Abstract

Inspired by a theory previously derived by Wolf and Collett [Opt. Commun. 25, 293 (1978)], we demonstrate that partially coherent Gaussian–Schell model fluctuating sources (GSMS) produce exactly the same optical forces as a fully coherent laser beam. We also show that this kind of source helps to control the magnitude of the light–matter mechanical interaction in biological samples, which are sensitive to thermal heating induced by higher intensities. The latter is a consequence of the fact that the same photonic force can be obtained with a low-intensity GSMS as with a high-intensity laser beam.

© 2013 Optical Society of America

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    [CrossRef]
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2012

2011

2010

2009

C. Zhao, Y. Cai, and O. Korotkova, Opt. Express 17, 21472 (2009).
[CrossRef]

S. Albaladejo, M. I. Marques, M. Laroche, and J. J. Sáenz, Phys. Rev. Lett. 102, 1136021 (2009).
[CrossRef]

2007

2006

V. Wong and M. A. Ratner, Phys. Rev. B 73, 075416 (2006).
[CrossRef]

2005

H. Roychowdhury and O. Korotkova, Opt. Commun. 249, 379 (2005).
[CrossRef]

2004

M. Nieto-Vesperinas, P. C. Chaumet, and A. Rahmani, Phil. Trans. R. Soc. A 362, 719 (2004).
[CrossRef]

2003

2002

P. C. Chaumet, A. Rahmani, and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 123601 (2002).
[CrossRef]

H. Xu and M. Käll, Phys. Rev. Lett. 89, 246802 (2002).
[CrossRef]

J. R. Arias-González, M. Nieto-Vesperinas, and M. Lester, Phys. Rev. B 65, 115402 (2002).
[CrossRef]

2000

1988

1987

A. Ashkin and J. Dziedzic, Science 235, 1517 (1987).
[CrossRef]

1986

1985

1979

P. D. Santis, F. Gori, G. Guattari, and C. Palma, Opt. Commun. 29, 256 (1979).
[CrossRef]

1978

E. Wolf and E. Collett, Opt. Lett. 2, 27 (1978).
[CrossRef]

E. Wolf and E. Collett, Opt. Commun. 25, 293 (1978).
[CrossRef]

1970

A. Ashkin, Phys. Rev. Lett. 24, 156 (1970).
[CrossRef]

Albaladejo, S.

S. Albaladejo, M. I. Marques, M. Laroche, and J. J. Sáenz, Phys. Rev. Lett. 102, 1136021 (2009).
[CrossRef]

Arias-González, J. R.

J. R. Arias-González and M. Nieto-Vesperinas, J. Opt. Soc. Am. A 20, 1201 (2003).
[CrossRef]

J. R. Arias-González, M. Nieto-Vesperinas, and M. Lester, Phys. Rev. B 65, 115402 (2002).
[CrossRef]

Ashkin, A.

A. Ashkin and J. Dziedzic, Science 235, 1517 (1987).
[CrossRef]

A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and S. Chu, Opt. Lett. 11, 288 (1986).
[CrossRef]

A. Ashkin, Phys. Rev. Lett. 24, 156 (1970).
[CrossRef]

Auñón, J. M.

J. M. Auñón and M. Nieto-Vesperinas, Phys. Rev. A 85, 053828 (2012).
[CrossRef]

J. M. Auñón and M. Nieto-Vesperinas, J. Opt. Soc. Am. A 29, 1389 (2012).
[CrossRef]

Bjorkholm, J. E.

Cai, Y.

Chantada, L.

Chaumet, P. C.

M. Nieto-Vesperinas, P. C. Chaumet, and A. Rahmani, Phil. Trans. R. Soc. A 362, 719 (2004).
[CrossRef]

P. C. Chaumet, A. Rahmani, and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 123601 (2002).
[CrossRef]

P. C. Chaumet and M. Nieto-Vesperinas, Opt. Lett. 25, 1065 (2000).
[CrossRef]

Chu, S.

Collett, E.

E. Wolf and E. Collett, Opt. Commun. 25, 293 (1978).
[CrossRef]

E. Wolf and E. Collett, Opt. Lett. 2, 27 (1978).
[CrossRef]

Dziedzic, J.

A. Ashkin and J. Dziedzic, Science 235, 1517 (1987).
[CrossRef]

Dziedzic, J. M.

Friberg, A. T.

Gomez-Medina, R.

Gómez-Medina, R.

Gori, F.

P. D. Santis, F. Gori, G. Guattari, and C. Palma, Opt. Commun. 29, 256 (1979).
[CrossRef]

Grier, D. G.

D. G. Grier, Nature 424, 810 (2003).
[CrossRef]

Guattari, G.

P. D. Santis, F. Gori, G. Guattari, and C. Palma, Opt. Commun. 29, 256 (1979).
[CrossRef]

Käll, M.

H. Xu and M. Käll, Phys. Rev. Lett. 89, 246802 (2002).
[CrossRef]

Korotkova, O.

