Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers

Peng, Ru‐Wen; Huang, Xu; Qiu, Feng; Wang, Mu; Hu, An; Jiang, Shigui; Mazzer, M.

doi:10.1063/1.1468895

Cited by 101 publications

(71 citation statements)

References 32 publications

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“…Peng et al have observed resonant transmission of light in a symmetric Fibonacci multilayers, characterized by many perfect transmission peaks, useful for narrowband multiwavelength optical filtering applications [8]. They have also studied the light transport through the band-edge states, where they have observed the mode beating and strongly suppressed group veloc-ity.…”

Section: Introductionmentioning

confidence: 99%

“…Since then, a considerable amount of research was carried out, considering the optical response of such structures, in particular, based on Fibonacci multilayer [2][3][4][5][6][7][8][9][10][11][12][13][14]. Some of these works were focused on studying the localization of light waves within Fibonacci quasiperiodic multilayer structures to create photonic bandgaps similar to those existing in periodic structures [2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

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SPECTRAL ANALYSIS OF FIBONACCI-CLASS ONE-DIMENSIONAL ÂQUASI-Periodic STRUCTURES

Golmohammadi¹,

Moravvej-Farshi²,

Rostami³

et al. 2007

PIER

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Abstract-In this paper, spectral properties of the Fibonacci-class one-dimensional quasi-periodic structures, F C J (n), as an important optical structure are investigated. Analytical relations for description of the spectral properties of F C J (n) are used. Fast Fourier Transform (FFT) for investigation of the spectral properties of these structures is proposed. FFT spectrum of the Fibonacci-class one-dimensional quasi-periodic structures contains peaks that are equivalent to photonic bandgaps or multiband reflection filter. Based on the proposed relations and FFT simulation results, the optical bandgap and other properties of these structures are studied. In this paper, the effects of the optical and geometrical parameters on optical properties of the Fibonacci quasi-periodic structures are considered. Our proposed relations show that the spectral contents of the Fibonacci-class onedimensional quasi-periodic structures have two main terms including the low and high frequency parts. Our results illustrate that the high frequency term depends up on the class order, n, and the width of the layer B, d b , while the low frequency term depends on the width

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

SPECTRAL ANALYSIS OF FIBONACCI-CLASS ONE-DIMENSIONAL ÂQUASI-Periodic STRUCTURES

Golmohammadi¹,

Moravvej-Farshi²,

Rostami³

et al. 2007

PIER

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show abstract

“…Omnidirectional bandgaps of these structures are reported by Lusk et al [13]. Perfect transmission in symmetric quasiperiodic multilayer structures based on Fibonacci sequence was observed by Peng et al [14]. Fast Fourier Transform has already been used for spectral analysis of some periodic waveguide and grating structures [15,16], but, so far, very little effort is reported on applying this transform to study of spectral contents of quasiperiodic multilayer structures [17].…”

Section: Introductionmentioning

confidence: 99%

Photonic Bandgaps in Quasiperiodic Multilayer Structures Using Fourier Transform of the Refractive Index Profile

Golmohammadi

Rouhani²,

Abbasian³

et al. 2009

PIER B

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Abstract-In this paper, photonic bandgaps (PBGs) of the quasiperiodic structures is calculated using the Fourier transform of the refractive index profile. Comparing the reflectivity and Fourier spectrum of multilayer structure refractive index, we find that a peak in the Fourier spectrum is equivalent to a sinusoidal term in the refractive index. The wavelength of the peak location in the Fourier spectrum is half the wavelength where a PBG is located. Using Fourier transform analysis of the refractive index of any multilayer structure, we can determine the location of the PBGs of that structure. Peaks in the Fourier spectrum can be used to design reflective band optical filters in optical communication systems. The filtering wavelengths are twice the peaks in the Fourier spectrum.

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“…However, to increase the maximum transmission at a resonance peak, the structure should remain symmetric. It was once believed that only symmetric multilayers can exhibit theoretically perfect transmission resonances (PTRs) [22][23][24] and that PTRs are explicitly related to mirror symmetry [25]. Further studies revealed that perfect transmission is rare but possible in asymmetric multilayers.…”

Section: Introductionmentioning

confidence: 99%

All-optical diode action in asymmetric nonlinear photonic multilayers with perfect transmission resonances

Zhukovsky

Smirnov

2011

Phys. Rev. A

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Light propagation in asymmetric Kerr-nonlinear multilayers with perfect transmission resonances is theoretically investigated. It is found that hybrid Fabry-Pérot/photonic-crystal structures of the type (BA) k (AB) k (AABB) m exhibit both pronounced unidirectionality (due to strong spatial asymmetry of the resonant mode) and high transmission (due to the existence of a perfect transmission resonance). This results in nonlinear optical diode action with low reflection losses without need for a pumping beam or input pulse modulation. By slightly perturbing the perfect transmission resonance condition, the operating regime of the optical diode can be tuned, with a trade-off between minimizing the reflection losses and maximizing the frequency bandwidth where unidirectional transmission exists. Optical diode action is demonstrated in direct numerical simulation, showing >92% transmittance in one direction and about 22% in the other. The effect of perfect transmission resonance restoration induced by nonlinearity was observed analytically and numerically. The proposed geometry is shown to have advantages over previously reported designs based on photonic quasicrystals.

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Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers

Cited by 101 publications

References 32 publications

SPECTRAL ANALYSIS OF FIBONACCI-CLASS ONE-DIMENSIONAL ÂQUASI-Periodic STRUCTURES

SPECTRAL ANALYSIS OF FIBONACCI-CLASS ONE-DIMENSIONAL ÂQUASI-Periodic STRUCTURES

Photonic Bandgaps in Quasiperiodic Multilayer Structures Using Fourier Transform of the Refractive Index Profile

All-optical diode action in asymmetric nonlinear photonic multilayers with perfect transmission resonances

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Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers

Cited by 101 publications

References 32 publications

SPECTRAL ANALYSIS OF FIBONACCI-CLASS ONE-DIMENSIONAL ÂQUASI-Periodic STRUCTURES

SPECTRAL ANALYSIS OF FIBONACCI-CLASS ONE-DIMENSIONAL ÂQUASI-Periodic STRUCTURES

Photonic Bandgaps in Quasiperiodic Multilayer Structures Using Fourier Transform of the Refractive Index Profile

All-optical diode action in asymmetric nonlinear photonic multilayers with perfect transmission resonances

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Product

Resources

About

SPECTRAL ANALYSIS OF FIBONACCI-CLASS ONE-DIMENSIONAL ÂQUASI-Periodic STRUCTURES

SPECTRAL ANALYSIS OF FIBONACCI-CLASS ONE-DIMENSIONAL ÂQUASI-Periodic STRUCTURES