Mode solvers for very thin long-range plasmonic waveguides

Optical and Quantum Electronics

Volumn 42, Issue 8, 2011, Pages 557-570

  Des Francs, Gérard Colas ^a   Hugonin, Jean Paul ^b   Čtyroký, Jiřǐ ^c  

^a LABORATOIRE INTERDISCIPLINAIRE CARNOT DE BOURGOGNE   (France)

^b UNIV PARIS SUD   (France)

^c INSTITUTE OF PHOTONICS AND ELECTRONICS   (Czech Republic)

Author keywords

Density of guided modes; Fourier modal method; Green's dyad technique; Long range surface plasmon polariton; Optical mode solver

Indexed keywords

FOURIER MODAL METHOD; GREEN'S DYAD TECHNIQUE; GUIDED MODES; LONG-RANGE SURFACE PLASMONS; OPTICAL MODE SOLVERS;

ELECTROMAGNETIC WAVE POLARIZATION; GUIDED ELECTROMAGNETIC WAVE PROPAGATION; LASER RESONATORS; MODAL ANALYSIS; OPTICAL WAVEGUIDES; SURFACE PLASMON RESONANCE; WAVEGUIDES;

PLASMONS;

EID: 80052631631     PISSN: 03068919     EISSN: 1572817X     Source Type: Journal    
DOI: 10.1007/s11082-010-9428-5     Document Type: Conference Paper

References (47)

