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Biomedical Optics Express

Biomedical Optics Express

  • Editor: Joseph A. Izatt
  • Vol. 5, Iss. 8 — Aug. 1, 2014
  • pp: 2471–2480
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Trapping of a single DNA molecule using nanoplasmonic structures for biosensor applications

Jung-Dae Kim and Yong-Gu Lee  »View Author Affiliations


Biomedical Optics Express, Vol. 5, Issue 8, pp. 2471-2480 (2014)
http://dx.doi.org/10.1364/BOE.5.002471


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Abstract

Conventional optical trapping using a tightly focused beam is not suitable for trapping particles that are smaller than the diffraction limit because of the increasing need of the incident laser power that could produce permanent thermal damages. One of the current solutions to this problem is to intensify the local field enhancement by using nanoplasmonic structures without increasing the laser power. Nanoplasmonic tweezers have been used for various small molecules but there is no known report of trapping a single DNA molecule. In this paper, we present the trapping of a single DNA molecule using a nanohole created on a gold substrate. Furthermore, we show that the DNA of different lengths can be differentiated through the measurement of scattering signals leading to possible new DNA sensor applications.

© 2014 Optical Society of America

1. Introduction

2. Experimental setup

Figure 1
Fig. 1 Schematic of the nanoplasmonic system; Lens: L, Mirror: M, Dichroic mirror: DM, Neutral density: ND.
illustrates the schematic layout of the nanoplasmonic trapping system. The incident beam from a TEM00 1050 nm wavelength fiber laser (IPG Photonics, YLM-10) is delivered to the PDMS chamber from the top left corner through two achromatic lenses L1 and L2 that works as a beam expander. The expanded beam is reflected by a mirror M1 and the beam diameter is scaled down by a second beam expander formed by L3 and L4. The resulting beam diameter is just the right size to overfill the back aperture of the objective lens (Olympus, UPLSAPO 60XW, 1.2 NA) mounted on a three axes piezo stage (Mad City Labs Inc., Nano-LP200) sitting on a two axes motorized stage (Thorlabs, MT1/M-Z8). The combined use of the motorized and piezo stages allows the exact positioning of the nanohole drilled on the gold substrate with the resolution of 0.4 nm. The workspace is 13 mm in the lateral direction and 200 µm in the axial direction. A fast CMOS camera (Microtron, Eosens CL) is used for obtaining the bright field image. The scattering beam from the sample plane is collected by a condenser lens and reduced in the intensity using a neutral density filter and measured by an avalanche photodiodes (Hamamatsu, G8931-04) mounted on a manual stage.

3. Preparation of microchamber

Figure 2
Fig. 2 Process of sample preparation for experiment.
shows the process of sample preparation for the experiment. Before the DNA trapping experiments are performed, the DNA is placed on a several micrometer deep chamber. This chamber is made of Polydimethylsiloxane (PDMS) and following steps are carried out for the preparation. Firstly, a commercially available Sylgard 184A and Sylgard 184B (Dow Corning) are mixed at 10:1 ratio (Fig. 2(a)) and stirred (Fig. 2(b)). Vapor bubbles formed during the stirring is removed using an evaporator (Fig. 2(c)). The resulting mixture is spread on a coverglass (Fig. 2(d)) and spin coated so that the thickness is even and the coating covers the whole coverglass (Fig. 2(e)). The thickness of the PDMS is determined by the rotational speed of the spin coater. For 30 µm thickness, spin rotation speed is set to 3000 rpm for duration of 30 seconds. The resulting spread is still in a liquid state and needs to be solidified. For this purpose the spin coated coverglass is placed on a hot plate and baked for 30 minutes at 80 °C (Fig. 2(f)). Subsequently, the PDMS is cut in a rectangle whose dimensions are equal to that of the gold substrate using a cutter (Fig. 2(g)). Finally, the chamber is filled with a DNA solution being careful of not overfilling (Fig. 2(h)) and covered with the gold substrate (Fig. 2(i)). Nanoholes were drilled with a focused ion beam on a 100 nm thick gold substrate which is made from depositing Au (EMF Corp., TA124) on a glass with 5 nm thick Ti that works as the adhesive layer between the two. The purpose of fabricating this chamber is to slow down the quick evaporation of the DNA solution during the experiment.

