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Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 26 — Dec. 21, 2009
  • pp: 23861–23866
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Effects of the surrounding medium on the optical properties of a subwavelength aperture

Olena Lopatiuk-Tirpak and Sasan Fathpour  »View Author Affiliations


Optics Express, Vol. 17, Issue 26, pp. 23861-23866 (2009)
http://dx.doi.org/10.1364/OE.17.023861


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Abstract

Influence of the refractive index of the surrounding material on the performance of a C-shaped subwavelength aperture is investigated. The changes in the spectral response (0.6 μm to 6 μm wavelength range) and power throughput of the aperture in an optically opaque silver (Ag) film are described for two configurations: one where the film with the aperture is immersed in an infinite dielectric slab and the other where the metallic layer is immediately adjacent to a semi-infinite dielectric substrate. It is shown that, while the resonant wavelengths increase monotonically with refractive index for both cases, the rates of these increases, as well as the behavior of the power throughput, depend not only on the configuration, but also strongly on the transmission mode. These findings have important implications for the design of subwavelength aperture-enhanced devices.

© 2009 OSA

1. Introduction

Subwavelength apertures have been the subject of many computational and experimental investigations ever since the demonstration of the extraordinary optical transmission [1

1. T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998). [CrossRef]

]. The ability to combine high irradiance with subwavelength spot size opens the door to many new applications, including high-speed, high-responsivity photodetectors [2

2. L. Tang, D. A. B. Miller, A. K. Okyay, J. A. Matteo, Y. Yuen, K. C. Saraswat, and L. Hesselink, “C-shaped nanoaperture-enhanced germanium photodetector,” Opt. Lett. 31(10), 1519–1521 (2006). [CrossRef] [PubMed]

,3

3. L. Tang, S. Latif, and D. A. B. Miller, “Plasmonic device in silicon CMOS,” Electron. Lett. 45(13), 706 (2009). [CrossRef]

], nanophotonic circuits [4

4. S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, and T. W. Ebbesen, “Channel plasmon-polariton guiding by subwavelength metal grooves,” Phys. Rev. Lett. 95(4), 046802 (2005). [CrossRef] [PubMed]

,5

5. E. C. Kinzel and X. F. Xu, “High efficiency excitation of plasmonic waveguides with vertically integrated resonant bowtie apertures,” Opt. Express 17(10), 8036–8045 (2009). [CrossRef] [PubMed]

], and chemical and biological sensors [6

6. R. Gordon, D. Sinton, K. L. Kavanagh, and A. G. Brolo, “A new generation of sensors based on extraordinary optical transmission,” Acc. Chem. Res. 41(8), 1049–1057 (2008). [CrossRef] [PubMed]

].

While several earlier works have addressed the role of the surrounding medium in subwavelength metal optics [7

7. A. Krishnan, T. Thio, T. J. Kima, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200(1-6), 1–7 (2001). [CrossRef]

9

9. M. H. Lee, H. W. Gao, and T. W. Odom, “Refractive index sensing using quasi one-dimensional nanoslit arrays,” Nano Lett. 9(7), 2584–2588 (2009). [CrossRef] [PubMed]

], most studies of subwavelength apertures are performed on free-standing metal films [10

10. H. Guo, T. P. Meyrath, T. Zentgraf, N. Liu, L. Fu, H. Schweizer, and H. Giessen, “Optical resonances of bowtie slot antennas and their geometry and material dependence,” Opt. Express 16(11), 7756–7766 (2008). [CrossRef] [PubMed]

12

12. X. L. Shi and L. Hesselink, “Mechanisms for enhancing power throughput from planar nano-apertures for near-field optical data storage,” Jpn. J. Appl. Phys. 41(Part 1, No. 3B), 1632–1635 (2002). [CrossRef]

] or films on a dielectric with a constant refractive index, n [13

13. Z. F. Yu, G. Veronis, S. H. Fan, and M. L. Brongersma, “Design of midinfrared photodetectors enhanced by surface plasmons on grating structures,” Appl. Phys. Lett. 89(15), 151116 (2006). [CrossRef]

