Abstract
We present a quantitative experimental analysis of a surface plasmon polariton (SPP) interferometer relying on elliptical Bragg mirrors. By using a leakage radiation microscope, we observe oscillation fringes with unit visibility at the two interferometer exits. We study the properties of the SPP beam splitter and determine experimentally both the norm and phase of the SPP reflection and transmission coefficients.
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Notes
Each dipole generate at \(x,y\) a scalar field
$$\psi {\left( {x,y} \right)}\alpha \cos {\left( \Theta \right)}e^{{ik_{{{\text{SPP}}^{r} }} }} {e^{{{ - r} \mathord{\left/ {\vphantom {{ - r} {{\left( {2L_{{{\text{SPP}}}} } \right)}}}} \right. \kern-\nulldelimiterspace} {{\left( {2L_{{{\text{SPP}}}} } \right)}}}} } \mathord{\left/ {\vphantom {{e^{{{ - r} \mathord{\left/ {\vphantom {{ - r} {{\left( {2L_{{{\text{SPP}}}} } \right)}}}} \right. \kern-\nulldelimiterspace} {{\left( {2L_{{{\text{SPP}}}} } \right)}}}} } {{\sqrt r }}}} \right. \kern-\nulldelimiterspace} {{\sqrt r }}$$[2,4,11]. \(r=\sqrt{(x-x_{\textrm{s}})^{2}+(y-y_{\textrm{s}})^{2}}\) is the distance separating the source located at \(x_{\textrm{s}},y_{\textrm{s}}\) from the observation point, and \(\Theta\) is the angle between the dipole \(\mathbf{P}\) and the vector position \(\mathbf{r}\) going from the source to the observation point. The dipole is induced by the local electric field \(\mathbf{E}_{0}(x_{\textrm{s}},y_{\textrm{s}})\) and thus \(\mathbf{P}=\chi\mathbf{E}_{0}(x_{\textrm{s}},y_{\textrm{s}})\) where \(\chi\) is the dipole polarizability.
References
Raether H (1988) Surface plasmons. Springer, Berlin Heidelberg New York
Hecht B, Bielefeldt H, Novotny L, Inouye Y, Pohl DW (1996) Phys Rev Lett 77:1889
Bozhevolnyi SI, Pudonin FA (1997) Phys Rev Lett 78:2823
Ditlbacher H, Krenn JR, Felidj N, Lamprecht B, Schider G, Salemo M, Leitner A, Aussenegg FR (2002) Appl Phys Lett 80:404
Ditlbacher H, Krenn JR, Schider G, Leitner A, Aussenegg FR (2002) Appl Phys Lett 81:1762
Drezet A, Stepanov AL, Ditlbacher H, Hohenau A, Steinberger B, Aussenegg FR, Leitner A, Krenn JR (2005) Appl Phys Lett 86:074104
Bouhelier A, Huser Th, Tamaru H, Güntherodt H-J, Pohl DW, Baida FI, Van Labeke D (2001) Phys Rev B 63:155404
Stepanov A, Krenn JR, Ditlbacher H, Hohenau A, Drezet A, Steinberger B, Leitner A, Aussenegg F (2005) Opt Lett 30:1524
Zeilinger A (1981) Am J Phys 49:882 Holbrow CH, Galvez E, Parks ME (2002) Am J Phys 70:260 Holbrow CH, Galvez E, Parks ME (2002) Am J Phys 70:260
Ditlbacher H (2003) Phd Thesis, Karl-Franzens Universität Graz
Brun M, Drezet A, Mariette H, Chevalier N, Woehl JC, Huant S (2003) Europhys Lett 64:634
Born M, Wolf E (1999) Principles of optics. Cambridge Univ Press, Cambridge
Acknowledgements
For financial support, the Austrian Science Foundation and the European Union, under projects FP6 NMP4-CT-2003-505699 and FP6 2002-IST-1-507879, are acknowledged.
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Drezet, A., Hohenau, A., Stepanov, A.L. et al. Surface Plasmon Polariton Mach–Zehnder Interferometer and Oscillation Fringes. Plasmonics 1, 141–145 (2006). https://doi.org/10.1007/s11468-006-9016-5
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DOI: https://doi.org/10.1007/s11468-006-9016-5