Abstract

We calculate stress distribution on the surface of a spherical cell trapped by two counter propagating beams in the optical stretcher in the ray optics regime. We demonstrate that the local scattering stress is perpendicular to the spherical refractive surface regardless of incident angle, polarization and the reflectance and transmittance at the surface. We explain the apparition of peaks in the stress distribution, which were not revealed in the existing theory. We consider the divergence of the incident beams from the fibers, and express the stress distribution as a function of fiber-to-cell distance. The new theory can predict the cell’s deformation more precisely.

© 2006 Optical Society of America

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  1. A. Constable, Jinha Kim, J. Mervis, F. Zarinetchi, and M. Prentiss, "Demonstration of a fiber-optical light-force trap," Opt. Lett. 18,1867-1869 (1993).
  2. J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C.C. Cunningham, and J. Käs, "The Optical Stretcher: A Novel Laser Tool to Micromanipulate Cells," Biophys. J. 81,767-784 (2001).
  3. M. Wei, K. Yang, A. Karmenyan, and A. Chiou, "Three-dimensional optical force field on a Chinese hamster ovary cell in a fiber-optical dual-beam trap," Opt. Express 14,3056-3064 (2006).
    [CrossRef]
  4. Sleep, J. , D. Wilson, R. Simmons, and W. Gratzer, "Elasticity of the red cell membrane and its relation to hemolytic disorders: an optical tweezers study," Biophys. J. 77,3085-3095 (1999).
  5. S. Hénon, G. Lenormand, A. Richert, and F. Gallet, "A New Determination of the Shear Modulus of the Human Erythrocyte Membrane Using Optical Tweezers," Biophys. J. 76,1145-1151, (1999).
  6. Y.P. Liu, Chuan Li, A.C.K. Lai, "Experimental study on the deformation of erythrocytes under optically trapping and stretching," Mater. Sci. Eng. A 423,128-133 (2006).
  7. A. L Weisenhornt, M. Khorsandit, S. Kasast, V. Gotzost and H.-J. Butt, "Deformation and height anomaly of soft surfaces studied with an AFM," Nanotechnology 4,106-113 (1993).
  8. R. M. Hochmuth, "Micropipette aspiration of living cells," J. Biomech. 33,15-22 (2000).
    [CrossRef]
  9. A. Ashkin, "Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime," Biophys. J. 61, 569-582 (1992).
  10. G. Roosen, "A theoretical and experimental study of the stable equilibrium positions of spheres levitated by two horizontal laser beams," Opt. Commun. 21, 189-194 (1997).
  11. P. J. Rodrigo, I. R. Perch-Nielsen, and J. Glückstad, "Three-dimensional forces in GPC-based counterpropagating-beam traps," Opt. Express 14,5812-5822 (2006).
    [CrossRef]
  12. K.C. Neuman, "Characterization of Photodamage to Escherichia coli in Optical Traps," Biophys. J. 77,2856-2863 (1999).

2006 (3)

M. Wei, K. Yang, A. Karmenyan, and A. Chiou, "Three-dimensional optical force field on a Chinese hamster ovary cell in a fiber-optical dual-beam trap," Opt. Express 14,3056-3064 (2006).
[CrossRef]

Y.P. Liu, Chuan Li, A.C.K. Lai, "Experimental study on the deformation of erythrocytes under optically trapping and stretching," Mater. Sci. Eng. A 423,128-133 (2006).

Y.P. Liu, Chuan Li, A.C.K. Lai, "Experimental study on the deformation of erythrocytes under optically trapping and stretching," Mater. Sci. Eng. A 423,128-133 (2006).

P. J. Rodrigo, I. R. Perch-Nielsen, and J. Glückstad, "Three-dimensional forces in GPC-based counterpropagating-beam traps," Opt. Express 14,5812-5822 (2006).
[CrossRef]

2001 (1)

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C.C. Cunningham, and J. Käs, "The Optical Stretcher: A Novel Laser Tool to Micromanipulate Cells," Biophys. J. 81,767-784 (2001).

