Plasmonic Circuitry

Plasmonics is the study of plasmons, quasiparticles of plasma oscillation in solids such as metals, semi-metals, metal oxides, nitrides, doped semiconductors, etc. An effort is currently being made to implement plasmons in electric circuits, or in an electric circuit analog, to combine the size efficiency of electronics with the data capacity of photonic integrated circuits.[1] Plasmonics can be understood as "light-on-metal-dielectric-interfaces,"[2] where electrons oscillate at the surface of a metal due to strong resonant interactions with the electric field of incident light. Due to the high scattering rate of electrons, ohmic losses in plasmonic signals are generally large, which limits the signal transfer distances to the sub-centimeter range,[3] unless hybrid optoplasmonic light guiding networks,[4][5][6] or plasmon gain amplification[7] are used. Both surface plasmon polaritons propagating along the metal-dielectric interfaces and localized surface plasmon modes supported by metal nanoparticles are characterized by large momentum values, which enable strong resonant enhancement of the local density of photon states,[8] and can be utilized to enhance weak optical effects of opto-electronic devices.

## Contents

* 1 Current Issues
* 2 Waveguiding
* 3 Coupling
* 4 Active Devices
* 5 Passive Devices
* 6 References

## Current Issues

One of the biggest issues in making plasmonic circuits a feasible reality is the impractically short propagation length of surface plasmons. Typically, surface plasmons travel distances only on the scale of millimeters before damping diminishes the signal.[9] This is largely due to the unique dispersion relation of surface plasmons, which shows that as confinement increases, resistive damping increases; thus, propagation length decreases.[1] Researchers are attempting to reduce losses in surface plasmon propagation by examining a variety of materials and their respective properties.[10] New promising low-loss plasmonic materials include metal oxides and nitrides[11] as well as graphene.[12] Another foreseeable barrier plasmonic circuits will have to overcome is heat; heat in a plasmonic circuit may or may not exceed the heat generated by complex electronic circuits.[9] It has recently been proposed to reduce heating in plasmonic networks by designing them to support trapped optical vortices, which circulate light powerflow through the inter-particle gaps thus reducing absorption and Ohmic heating,[13][14][15] In addition to heat, it is also difficult to change the direction of a plasmonic signal in a circuit without significantly reducing its amplitude and propagation length.[1] One clever solution to the issue of bending the direction of propagation is the use of Bragg mirrors to angle the signal in a particular direction, or even to function as splitters of the signal.[16] Finally, emerging applications of plasmonics for thermal emission manipulation [17] and heat-assisted magnetic recording [18] leverage Ohmic losses in metals to obtain devices with new enhanced functionalities.

## Waveguiding

Optimal plasmonic waveguide designs strive to maximize both the confinement and propagation length of surface plasmons within a plasmonic circuit. Surface plasmon polaritons are characterized by a complex wave vector, with components parallel and perpendicular to the metal-dielectric interface. The imaginary part of the wave vector component is inversely proportional to the SPP propagation length, while its real part defines the SPP confinement.[19] The SPP dispersion characteristics depend on the dielectric constants of the materials comprising the waveguide. The propagation length and confinement of the surface plasmon polariton wave are inversely related. Therefore, stronger confinement of the mode typically results in shorter propagation lengths. The construction of a practical and usable surface plasmon circuit is heavily dependent on a compromise between propagation and confinement. Maximizing both confinement and propagation length helps mitigate the drawbacks of choosing propagation length over confinement and vice versa. Multiple types of waveguides have been created in pursuit of a plasmonic circuit with strong confinement and sufficient propagation length. Some of the most common types include insulator-metal-insulator (IMI),[20] metal-insulator-metal (MIM),[21] dielectric loaded surface plasmon polariton (DLSPP),[22][23] gap plasmon polariton (GPP),[24] channel plasmon polariton (CPP),[25] wedge surface plasmon polariton (wedge),[26] and hybrid opto-plasmonic waveguides and networks.[27][28] Dissipation losses accompanying SPP propagation in metals can be mitigated by gain amplification or by combining them into hybrid networks with photonic elements such as fibers and coupled-resonator waveguides.[27][28] This design can result in the previously mentioned hybrid plasmonic waveguide, which exhibits subwavelength mode on a scale of one-tenth of the diffraction limit of light, along with an acceptable propagation length.[29][30][31][32]

## Coupling

The input and output ports of a plasmonic circuit will receive and send optical signals, respectively. To do this, coupling and decoupling of the optical signal to the surface plasmon is necessary.[33] The dispersion relation for the surface plasmon lies entirely below the dispersion relation for light, which means that for coupling to occur additional momentum should be provided by the input coupler to achieve the momentum conservation between incoming light and surface plasmon polariton waves launched in the plasmonic circuit.[1] There are several solutions to this, including using dielectric prisms, gratings, or localized scattering elements on the surface of the metal to help induce coupling by matching the momenta of the incident light and the surface plasmons.[34] After a surface plasmon has been created and sent to a destination, it can then be converted into an electrical signal. This can be achieved by using a photodetector in the metal plane, or decoupling the surface plasmon into freely propagating light that can then be converted into an electrical signal.[1] Alternatively, the signal can be out-coupled into a propagating mode of an optical fiber or waveguide.

