All-optical particle trap using orthogonally intersecting beams [Invited]

K. D. Leake; A. R. Hawkins; H. Schmidt

doi:10.1364/PRJ.1.000047

Journals >Photonics Research >Volume 1 >Issue 1 >Page 47 > Article

Photonics Research
Vol. 1, Issue 1, 47 (2013)

All-optical particle trap using orthogonally intersecting beams [Invited]

K. D. Leake^1、*, A. R. Hawkins², and H. Schmidt¹

Author Affiliations

¹School of Engineering, University of California Santa Cruz, 1156 High Street, Santa Cruz, California 95064, USA

²Electrical and Computer Engineering Department, Brigham Young University, Provo, Utah 84602, USA

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DOI: 10.1364/PRJ.1.000047 Cite this Article Set citation alerts

K. D. Leake, A. R. Hawkins, H. Schmidt. All-optical particle trap using orthogonally intersecting beams [Invited][J]. Photonics Research, 2013, 1(1): 47 Copy Citation Text

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Abstract

We analyze the properties of a dual-beamtrap of orthogonally intersecting beams in the geometrical optics regime. We derive analytical expressions for the trapping location and stability criteria for trapping a microparticle with uncollimated Gaussian beams. An upper limit for the beam waist is found. Optical forces and particle trajectories are calculated numerically for the realistic case of a microparticle in intersecting liquid-core waveguides.

Keywords

planar Integrated optics Integrated optics devices Optical devices Optical tweezers or optical manipulation Other areas of optics Waveguides

I_{1} (x) = I_{0} \cdot e^{- γ x^{2}}; I_{2} (z) = I_{0} \cdot e - γ z^{2},

(1)

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F_{S 1} (x) = k_{S} \cdot I_{1} (x) = Q_{S} \cdot \frac{A}{c} \cdot I_{1} (x),

(2)

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F_{G 1} (x) = k_{G} \cdot | \nabla⃗ I_{1} (x) | = 2 γ k_{G} \cdot x \cdot I_{1} (x) = Q_{G} (x) \cdot \frac{A}{c} \cdot I_{1} (x),

(3)

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F_{S 1} (x) = F_{G 2} (z),

(4)

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F_{G 1} (x) = F_{S 2} (z),

(5)

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x_{T} = z_{T} = \frac{k_{S}}{k_{G}} \frac{1}{2 γ} = \frac{k_{S}}{k_{G}} \frac{w_{0}^{2}}{4},

(6)

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w_{0} \leq 2 \frac{k_{G}}{k_{S}} .

(7)

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m \ddot{z} = F_{optical} (z) + F_{drag} (z) = F_{S 1} (z) + F_{G 2} (z) + 3 π η d \dot{z},

(8)

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m \ddot{x} = F_{optical} (x) + F_{drag} (x) = F_{S 2} (x) + F_{G 1} (x) + 3 π η d \dot{x} .

(9)

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K. D. Leake, A. R. Hawkins, H. Schmidt. All-optical particle trap using orthogonally intersecting beams [Invited][J]. Photonics Research, 2013, 1(1): 47

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