4. Transmittance of laser according to size of holes

Bethe has done the theoretical work of a light transmission through a sub-wavelength nanohole [30

30. H. A. Bethe, “Theory of diffraction by small holes,” Phys. Rev. 66(7-8), 163–182 (1944). [CrossRef]

]. He derived the mathematical equation of a light transmission through a circular hole on a zero thickness perfect conductor. His theory predicts the total radiation transmitted through this hole as a function of the hole diameter [31

31. F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82(1), 729–787 (2010). [CrossRef]

]. His theory only works for the ideal plate of zero thickness. On the contrary, Roberts [32

32. A. Roberts, “Electromagnetic theory of diffraction by a circular aperture in a thick, perfectly conducting screen,” J. Opt. Soc. Am. A 4(10), 1970–1983 (1987). [CrossRef]

] proposed a numerical calculation on the transmission coefficient dependence on k0a. k0(=2π/λ) and a are wave number and radius of aperture, respectively. The calculations were only done for h (thickness of conducting screen) values, zero, a, 5a and 10a. However, in case of our experiment, h ( = 100 nm) is smaller than a ( = 200 nm) thus direct comparison is not possible. If we let the thickness of the screen be equal to the radius, the peak value is 368 nm when 1050 nm wavelength laser is used. The authors also showed that the transmission is increased up to a cut off limit and then drops down and plateaus. To maximize the trapping force we need to find this peak hole diameter of 400 nm. We have conducted experiments with varying hole sizes to find this diameter. Later, trapping was done using this diameter.

We have fabricated holes ranging from 210 nm to 450 nm diameters at 10 nm increments and measured the transmission intensity resulting from illuminating each hole with a focused laser. Because we trapped a single DNA molecule in deionized water, the measurement was conducted with a sample chamber filled with deionized water. Figure 3
Fig. 3 Transmission intensity vs. nanohole size drilled on 100 nm thick gold substrate.
plots the transmission measurements on a diameter varying nanoholes for an incident beam of 7.8 mW. We can verify that from 210 nm to 400 nm, the transmission increases as the hole diameter increases. The rate of the increase also increases rapidly and peaks at 400 nm. Afterwards, from 400 nm to 450 nm, we see an abrupt drop of the transmission. This experiment follows the trend of the transmission calculations as a function of hole diameter reported by Roberts [32

32. A. Roberts, “Electromagnetic theory of diffraction by a circular aperture in a thick, perfectly conducting screen,” J. Opt. Soc. Am. A 4(10), 1970–1983 (1987). [CrossRef]

]. Although we have not measured beyond 450 nm, it is conceivable that it will plateau as predicted by Roberts. We would also like to make a note that Juan et al. have chosen 310 nm for the optimally strong field enhancing diameter [12

12. M. L. Juan, R. Gordon, Y. Pang, F. Eftekhari, and R. Quidant, “Self-induced back-action optical trapping of dielectric nanoparticles,” Nat. Phys. 5(12), 915–919 (2009). [CrossRef]

] but our experiment shows 400 nm is best. Figure 4
Fig. 4 Microscope and SEM images of nanoholes fabricated on the gold substrate.
shows the optical microscope image of nanoholes ranging from 210 nm to 450 nm on a gold substrate and a SEM image of a 400 nm nanohole.

5. Experimental results and analysis

We have used two types of DNA for the trapping experiments. The first is a 4.7 kbp plasmid DNA (pAcGFP-C1), and the other is a 48 kbp lambda DNA. 1 bp is about 0.34 nm when stretched. Both DNA solution concentrations are same as 50 ng/μl. Figure 5
Fig. 5 Measurement of transmission intensity by trapping of a plasmid DNA using laser power of (a) 7.8 mW and (b) 13.2 mW, all intensity values are normalized by the original intensity value of B and this is why B is 1.0.
shows the result of intermittent trapping of a plasmid DNA for 90 seconds by illuminating the 400 nm hole with a focused laser beam. Figure 5(a) shows the result of using a 7.8 mW laser for trapping plasmid DNA where the trapping duration totals to 38 seconds and Fig. 5(b) is the same with the laser power raised to 13.2 mW and the total trapping duration is 61 seconds. After the laser is turned on the transmission intensity rises up to line B and then rises for the second time to line A. Afterwards, the measurement oscillates only between the two lines. We can deduce that the higher value at line A is due to the increase in the transmission with the help from the DNA scattering the incident beam.