]. This work will show that there are substantial qualitative and quantitative differences between these two cases, which ought to be accounted for in device design. A single C-shaped subwavelength aperture is chosen for this systematic study. The chief advantage of the C-shaped antenna over aperture arrays and corrugation-enhanced apertures is in its compact size [2

2. L. Tang, D. A. B. Miller, A. K. Okyay, J. A. Matteo, Y. Yuen, K. C. Saraswat, and L. Hesselink, “C-shaped nanoaperture-enhanced germanium photodetector,” Opt. Lett. 31(10), 1519–1521 (2006). [CrossRef] [PubMed]

], which renders it better suited for nanophotonic applications. Promising implementation of C-shaped antennas has been proposed and/or implemented for photodetectors [2

2. L. Tang, D. A. B. Miller, A. K. Okyay, J. A. Matteo, Y. Yuen, K. C. Saraswat, and L. Hesselink, “C-shaped nanoaperture-enhanced germanium photodetector,” Opt. Lett. 31(10), 1519–1521 (2006). [CrossRef] [PubMed]

,3

3. L. Tang, S. Latif, and D. A. B. Miller, “Plasmonic device in silicon CMOS,” Electron. Lett. 45(13), 706 (2009). [CrossRef]

], waveguides [14

14. P. Hansen, L. Hesselink, and B. Leen, “Design of a subwavelength bent C-aperture waveguide,” Opt. Lett. 32(12), 1737–1739 (2007). [CrossRef] [PubMed]

,15

15. L. Y. Sun and L. Hesselink, “Low-loss subwavelength metal C-aperture waveguide,” Opt. Lett. 31(24), 3606–3608 (2006). [CrossRef] [PubMed]

], surface-emitting lasers [16

16. Z. L. Rao, J. A. Matteo, L. Hesselink, and J. S. Harris, “High-intensity C-shaped nanoaperture vertical-cavity surface-emitting laser with controlled polarization,” Appl. Phys. Lett. 90(19), 191110 (2007). [CrossRef]

], and switchable transmission filters [17

17. J. W. Lee, M. A. Seo, D. S. Kim, J. H. Kang, and Q. H. Park, “Polarization dependent transmission through asymmetric C-shaped holes,” Appl. Phys. Lett. 94(8), 081102–081103 (2009). [CrossRef]

].

It is widely accepted that the resonant wavelength of a frequency-selective metallic surface structure embedded in an infinite dielectric medium scales linearly with the refractive index of the latter, n [18

18. B. A. Munk, Frequency selective surfaces: theory and design (John Wiley & Sons, New York, 2000).

]. Similarly, a (n2+1)/2 scaling [18

18. B. A. Munk, Frequency selective surfaces: theory and design (John Wiley & Sons, New York, 2000).

] is commonly argued to be applicable to metallic layers on a semi-infinite substrate. These approximations are often cited to predict the substrate effects on the optical properties [10

10. H. Guo, T. P. Meyrath, T. Zentgraf, N. Liu, L. Fu, H. Schweizer, and H. Giessen, “Optical resonances of bowtie slot antennas and their geometry and material dependence,” Opt. Express 16(11), 7756–7766 (2008). [CrossRef] [PubMed]

,19

19. H. Shin, P. B. Catrysse, and S. Fan, “Effect of the plasmonic dispersion relation on the transmission properties of subwavelength cylindrical holes,” Phys. Rev. B 72(8), 085436 (2005). [CrossRef]

]. However, results reported below show that while the scaling holds true for immersed apertures, the more realistic configuration, i.e., when the aperture is fabricated in a plasmonic metal (as opposed to perfect electric conductor) on a dielectric substrate, presents itself with many consequential, qualitative and quantitative differences. In this case, the extent and the manner in which resonant wavelengths and the power throughput vary with n depend on the specific transmission mechanism involved. Understanding these differences is critical for successful design and accurate performance predictions of aperture-enhanced plasmonic devices. To the best of the authors’ knowledge, this is the first systematic computational study of an aperture with plasmonic metals on dielectric substrates under the conditions of varying n of the surrounding medium.