1. Anemogiannis, E., Glytsis, E., Gaylord, T.: Determination of guided and leaky modes in lossless and lossy planar multilayer optical waveguides: Reflection polemethod and wavector density method. J. Lightwav. Technol. 17, 929-941 (1999)
2. Barnes,W.L., Dereux, A., Ebbesen, T.W.: Surface plasmon subwavelength optics.Nature 424, 824-830 (2003) (Pubitemid 37021717)
3. Berini, P.: Plasmon-polaritonwaves guided by thin lossy metal films of finite width:bound modes of symmetric structures. Phys. Rev. B 61, 10484 (2000)
4. Berini, P.: Long-range surface plasmon polaritons. Adv. Opt. Photonics 1, 484-588 (2009)
5. Berini, P., Buckley, R.: On the convergence and accuracy of numerical mode computations of surface plasmon waveguides. J. Comput. Theor. Nanosci. 6, 2040-2053 (2003)
6. Bienstman, P., Seller, S., Rosa, L., Uranus, H.P., Hopman, W.C.L., Costa, R., Melloni, A., Andreani, L.C., Hugonin, J.P., Lalanne, P., Pinto, D., Obaya, S.S.A., Dems, M., Panajotov, K.: Modelling leaky photonic wires: a mode solver comparison. Opt. Quantum Electron. 38, 731-759 (2006) (Pubitemid 46405407)
7. Chiang, K.S.: Review of numerical and approximate methods for the modal analysis of general optical dielectric waveguides. Opt. Quantum Electron. 26, S113-S134 (1994)
8. Colas des Francs, G., Grandidier, J., Massenot, S., Bouhelier, A., Weeber, J.C., Dereux, A.: Integrated plasmonic waveguides: amode solver based on density of states formulation. Phys. Rev. B 80, 115419 (2009)
9. Colas des Francs, G., Girard, C., Weeber, J.-C., Chicanne, C., David, T., Dereux, A., Peyrade, D.: Optical analogy to electronic quantum corrals. Phys. Rev. Lett. 86, 4950-4953 (2001) (Pubitemid 32505541)
10. Colas des Francs, G., Girard, C., Dereux, A.: Theory of near-field optical imaging with a single molecule as a light source. J. Chem. Phys. 117, 4659-4666 (2002)
11. Colas des Francs, G., Bramant, P., Grandidier, J., Bouhelier, A.,Weeber, J.-C., Dereux, A.: Optical gain, spontaneous and stimulated emission of surface plasmon-polaritons in confined plasmonic waveguide. Opt. Express 18, 16327-16334 (2010)
12. Ctyroky, J.: Improved bidirectional-mode expansion propagation algorithm based on fourier series. J. Lightwav. Technol. 25, 2321-2330 (2007) (Pubitemid 47407516)
13. Ctyroky, J.: Efficient boundary conditions for bidirectional propagation algorithm based on fourier series. J. Lightwav. Technol. 27, 2575-2582 (2009)
14. Dereux, A., Vigneron, J.P., Lambin, P., Lucas, A.: Polaritons in semiconductor multilayered materials. Phys. Rev. B 38, 5438-5452 (1988)
15. Dereux, A., Girard,C., Chicanne,C., Colas Francs,G., David, T.,Bourillot, E., Lacroute,Y.,Weeber, J.C.: Subwavelength mapping of surface photonic states. Nanotechnology 14, 935-938 (2003)
16. De Leon, I., Berini, P.: Theory of surface plasmon-polariton amplification in planar structures incorporating dipolar gain media. Phys. Rev. B 78, 161401 (2008)
17. De Leon, I., Berini, P.: Amplification of long-range surface plasmons by a dipolar gain medium. Nat. Photonics 4, 382-387 (2010)
18. Ebbesen, T.W., Genet, C., Bozhevolnyi, S.I.: Surface plasmon circuitry. Phys. Today 61, 44-50 (2008)
19. Gao, G., Torres-Verdín, C., Habashy, T.M.: Analytical techniques to evaluate the integrals of 3d and 2d spatial dyadic green's functions. Prog. Electromagnet. Res. 52, 47-80 (2005)
20. Hugonin, J.P., Lalanne, P., del Villar, I., Matias, I.R.: Fourier modal methods for modeling optical dielectric waveguides. Opt. Quantum Electron. 37, 107-119 (2005) (Pubitemid 40902961)
21. Hugonin, J.P., Lalanne, P.: Perfectly-matched-layers as nonlinear coordinate transforms: a generalized formalization. J. Opt. Soc. Am. A. 22, 1844-1849 (2005) (Pubitemid 41372911)
22. Gather, M.C., Meerholz, K., Danz, N., Leosson, K.: Net optical gain in a plasmonic waveguide embedded in a fluorescent polymer. Nat. Photonics 4, 457-461 (2010)
23. Girard, C., Dereux, A., Quidant, R., Colas Francs, G., Weeber, J.-C.: Subwavelength optical devices for nanometer scale applications. Int. J. Nanosci. 1, 63-78 (2002)