We have also witnessed similar results for trapping lambda DNA. Figure 6
Fig. 6 Measurement of transmission intensity by trapping of lambda DNA using laser power of (a) 7.8 mW and (b) 13.2 mW, all intensity values are normalized by the original intensity value of B and this is why B is 1.0.
shows trapping of a lambda DNA using a 400 nm nanohole. Figure 6(a) and 6(b) shows lambda DNA trapped for the duration of 38 and 65 seconds, respectively. There is also a similar oscillation between two lines A and B, and A is again higher than B because of the increased transmission resulting from the scattering of DNA when trapped. We can also compare the transmission intensity when plasmid DNA and lambda DNA are trapped with the same power. Lambda DNA results in higher intensity and this is due to the fact that lambda DNA is longer and bigger than the plasmid DNA resulting in stronger scattering signal. We think that DNA of different length can be differentiated by scattering signal.

Now we come to the reason of the normalization of the scattering signal by the value B. When we measure the scattering signal of the chamber without the DNA being trapped, the value varies based on the incident laser power and more importantly, the value was found to be very sensitive to the medium height. Because the chamber only contains small amount of medium and the fact that we are putting heat through the laser irradiation, we found gradual decrease of the scattering signal as a function of time. This is shown in Fig. 7
Fig. 7 Transmission intensity as a function of medium height that decreases as time increases.
where we have monitored the change of the scattering signal when the laser was incident to the chamber without DNA in the medium. As can be seen from the plot, there is a gradual and noticeable drop of the scattering signal. To remove the effect of the chamber height decrease due to the evaporation of the medium, we have normalized all signals by the signal value pertaining to the signal when there is only medium present in the plasmonic trapping region. This in effect also cancels the effect of the laser power, allowing us to compare directly even between scattering graphs coming from different incident power. For example, at the incident power of 7.8 mW, the trapped signal value subtracted by the normalization 1.0 of B gives 0.326 (Fig. 5(a)) and 0.714 (Fig. 6(1)) for the plasmid DNA and lambda DNA, respectively. Also for 13.2 mW laser, we obtained 0.317 (Fig. 5(b)) and 0.639 (Fig. 6(b)). Those subtraction values are named simply the delta values that is obtained by subtracting the trapped signal with the reference signal pertaining to the situation when there is no trapping but only medium present at the focus. Moreover, we have demonstrated trapping of DNAs using different incident laser powers. In case of plasmid DNA, the delta values are 0.281 and 0.349 (Fig. 8(a)
Fig. 8 Difference between average intensity value of line A and B. (a) Trapping delta value of plasmid DNA, (b) Trapping delta value of lambda DNA.
) at 9.2 and 16.7 mW incident power, respectively. Similarly, in case of lambda DNA, the delta values are 0.676 and 0.662 (Fig. 8(b)) at the same incident powers, respectively. The beauty of this normalization allows us to compare directly these delta values irrespective of the medium chamber height and the incident laser power. The errors (standard deviation) of these two values are only less than 7% and 4% for plasmid DNA and lambda DNA, respectively. We believe that this simple normalization allows us to discern between DNAs of variable lengths. Additionally, we could also confirm the trapping duration of two DNAs linearly increases depending on the incident laser power. In case of plasmid DNA, the trapping duration is 42.0, 47.7, 68.0 and 72% at 7.8, 9.2, 13.2, 16.7 mW incident power, respectively (Fig. 9(a)
Fig. 9 Trapping duration of (a) plasmid DNA and (b) lambda DNA during 90 seconds.
). In case of lambda DNA, the trapping duration is 42.0, 52.2, 72.0 and 86.7% at the same laser powers (Fig. 9(b)).

Fundamentally we are determining the length of the DNA through the light scattering. If we approximate the DNA as a small ball of having the radius value equal to the radius of gyration, rG. This value is 0.73 μm [33

33. D. E. Smith, T. T. Perkins, and S. Chu, “Dynamical scaling of DNA diffusion coefficients,” Macromolecules 29(4), 1372–1373 (1996). [CrossRef]

] for the lambda DNA and even smaller for the plasmid DNA. Since the ratio of the radius to the wavelength of the laser (1050 nm) is less than 10%, we can approximate the scattering intensity using the Rayleigh equation [34

34. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (John Wiley & Sons 1998), p. 132.

