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Focusing properties of a photonic crystal slab with negative refraction
KTH, School of Information and Communication Technology (ICT), Centres, Zhejiang-KTH Joint Research Center of Photonics, JORCEP. KTH, Superseded Departments, Alfvén Laboratory.ORCID iD: 0000-0002-3401-1125
KTH, School of Information and Communication Technology (ICT), Centres, Zhejiang-KTH Joint Research Center of Photonics, JORCEP.
KTH, School of Information and Communication Technology (ICT), Centres, Zhejiang-KTH Joint Research Center of Photonics, JORCEP.
KTH, School of Information and Communication Technology (ICT), Centres, Zhejiang-KTH Joint Research Center of Photonics, JORCEP.
2004 (English)In: Physical Review B Condensed Matter, ISSN 0163-1829, E-ISSN 1095-3795, Vol. 70, no 11, 115113- p.Article in journal (Refereed) Published
Abstract [en]

A layered Korringa-Kohn-Rostoker method is exploited to study the subwavelength imaging through a slab of rods-in-air photonic crystal. Both the intensity and phase spectra of transmission are investigated. The high transmission of evanescent waves arises due to the excitation of some slab-guided bound modes and the high coupling between the incident evanescent field and some bulk-guided Bloch modes. Through a study of the phase spectrum of transmission, it is shown that the self-collimation effect occurs at smaller incident angles whereas the negative refraction effect occurs at relatively larger incident angles. The existence of imaging aberrations is also explained with the phase spectrum. The focusing properties of the photonic crystal slab are mainly due to the negative-refraction effect for large incident angles, rather than the self-collimation effect.

Place, publisher, year, edition, pages
2004. Vol. 70, no 11, 115113- p.
Keyword [en]
article; collimator; crystal; mathematical analysis; mathematical model; photon; refraction index; technique
National Category
Telecommunications
Identifiers
URN: urn:nbn:se:kth:diva-7667DOI: 10.1103/PhysRevB.70.115113ISI: 000224209500033Scopus ID: 2-s2.0-19744382128OAI: oai:DiVA.org:kth-7667DiVA: diva2:12763
Note
QC 20100817 QC 20110923Available from: 2007-11-20 Created: 2007-11-20 Last updated: 2013-11-19Bibliographically 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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He, Sailing

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