Bistability and gap soliton in one-dimensional photonic crystal containing single-negative materials

Wang, Shangming; Tang, Chaojun; Pan, Tao; Gao, Lei

doi:10.1016/j.physleta.2005.08.037

Cited by 24 publications

(17 citation statements)

References 13 publications

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“…It can be seen from Figure 2 that as d A /d B varies, a pair of tunneling modes appear in the forbidden gap of the 1D-PC (AB) 12 C(BA) 12 when d A /d B >1, and the tunneling modes are situated at the two sides of the center of the forbidden gap. It is different from conventional PCs, in which there is only one mode in the forbidden gap because of one defect in them [15] .…”

Section: Articlesmentioning

confidence: 99%

“…OPTICS sion spectra of (AB) 12 C(BA) 12 structure at normal incidence. It can be seen from Figure 2 that as d A /d B varies, a pair of tunneling modes appear in the forbidden gap of the 1D-PC (AB) 12 C(BA) 12 when d A /d B >1, and the tunneling modes are situated at the two sides of the center of the forbidden gap.…”

Section: Articlesmentioning

confidence: 99%

“…These metamaterials possess zero-effective-phase gap [10] and can be used to realize easily multiple-channeled optical filters [11] . The frequencies of the tunneling peaks are almost independent of incident angles [12] .In this paper, we studied the tunneling properties and electric field distribution of 1D-PCs consisting of two single-negative media using transfer matrix (TM) meth- …”

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Resonant tunneling properties of photonic crystals consisting of single-negative materials

Deng

Liu

2008

Chin. Sci. Bull.

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We studied the resonant tunneling properties of one-dimensional photonic crystals consisting of single-negative permittivity and single-negative permeability media using transfer matrix methods. The results show that there exists a pair of resonant tunneling modes in this structure. The separation of the pair of tunneling modes can be tuned by varying the ratio of thicknesses of the two single-negative layers or the thickness of the defect layer. The electric field intensity of the resonant tunneling modes increases rapidly with the increase of the ratio of thicknesses of the two single-negative layers. The peak value of the field intensity of the resonant tunneling modes is enhanced by one order of magnitude when the ratio of thicknesses of the two single-negative layers increases by 0.4. This property will be applied widely in the field of nonlinearity optics. With the increase of the ratio of thicknesses of the two single-negative layers, the electric field of the tunneling modes becomes more localized, and the full width at half maximum of the tunneling modes becomes narrower. Besides, the pair of tunneling modes is insensitive to incident angle and thickness fluctuation. These properties will be used for the design of tunable omnidirectional double-channel filter with high quality factor. single-negative material, resonant tunneling, photonic crystal Photonic crystals (PCs) have attracted considerable attention in recent years because of their unique electromagnetic properties and potential applications. Onedimensional (1D) PCs with defect layers have been used for filters that have narrow pass bands with high transmittance [1] . By properly choosing the number and size of the defects, one can realize multiple-channeled optical filters [2] . The frequency and the number of channels are dependent on the geometric and physical parameters of the defects [3] . In the PC structures consisting of positiveindex materials, the localized modes move from higher frequencies to lower frequencies when the thickness of the defect increases [4] . The frequencies of the tunneling peaks shift to be higher as the incident angle increases [5] . Thus the practical applications of PCs are restricted. Recently, PCs containing metamaterials have received special attention for their peculiar properties. One kind of metamaterials is double-negative (DNG) materials whose permittivity (ε) and permeability (μ) are simultaneously negative [6,7] , which can be used to overcome optical diffraction limit, realize superprism focusing, and make a perfect lens [8] . Another kind of metamaterials is single-negative (SNG) metamaterials [9] , which include the mu-negative (MNG) media (the permeability is negative but the permittivity is positive) and the epsilonnegative (ENG) media (the permittivity is negative but the permeability is positive). These metamaterials possess zero-effective-phase gap [10] and can be used to realize easily multiple-channeled optical filters [11] . The frequencies of the tunneling peaks are almost independent of inc...

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Section: Articlesmentioning

confidence: 99%

Section: Articlesmentioning

confidence: 99%

mentioning

confidence: 99%

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Resonant tunneling properties of photonic crystals consisting of single-negative materials

Deng

Liu

2008

Chin. Sci. Bull.

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“…In third-order nonlinear materials, there is a cubic dependence between electric polarization and electric field, which implies that there is an intensity-dependent nonlinear contribution to the refractive index [1]. This characteristic in periodic structures gives rise to a wide range of phenomena that have been applied to achieve new photonics applications such as bistability [12], the zero-n gap based on alternating positive and negative index material [13][14][15][16], and integrated optoelectronics [17,18].…”

Section: Introductionmentioning

confidence: 99%

Tensorial split-field finite-difference time-domain approach for second- and third-order nonlinear materials

2013

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The split-field finite-difference time-domain (SF-FDTD) method for one-dimensionally periodic structures is extended to include the coefficient-tensor description of second-and third-order nonlinear-optical media. A set of nonlinear equations related to the split-field values of the electric field is established. An iterative fixed-point approach for solving the coupled nonlinear system of equations needed to update the electric field components in the SF-FDTD is then developed. The third-order nonlinear susceptibility dispersion is also considered by means of the Raman effect and its implementation in the SF-FDTD scheme. Different scenarios are considered in order to verify the reliability of the method for simulating second-and third-order nonlinear-optical media. First, second-harmonic generation and its efficiency are investigated in a homogeneous layer with and without the quasi-phase-matching technique. Second, the nonlinear dispersion is analyzed by means of the generation of solitons in Kerr media due to the Raman effect. Last, a set of binary phase gratings with nonlinear pillars is considered under oblique incidence. Here the nonlinear refractive index is generated by different physical mechanisms modeled with the nonscalar third-order susceptibility.

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“…This effect is achieved by means of alternating positive-index and negativeindex materials. It was found that this zero-n gap is robust for scaling and omnidirectional for oblique incidence, which makes this type of structures very useful [10][11][12][13][14]. The properties of nonlinear materials and their effect in periodic structures have been also investigated for a wide range of applications [15].…”

Section: Introductionmentioning

confidence: 99%

Split-Field Finite-Difference Time-Domain Scheme for Kerr-Type Nonlinear Periodic Media

Monllor¹,

Tervo²,

Neipp³

2013

PIER

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Abstract-The Split-Field Finite-Difference Time-Domain (SF-FDTD) formulation is extended to periodic structures with Kerr-type nonlinearity. The optical Kerr effect is introduced by an iterative fixedpoint procedure for solving the nonlinear system of equations. Using the method, formation of solitons inside homogenous nonlinear media is numerically observed. Furthermore, the performance of the approach with more complex photonic systems, such as high-reflectance coatings and binary phase gratings with high nonlinearity is investigated. The static and the dynamic behavior of the Kerr effect is studied and compared to previous works.

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Bistability and gap soliton in one-dimensional photonic crystal containing single-negative materials

Cited by 24 publications

References 13 publications

Resonant tunneling properties of photonic crystals consisting of single-negative materials

Resonant tunneling properties of photonic crystals consisting of single-negative materials

Tensorial split-field finite-difference time-domain approach for second- and third-order nonlinear materials

Split-Field Finite-Difference Time-Domain Scheme for Kerr-Type Nonlinear Periodic Media

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