] which is in the order of rG4, that equation is
I=128π5rG43λ4|εr1εr+2|2,
(1)
where λ is the wavelength of the incident laser, and εr is the ratio of the effective DNA permittivity to that of the medium. The relation between rG and the number of base pairs is complex. In the literature for the linear DNA, the equation is
rG,linear=a[L3a1+2aL2(aL)2(1eLa)]12,
(2)
where a is the persistence length and L is the DNA contour length that can be calculated by multiplying the number of base pairs with the base pair unit length (0.34 nm). The expression is different for circular DNAs as shown below.
rG,circular=[(2a+22a23L)(L122α2a2L+8α3a33L2)a2+4αa3L+8α3a3L(13α6+k2α25+k3α36)]12,
(3)
where α,k2,k3 are functions of L as detailed by Yamakawa [35

35. H. Yamakawa, Helical Wormlike Chains in Polymer Solutions (Springer-Verlag GmbH, 1997), p. 418.

]. If we can assume that La then rG,linear, rG,circularL and by substituting rG with L in Eq. (1), we can state that IL2. Although we should not have directly compared the intensity of the linear DNA with circular DNA, we justify this because L of the linear DNA was an order (x10) longer than the circular DNA. Hence, the intensity signal difference was quite large. We postulate that the proposed method can distinguish the length difference as (L+ΔL)2L2=2LΔL+(ΔL)2LΔL. In other words, the intensity signal difference for a pair of DNAs that are comparatively longer will be stronger. In summary, we can differentiate the difference between two DNAs in the order of the difference times the shorter base length. However, because we have conducted the experiments using only two lengths of DNAs, we could not verify this sensitivity.

The hole depth and diameter is smaller than the radius of gyration of the DNA and thus the DNA at the nanohole will undergo a motion that would be vastly different from conventional optical trapping that occurs in an open space. The intensity fluctuation when entering and exiting the trapped state could be an invaluable source for understanding what is going on. However, we don’t have clear understanding of the trapping motion since it involves the understanding of the behavior of a worm-like-chain model in an optical trap. Nevertheless, we are quite confident that the trapping happens along the edges of the nanohole because this is where the intensity is maximum as shown by other calculations in the literature [12

12. M. L. Juan, R. Gordon, Y. Pang, F. Eftekhari, and R. Quidant, “Self-induced back-action optical trapping of dielectric nanoparticles,” Nat. Phys. 5(12), 915–919 (2009). [CrossRef]

].

6. Conclusion

In this paper, we have demonstrated the trapping of a single DNA using a plasmonic nanohole. The trapping was verified through the measurement of a transmission signal that oscillates between the two states. Based on the scattering theory we can deduce that the higher state is when a scatterer is trapped as opposed to when there is no scatterer. We have conducted the experiment with a 4.7 kbp plasmid DNA and a 48 kbp lambda DNA. We have shown that the increased laser power results in longer trapping, and the longer lambda DNA results in stronger scattering signal. Transmission signal can also work as a barometer for distinguishing DNA of various lengths potentially opening new sensor applications such as DNA fractionations. In summary, this paper reports for the first time of using plasmonic structure for trapping a single DNA and proposes new possibility of using the proposed method for characterizing DNA based on its length.

Acknowledgments

This work was supported by Mid-career Researcher Program through National Research Foundation of Korea (NRF) (2012R1A2A2A03045928) grant funded by the Ministry of Education, Science and Technology (MEST) and by the Basic Research Project through a grant provided by GIST.

References and links

1.

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(5), 288–290 (1986). [CrossRef] [PubMed]

2.

A. Ashkin, “Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime,” Biophys. J. 61(2), 569–582 (1992). [CrossRef] [PubMed]

3.

K. Svoboda and S. M. Block, “Optical trapping of metallic Rayleigh particles,” Opt. Lett. 19(13), 930–932 (1994). [CrossRef] [PubMed]

4.

L. Huang and O. J. F. Martin, “Reversal of the optical force in a plasmonic trap,” Opt. Lett. 33(24), 3001–3003 (2008). [CrossRef] [PubMed]

5.

M. Nieto-Vesperinas, P. C. Chaumet, and A. Rahmani, “Near-field photonic forces,” Philos. Trans. A Math Phys. Eng. Sci. 362(1817), 719–737 (2004). [CrossRef] [PubMed]

6.

K. Okamoto and S. Kawata, “Radiation force exerted on subwavelength particles near a nanoaperture,” Phys. Rev. Lett. 83(22), 4534–4537 (1999). [CrossRef]

7.

R. H. Ritchie, “Plasma losses by fast electrons in thin films,” Phys. Rev. 106(5), 874–881 (1957). [CrossRef]

8.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003). [CrossRef] [PubMed]

9.

