Perfect transmission and self-similar optical transmission spectra in symmetric Fibonacci-class multilayers

Huang, Xu; Jiang, S. S.; Peng, Ru‐Wen; Hu, An

doi:10.1103/physrevb.63.245104

Cited by 77 publications

(46 citation statements)

References 37 publications

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“…Hybrid-order devices formed by periodic and quasiregular blocks have been found to exhibit complementary optical responses [18] and separate confinement of the atom displacements in the different parts of the hybrid structure for given frequency ranges [19]. Perfect optical transmission has been found in symmetric Fibonacci-class multilayers [20].…”

Section: Introductionmentioning

confidence: 98%

Vibrational properties of quasiregular systems with mirror symmetry

et al. 2005

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Section: Introductionmentioning

confidence: 98%

Vibrational properties of quasiregular systems with mirror symmetry

et al. 2005

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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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“…According to the mathematical recursive relations the Fibonacci-class quasi periodic structures can be generated using the following two main substitutions that is done for two basic elements A and B [14].…”

Section: Mathematical Modelmentioning

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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Perfect transmission and self-similar optical transmission spectra in symmetric Fibonacci-class multilayers

Cited by 77 publications

References 37 publications

Vibrational properties of quasiregular systems with mirror symmetry

Vibrational properties of quasiregular systems with mirror symmetry

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

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

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Perfect transmission and self-similar optical transmission spectra in symmetric Fibonacci-class multilayers

Cited by 77 publications

References 37 publications

Vibrational properties of quasiregular systems with mirror symmetry

Vibrational properties of quasiregular systems with mirror symmetry

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

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

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