Asymmetric Mach-Zehnder filter based on self-collimation phenomenon in two-dimensional photonic crystals

In this paper, the 1×5 optical splitters (OSs) based on 2D rod-type silicon photonic crystal embed cascaded self-collimation (SC) ring resonators (CSCRR) was proposed. The 1×5 OSs consist of eight beam splitters, which are formed by varying the radii of the rod. With self-collimation effect, we can manipulate the light's propagation in the OSs.Here we consider TM modes. Utilizing multiple-beam interference theory, the theoretical transmission spectra at different outputs were analysed. These transmission spectra can help us to set the radii of eight slitters properly, for we can control the light coming out from five ports with the light-intensity ratio we need. Meanwhile these outputs' transmission spectra were investigated by the finite-difference time-domain (FDTD) method. The simulative results have an agreement with the theoretical prediction. The 1×5 OSs will have practical applications in photonic integrated circuits.

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“…The equations for the transmission spectra at the through and drop ports can be expressed as [12,13] (1 ) (1 ) (1 ) …”

Section: The Theory and Performance Of 1×5 Optical Splittersmentioning

confidence: 99%

Photonic drop splitters based on silicon photonic crystal cascaded self-collimation ring resonators

et al. 2014

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“…Especially, a light beam of frequency f 0.194c∕a can propagate along ΓM-direction with almost no beam spreading because the EFC is nearly flat. This interesting self-collimation phenomenon has inspired great interest in recent years due to its potential applications in implementing photonic integrated circuits [1][2][3][4][13][14][15][16].…”

Section: Efcs and Self-collimation Effectmentioning

confidence: 99%

“…Selfcollimated beams can be well guided in a PC without the use of any physical boundary and crossed without cross talk. Moreover, efficient methods to bend, split, filter, and slow down self-collimated beams have been proposed based on defect layers [13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Grating-induced omnidirectional refraction of self-collimated beams at a photonic crystal surface

Lee

Kee

2013

Appl. Opt.

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We report that self-collimated beams from a photonic crystal can be refracted to any direction in air by introducing an additional layer composed of dielectric rods at a photonic crystal surface. The refraction angle can be tuned from negative to positive value by adjusting the period of the additional layer. The refracted beam power can be also controllable by varying the radii of rods in the layer and the distance between the layer and the surface. The grating-induced omnidirectional refraction of self-collimated beams could provide an efficient way to manipulate light propagation and increase the possibility of application of self-collimated beams.

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“…The PC structures with large photonic bandgaps are promising candidates for designing waveguides [3,4] and laser cavities [5]. Beside of this valuable aspect of the PCs, engineering photonic bands in their allowed part has given rise to a number of important optical phenomena such as negative refraction [6], super-prism effect [7,8] and self-collimation [9,10].…”

Section: Introductionmentioning

confidence: 99%

Comprehensive analysis of two different graded-index photonic-crystal lenses

Gharaati¹,

Miri²

2017

Ukr. J. Phys. Opt.

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Abstract:We investigate two alternative approaches for implementing graded-index (GRIN) photonic-crystal (PC) structures that reveal a focusing effect. Gradient of the refractive index is achieved either using a symmetry-reduction approach (a structure of type I) or varying a filling fraction of PC elements (a structure of type II). We test the first structure for the frequencies located inside the first and second bands of the dispersion diagram. The focusing effect of the first structure characteristic for the frequencies located above the bandgap is stronger than that for the frequencies below the bandgap. It is demonstrated that variations of filling fractions of the elliptical air holes in the structure of type II produce a GRIN lens that manifests a pronounced focusing effect. We have also compared the focusing effects of the latter structure for the TE and TM polarizations. The both structures suggested in the present work can work in a broad enough band region.

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Asymmetric Mach-Zehnder filter based on self-collimation phenomenon in two-dimensional photonic crystals

Cited by 48 publications

References 18 publications

Photonic drop splitters based on silicon photonic crystal cascaded self-collimation ring resonators

Photonic drop splitters based on silicon photonic crystal cascaded self-collimation ring resonators

Grating-induced omnidirectional refraction of self-collimated beams at a photonic crystal surface

Comprehensive analysis of two different graded-index photonic-crystal lenses

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