## Active Devices

The progress made in surface plasmons over the last 50 years has led to the development in various types of devices, both active and passive. A few of the most prominent areas of active devices are optical, thermo-optical, and electro-optical. All-optical devices have shown the capacity to become a viable source for information processing, communication, and data storage when used as a modulator. In one instance, the interaction of two light beams of different wavelengths was demonstrated by converting them into co-propagating surface plasmons via cadmium selenide quantum dots.[35] Electro-optical devices have combined aspects of both optical and electrical devices in the form of a modulator as well. Specifically, electro-optic modulators have been designed using evanescently coupled resonant metal gratings and nanowires that rely on long-range surface plasmons (LRSP).[36] Likewise, thermo-optic devices, which contain a dielectric material whose refractive index changes with variation in temperature, have also been used as interferometric modulators of SPP signals in addition to directional-coupler switches. Some thermo-optic devices have been shown to utilize LRSP waveguiding along gold stripes that are embedded in a polymer and heated by electrical signals as a means for modulation and directional-coupler switches.[37] Another potential field lies in the use of spasers in areas such as nanoscale lithography, probing, and microscopy.[38]

## Passive Devices

Although active components play an important role in the use of plasmonic circuitry, passive circuits are just as integral and, surprisingly, not trivial to make. Many passive elements such as prisms, lenses, and beam splitters can be implemented in a plasmonic circuit, however fabrication at the nano scale has proven difficult and has adverse effects. Significant losses can occur due to decoupling in situations where a refractive element with a different refractive index is used. However, some steps have been taken to minimize losses and maximize compactness of the photonic components. One such step relies on the use of Bragg reflectors, or mirrors composed of a succession of planes to steer a surface plasmon beam. When optimized, Bragg reflectors can reflect nearly 100% of the incoming power.[1] Another method used to create compact photonic components relies on CPP waveguides as they have displayed strong confinement with acceptable losses less than 3 dB within telecommunication wavelengths.[39] Maximizing loss and compactness with regards to the use of passive devices, as well as active devices, creates more potential for the use of plasmonic circuits.