C. Zhao, Y. Cai, and O. Korotkova, Opt. Express 17, 21472 (2009).
[CrossRef]

H. Roychowdhury and O. Korotkova, Opt. Commun. 249, 379 (2005).
[CrossRef]

Laroche, M.

S. Albaladejo, M. I. Marques, M. Laroche, and J. J. Sáenz, Phys. Rev. Lett. 102, 1136021 (2009).
[CrossRef]

Lester, M.

J. R. Arias-González, M. Nieto-Vesperinas, and M. Lester, Phys. Rev. B 65, 115402 (2002).
[CrossRef]

Lu, X. H.

Mandel, L.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

Marques, M. I.

S. Albaladejo, M. I. Marques, M. Laroche, and J. J. Sáenz, Phys. Rev. Lett. 102, 1136021 (2009).
[CrossRef]

Nieto-Vesperinas, M.

J. M. Auñón and M. Nieto-Vesperinas, Phys. Rev. A 85, 053828 (2012).
[CrossRef]

J. M. Auñón and M. Nieto-Vesperinas, J. Opt. Soc. Am. A 29, 1389 (2012).
[CrossRef]

F. J. Valdivia-Valero and M. Nieto-Vesperinas, Opt. Express 20, 13368 (2012).
[CrossRef]

M. Nieto-Vesperinas, R. Gomez-Medina, and J. J. Saenz, J. Opt. Soc. Am. A 28, 54 (2011).
[CrossRef]

M. Nieto-Vesperinas, J. J. Sáenz, R. Gómez-Medina, and L. Chantada, Opt. Express 18, 11428 (2010).
[CrossRef]

M. Nieto-Vesperinas, P. C. Chaumet, and A. Rahmani, Phil. Trans. R. Soc. A 362, 719 (2004).
[CrossRef]

J. R. Arias-González and M. Nieto-Vesperinas, J. Opt. Soc. Am. A 20, 1201 (2003).
[CrossRef]

J. R. Arias-González, M. Nieto-Vesperinas, and M. Lester, Phys. Rev. B 65, 115402 (2002).
[CrossRef]

P. C. Chaumet, A. Rahmani, and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 123601 (2002).
[CrossRef]

P. C. Chaumet and M. Nieto-Vesperinas, Opt. Lett. 25, 1065 (2000).
[CrossRef]

M. Nieto-Vesperinas and E. Wolf, J. Opt. Soc. Am. A 21429 (1985).
[CrossRef]

M. Nieto-Vesperinas, Scattering and Diffraction in Physical Optics (World Science, Singapore, 2006).

Palma, C.

P. D. Santis, F. Gori, G. Guattari, and C. Palma, Opt. Commun. 29, 256 (1979).
[CrossRef]

Rahmani, A.

M. Nieto-Vesperinas, P. C. Chaumet, and A. Rahmani, Phil. Trans. R. Soc. A 362, 719 (2004).
[CrossRef]

P. C. Chaumet, A. Rahmani, and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 123601 (2002).
[CrossRef]

Ratner, M. A.

V. Wong and M. A. Ratner, Phys. Rev. B 73, 075416 (2006).
[CrossRef]

Roychowdhury, H.

H. Roychowdhury and O. Korotkova, Opt. Commun. 249, 379 (2005).
[CrossRef]

Saenz, J. J.

Sáenz, J. J.

M. Nieto-Vesperinas, J. J. Sáenz, R. Gómez-Medina, and L. Chantada, Opt. Express 18, 11428 (2010).
[CrossRef]

S. Albaladejo, M. I. Marques, M. Laroche, and J. J. Sáenz, Phys. Rev. Lett. 102, 1136021 (2009).
[CrossRef]

Santis, P. D.

P. D. Santis, F. Gori, G. Guattari, and C. Palma, Opt. Commun. 29, 256 (1979).
[CrossRef]

Turunen, J.

Valdivia-Valero, F. J.

Wang, L. G.

Wang, L. Q.

Wolf, E.

M. Nieto-Vesperinas and E. Wolf, J. Opt. Soc. Am. A 21429 (1985).
[CrossRef]

E. Wolf and E. Collett, Opt. Commun. 25, 293 (1978).
[CrossRef]

E. Wolf and E. Collett, Opt. Lett. 2, 27 (1978).
[CrossRef]

E. Wolf, Introduction to the Theory of Coherence and Polarization of Light (Cambridge University, 2007).

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

Wong, V.

V. Wong and M. A. Ratner, Phys. Rev. B 73, 075416 (2006).
[CrossRef]

Xu, H.

H. Xu and M. Käll, Phys. Rev. Lett. 89, 246802 (2002).
[CrossRef]

Zhao, C.

Zhao, C. L.

Zhu, S. Y.

J. Opt. Soc. Am. A

Nature

D. G. Grier, Nature 424, 810 (2003).
[CrossRef]

Opt. Commun.

