The 2018 Nobel Prize in Physics was awarded for the invention of optical trapping and generation of ultrashort pulses, which revolutionized many areas of modern science and technology. However, physics of optical trapping under ultra-short pulsed excitation has not been explored much. The nonlinear nature of optical trapping force/potential under ultra-short pulsed excitation was theoretically investigated, however, without any direct experimental demonstration and development of any generalized theory independent of the particle size. In this work, we present a methodology to numerically estimate trapping force/potential including optical as well as thermal nonlinearity under ultra-short pulsed excitation and implement a variety of detection modalities to capture the particle's real-time trajectories. We show how highly asymmetric nonlinear axial potential, created by a femtosecond pulse-train, can be mapped from the dynamics of the trapped particle. Considering fine-tuning of trap-stiffness by changing nonlinearity, we envision far-reaching applications of using ultra-short pulsed excitation in laser trapping and manipulation.

1.
A.
Ashkin
, “
Acceleration and trapping of particles by radiation pressure
,”
Phys. Rev. Lett.
24
,
156
159
(
1970
).
2.
A.
Ashkin
,
J. M.
Dziedzic
,
J. E.
Bjorkholm
, and
S.
Chu
, “
Observation of a single-beam gradient force optical trap for dielectric particles
,”
Opt. Lett.
11
,
288
290
(
1986
).
3.
A.
Ashkin
and
J. M.
Dziedzic
, “
Trapping and manipulation of viruses and bacteria
,”
Science
235
,
1517
1520
(
1987
).
4.
A.
Ashkin
,
K.
Schutze
,
J. M.
Dsiedzic
,
U.
Euteneuer
, and
M.
Schliwa
, “
Force generation of organelle transport measured in vivo by an infrared laser trap
,”
Nature
348
,
346
348
(
1990
).
5.
A.
Ashkin
,
Optical Trapping and Manipulation of Neutral Particles Using Lasers: A Reprint Volume with Commentaries
(
World Scientific
,
2006
).
6.
K.
Svoboda
and
S. M.
Block
, “
Biological application of optical forces
,”
Annu. Rev. Biophys. Biomol. Struct.
23
,
247
285
(
1994
).
7.
D. G.
Grier
, “
A revolution in optical manipulation
,”
Nature
424
,
810
816
(
2003
).
8.
K. C.
Neuman
and
S. M.
Block
, “
Optical trapping
,”
Rev. Sci. Instrum.
75
,
2787
2809
(
2004
).
9.
J. R.
Moffitt
,
Y. R.
Chemla
,
S. B.
Smith
, and
C.
Bustamante
, “
Recent advances in optical tweezers
,”
Annu. Rev. Biochem.
77
,
205
228
(
2008
).
10.
A. E.
Larsen
and
D. G.
Grier
, “
Like-charge attraction in metastable colloidal crystallites
,”
Nature
385
,
230
233
(
1997
).
11.
M. P.
MacDonald
,
G. C.
Spalding
, and
K.
Dholakia
, “
Microfluidic sorting in an optical lattice
,”
Nature
426
,
421
424
(
2003
).
12.
D. T.
Chiu
and
R. N.
Zare
, “
Biased diffusion, optical trapping, and manipulation of single molecules in solution
,”
J. Am. Chem. Soc.
118
,
6512
6513
(
1996
).
13.
P. M.
Hansen
,
V. K.
Bhatia
,
N.
Harrit
, and
L.
Oddershede
, “
Expanding the optical trapping range of gold nanoparticles
,”
Nano Lett.
5
(
10
),
1937
1942
(
2005
).
14.
S. M.
Block
,
L. S. B.
Goldstein
, and
B. J.
Schnapp
, “
Bead movement by single kinesin molecules studied with optical tweezers
,”
Nature
348
,
348
352
(
1990
).
15.
D. E.
Smith
,
S. J.
Tans
,
S. B.
Smith
,
S.
Grimes
,
S. L.
Anderson
, and
C.
Bustamante
, “
The bacteriophage ϕ29 portal motor can package DNA against a large internal force
,”
Nature
413
,
748
752
(
2001
).
16.
H.
Misawa
,
M.
Koshioka
,
K.
Sasaki
,
N.
Kitamura
, and
H.
Masuhara
, “
Three-dimensional optical trapping and laser ablation of a single polymer latex particle in water
,”
J. Appl. Phys.
70
(
7
),
3829
3836
(
1991
).
