TY - JOUR

T1 - Simplified scattering coefficient expressions for a spherical particle located on the propagation axis of a fifth-order Gaussian beam

AU - Schaub, Scott A.

AU - Barton, John P.

AU - Alexander, Dennis R.

PY - 1989

Y1 - 1989

N2 - Expanding on developments presented in an earlier paper, theoretical expressions for the scattering coefficients of a homogeneous, absorbing, spherical particle irradiated by a fifth-order Gaussian beam are presented for the special case of the particle center located on the propagation axis of the beam. For this case, evaluation of two-dimensional surface integrals, required in computing the scattering coefficients for the most general particle location, is reduced to a computationally more efficient one-dimensional integral. For a typical size parameter α=πd/λ=17, the CPU time required for calculation of scattering coefficients is reduced by a factor of ∼1500 by using the simplified coefficient expressions. In addition, computation of electromagnetic field components is reduced from double summation to single summation expressions, further simplifying the field calculations.

AB - Expanding on developments presented in an earlier paper, theoretical expressions for the scattering coefficients of a homogeneous, absorbing, spherical particle irradiated by a fifth-order Gaussian beam are presented for the special case of the particle center located on the propagation axis of the beam. For this case, evaluation of two-dimensional surface integrals, required in computing the scattering coefficients for the most general particle location, is reduced to a computationally more efficient one-dimensional integral. For a typical size parameter α=πd/λ=17, the CPU time required for calculation of scattering coefficients is reduced by a factor of ∼1500 by using the simplified coefficient expressions. In addition, computation of electromagnetic field components is reduced from double summation to single summation expressions, further simplifying the field calculations.

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U2 - 10.1063/1.101932

DO - 10.1063/1.101932

M3 - Article

AN - SCOPUS:0038536544

VL - 55

SP - 2709

EP - 2711

JO - Applied Physics Letters

JF - Applied Physics Letters

SN - 0003-6951

IS - 26

ER -