Abstract

We analyze an important aspect of the behavior of surface plasmon polariton (SPP) Bragg mirrors: the dependence of the angular acceptance for reflection on the incidence angle. By means of leakage radiation microscopy, both in direct and Fourier space, we observe that the angular acceptance diminishes for increasing incidence angles. This effect, which can considerably affect the design of devices based on these elements, is shown to be the consequence of the decrease of the bandgap width with increasing incidence angle.

© 2007 Optical Society of America

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References

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2007 (3)

V. S. Volkov, S. I. Bozhevolnyi, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, Nano. Lett. 7, 880 (2007).
[CrossRef] [PubMed]

F. López-Tejeira, S. G. Rodrigo, L. Martín-Moreno, F. J. García-Vidal, E. Devaux, T. W. Ebbesen, J. R. Krenn, I. P. Radko, S. I. Bozhevolnyi, M. U. González, J. C. Weeber, and A. Dereux, Nat. Phys. 3, 324 (2007).
[CrossRef]

A. Yu. Nikitin and L. Martín-Moreno, Phys. Rev. B 75, 081405(R) (2007).
[CrossRef]

2006 (6)

J.-C. Weeber, A.-L. Baudrion, A. Bouhelier, A. Bruyant, G. C. des Francs, R. Zia, and A. Dereux, Appl. Phys. Lett. 89, 211109 (2006).
[CrossRef]

M. U. González, J.-C. Weeber, A.-L. Baudrion, A. Dereux, A. L. Stepanov, J. R. Krenn, E. Devaux, and T. W. Ebbesen, Phys. Rev. B 73, 155416 (2006).
[CrossRef]

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, N. Galler, F. R. Aussenegg, A. Leitner, and J. R. Krenn, Appl. Phys. Lett. 89, 091117 (2006).
[CrossRef]

E. Ozbay, Science 311, 189 (2006).
[CrossRef] [PubMed]

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, and T. W. Ebbesen, Nature 440, 508 (2006).
[CrossRef] [PubMed]

J. A. Dionne, H. J. Lezec, and H. A. Atwater, Nano. Lett. 6, 1928 (2006).
[CrossRef] [PubMed]

2005 (3)

2002 (1)

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, Appl. Phys. Lett. 81, 1762 (2002).
[CrossRef]

1996 (1)

Appl. Phys. Lett. (4)

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, Appl. Phys. Lett. 81, 1762 (2002).
[CrossRef]

J.-C. Weeber, M. U. González, A.-L. Baudrion, and A. Dereux, Appl. Phys. Lett. 87, 221101 (2005).
[CrossRef]

J.-C. Weeber, A.-L. Baudrion, A. Bouhelier, A. Bruyant, G. C. des Francs, R. Zia, and A. Dereux, Appl. Phys. Lett. 89, 211109 (2006).
[CrossRef]

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, N. Galler, F. R. Aussenegg, A. Leitner, and J. R. Krenn, Appl. Phys. Lett. 89, 091117 (2006).
[CrossRef]

J. Opt. Soc. Am. A (1)

Nano. Lett. (2)

J. A. Dionne, H. J. Lezec, and H. A. Atwater, Nano. Lett. 6, 1928 (2006).
[CrossRef] [PubMed]

V. S. Volkov, S. I. Bozhevolnyi, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, Nano. Lett. 7, 880 (2007).
[CrossRef] [PubMed]

Nat. Phys. (1)

F. López-Tejeira, S. G. Rodrigo, L. Martín-Moreno, F. J. García-Vidal, E. Devaux, T. W. Ebbesen, J. R. Krenn, I. P. Radko, S. I. Bozhevolnyi, M. U. González, J. C. Weeber, and A. Dereux, Nat. Phys. 3, 324 (2007).
[CrossRef]

Nature (1)

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Y. Laluet, and T. W. Ebbesen, Nature 440, 508 (2006).
[CrossRef] [PubMed]

Opt. Express (2)

Phys. Rev. B (2)

A. Yu. Nikitin and L. Martín-Moreno, Phys. Rev. B 75, 081405(R) (2007).
[CrossRef]

M. U. González, J.-C. Weeber, A.-L. Baudrion, A. Dereux, A. L. Stepanov, J. R. Krenn, E. Devaux, and T. W. Ebbesen, Phys. Rev. B 73, 155416 (2006).
[CrossRef]

Science (1)

E. Ozbay, Science 311, 189 (2006).
[CrossRef] [PubMed]

Other (1)

M. Nevière and E. Popov, Light Propagation in Periodic Media: Differential Theory and Design (Basel, 2003).

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Figures (3)

Fig. 1
Fig. 1

(a) SEM image of one fabricated SPP Bragg mirror ( α inc = 30 ° here). The wave vectors ( k S P ) of the incident (inc), reflected (r), transmitted (t) and free propagating (no-int) surface plasmons are sketched in the figure. (b) Leakage radiation images of SPPs impinging on mirrors at α inc = 0 ° , 30°, 45°, and 60°. (c) Intensity cross-cuts along the lines as indicated in the inset (Bragg mirror at 30°). The dashed (blue) line shows the angular spreading of the incident beam; the solid (red) line corresponds to the transmitted beam.

Fig. 2
Fig. 2

(a) Calculated dispersion relation for SPP propagating on a Au surface decorated with a Bragg grating. The solid line represents the light line. The dashed line delimits the first Brillouin zone. (b) Evolution of the bandgap width with α inc .

Fig. 3
Fig. 3

Experimental LR images, obtained at λ 0 = 800 nm , of the Fourier plane of SPP propagating on (a) homogeneous Au film, 60 nm thick; (b) Au film decorated with a grating ( d = 388 nm ) of Au lines, 60 nm high; (c) film with a grating of d = 557 nm . (d) Dark-field image of one grating. (e), (f) Calculated isofrequency ( λ 0 = 800 nm ) contour maps for a SPP propagating on a grating of d = 388 nm and d = 557 nm .

Tables (1)

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Table 1 Evolution with α inc of the Acceptance Angle for Reflection, Δ α ref (∘), for SPP Bragg Mirrors a

Equations (1)

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d = λ SPP 2 cos α inc .

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