Optical theorem for acoustic non-diffracting beams and application to radiation force and torque: erratum Likun Zhang1,∗ and Philip L. Marston2 1 Department
of Physics and Center for Nonlinear Dynamics, University of Texas at Austin, Austin, TX 78712, USA 2 Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164-2814, USA ∗ [email protected]
Abstract: We correct minor errors in four equations in our recent paper [Biomed. Opt. Express 4(9), 1610–1617 (2013)]. They are equations (11), (14), (15), and (17) therein, where a factorial ratio (n−m)! (n+m)! was mistakenly omitted. All the other equations and analysis in the paper were correct. © 2013 Optical Society of America OCIS codes: (350.4855) Optical tweezers or optical manipulation; (290.2200) Extinction; (290.4020) Mie theory; (290.5850) Scattering, particles.
References and links 1. L. K. Zhang and P. L. Marston, “Optical theorem for acoustic non-diffracting beams and application to radiation force and torque,” Bio. Opt. Express 4(9), 1610–1617 (2013). 2. L. K. Zhang and P. L. Marston, “Geometrical interpretation of negative radiation forces of acoustical Bessel beams on spheres,” Phys. Rev. E 84, 035601(R) (2011).
We correct a factor (n−m)! (n+m)! that was mistakenly omitted in four equations in our recent paper [1]. They are Eqs. (11), (14), (15), and (17) in [1]. The correct versions of these four equations respectively are,
σext =
(n − m)! m π ∞ [P (cos β )]2 Re[2(1 − sn )], (2n + 1) ∑ 2 k n=|m| (n + m)! n
(11)
Qsca ≡ σsca /(π a2 ) =
∞ 1 (n − m)! m [P (cos β )]2 (|sn − 1|2 ), (2n + 1) ∑ 2 (ka) n=|m| (n + m)! n
(14)
Qabs ≡ σabs /(π a2 ) =
∞ 1 (n − m)! m [P (cos β )]2 (1 − |sn |2 ). (2n + 1) ∑ (ka)2 n=|m| (n + m)! n
(15)
Qext,sca = σext,sca /(π a2 ) =
∞ 4 (n − m)! m [P (cos β )]2 sin2 (δn ). (2n + 1) ∑ 2 (ka) n=|m| (n + m)! n
(17)
These equations were correctly given in our earlier paper [2]; they are equations (16)–(18) in [2]. Note also that cos β is sometimes denoted by b. All the other equations and analysis in [1] were correct and are unaffected by this correction. #201294 - $15.00 USD
Received 18 Nov 2013; published 22 Nov 2013
(C) 2013 OSA 1 December 2013 | Vol. 4, No. 12 | DOI:10.1364/BOE.4.002988 | BIOMEDICAL OPTICS EXPRESS 2988
of Physics and Center for Nonlinear Dynamics, University of Texas at Austin, Austin, TX 78712, USA 2 Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164-2814, USA ∗ [email protected]
Abstract: We correct minor errors in four equations in our recent paper [Biomed. Opt. Express 4(9), 1610–1617 (2013)]. They are equations (11), (14), (15), and (17) therein, where a factorial ratio (n−m)! (n+m)! was mistakenly omitted. All the other equations and analysis in the paper were correct. © 2013 Optical Society of America OCIS codes: (350.4855) Optical tweezers or optical manipulation; (290.2200) Extinction; (290.4020) Mie theory; (290.5850) Scattering, particles.
References and links 1. L. K. Zhang and P. L. Marston, “Optical theorem for acoustic non-diffracting beams and application to radiation force and torque,” Bio. Opt. Express 4(9), 1610–1617 (2013). 2. L. K. Zhang and P. L. Marston, “Geometrical interpretation of negative radiation forces of acoustical Bessel beams on spheres,” Phys. Rev. E 84, 035601(R) (2011).
We correct a factor (n−m)! (n+m)! that was mistakenly omitted in four equations in our recent paper [1]. They are Eqs. (11), (14), (15), and (17) in [1]. The correct versions of these four equations respectively are,
σext =
(n − m)! m π ∞ [P (cos β )]2 Re[2(1 − sn )], (2n + 1) ∑ 2 k n=|m| (n + m)! n
(11)
Qsca ≡ σsca /(π a2 ) =
∞ 1 (n − m)! m [P (cos β )]2 (|sn − 1|2 ), (2n + 1) ∑ 2 (ka) n=|m| (n + m)! n
(14)
Qabs ≡ σabs /(π a2 ) =
∞ 1 (n − m)! m [P (cos β )]2 (1 − |sn |2 ). (2n + 1) ∑ (ka)2 n=|m| (n + m)! n
(15)
Qext,sca = σext,sca /(π a2 ) =
∞ 4 (n − m)! m [P (cos β )]2 sin2 (δn ). (2n + 1) ∑ 2 (ka) n=|m| (n + m)! n
(17)
These equations were correctly given in our earlier paper [2]; they are equations (16)–(18) in [2]. Note also that cos β is sometimes denoted by b. All the other equations and analysis in [1] were correct and are unaffected by this correction. #201294 - $15.00 USD
Received 18 Nov 2013; published 22 Nov 2013
(C) 2013 OSA 1 December 2013 | Vol. 4, No. 12 | DOI:10.1364/BOE.4.002988 | BIOMEDICAL OPTICS EXPRESS 2988