17.
A. A.
Ambaredkar
and
Y.
Li
, “
Optical levitation and manipulation of stuck particles with pulsed optical tweezers
,”
Opt. Lett.
30
,
1797
1799
(
2005
).
18.
B.
Agate
,
C. T. A.
Brown
,
W.
Sibbett
, and
K.
Dholakia
, “
Femtosecond optical tweezers for in-situ control of two-photon fluorescence
,”
Opt. Express
12
,
3011
3017
(
2004
).
19.
L.
Pan
,
A.
Ishikawa
, and
N.
Tamai
, “
Detection of optical trapping of CdTe quantum dots by two-photon-induced luminescence
,”
Phys. Rev. B
75
,
161305 (R)
(
2007
).
20.
A. K.
De
,
D.
Roy
,
A.
Dutta
, and
D.
Goswami
, “
Stable optical trapping of latex nanoparticles with ultrashort pulsed illumination
,”
Appl. Opt.
48
,
G33
G37
(
2009
).
21.
J. C.
Shane
,
M.
Mazilu
,
W. M.
Lee
, and
K.
Dholakia
, “
Effect of pulse temporal shape on optical trapping and impulse transfer using ultrashort pulsed lasers
,”
Opt. Express
18
,
7554
7568
(
2010
).
22.
A.
Usman
,
W.-Y.
Chiang
, and
H.
Masuhara
, “
Optical trapping and polarization-controlled scattering of dielectric spherical nanoparticles by femtosecond laser pulses
,”
J. Photochem. Photobiol. A
234
,
83
90
(
2012
).
23.
A.
Usman
,
W.-Y.
Chiang
, and
H.
Masuhara
, “
Optical trapping of nanoparticles by ultrashort laser pulses
,”
Sci. Prog.
96
(
1
),
1
18
(
2013
).
24.
W.-Y.
Chiang
,
A.
Usman
, and
H.
Masuhara
, “
Femtosecond pulse-width dependent trapping and directional ejection dynamics of dielectric nanoparticles
,”
J. Phys. Chem. C
117
,
19182
19188
(
2013
).
25.
W.-Y.
Chiang
,
T.
Okuhata
,
A.
Usman
,
N.
Tamai
, and
H.
Masuhara
, “
Efficient optical trapping of CdTe Quantum dots by femtosecond laser pulses
,”
J. Phys. Chem. B
118
,
14010
14016
(
2014
).
26.
T.-H.
Liu
,
W.-Y.
Chiang
,
A.
Usman
, and
H.
Masuhara
, “
Optical trapping dynamics of a single polystyrene sphere: Continuous wave versus femtosecond lasers
,”
J. Phys. Chem. C
120
,
2392
2399
(
2016
).
27.
A.
Kittiravechote
,
A.
Usman
,
H.
Masuhara
, and
I.
Liau
, “
Enhanced optical confinement of dielectric nanoparticles by two-photon resonance transition
,”
RSC Adv.
7
,
42606
42613
(
2017
).
28.
D.
Roy
,
D.
Goswami
, and
A. K.
De
, “
Exploring the physics of efficient optical trapping of dielectric nanoparticles with ultrafast pulsed excitation
,”
Appl. Opt.
54
,
7002
7006
(
2015
).
29.
L. G.
Wang
and
C. L.
Zhao
, “
Dynamic radiation force of a pulsed Gaussian beam acting on a Rayleigh dielectric sphere
,”
Opt. Express
15
,
10615
10621
(
2007
).
30.
L. G.
Wang
and
H. S.
Chai
, “
Revisit on dynamic radiation forces induced by pulsed Gaussian beams
,”
Opt. Express
19
,
14389
14402
(
2011
).
31.
A.
Devi
and
A. K.
De
, “
Theoretical investigation on nonlinear optical effect in laser trapping of dielectric nanoparticles with ultrafast pulsed excitation
,”
Opt. Express
24
,
21485
21496
(
2016
).
32.
A.
Devi
and
A. K.
De
, “
Theoretical estimation of nonlinear optical force on dielectric spherical particles of arbitrary size under femtosecond pulsed excitation
,”
Phys. Rev. A
96
,
023856
(
2017
).
33.
A.
