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Enhanced Transmission through Periodic Arrays of Subwavelength Holes: The Role of Localized Waveguide Resonances
KTH, School of Information and Communication Technology (ICT), Microelectronics and Applied Physics, MAP.
KTH, School of Information and Communication Technology (ICT), Centres, Zhejiang-KTH Joint Research Center of Photonics, JORCEP.
2006 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 96, no 23, 233901- p.Article in journal (Refereed) Published
Abstract [en]

By using the rigid full-vectorial three-dimensional finite-difference time-domain method, we show that the enhanced transmission through a metallic film with a periodic array of subwavelength holes results from two different resonances: (i) localized waveguide resonances where each air hole can be considered as a section of metallic waveguide with both ends open to free space, forming a low-quality-factor resonator, and (ii) well-recognized surface plasmon resonances due to the periodicity. These two different resonances can be characterized from electromagnetic band structures in the structured metal film. In addition, we show that the shape effect in the enhanced transmission through the Au film with subwavelength holes is attributed to the localized waveguide resonance.

Place, publisher, year, edition, pages
2006. Vol. 96, no 23, 233901- p.
Keyword [en]
Finite difference method; Metallic films; Resonance; Time domain analysis; Wave transmission; Waveguide components; Electromagnetic band structures; Low-quality-factor; Subwavelength holes; Waveguide resonances; Waveguides
National Category
Telecommunications
Identifiers
URN: urn:nbn:se:kth:diva-7663DOI: 10.1103/PhysRevLett.96.233901ISI: 000238315600026Scopus ID: 2-s2.0-33745048690OAI: oai:DiVA.org:kth-7663DiVA: diva2:12759
Note
QC 20100817Available from: 2007-11-20 Created: 2007-11-20 Last updated: 2017-12-14Bibliographically approved
In thesis
1. Dispersion Engineering: Negative Refraction and Designed Surface Plasmons in Periodic Structures
Open this publication in new window or tab >>Dispersion Engineering: Negative Refraction and Designed Surface Plasmons in Periodic Structures
2007 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

The dispersion property of periodic structures is a hot research topic in the last decade. By exploiting dispersion properties, one can manipulate the propagation of electromagnetic waves, and produce effects that do not exist in conventional materials. This thesis is devoted to two important dispersion effects: negative refraction and designed surface plasmons.

First, we introduce negative refraction and designed surface plasmons, including a historical perspective, main areas for applications and current trends.

Several numerical methods are implemented to analyze electromagnetic effects. We apply the layer-KKR method to calculate the electromagnetic wave through a slab of photonic crystals. By implementing the refraction matrix for semi-infinite photonic crystals, the layer-KKR method is modified to compute the coupling coefficient between plane waves and Bloch modes in photonic crystals. The plane wave method is applied to obtain the band structure and the equal-frequency contours in two-dimensional regular photonic crystals. The finite-difference time-domain method is widely used in our works, but we briefly discuss two calculation recipes in this thesis: how to deal with the surface termination of a perfect conductor and how to calculate the frequency response of high-Q cavities more efficiently using the Pad\`{e} approximation method.

We discuss a photonic crystal that exhibits negative refraction characterized by an effective negative index, and systematically analyze the coupling coefficients between plane waves in air and Bloch waves in the photonic crystal. We find and explain that the coupling coefficients are strong-angularly dependent. We first propose an open-cavity structure formed by a negative-refraction photonic crystal. To illuminate the physical mechanism of the subwavelength imaging, we analyze both intensity and phase spectrum of the transmission through a slab of photonic crystals with all-angle negative refraction. It is shown that the focusing properties of the photonic crystal slab are mainly due to the negative refraction effect, rather than the self-collimation effect.

As to designed surface plasmons, we design a structured perfectly conducting surface to achieve the negative refraction of surface waves. By the average field method, we obtain the effective permittivity and permeability of a perfectly conducting surface drilled with one-dimensional periodic rectangle holes, and propose this structure as a designed surface plasmon waveguide. By the analogy between designed surface plasmons and surface plasmon polaritons, we show that two different resonances contribute to the enhanced transmission through a metallic film with an array of subwavelength holes, and explain that the shape effect is attributed to localized waveguide resonances.

Place, publisher, year, edition, pages
Stockholm: KTH, 2007. xi, 74 p.
Series
Trita-ICT/MAP, 2007:11
Keyword
photonic crystal, dispersion property, negative refraction, surface plasmon polariton, designed surface plasmon, negative index material, layer-KKR method, finite-difference time-domain method, plane wave method, subwavelength imaging, open cavity, enhanced transmission, slowing light
National Category
Telecommunications
Identifiers
urn:nbn:se:kth:diva-4542 (URN)
Public defence
2007-12-07, sal D, Forum, Isafjordsgatan 39, Kista, Stockholm, 10:00
Opponent
Supervisors
Note
QC 20100817Available from: 2007-11-20 Created: 2007-11-20 Last updated: 2012-03-21Bibliographically approved

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