2. Methodology

The dimensions of the aperture used in this work are shown in Fig. 1(a)
Fig. 1 (a) The schematic representation of the studied aperture, showing the location of the E-field probes used to evaluate the spectral response. The excitation radiation propagates in the –z direction; (b) Evolution of the E-field spectral response with increasing d, measured at point P1 in Fig. 1(a) and for the case of aperture on a dielectric substrate with n = 3.45. Inset: Spectral response as a function of thickness at point P2 in Fig. 1(a). The color scale of the inset is 10 times that of the main figure.
. The shape of the aperture was borrowed from our initial studies (not presented here) that aimed at maximizing the power throughput (PT) at near-IR wavelengths. To illuminate the nature of the transmission modes, the Ag layer thickness, d, was varied from 100 to 1000 nm. For varying refractive index studies, d was chosen to be 300 nm, for reasons that will be presented in context below. The calculations were performed using the finite-integration method within the CST Microwave Suite. Optical properties of the Ag were simulated by fitting the experimentally obtained dielectric constant values [20

20. M. A. Ordal, L. L. Long, R. J. Bell, S. E. Bell, R. R. Bell, R. W. Alexander Jr, and C. A. Ward, “Optical properties of the metals Al, Co, Cu, Au, Fe, Pb, Ni, Pd, Pt, Ag, Ti, and W in the infrared and far infrared,” Appl. Opt. 22(7), 1099–1119 (1983). [CrossRef] [PubMed]

] to the Drude model in the wavelength range of 0.6 μm to 6 μm. Silver was chosen over other commonly used metals, such as gold or aluminum, because of its low absorption losses (imaginary dielectric constant) in the studied spectral range. The material surrounding the aperture is modeled as a lossless dielectric. The excitation source was a plane wave with the amplitude of 1 V/m, polarized along the x-axis. Absorbing boundary conditions were set for all six boundaries.

In order to determine the spectral characteristics of the aperture response, the excitation was delivered as a pulse with the duration of ~5 femtoseconds, roughly covering the mentioned 0.6 μm to 6 μm wavelength range. The spectral response was assumed to be represented by the local electric field at the point P1 [Fig. 1(a)], located at the exit surface. This assumption was verified at several other points on the exit surface, where despite the relative intensity variations, the major spectral features were found to remain unchanged.

The fraction of energy transmitted by the aperture was quantified by calculating the PT [21

21. J. Matteo and L. Hesselink, “Fractal extensions of near-field aperture shapes for enhanced transmission and resolution,” Opt. Express 13(2), 636–647 (2005). [CrossRef] [PubMed]

] at a wavelength of interest. PT is defined as the ratio of total exit power surface to that impinging upon the physical area of the aperture and was calculated by integrating the normal component of the Poynting vector over the entire surface of the aperture in the plane immediately adjacent to the Ag layer. It should be clarified that because near-field radiation, in general, contains both propagating and evanescent components, the values of PT may change with distance from the exit surface. Therefore, PT should be viewed as a metric for comparison, rather than a quantitative measure of extraordinary transmittance.

3. Results and discussion

Before discussing the role of the surrounding material, it is helpful to examine the different transmission mechanisms of the C-shaped aperture. The origin of the transmittance peaks in the spectral response can be deduced by monitoring the shifts of the resonant wavelengths while changing the thickness of the metal layer. The evolution of the response with d is shown in Fig. 1(b) as an example of the aperture-on-substrate configuration, where the Ag film is immediately adjacent to a substrate with n = 3.45 (that of silicon), and the remainder of the space, including the aperture cavity, is set to n = 1. The response is measured at point P1 in Fig. 1(a), and the excitation impinges on the system from the vacuum side. In the studied wavelength range, the response shows the evolution of several peaks: one that undergoes a blue shift with increasing d (peak A), three that red-shift (peaks B, C, and E), and a faint thickness-invariant peak denoted as D.