2000 (1)

R. M. Hochmuth, "Micropipette aspiration of living cells," J. Biomech. 33,15-22 (2000).
[CrossRef]

1999 (3)

Sleep, J. , D. Wilson, R. Simmons, and W. Gratzer, "Elasticity of the red cell membrane and its relation to hemolytic disorders: an optical tweezers study," Biophys. J. 77,3085-3095 (1999).

S. Hénon, G. Lenormand, A. Richert, and F. Gallet, "A New Determination of the Shear Modulus of the Human Erythrocyte Membrane Using Optical Tweezers," Biophys. J. 76,1145-1151, (1999).

K.C. Neuman, "Characterization of Photodamage to Escherichia coli in Optical Traps," Biophys. J. 77,2856-2863 (1999).

1997 (1)

G. Roosen, "A theoretical and experimental study of the stable equilibrium positions of spheres levitated by two horizontal laser beams," Opt. Commun. 21, 189-194 (1997).

1993 (2)

1992 (1)

A. Ashkin, "Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime," Biophys. J. 61, 569-582 (1992).

Ananthakrishnan, R.

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C.C. Cunningham, and J. Käs, "The Optical Stretcher: A Novel Laser Tool to Micromanipulate Cells," Biophys. J. 81,767-784 (2001).

Ashkin, A.

A. Ashkin, "Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime," Biophys. J. 61, 569-582 (1992).

Butt, H.-J.

A. L Weisenhornt, M. Khorsandit, S. Kasast, V. Gotzost and H.-J. Butt, "Deformation and height anomaly of soft surfaces studied with an AFM," Nanotechnology 4,106-113 (1993).

Chiou, A.

Chuan Li, Y.P.

Y.P. Liu, Chuan Li, A.C.K. Lai, "Experimental study on the deformation of erythrocytes under optically trapping and stretching," Mater. Sci. Eng. A 423,128-133 (2006).

Constable, A.

Cunningham, C.C.

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C.C. Cunningham, and J. Käs, "The Optical Stretcher: A Novel Laser Tool to Micromanipulate Cells," Biophys. J. 81,767-784 (2001).

Gallet, F.

S. Hénon, G. Lenormand, A. Richert, and F. Gallet, "A New Determination of the Shear Modulus of the Human Erythrocyte Membrane Using Optical Tweezers," Biophys. J. 76,1145-1151, (1999).

Glückstad, J.

Gotzost, V.

A. L Weisenhornt, M. Khorsandit, S. Kasast, V. Gotzost and H.-J. Butt, "Deformation and height anomaly of soft surfaces studied with an AFM," Nanotechnology 4,106-113 (1993).

Gratzer, W.

Sleep, J. , D. Wilson, R. Simmons, and W. Gratzer, "Elasticity of the red cell membrane and its relation to hemolytic disorders: an optical tweezers study," Biophys. J. 77,3085-3095 (1999).

Guck, J.

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C.C. Cunningham, and J. Käs, "The Optical Stretcher: A Novel Laser Tool to Micromanipulate Cells," Biophys. J. 81,767-784 (2001).

Hénon, S.

S. Hénon, G. Lenormand, A. Richert, and F. Gallet, "A New Determination of the Shear Modulus of the Human Erythrocyte Membrane Using Optical Tweezers," Biophys. J. 76,1145-1151, (1999).

Hochmuth, R. M.

R. M. Hochmuth, "Micropipette aspiration of living cells," J. Biomech. 33,15-22 (2000).
[CrossRef]

Jinha Kim, A.

Karmenyan, A.

Käs, J.

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C.C. Cunningham, and J. Käs, "The Optical Stretcher: A Novel Laser Tool to Micromanipulate Cells," Biophys. J. 81,767-784 (2001).

Kasast, S.

A. L Weisenhornt, M. Khorsandit, S. Kasast, V. Gotzost and H.-J. Butt, "Deformation and height anomaly of soft surfaces studied with an AFM," Nanotechnology 4,106-113 (1993).

Khorsandit, M.

A. L Weisenhornt, M. Khorsandit, S. Kasast, V. Gotzost and H.-J. Butt, "Deformation and height anomaly of soft surfaces studied with an AFM," Nanotechnology 4,106-113 (1993).

Lenormand, G.

S. Hénon, G. Lenormand, A. Richert, and F. Gallet, "A New Determination of the Shear Modulus of the Human Erythrocyte Membrane Using Optical Tweezers," Biophys. J. 76,1145-1151, (1999).