F. J. Garcia de Abajo, “Light transmission through a single cylindrical hole in a metallic film,” Opt. Express 10(25), 1475–1484 (2002). [CrossRef] [PubMed]

10.

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett. 95(10), 103901 (2005). [CrossRef] [PubMed]

11.

T. Ishi, J. Fujikata, K. Makita, T. Baba, and K. Ohashi, “Si nano-photodiode with a surface plasmon antenna,” Jpn. J. Appl. Phys. 44(12), L364–L366 (2005). [CrossRef]

12.

M. L. Juan, R. Gordon, Y. Pang, F. Eftekhari, and R. Quidant, “Self-induced back-action optical trapping of dielectric nanoparticles,” Nat. Phys. 5(12), 915–919 (2009). [CrossRef]

13.

Y. Pang and R. Gordon, “Optical trapping of 12 nm dielectric spheres using double-nanoholes in a gold film,” Nano Lett. 11(9), 3763–3767 (2011). [CrossRef] [PubMed]

14.

A. Zehtabi-Oskuie, H. Jiang, B. R. Cyr, D. W. Rennehan, A. A. Al-Balushi, and R. Gordon, “Double nanohole optical trapping: dynamics and protein-antibody co-trapping,” Lab Chip 13(13), 2563–2568 (2013). [CrossRef] [PubMed]

15.

Y. Pang and R. Gordon, “Optical trapping of a single protein,” Nano Lett. 12(1), 402–406 (2012). [CrossRef] [PubMed]

16.

A. Kotnala, D. DePaoli, and R. Gordon, “Sensing nanoparticles using a double nanohole optical trap,” Lab Chip 13(20), 4142–4146 (2013). [CrossRef] [PubMed]

17.

T. Shoji, J. Saitoh, N. Kitamura, F. Nagasawa, K. Murakoshi, H. Yamauchi, S. Ito, H. Miyasaka, H. Ishihara, and Y. Tsuboi, “Permanent fixing or reversible trapping and release of DNA micropatterns on a gold nanostructure using continuous-wave or femtosecond-pulsed near-infrared laser light,” J. Am. Chem. Soc. 135(17), 6643–6648 (2013). [CrossRef] [PubMed]

18.

A. H. J. Yang, S. D. Moore, B. S. Schmidt, M. Klug, M. Lipson, and D. Erickson, “Optical manipulation of nanoparticles and biomolecules in sub-wavelength slot waveguides,” Nature 457(7225), 71–75 (2009). [CrossRef] [PubMed]

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M. L. Juan, M. Righini, and R. Quidant, “Plasmon nano-optical tweezers,” Nat. Photonics 5(6), 349–356 (2011). [CrossRef]

21.

C. Chen, M. L. Juan, Y. Li, G. Maes, G. Borghs, P. Van Dorpe, and R. Quidant, “Enhanced optical trapping and arrangement of nano-objects in a plasmonic nanocavity,” Nano Lett. 12(1), 125–132 (2012). [CrossRef] [PubMed]

22.

C. M. Galloway, M. P. Kreuzer, S. S. Aćimović, G. Volpe, M. Correia, S. B. Petersen, M. T. Neves-Petersen, and R. Quidant, “Plasmon-assisted delivery of single nano-objects in an optical hot spot,” Nano Lett. 13(9), 4299–4304 (2013). [CrossRef] [PubMed]

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25.

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X. Zhu, L. Sun, Y. Chen, Z. Ye, Z. Shen, and G. Li, “Combination of cascade chemical reactions with graphene-DNA interaction to develop new strategy for biosensor fabrication,” Biosens. Bioelectron. 47, 32–37 (2013). [CrossRef] [PubMed]

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T.-Y. Chen, P. T. K. Loan, C.-L. Hsu, Y.-H. Lee, J. Tse-Wei Wang, K.-H. Wei, C.-T. Lin, and L.-J. Li, “Label-free detection of DNA hybridization using transistors based on CVD grown graphene,” Biosens. Bioelectron. 41, 103–109 (2013). [CrossRef] [PubMed]

30.

H. A. Bethe, “Theory of diffraction by small holes,” Phys. Rev. 66(7-8), 163–182 (1944). [CrossRef]

31.

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82(1), 729–787 (2010). [CrossRef]

32.

A. Roberts, “Electromagnetic theory of diffraction by a circular aperture in a thick, perfectly conducting screen,” J. Opt. Soc. Am. A 4(10), 1970–1983 (1987). [CrossRef]

33.