Peak A is present even for infinitesimally thin metal layer (the thickness of one mesh cell, not shown) and is most likely caused by the interaction of two evanescent surface waves on either side of the aperture [7

7. A. Krishnan, T. Thio, T. J. Kima, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200(1-6), 1–7 (2001). [CrossRef]

]. In other words, the surface plasmons excited by the incident pulse on each metal-dielectric interface couple to each other inside the aperture cavity with a strength that is chiefly determined by how well-matched their frequencies are. As confirmed below, the transmittance through the aperture is highest when the refractive indices of the front and back materials are the same, as this allows for constructive interference of the evanescent waves inside the aperture. On the other hand, for the case presented in Fig. 1(b), where the index of the substrate differs substantially from that of the entrance surface, the plasmon frequencies differ significantly, resulting in weak coupling; this in turn causes the transmittance to decrease rapidly with increasing thickness. From here on, this mode will be referred to as the evanescently coupled surface plasmon (ECSP) mode.

Peaks B, C, and E correspond to the different orders of a Fabry-Perot-like (FP) aperture cavity mode, as suggested by their thickness dependence and by the electric field (E-field) profiles taken at the corresponding wavelengths (Fig. 2
Fig. 2 E-field distributions for d = 1000 nm at the wavelengths of the FP modes (random phase). The wavelengths are, from left to right: 1.51 μm, 1.16 μm, and 875 nm, corresponding to peaks B, C and E in Fig. 1(b), respectively. The x- and z-component are shown in the top and bottom panels, respectively. The plane shown corresponds to the x-z plane containing the point P1 of Fig. 1(a).
). The wavelength, λ, of the FP resonances is determined not only by the cavity thickness, but also by the phase change, ϕ, upon reflection from the front and back surfaces:λ=2d/(Nφ/π), where N is an integer. Therefore, the spectral position of the FP peaks can differ considerably from 2d/N [22

22. Y. Pang, C. Genet, and T. W. Ebbesen, “Optical transmission through subwavelength slit apertures in metallic films,” Opt. Commun. 280(1), 10–15 (2007). [CrossRef]

].

The peak D has a signature of a surface mode, as its spectral position is invariant with d for a constant n. Examination of the E-field distribution along the exit surface revealed that the excitation is highly localized at the corners of the “peninsula” of the C-shape aperture, with a spatial distribution resembling the corresponding Poynting vectors of Fig. 4(b)
Fig. 4 Spatial distribution of the normal component of the Poynting vector at the exit surface of the Ag film, at the wavelengths of (a) 1.14 μm for n = 2.5 and (b) 1.22 μm for n = 4. Negative sign corresponds to the Poynting vector component along the propagation direction of the exciting wave.
. It is interesting to note that whenever the wavelength of this mode is close to the FP modes, there occurs a spike in local E-field magnitude at point P2, as the inset of Fig. 1(b) demonstrates.

The study of the effect of n on the resonance wavelengths and PT of the aperture was started with the case where a 300-nm thick Ag film containing the aperture is immersed into an infinite slab of a dielectric material. The representative spectrum of the aperture response for n = 1 [top row in Fig. 3(c)
Fig. 3 The shifts of the resonance wavelengths with n in an immersed aperture (a) and the aperture on a substrate (b), at point P1 [cf. Figure 1(a)]. Solid and open symbols represent the data for the ECSP peak [A in Fig. 1(b)] and one of the FP resonances [B in Fig. 1(b)], respectively. The change in resonance wavelength predicted by the analytical model (see text) is shown by the dashed lines. Power throughput at the wavelengths corresponding to the two peaks in spectral response as a function of n is shown in the corresponding insets. (c) Evolution of the spectral E-field response with n for the aperture-on-substrate case. The arrow identifies the peak corresponding to the surface mode D. Note the different abscissa scales for different values of n.
] has an ECSP mode (peak A) at ~1.6 μm and the first FP mode (peak B) at 890 nm. There are significant differences between the transmission characteristics of the two peaks; the intent to highlight these differences motivates our choice of the Ag layer thickness (300 nm), whereas only 100 nm or so would be sufficient for optical opacity.