H. Roychowdhury and O. Korotkova, Opt. Commun. 249, 379 (2005).
[CrossRef]

E. Wolf and E. Collett, Opt. Commun. 25, 293 (1978).
[CrossRef]

P. D. Santis, F. Gori, G. Guattari, and C. Palma, Opt. Commun. 29, 256 (1979).
[CrossRef]

Opt. Express

Opt. Lett.

Phil. Trans. R. Soc. A

M. Nieto-Vesperinas, P. C. Chaumet, and A. Rahmani, Phil. Trans. R. Soc. A 362, 719 (2004).
[CrossRef]

Phys. Rev. A

J. M. Auñón and M. Nieto-Vesperinas, Phys. Rev. A 85, 053828 (2012).
[CrossRef]

Phys. Rev. B

V. Wong and M. A. Ratner, Phys. Rev. B 73, 075416 (2006).
[CrossRef]

J. R. Arias-González, M. Nieto-Vesperinas, and M. Lester, Phys. Rev. B 65, 115402 (2002).
[CrossRef]

Phys. Rev. Lett.

S. Albaladejo, M. I. Marques, M. Laroche, and J. J. Sáenz, Phys. Rev. Lett. 102, 1136021 (2009).
[CrossRef]

P. C. Chaumet, A. Rahmani, and M. Nieto-Vesperinas, Phys. Rev. Lett. 88, 123601 (2002).
[CrossRef]

H. Xu and M. Käll, Phys. Rev. Lett. 89, 246802 (2002).
[CrossRef]

A. Ashkin, Phys. Rev. Lett. 24, 156 (1970).
[CrossRef]

Science

A. Ashkin and J. Dziedzic, Science 235, 1517 (1987).
[CrossRef]

Other

M. Nieto-Vesperinas, Scattering and Diffraction in Physical Optics (World Science, Singapore, 2006).

E. Wolf, Introduction to the Theory of Coherence and Polarization of Light (Cambridge University, 2007).

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

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Figures (3)

Fig. 1.
Fig. 1.

Spectral density (left) and spectral degree of coherence (right) at z=0 for different source parameters, which generate the same radiant intensity in the far zone.

Fig. 2.
Fig. 2.

Conservative (first column) and nonconservative (second column) forces in the far zone for the same source parameters as in Fig. 1, with A in mW/μm2 and σg and σs in mm.

Fig. 3.
Fig. 3.

(a) Scheme of the optical tweezer focusing for the ET. (b) Fxcons, (c) Fzcons, and (d) Fznc. The focus distance is z=f=2cm, and the units of the parameters are A in W/μm2 and σg and σs in mm.

Equations (18)

Equations on this page are rendered with MathJax. Learn more.

Fi(r,ω)=Ficons(r,ω)+Finc(r,ω)=ε04ReαeiEj*(r,ω)Ej(r,ω)+ε02ImαeEj*(r,ω)iEj(r,ω),
E(r,ω)=e(ks,ω)eiks·rd2s,
Ficons(r,ω)=ik4ReαeTrAjk(e)(ks,ksω)×(si*si)eik(s*s)·rd2sd2s,
Finc(r,ω)=12ImαeIm{ikTrAjk(e)(ks,ksω)×sieik(s*s)·rd2sd2s},
Wij(0)(ρ1,ρ2,ω)=Si(0)(ρ1,ω)Sj(0)(ρ2,ω)μij(0)(ρ2ρ1,ω),
Si(ρ,ω)=Aiexp[ρ2/(2σs,i2(ω))],
μij(ρ2ρ1,ω)=Bijexp[|ρ2ρ1|2/(2σg,ij2(ω))].
TrAij(ks,1,ks,2)Axx(ks,1,ks,2)=Ak4(4π)2(a2b2)e(αk2s,12+αk2s,222k2βs,1s,2),
Fx,ycons=ReαeAε0c14σs2Δ(z)4eρ22(σsΔ(z))2(x,y)
Fzcons=ReαeAz4k2σs4δ2Δ(z)6ε0c(ρ22σs2Δ(z)2)eρ22(σsΔ(z))2.
Fx,ync=ImαeAε0cz2kσs2δ2Δ(z)4eρ22(σsΔ(z))2(x,y)
Fznc=ImαeA2k7σs4δ4Δ(z)6ε0c[12k8σs4δ4Δ(z)4αk6σs2δ2Δ(z)2+(k424δ4k24z2)k2ρ2]eρ22(σsΔ(z))2,
1σg2+1(2σs)2=1(2σl)2,A=(σlσs)2Al.
w22=w12[(A+BR1)2+(λπw1wc)2B2].
w2,l2=w1,l2[(A+BR1)2+(λπw1,l2)2B2],
I2=I1(w1w2)2,I2,l=I1,l(w1,lw2,l)2.
1σl2=1σs2+1σg2,A=(σlσs)2Al.
Δ(z)=[(fzf)2+(λzπσswc)2]

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