## References

1. ↑ 1.0 1.1 1.2 1.3 1.4 1.5 T. W. Ebbesen, C. Genet, S. I. Bozhevolnyi, "Surface-plasmon circuitry", Am. Inst. of Phys., 44 - 50, (2008)
2. ↑ S.A. Maier, Plasmonics, Fundamentals and Applications (Springer, New York, 2007).
3. ↑ W.L. Barnes 2006 J. Opt. A: Pure Appl. Opt. 8 S87
4. ↑ Boriskina, S.V. & B.M. Reinhard, Proc. Natl. Acad. Sci., 2011. 108(8): p. 3147-3151
5. ↑ W. Ahn, Y. Hong, S.V. Boriskina, and B.M. Reinhard, ACS Nano, 7(5) 4470-4478, 2013
6. ↑ M.A. Santiago-Cordoba, S.V. Boriskina, F. Vollmer, and M.C. Demirel, Appl. Phys. Lett., 99, 073701, 2011
7. ↑ Grandidier, J., et al. Nano Lett. 2009. 9(8): p. 2935-2939
8. ↑ S.V. Boriskina, H. Ghasemi, and G. Chen, Materials Today, vol. 16, pp. 379-390, 2013
9. ↑ 9.0 9.1 Brongersma, Mark. "Are Plasmonics Circuitry Wave of Future?" Stanford School of Engineering. N.p., n.d. Web. 26 Nov. 2014. <http://engineering.stanford.edu/research-profile/mark-brongersma-mse>.
10. ↑ Ozbay, E. "Plasmonics: Merging Photonics and Electronics at Nanoscale Dimensions." Science 311.5758 (2006): 189-93. Web.
11. ↑ Naik, G.V. et al, Opt. Mater. Express, 2011. 1(6): p. 1090-1099
12. ↑ Vakil, A. & Engheta, N. Science, 2011. 332(6035): pp. 1291-1294
13. ↑ S.V. Boriskina and B.M. Reinhard, Nanoscale, 4, 76-90, 2012
14. ↑ W. Ahn, S.V. Boriskina, Y. Hong, and B.M. Reinhard, Nano Lett., 12(1), 219–227, 2012
15. ↑ S.V. Boriskina "Plasmonics with a twist: taming optical tornadoes on the nanoscale," chapter 12 in: Plasmonics: Theory and applications (T.V. Shahbazyan and M.I. Stockman Eds.) Springer 2013
16. ↑ Veronis, Georgios, and Shanhui Fan. "Bends and Splitters in Metal-dielectric-metal Subwavelength Plasmonic Waveguides." Applied Physics Letters 87.13 (2005): 131102. Web.
17. ↑ S.V. Boriskina, J.K. Tong, Y. Huang, J. Zhou, V. Chiloyan, and G. Chen, Photonics, 2(2), 659-683, 2015
18. ↑ W. A. Challener, C. Peng, A. V. Itagi, D. Karns, W. Peng, Y. Peng, X. Yang, X. Zhu, N. J. Gokemeijer, Y.-T. Hsia, G. Ju, R. E. Rottmayer, M. A. Seigler, and E. C. Gage, Nat. Photonics 3, 220–224 (2009).
19. ↑ Sorger, Volker J., Rupert F. Oulton, Ren-Min Ma, and Xiang Zhang. "Toward Integrated Plasmonic Circuits." MRS Bulletin 37.08 (2012): 728-38. Web.
20. ↑ E. Verhagen , M. Spasenovic , A. Polman , L. Kuipers , Phys. Rev. Lett. 102 , 203904 ( 2009 ).
21. ↑ J.A. Dionne , H.J. Lezec , H.A. Atwater , Nano Lett. 6 ( 9 ), 1928 ( 2006 ).
22. ↑ B. Steinberger , A. Hohenau , H. Ditlbacher , A.L. Stepanov , A. Drezet ,F.R. Aussenegg , A. Leitner , J.R. Krenn , App. Phys Lett. 88 , 094104 ( 2006 ).
23. ↑ A.V. Krasavin , A.V. Zayats , Opt. Express 18 ( 11 ), 11791 ( 2010 )
24. ↑ K.-Y. Jung , F.L. Teixeira , R.M. Reano , IEEE Photonics Technol. Lett. 21 ( 10 ), 630 ( 2009 ).
25. ↑ S.I. Bozhevolnyi , V.S. Volkov , E. Devaux , J. Laluet , T.W. Ebbesen , Nature 440 , 508 ( 2006 ).
26. ↑ D.F.P. Pile , T. Ogawa , D.K. Gramotnev , T. Okamoto , M. Haraguchi , M. Fukui ,S. Matsuo , App. Phys. Lett. 87 , 061106 ( 2005 ).
27. ↑ 27.0 27.1 Proc. Natl. Acad. Sci., 2011. 108(8): p. 3147-3151
28. ↑ 28.0 28.1 ACS Nano, vol. 7, no. 5, pp. 4470-4478, 2013
29. ↑ M. Z. Alam, J. Meier, J. S. Aitchison, and M. Mojahedi, "Super mode propagation in low index medium", Paper ID: JThD112, CLEO/QELS 2007.
30. ↑ V.J.Sorger, Z. Ye , R.F. Oulton , G. Bartal , Y. Wang , X. Zhang , Nat. Commun. 2 , 331 ( 2011 ).
31. ↑ R.F. Oulton , V.J. Sorger , D.F.B. Pile , D. Genov , X. Zhang , Nat. Photonics 2 , 496 ( 2008 ).
32. ↑ M. Z. Alam, J. S. Aitchison, and M. Mojahedi, "A marriage of convenience: Hybridization of plasmonic and dielectric waveguide modes," Laser and Photonics Review 8, 394 (2014).
33. ↑ J. R. Krenn, J. C. Weeber, Philos. Trans. R. Soc. London Ser. A 362, 739 (2004).
34. ↑ González, M., J.-C. Weeber, A.-L. Baudrion, A. Dereux, A. Stepanov, J. Krenn, E. Devaux, and T. Ebbesen. "Design, Near-field Characterization, and Modeling of 45° Surface-plasmon Bragg Mirrors." Physical Review B 73.15 (2006): n. pag. Web.
35. ↑ D. Pacifici, H. J. Lezec, H. A. Atwater, Nat. Photonics 1, 402 (2007)
36. ↑ Z. Wu, R. L. Nelson, J. W. Haus, Q. Zhan, Optics Letters, 33 (60), 551 (2008)
37. ↑ T. Nikolajsen, K. Leosson, S. I. Bozhevolnyi, Appl. Phys. Lett. 85, 5833 (2004)
38. ↑ M.I. Stockman, Nature Photonics 2, 327 - 329 (2008) doi:10.1038/nphoton.2008.85
39. ↑ Volkov, Valentyn S., Sergey I. Bozhevolnyi, Eloïse Devaux, and Thomas W. Ebbesen. "Compact Gradual Bends for Channel Plasmon Polaritons." Optics Express 14.10 (2006): 4494. Web.

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