In the immersed aperture case, the positions of both peaks A and B scale linearly with n [Fig. 3(a)], matching the analytical expression for a perfect electric conductor [18

18. B. A. Munk, Frequency selective surfaces: theory and design (John Wiley & Sons, New York, 2000).

]. The PT follows a similar trend for both maxima, as shown in the inset of Fig. 3(a). The degree of the PT increase with n is noteworthy, particularly for the longer wavelength peak, where it shows a nearly four-fold increase as n goes from 1 to 4. It is noted that the data shown in Fig. 3(a) also suggest the increase of PT with resonant wavelength, similar to the findings of Ref. [11

11. X. L. Shi and L. Hesselink, “Design of a C aperture to achieve λ/10 resolution and resonant transmission,” J. Opt. Soc. Am. B 21(7), 1305–1317 (2004). [CrossRef]

], where the wavelength was varied by changing the C-aperture dimensions, while n was kept constant. In that case, the authors defined a “correlation length” that is of the order of the resonant wavelength, such that the photons within this length of the aperture are coupled and are transmitted together. Thus, the longer the wavelength, the greater the correlation length, and consequently, more photons are transmitted.

The PT reduction with increased degree of mode overlap is likely due to the change in the spatial distribution of the Poynting vector. This change is evident in Figs. 4(a) and 4(b), where the exit Poynting vector distributions for n = 2.5 and 4 are compared. The interaction of the surface and FP modes at n = 4 [Fig. 4(b)] alters the power flow through the aperture quite dramatically. As is evident from Fig. 4(b), the Poynting vector distribution at the wavelength of the FP mode acquires the symmetry characteristics of the surface mode D, with a large fraction of power being backscattered at the corners of the peninsula of the C-shape. As a result, while the power flow along the sidewall of the aperture is still increasing with n, the net power arriving at the exit surface is diminished. Similar mode interconversion was reported in Ref [22

22. Y. Pang, C. Genet, and T. W. Ebbesen, “Optical transmission through subwavelength slit apertures in metallic films,” Opt. Commun. 280(1), 10–15 (2007). [CrossRef]

]. and was also attributed to the coupling of the surface and FP modes.

4. Summary

It is shown that the optical properties of a plasmonic aperture are strongly affected by the surrounding medium. For both immersed and on-substrate configurations, the resonant wavelengths increase with n (although to a varying extent). The power throughput behavior is more complicated and is affected not only by the adjacent material, but also, for the aperture-on-substrate configuration, may increase or decrease with n, depending on the interplay of the transmission mechanisms. This work highlights the richness of the optical phenomena involved in subwavelength aperture transmission and demonstrates the importance of accounting for the effect of the surrounding medium when designing such plasmonic devices.

Acknowledgements

This work was partially supported by the NASA Florida Space Grant Consortium under award number: 16296041-Y5.

References and Links

1.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998). [CrossRef]

2.

L. Tang, D. A. B. Miller, A. K. Okyay, J. A. Matteo, Y. Yuen, K. C. Saraswat, and L. Hesselink, “C-shaped nanoaperture-enhanced germanium photodetector,” Opt. Lett. 31(10), 1519–1521 (2006). [CrossRef] [PubMed]

3.

L. Tang, S. Latif, and D. A. B. Miller, “Plasmonic device in silicon CMOS,” Electron. Lett. 45(13), 706 (2009). [CrossRef]

4.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, and T. W. Ebbesen, “Channel plasmon-polariton guiding by subwavelength metal grooves,” Phys. Rev. Lett. 95(4), 046802 (2005). [CrossRef] [PubMed]

5.

E. C. Kinzel and X. F. Xu, “High efficiency excitation of plasmonic waveguides with vertically integrated resonant bowtie apertures,” Opt. Express 17(10), 8036–8045 (2009). [CrossRef] [PubMed]

6.