D. E. Smith, T. T. Perkins, and S. Chu, “Dynamical scaling of DNA diffusion coefficients,” Macromolecules 29(4), 1372–1373 (1996). [CrossRef]

34.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (John Wiley & Sons 1998), p. 132.

35.

H. Yamakawa, Helical Wormlike Chains in Polymer Solutions (Springer-Verlag GmbH, 1997), p. 418.

OCIS Codes
(140.7010) Lasers and laser optics : Laser trapping
(240.6680) Optics at surfaces : Surface plasmons
(240.3695) Optics at surfaces : Linear and nonlinear light scattering from surfaces
(350.4855) Other areas of optics : Optical tweezers or optical manipulation
(250.5403) Optoelectronics : Plasmonics
(310.6628) Thin films : Subwavelength structures, nanostructures

ToC Category:
Optical Traps, Manipulation, and Tracking

History
Original Manuscript: February 25, 2014
Revised Manuscript: May 19, 2014
Manuscript Accepted: June 16, 2014
Published: July 3, 2014

Citation
Jung-Dae Kim and Yong-Gu Lee, "Trapping of a single DNA molecule using nanoplasmonic structures for biosensor applications," Biomed. Opt. Express 5, 2471-2480 (2014)
http://www.opticsinfobase.org/boe/abstract.cfm?URI=boe-5-8-2471


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References

  1. 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(5), 288–290 (1986). [CrossRef] [PubMed]
  2. A. Ashkin, “Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime,” Biophys. J.61(2), 569–582 (1992). [CrossRef] [PubMed]
  3. K. Svoboda and S. M. Block, “Optical trapping of metallic Rayleigh particles,” Opt. Lett.19(13), 930–932 (1994). [CrossRef] [PubMed]
  4. L. Huang and O. J. F. Martin, “Reversal of the optical force in a plasmonic trap,” Opt. Lett.33(24), 3001–3003 (2008). [CrossRef] [PubMed]
  5. M. Nieto-Vesperinas, P. C. Chaumet, and A. Rahmani, “Near-field photonic forces,” Philos. Trans. A Math Phys. Eng. Sci.362(1817), 719–737 (2004). [CrossRef] [PubMed]
  6. K. Okamoto and S. Kawata, “Radiation force exerted on subwavelength particles near a nanoaperture,” Phys. Rev. Lett.83(22), 4534–4537 (1999). [CrossRef]
  7. R. H. Ritchie, “Plasma losses by fast electrons in thin films,” Phys. Rev.106(5), 874–881 (1957). [CrossRef]
  8. W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature424(6950), 824–830 (2003). [CrossRef] [PubMed]
  9. F. J. Garcia de Abajo, “Light transmission through a single cylindrical hole in a metallic film,” Opt. Express10(25), 1475–1484 (2002). [CrossRef] [PubMed]
  10. F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett.95(10), 103901 (2005). [CrossRef] [PubMed]
  11. T. Ishi, J. Fujikata, K. Makita, T. Baba, and K. Ohashi, “Si nano-photodiode with a surface plasmon antenna,” Jpn. J. Appl. Phys.44(12), L364–L366 (2005). [CrossRef]
  12. M. L. Juan, R. Gordon, Y. Pang, F. Eftekhari, and R. Quidant, “Self-induced back-action optical trapping of dielectric nanoparticles,” Nat. Phys.5(12), 915–919 (2009). [CrossRef]
  13. Y. Pang and R. Gordon, “Optical trapping of 12 nm dielectric spheres using double-nanoholes in a gold film,” Nano Lett.11(9), 3763–3767 (2011). [CrossRef] [PubMed]
  14. A. Zehtabi-Oskuie, H. Jiang, B. R. Cyr, D. W. Rennehan, A. A. Al-Balushi, and R. Gordon, “Double nanohole optical trapping: dynamics and protein-antibody co-trapping,” Lab Chip13(13), 2563–2568 (2013). [CrossRef] [PubMed]
  15. Y. Pang and R. Gordon, “Optical trapping of a single protein,” Nano Lett.12(1), 402–406 (2012). [CrossRef] [PubMed]
  16. A. Kotnala, D. DePaoli, and R. Gordon, “Sensing nanoparticles using a double nanohole optical trap,” Lab Chip13(20), 4142–4146 (2013). [CrossRef] [PubMed]
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