24. Gramotnev, D.K., Bozhevolnyi, S.I.: Plasmonics beyond the diffraction limit. Nat. Photonics 4, 83-91 (2010)
25. Grandidier, J., Massenot, S., Colas Francs, G., Bouhelier, A., Weeber, J.-C., Markey, L., Dereux, A., Renger, J., González, M.U., Quidant, R.: Dielectric-loaded surface plasmon polariton waveguides: figures of merit and mode characterization by image and fourier plane leakage microscopy. Phys. Rev. B 78, 245419 (2008)
26. Grandidier, J., Colas Francs, G., Massenot, S., Bouhelier, A., Markey, L., Weeber, J.-C., Finot, C., Dereux, A.: Gain assisted propagation in a plasmonic waveguide at telecom wavelength. Nano Lett. 9, 2935-2939 (2009)
27. Grandidier, J., Colas Francs, G., Markey, L., Bouhelier, A., Massenot, S., Weeber, J.-C., Dereux, A.: Dielectric-loaded surface plasmon polariton waveguides on a finite-width metal strip. Appl. Phys. Lett. 96, 063105 (2010)
28. Kim, J.T., Ju, J.J., Park, S., Su Kim, M., Park, S.K., Lee, M.-H.: Chip-to-chip optical interconnect using gold long-range surface plasmon polariton waveguides. Opt. Express 16, 13133-13138 (2008)
29. Ladouceur, F.: Boundaryless beam propagation. Opt. Lett. 21, 4-5 (1996) (Pubitemid 126536914)
30. Lagendijk, A., Tiggelen, B.: Resonant multiple scattering of light. Phys. Rep. 270, 143-215 (1996) (Pubitemid 126169145)
31. Lalanne, P., Jurek, M.P.: Computation of the near-field pattern with the coupled-wave method for tm polarization. J. Mod. Opt. 45, 1357-1374 (1998) (Pubitemid 128591904)
32. Lévêque, G., Colas Francs, G., Girard, C., Weeber, J.-C., Meier, C., Robilliard, C., Mathevet, R., Weiner, J.: Polarization state of the optical near-field. Phys. Rev. E 65, 36701 (2002)
33. Lévêque, G., Mathevet, R., Weiner, J., Colas Francs, G., Girard, C., Quidant, R., Weeber, J.-C., Dereux, A.: Modelling resonant coupling between microring resonators addressed by optical evanescent waves. Nanotechnology 15, 1200-1210 (2004)
34. Martin, O.J.F., Dereux, A., Girard, Ch.: An iterative scheme to compute exactly the total field propagating in dielectric structures of arbitrary shapes. J. Opt. Soc. A. A 11, 1073-1080 (1994)
35. Massenot, S., Grandidier, J., Bouhelier, A., Colas Francs, G.,Weeber, J.-C., Markey, L., Dereux, A., Renger, J., Gonzalez, M.U., Quidant, R.: Polymer-metal waveguides characterization by fourier plane leakage radiation microscopy. Appl. Phys. Lett. 91, 243101 (2007)
36. Massenot, S., Weeber, J.-C., Bouhelier, A., Colas Francs, G., Grandidier, J., Markey, L., Dereux, A.: Differential method for modelling dielectric-loaded surface plasmon polariton waveguides. Opt. Express 16, 17599-17608 (2008)
37. Moharam, M.G., Grann, E.B., Pommet, D.A., Gaylord, T.K.: J. Opt. Soc. Am. A 12, 1068 (1995)
38. Oulton, R., Sorger, V., Zentgraf, T., Ma, R.M., Gladden, C., Dai, L., Bartal, G., Zhang, X.: Plasmon lasers at deep subwavelength scale. Nature 461, 629-632 (2009)
39. Palik, E.: Handbook of Optical Constants of Solids. Academic Press - Elsevier, London, Amsterdam (1998)
40. Paulus, M., Gay-Balmaz, P., Martin, O.J.F.: Green's tensor technique for scattering in two-dimensional stratified media. Phys. Rev. E 63, 66615 (2001)
41. Quidant, R., Weeber, J.-C., Dereux, A., Peyrade, D., Colas Francs, G., Girard, C., Chen, Y.: Addressing and imaging high optical index dielectric ridges in the optical near field. Phys. Rev. E 64, 66607 (2001)
42. Raether, H.: Excitation of Plasmons and Interband Transitions by Electrons. Springer, Berlin (1980)
43. Snyder, A.W., Love, J.D.: Optical Waveguide Theory. Chapman and Hall, London (1996)
44. Thylen, L., He, S.,Wosynki, L.L., Dai, D.: The moore's law for photonic integrated circuits. J. Zhejiang Univ. Sci. A 7, 1961-1967 (2006) (Pubitemid 46022159)
45. Weeber, J.C., Dereux, Y., Lacroute, A.: Optical near-field distributions of surface plasmon waveguide modes. Phys. Rev. B 68, 115401 (2003)
46. Yaghjian, A.D.: Electric dyadic green's functions in the source region. Proc. IEEE 68, 248-263 (1980)
47. Zayats, A.V., Smolyaninov, I.I., Maradudin, A.A.: Nano-optics of surface plasmon polaritons. Phys. Rep. 408, 131-314 (2005) (Pubitemid 40354880)