R. Gordon, D. Sinton, K. L. Kavanagh, and A. G. Brolo, “A new generation of sensors based on extraordinary optical transmission,” Acc. Chem. Res. 41(8), 1049–1057 (2008). [CrossRef] [PubMed]

7.

A. Krishnan, T. Thio, T. J. Kima, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200(1-6), 1–7 (2001). [CrossRef]

8.

J. J. Mock, D. R. Smith, and S. Schultz, “Local refractive index dependence of plasmon resonance spectra from individual nanoparticles,” Nano Lett. 3(4), 485–491 (2003). [CrossRef]

9.

M. H. Lee, H. W. Gao, and T. W. Odom, “Refractive index sensing using quasi one-dimensional nanoslit arrays,” Nano Lett. 9(7), 2584–2588 (2009). [CrossRef] [PubMed]

10.

H. Guo, T. P. Meyrath, T. Zentgraf, N. Liu, L. Fu, H. Schweizer, and H. Giessen, “Optical resonances of bowtie slot antennas and their geometry and material dependence,” Opt. Express 16(11), 7756–7766 (2008). [CrossRef] [PubMed]

11.

X. L. Shi and L. Hesselink, “Design of a C aperture to achieve λ/10 resolution and resonant transmission,” J. Opt. Soc. Am. B 21(7), 1305–1317 (2004). [CrossRef]

12.

X. L. Shi and L. Hesselink, “Mechanisms for enhancing power throughput from planar nano-apertures for near-field optical data storage,” Jpn. J. Appl. Phys. 41(Part 1, No. 3B), 1632–1635 (2002). [CrossRef]

13.

Z. F. Yu, G. Veronis, S. H. Fan, and M. L. Brongersma, “Design of midinfrared photodetectors enhanced by surface plasmons on grating structures,” Appl. Phys. Lett. 89(15), 151116 (2006). [CrossRef]

14.

P. Hansen, L. Hesselink, and B. Leen, “Design of a subwavelength bent C-aperture waveguide,” Opt. Lett. 32(12), 1737–1739 (2007). [CrossRef] [PubMed]

15.

L. Y. Sun and L. Hesselink, “Low-loss subwavelength metal C-aperture waveguide,” Opt. Lett. 31(24), 3606–3608 (2006). [CrossRef] [PubMed]

16.

Z. L. Rao, J. A. Matteo, L. Hesselink, and J. S. Harris, “High-intensity C-shaped nanoaperture vertical-cavity surface-emitting laser with controlled polarization,” Appl. Phys. Lett. 90(19), 191110 (2007). [CrossRef]

17.

J. W. Lee, M. A. Seo, D. S. Kim, J. H. Kang, and Q. H. Park, “Polarization dependent transmission through asymmetric C-shaped holes,” Appl. Phys. Lett. 94(8), 081102–081103 (2009). [CrossRef]

18.

B. A. Munk, Frequency selective surfaces: theory and design (John Wiley & Sons, New York, 2000).

19.

H. Shin, P. B. Catrysse, and S. Fan, “Effect of the plasmonic dispersion relation on the transmission properties of subwavelength cylindrical holes,” Phys. Rev. B 72(8), 085436 (2005). [CrossRef]

20.

M. A. Ordal, L. L. Long, R. J. Bell, S. E. Bell, R. R. Bell, R. W. Alexander Jr, and C. A. Ward, “Optical properties of the metals Al, Co, Cu, Au, Fe, Pb, Ni, Pd, Pt, Ag, Ti, and W in the infrared and far infrared,” Appl. Opt. 22(7), 1099–1119 (1983). [CrossRef] [PubMed]

21.

J. Matteo and L. Hesselink, “Fractal extensions of near-field aperture shapes for enhanced transmission and resolution,” Opt. Express 13(2), 636–647 (2005). [CrossRef] [PubMed]

22.

