaussian beam: parallel and perpendicular beam incidence , 2011 .

[7]  J. Kong,et al.  Tunable TE/TM Wave Splitter Using a Gyrotropic Slab , 2008 .

[8]  V. Podolskiy,et al.  Scattering-free plasmonic optics with anisotropic metamaterials. , 2007, Physical review letters.

[9]  M. Brunel,et al.  Lasers and interactions with particles, 2012: Optical particle characterization follow-up , 2013 .

[10]  Zhen Peng,et al.  Analysis of scattering by large objects with off-diagonally anisotropic material using finite element-boundary integral-multilevel fast multipole algorithm , 2010 .

[11]  Jiajie Wang,et al.  Electromagnetic scattering from gyroelectric anisotropic particle by the T-matrix method , 2014 .

[12]  T. Wriedt,et al.  The T-matrix for particle with arbitrary permittivity tensor and parallelization of the computational code , 2012 .

[13]  G. Gouesbet,et al.  Preface: Laser-light and Interactions with Particles (LIP), 2014 , 2015 .

[14]  T J Sluckin,et al.  Light scattering by optically anisotropic scatterers: T-matrix theory for radial and uniform anisotropies. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Zhensen Wu,et al.  Electromagnetic scattering for a uniaxial anisotropic sphere in an off-axis obliquely incident Gaussian beam. , 2010, Journal of the Optical Society of America. A, Optics, image science, and vision.

[16]  Gérard Gouesbet,et al.  Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz–Mie theory. I. On-axis beams , 1994 .

[17]  Brian Stout,et al.  Mie scattering by an anisotropic object. Part I. Homogeneous sphere. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[18]  G. Gouesbet,et al.  Transformations of spherical beam shape coefficients in generalized Lorenz-Mie theories through rotations of coordinate systems I. General formulation , 2010 .

[19]  Brian Stout,et al.  Mie scattering by an anisotropic object. Part II. Arbitrary-shaped object: differential theory. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[20]  G. Gouesbet,et al.  Transformations of spherical beam shape coefficients in generalized Lorenz–Mie theories through rotations of coordinate systems: III. Special values of Euler angles , 2010 .

[21]  Yi Xiong,et al.  Magnetized plasma for reconfigurable subdiffraction imaging. , 2011, Physical review letters.

[22]  J. Lock,et al.  List of problems for future research in generalized Lorenz-Mie theories and related topics, review and prospectus [invited]. , 2013, Applied optics.

[23]  David R. Smith,et al.  Controlling Electromagnetic Fields , 2006, Science.

[24]  G. Gouesbet,et al.  Transformations of spherical beam shape coefficients in generalized Lorenz–Mie theories through rotations of coordinate systems: II. Axisymmetric beams , 2010 .

[25]  Gérard Gréhan,et al.  Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation , 1988 .

[26]  Adrian Doicu,et al.  Light Scattering by Systems of Particles: Null-Field Method with Discrete Sources: Theory and Programs , 2014 .

[27]  J. Lock,et al.  On the description of electromagnetic arbitrary shaped beams: The relationship between beam shape coefficients and plane wave spectra , 2015 .

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

[29]  Multiple scattering of electromagnetic waves by an aggregate of uniaxial anisotropic spheres. , 2012, Journal of the Optical Society of America. A, Optics, image science, and vision.

[30]  Le-Wei Li,et al.  Mie scattering by a uniaxial anisotropic sphere. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[31]  Gérard Gouesbet,et al.  On the electromagnetic scattering of arbitrary shaped beams by arbitrary shaped particles: A review , 2015 .

[32]  Zhifang Lin,et al.  Manipulating negative-refractive behavior with a magnetic field. , 2008, Physical review letters.

[33]  Gérard Gréhan,et al.  Generalized Lorenz-Mie Theories , 2011 .

[34]  Le-Wei Li,et al.  Analysis of electromagnetic scattering by a plasma anisotropic sphere , 2003 .

[35]  Thomas Wriedt,et al.  Comprehensive Thematic T-matrix Reference Database: a 2013-2014 Update , 2014 .

[36]  Chao Wan,et al.  Analytical Method and Semianalytical Method for Analysis of Scattering by Anisotropic Sphere: A Review , 2012 .

[37]  Thomas Wriedt,et al.  T-matrix method for biaxial anisotropic particles , 2009 .