Comments on localized and integral localized approximations in spherical coordinates

Abstract Localized approximation procedures are efficient ways to evaluate beam shape coefficients of laser beams, and are particularly useful when other methods are ineffective or inefficient. Comments on these procedures are, however, required in order to help researchers make correct decisions concerning their use. This paper has the flavor of a short review and takes the opportunity to attract the attention of the readers to a required refinement of terminology.

[1]  H. Wang,et al.  Scattering by an Infinite Cylinder Arbitrarily Illuminated with a Couple of Gaussian Beams , 2010 .

[2]  Gérard Gouesbet,et al.  VALIDITY OF THE LOCALIZED APPROXIMATION FOR ARBITRARY SHAPED BEAMS IN THE GENERALIZED LORENZ-MIE THEORY FOR SPHERES , 1999 .

[3]  T. Liao,et al.  Scattering of an Axial Gaussian Beam by a Conducting Spheroid with Non-Confocal Chiral Coating , 2013 .

[4]  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.

[5]  Bing Yan,et al.  Scattering of Gaussian beam by a spheroidal particle with a spherical inclusion at the center , 2011 .

[6]  Lu Bai,et al.  Analysis of the radiation force and torque exerted on a chiral sphere by a Gaussian beam. , 2013, Optics express.

[7]  G. Gouesbet,et al.  Laser Sheet Scattering by Spherical Particles , 1993 .

[8]  Gérard Gréhan,et al.  Localized interpretation to compute all the coefficients gnm in the generalized Lorenz–Mie theory , 1990 .

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

[10]  L. W. Davis,et al.  Theory of electromagnetic beams , 1979 .

[11]  Jonathan M. Taylor,et al.  Multipole expansion of Bessel and Gaussian beams for Mie scattering calculations. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.

[12]  Yuesong Jiang,et al.  Scattering of a focused Laguerre–Gaussian beam by a spheroidal particle , 2012 .

[13]  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 .

[14]  J. Lock.  Angular spectrum and localized model of Davis-type beam. , 2013, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  G Gouesbet,et al.  Generalized Lorenz-Mie theory: first exact values and comparisons with the localized approximation. , 1987, Applied optics.

[16]  Zhensen Wu,et al.  Electromagnetic scattering by a uniaxial anisotropic sphere located in an off-axis Bessel beam. , 2013, Journal of the Optical Society of America. A, Optics, image science, and vision.

[17]  G Gouesbet,et al.  Discussion of two quadrature methods of evaluating beam-shape coefficients in generalized Lorenz-Mie theory. , 1996, Applied optics.

[18]  G. Gouesbet,et al.  Ray localization in gaussian beams , 1989 .

[19]  G. Gouesbet.  Partial-wave expansions and properties of axisymmetric light beams. , 1996, Applied optics.

[20]  G. Gouesbet,et al.  Evaluation of laser-sheet beam shape coefficients in generalized Lorenz–Mie theory by use of a localized approximation , 1994 .

[21]  J. Lock.  Contribution of high-order rainbows to the scattering of a Gaussian laser beam by a spherical particle , 1993 .

[22]  T. Liao,et al.  Scattering of Gaussian beam by a spherical particle with a spheroidal inclusion , 2011 .

[23]  A. Kiraz,et al.  Photothermal Tuning and Size Locking of Salt-Water Microdroplets on a Superhydrophobic Surface , 2009 .

[24]  A. Doicu,et al.  Computation of the beam-shape coefficients in the generalized Lorenz-Mie theory by using the translational addition theorem for spherical vector wave functions. , 1997, Applied optics.

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

[26]  Gérard Gréhan,et al.  Generalized Lorenz–Mie theories and description of electromagnetic arbitrary shaped beams: Localized approximations and localized beam models, a review , 2011 .

[27]  S. Mishra,et al.  A vector wave analysis of a Bessel beam , 1991 .

[28]  Zhensen Wu,et al.  Calculation of radiation force and torque exerted on a uniaxial anisotropic sphere by an incident Gaussian beam with arbitrary propagation and polarization directions , 2012 .

[29]  G Gouesbet,et al.  Scattering of laser beams by Mie scatter centers: numerical results using a localized approximation. , 1986, Applied optics.

[30]  Bing Yan,et al.  Scattering of a shaped beam by a spherical particle with an eccentric spherical inclusion , 2009 .

[31]  J. Ng,et al.  Analytical partial wave expansion of vector Bessel beam and its application to optical binding. , 2010, Optics letters.

[32]  J. Lock,et al.  Partial-wave representations of laser beams for use in light-scattering calculations. , 1995, Applied optics.

[33]  Li-xin Guo,et al.  Analysis of radiation pressure force exerted on a biological cell induced by high-order Bessel beams using Debye series , 2013 .

[34]  G. Gouesbet,et al.  Note on the use of localized beam models for light scattering theories in spherical coordinates. , 2012, Applied optics.

[35]  J. Lock,et al.  Consequences of the angular spectrum decomposition of a focused beam, including slower than c beam propagation , 2016 .

[36]  G. Gouesbet,et al.  Interaction between a Sphere and a Gaussian Beam: Computations on a micro‐computer , 1988 .

[37]  Huan Li,et al.  Radiation force on a chiral sphere by a Gaussian beam , 2010, SPIE/COS Photonics Asia.

[38]  Huayong Zhang,et al.  On-axis Gaussian beam scattering by a chiral cylinder. , 2012, Journal of the Optical Society of America. A, Optics, image science, and vision.

[39]  Boxue Tan,et al.  Scattering of on-axis Gaussian beam by a conducting spheroid with confocal chiral coating , 2013 .

[40]  Scattering of a zero-order Bessel beam by a concentric sphere , 2014 .

[41]  Gérard Gouesbet,et al.  T-matrix formulation and generalized Lorenz–Mie theories in spherical coordinates , 2010 .

[42]  Scattering of an axicon-generated Bessel beam by a sphere , 2013 .

[43]  H. Hernández-Figueroa,et al.  Spin angular momentum transfer from TEM00 focused Gaussian beams to negative refractive index spherical particles , 2011, Biomedical optics express.

[44]  G. Gouesbet,et al.  Latest achievements in generalized Lorenz‐Mie theories: A commented reference database , 2014 .

[45]  Bing Yan,et al.  Gaussian Beam Scattering by a Spheroidal Particle with an Embedded Conducting Sphere , 2011 .

[46]  H. Hernández-Figueroa,et al.  Integral localized approximation description of ordinary Bessel beams and application to optical trapping forces , 2011, Biomedical optics express.

[47]  Zhensen Wu,et al.  Calculation of radiation forces exerted on a uniaxial anisotropic sphere by an off-axis incident Gaussian beam. , 2011, Optics express.

[48]  G. Gouesbet,et al.  Computations of the g(n) coefficients in the generalized Lorenz-Mie theory using three different methods. , 1988, Applied optics.

[49]  G Gouesbet,et al.  Integral localized approximation in generalized lorenz-mie theory. , 1998, Applied optics.

[50]  On-axis Gaussian beam scattering by a spheroid with a rotationally uniaxial anisotropic spherical inclusion , 2013 .

[51]  Scattering of Gaussian Beam by a Conducting Spheroidal Particle with Confocal Dielectric Coating , 2010 .

[52]  M. Mishchenko.  Electromagnetic Scattering by Particles and Particle Groups: An Introduction , 2014 .

[53]  Huayong Zhang,et al.  Scattering by a spheroidal particle illuminated with a Gaussian beam described by a localized beam model , 2010 .