Y. Pang, C. Genet, and T. W. Ebbesen, “Optical transmission through subwavelength slit apertures in metallic films,” Opt. Commun. 280(1), 10–15 (2007). [CrossRef]

OCIS Codes
(160.4760) Materials : Optical properties
(240.6680) Optics at surfaces : Surface plasmons
(260.3910) Physical optics : Metal optics
(250.5403) Optoelectronics : Plasmonics
(260.2710) Physical optics : Inhomogeneous optical media

ToC Category:
Diffraction and Gratings

History
Original Manuscript: November 17, 2009
Revised Manuscript: December 8, 2009
Manuscript Accepted: December 10, 2009
Published: December 14, 2009

Citation
Olena Lopatiuk-Tirpak and Sasan Fathpour, "Effects of the surrounding medium on the optical properties of a subwavelength aperture," Opt. Express 17, 23861-23866 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-26-23861


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References

  1. T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998). [CrossRef]
  2. L. Tang, D. A. B. Miller, A. K. Okyay, J. A. Matteo, Y. Yuen, K. C. Saraswat, and L. Hesselink, “C-shaped nanoaperture-enhanced germanium photodetector,” Opt. Lett. 31(10), 1519–1521 (2006). [CrossRef] [PubMed]
  3. L. Tang, S. Latif, and D. A. B. Miller, “Plasmonic device in silicon CMOS,” Electron. Lett. 45(13), 706 (2009). [CrossRef]
  4. S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, and T. W. Ebbesen, “Channel plasmon-polariton guiding by subwavelength metal grooves,” Phys. Rev. Lett. 95(4), 046802 (2005). [CrossRef] [PubMed]
  5. E. C. Kinzel and X. F. Xu, “High efficiency excitation of plasmonic waveguides with vertically integrated resonant bowtie apertures,” Opt. Express 17(10), 8036–8045 (2009). [CrossRef] [PubMed]
  6. R. Gordon, D. Sinton, K. L. Kavanagh, and A. G. Brolo, “A new generation of sensors based on extraordinary optical transmission,” Acc. Chem. Res. 41(8), 1049–1057 (2008). [CrossRef] [PubMed]
  7. A. Krishnan, T. Thio, T. J. Kima, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200(1-6), 1–7 (2001). [CrossRef]
  8. J. J. Mock, D. R. Smith, and S. Schultz, “Local refractive index dependence of plasmon resonance spectra from individual nanoparticles,” Nano Lett. 3(4), 485–491 (2003). [CrossRef]
  9. M. H. Lee, H. W. Gao, and T. W. Odom, “Refractive index sensing using quasi one-dimensional nanoslit arrays,” Nano Lett. 9(7), 2584–2588 (2009). [CrossRef] [PubMed]
  10. H. Guo, T. P. Meyrath, T. Zentgraf, N. Liu, L. Fu, H. Schweizer, and H. Giessen, “Optical resonances of bowtie slot antennas and their geometry and material dependence,” Opt. Express 16(11), 7756–7766 (2008). [CrossRef] [PubMed]
  11. X. L. Shi and L. Hesselink, “Design of a C aperture to achieve λ/10 resolution and resonant transmission,” J. Opt. Soc. Am. B 21(7), 1305–1317 (2004). [CrossRef]
  12. X. L. Shi and L. Hesselink, “Mechanisms for enhancing power throughput from planar nano-apertures for near-field optical data storage,” Jpn. J. Appl. Phys. 41(Part 1, No. 3B), 1632–1635 (2002). [CrossRef]
  13. Z. F. Yu, G. Veronis, S. H. Fan, and M. L. Brongersma, “Design of midinfrared photodetectors enhanced by surface plasmons on grating structures,” Appl. Phys. Lett. 89(15), 151116 (2006). [CrossRef]
  14. P. Hansen, L. Hesselink, and B. Leen, “Design of a subwavelength bent C-aperture waveguide,” Opt. Lett. 32(12), 1737–1739 (2007). [CrossRef] [PubMed]
  15. L. Y. Sun and L. Hesselink, “Low-loss subwavelength metal C-aperture waveguide,” Opt. Lett. 31(24), 3606–3608 (2006). [CrossRef] [PubMed]
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