Devi
and
A. K.
De
, “
Theoretical investigation on optical Kerr effect in femtosecond laser trapping of dielectric micro-particles
,”
J. Opt.
19
,
065504
(
2017
).
34.
A.
Devi
and
A. K.
De
, “
Alternate theoretical formulation of optical force on a dielectric sphere in the ray optics limit
,”
J. Opt. Soc. Am. B
35
,
244
250
(
2018
).
35.
R. W.
Boyd
,
Nonlinear Optics
(
Academic Press
,
San Diego
,
1992
).
36.
R.
Pobre
and
C.
Saloma
, “
Radiation force on a nonlinear microsphere by a tightly focused Gaussian beam
,”
Appl. Opt.
41
(
36
),
7694
7701
(
2002
).
37.
R.
Pobre
and
C.
Saloma
, “
Radiation force exerted on nanometer size non-resonant Kerr particle by a tightly focused Gaussian beam
,”
Opt. Commun.
267
(
2
),
295
304
(
2006
).
38.
A.
Devi
and
A. K.
De
, “
Simultaneous detection of two-photon fluorescence and backscatter of optical trapping of dielectric nanoparticles under femtosecond pulsed excitation
,”
J. Nanophotonics
13
(
2
),
1
(
2019
).
39.
A.
Devi
and
A. K.
De
, “
A table-top compact multimodal nonlinear laser tweezer
,”
Opt. Commun.
(in press).
40.
E. J. G.
Peterman
,
F.
Gittes
, and
C. F.
Schmidt
, “
Laser-induced heating in optical traps
,”
Biophys. J.
84
,
1308
1316
(
2003
).
41.
P. A.
Maia Netro
and
H. M.
Nussenzveig
, “
Theory of optical tweezer
,”
Europhys. Lett.
50
,
702
708
(
2000
).
42.
M. C.
Mullenbroich
,
N.
McAlinden
, and
A. J.
Wright
, “
Adaptive optics in an optical trapping system for enhanced lateral trap-stiffness at depth
,”
J. Opt.
15
,
075305
(
2013
).
43.
L.
Chen
,
Y.
Zhou
,
Y.
Li
, and
M.
Hong
, “
Microsphere enhanced optical imaging and patterning: From physics to applications
,”
Appl. Phys. Rev.
6
,
021304
(
2019
).
44.
T.
Kudo
,
H.
Ishihara
, and
H.
Masuhara
, “
Resonance optical trapping of individual dye doped polystyrene particles with blue- and red-detuned lasers
,”
Opt. Express
25
(
5
),
4655
4664
(
2017
).
45.
A.
Devi
and
A. K.
De
, “
Harnessing optical nonlinearity to control reversal of trapping force: A theoretical investigation
,”
J. Opt.
21
,
065502
(
2019
).
46.
A.
Devi
and
A. K.
De
, “
Generalized Lorenz-Mie theory for the reversal of optical force in a nonlinear laser trap
,”
Phys. Rev. A
102
,
023509
(
2020
).
47.
B. I. I.
Slowing
,
B. G.
Trewyn
,
S.
Giri
, and
V. S.-Y.
Lin
, “
Mesoporous silica nanoparticles for drug delivery and biosensing applications
,”
Adv. Funct. Mater.
17
,
1225
1236
(
2007
).
48.
A.
Devi
,
S. S.
Nair
, and
A. K.
De
, “
Disappearance and reappearance of optical trap for silver nanoparticles under femtosecond pulsed excitation: A theoretical investigation
,”
Europhys. Lett.
126
,
28002
(
2019
).
49.
S.
Yadav
,
A.
Devi
, and
A. K.
De
, “
Synergistic effect of Fano-resonance and optical nonlinearity in laser trapping of silver nanoparticles
,”
Phys. Rev. A
102
,
043511
(
2020
).
50.
Y.
Jiang
,
T.
Narushima
, and
H.
Okamoto
, “
Nonlinear optical effects in trapping nanoparticles with femtosecond pulses
,”
Nat. Phys.
6
,
1005
1009
(
2010
).
51.
R.
Huang
,
I.
Chavez
,
K. M.
Taute
,
B.
Lukic
,
S.
Jeney
,
M. G.
Raizen
, and
E.-L.
Florin
, “
Direct observation of the full transition from ballistic to diffusive Brownian motion in a liquid
,”
Nat. Phys.
7
,
576
577
(
2011
).

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