Liu, Y.P.

Y.P. Liu, Chuan Li, A.C.K. Lai, "Experimental study on the deformation of erythrocytes under optically trapping and stretching," Mater. Sci. Eng. A 423,128-133 (2006).

Mahmood, H.

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C.C. Cunningham, and J. Käs, "The Optical Stretcher: A Novel Laser Tool to Micromanipulate Cells," Biophys. J. 81,767-784 (2001).

Moon, T. J.

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C.C. Cunningham, and J. Käs, "The Optical Stretcher: A Novel Laser Tool to Micromanipulate Cells," Biophys. J. 81,767-784 (2001).

Neuman, K.C.

K.C. Neuman, "Characterization of Photodamage to Escherichia coli in Optical Traps," Biophys. J. 77,2856-2863 (1999).

Perch-Nielsen, I. R.

Richert, A.

S. Hénon, G. Lenormand, A. Richert, and F. Gallet, "A New Determination of the Shear Modulus of the Human Erythrocyte Membrane Using Optical Tweezers," Biophys. J. 76,1145-1151, (1999).

Rodrigo, P. J.

Roosen, G.

G. Roosen, "A theoretical and experimental study of the stable equilibrium positions of spheres levitated by two horizontal laser beams," Opt. Commun. 21, 189-194 (1997).

Simmons, R.

Sleep, J. , D. Wilson, R. Simmons, and W. Gratzer, "Elasticity of the red cell membrane and its relation to hemolytic disorders: an optical tweezers study," Biophys. J. 77,3085-3095 (1999).

Sleep,

Sleep, J. , D. Wilson, R. Simmons, and W. Gratzer, "Elasticity of the red cell membrane and its relation to hemolytic disorders: an optical tweezers study," Biophys. J. 77,3085-3095 (1999).

Wei, M.

Weisenhornt, A. L

A. L Weisenhornt, M. Khorsandit, S. Kasast, V. Gotzost and H.-J. Butt, "Deformation and height anomaly of soft surfaces studied with an AFM," Nanotechnology 4,106-113 (1993).

Wilson, D.

Sleep, J. , D. Wilson, R. Simmons, and W. Gratzer, "Elasticity of the red cell membrane and its relation to hemolytic disorders: an optical tweezers study," Biophys. J. 77,3085-3095 (1999).

Yang, K.

Biophys. J. (5)

Sleep, J. , D. Wilson, R. Simmons, and W. Gratzer, "Elasticity of the red cell membrane and its relation to hemolytic disorders: an optical tweezers study," Biophys. J. 77,3085-3095 (1999).

S. Hénon, G. Lenormand, A. Richert, and F. Gallet, "A New Determination of the Shear Modulus of the Human Erythrocyte Membrane Using Optical Tweezers," Biophys. J. 76,1145-1151, (1999).

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C.C. Cunningham, and J. Käs, "The Optical Stretcher: A Novel Laser Tool to Micromanipulate Cells," Biophys. J. 81,767-784 (2001).

A. Ashkin, "Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime," Biophys. J. 61, 569-582 (1992).

K.C. Neuman, "Characterization of Photodamage to Escherichia coli in Optical Traps," Biophys. J. 77,2856-2863 (1999).

J. Biomech. (1)

R. M. Hochmuth, "Micropipette aspiration of living cells," J. Biomech. 33,15-22 (2000).
[CrossRef]

Mater. Sci. Eng. A (1)

Y.P. Liu, Chuan Li, A.C.K. Lai, "Experimental study on the deformation of erythrocytes under optically trapping and stretching," Mater. Sci. Eng. A 423,128-133 (2006).

Nanotechnology (1)

A. L Weisenhornt, M. Khorsandit, S. Kasast, V. Gotzost and H.-J. Butt, "Deformation and height anomaly of soft surfaces studied with an AFM," Nanotechnology 4,106-113 (1993).

Opt. Commun. (1)

G. Roosen, "A theoretical and experimental study of the stable equilibrium positions of spheres levitated by two horizontal laser beams," Opt. Commun. 21, 189-194 (1997).

Opt. Express (2)

Opt. Lett. (1)

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