Self-collimation and beam splitting in low-index photonic crystals

Matthews, Aaron; Morrison, Steven K.; Kivshar, Yuri S.

doi:10.1016/j.optcom.2007.07.053

Cited by 20 publications

(15 citation statements)

References 38 publications

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“…The FDTD method was then used to model the specific structures to be prepared for the experiment. This confirmed that the fabricated structures would demonstrate my previous predictions [11] within the experimental setup.…”

Section: Experimental Design and Setupsupporting

confidence: 89%

“…I have studied experimentally the beam self-collimation and splitting of selfcollimated beams in two-dimensional microwave PCs and confirmed our theoretical proposal for a PC beam splitter based on the self-collimation effect [11]. I investigated the specific properties of the self-collimation effect using microwave PCs fabricated from alumina rods, and demonstrated that the selfcollimation based beam splitter provides a large angular separation between the output beams using a small spatial footprint.…”

Section: Discussionsupporting

confidence: 56%

“…The main purpose of this paper is to study the self-collimation effect experimentally, employing a two-dimensional microwave PC fabricated from alumina rods, and to present an experimental proof of principle for the theoretical proposal of a PC beam splitter based on the self-collimation effect [11]. …”

Section: Introductionmentioning

confidence: 99%

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Experimental demonstration of self-collimation beaming and splitting in photonic crystals at microwave frequencies

Matthews

2009

Optics Communications

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Section: Experimental Design and Setupsupporting

confidence: 89%

Section: Discussionsupporting

confidence: 56%

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Experimental demonstration of self-collimation beaming and splitting in photonic crystals at microwave frequencies

Matthews

2009

Optics Communications

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“…Such a shift is an example of parameterization of the structure. One can further note that every single passband is defined by a single mode, so that a very large frequency band having monomodal characteristics can be efficiently exploited for dispersion engineering applications, e.g., self-collimation [12], super lens, super prisms [13], and propagation control [14].…”

Section: A 1-d Casementioning

confidence: 99%

Unit-Cell Geometry in Stripline Technology Featuring Sequential Band-Gaps Between Every Two Consecutive Modes

Sabata

Matekovits²

2012

Antennas Wirel. Propag. Lett.

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A novel geometry of unit cells relying on printed technology and featuring full dispersion diagram (DD) exhibiting an unusual large number of electromagnetic band-gaps (EBGs) is proposed. The printed patch consists of a filter-like geometry, meandered around the symmetry center of the unit cell and connected to the ground plane by three aligned vias, locally increasing the loading inductances; the multiple resonances shown by the structure determine the limits of the band-gaps. In particular, the DD of the unit cell presents an EBG between every two consecutive modes of propagation within the first eight modes in the case of one-directional propagation. The same phenomenon has been demonstrated for 2-D propagation, where four EBGs are proven to exist between the first five modes, in the case of arbitrarily directed propagation in the main plane of the structure. The 2-D scanning needed for building up the full DDs is realized by computer simulation with dedicated software. The small differences in band limits between the 1-D and 2-D cases reflect a small amount of anisotropy. The wide range of mono-modal behavior allows the structure to be used in applications requiring selective filtering, e.g., direct incorporation into antenna feeding systems, self-collimation, super lens, etc.

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“…4,5 Self-waveguiding crystals have been studied in several works both experimentally 6 and theoretically. [7][8][9] Here, we consider a PC configuration consisting of a two-dimensional square lattice of dielectric cylinders. Its waveguiding properties are based on the choice of a particular frequency at which the dispersion isofrequency line is squarelike.…”

mentioning

confidence: 99%

Experimental two-dimensional field mapping of total internal reflection lateral beam shift in a self-collimated photonic crystal

Garcia‐Pomar

Gollub

Mock

et al. 2009

Applied Physics Letters

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A lateral beam shift is demonstrated both theoretically and in microwave experiments when total internal reflection takes place at the boundary of a self-collimating two-dimensional photonic crystal consisting of an array of high index dielectric cylinders. We further show the dependence of this shift on the cut of the last row of cylinders that defines the crystal interface. © 2009 American Institute of Physics. ͓DOI: 10.1063/1.3085768͔It is well known that totally reflected beams at a dielectric-air surface suffer a lateral shift. This is the extensively studied Goos-Hänchen effect, 1 which is an inherent diffraction effect for an incident beam. The wave components that compose an incident Gaussian beam suffer a nonuniform phase shift upon reflection and contribute to a net offset of the beam. The energy flow between the incident and shifted reflected beams is mediated by evanescent waves on the transmission side ͑air͒ of the interface. A similar effect has been discussed in photonic crystals ͑PCs͒ when a Gaussian beam impinges from the air with a frequency in the bandgap. 2,3 In this paper we demonstrate another beam shifting phenomenon that arises in PCs when a guided beam, internal to the crystal, is reflected off a crystal/air interface. It has a certain analogy with the aforementioned Goos-Hänchen 1 shift, but as we shall see, it occurs at a unique angle of reflection. We remark that a closely related work has recently been reported. 4,5 Self-waveguiding crystals have been studied in several works both experimentally 6 and theoretically. 7-9 Here, we consider a PC configuration consisting of a two-dimensional square lattice of dielectric cylinders. Its waveguiding properties are based on the choice of a particular frequency at which the dispersion isofrequency line is squarelike. 8 This leads to a collimation effect in privileged directions that happen to be along ⌫M. This is due to the fact that modes inside the PC will propagate with a group velocity given by g = ٌ k ͑k͒, and consequently, the direction of propagation will be perpendicular to the flat portion of the isofrequency contour.We have built a 2D square PC lattice made of cylinders of flint glass ͑0080 Corning glass͒ with permittivity of ⑀ Ϸ 7 + 0.08i in the studied range of frequencies. The PC structure was formed by inserting the glass rods into a matrix of drilled holes in a block Styrofoam material. The refractive index n of Styrofoam is very approximately n = 1 at these frequencies. The crystal has a lattice constant a = 7.57 mm and the cylinder radius r is r = 0.35a = 2.65 mm. The crystal is illuminated at a frequency of = 11.76 GHz. The sample was introduced in a parallel-plate waveguide, which is comprised of two flat conducting ͑Al͒ plates spaced 11 mm apart. 10 Microwaves were introduced through an X-band ͑8 to 12 GHz͒ coax-to-waveguide adapter that was attached to the lower plate. A 1.5 cm wide guide was constructed out of 10 db/cm absorber along the path from the antenna to the sample to form the incident beam. The sample rested on...

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Self-collimation and beam splitting in low-index photonic crystals

Cited by 20 publications

References 38 publications

Experimental demonstration of self-collimation beaming and splitting in photonic crystals at microwave frequencies

Experimental demonstration of self-collimation beaming and splitting in photonic crystals at microwave frequencies

Unit-Cell Geometry in Stripline Technology Featuring Sequential Band-Gaps Between Every Two Consecutive Modes

Experimental two-dimensional field mapping of total internal reflection lateral beam shift in a self-collimated photonic crystal

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