Localization and polarization transformation of waves by a symmetric and asymmetric modified Fibonacci chiral multilayer

Tuz, Vladimir R.; Batrakov, Oleg

doi:10.1080/09500340.2010.522261

Cited by 6 publications

(4 citation statements)

References 32 publications

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“…the width and position of stopbands on the frequency scale, which are key characteristics that are taken into consideration when designing the Bragg reflection waveguides. As noted in our previous papers [18,19,20,21], stopbands in the spectra of aperiodic structures can appear to be shifted in comparison with the stopbands in the spectra of periodic structures assuming the same material parameters and number of layers in the multilayered systems. Therefore, in this paper, in order to provide a comparative study, we consider spectral features and dispersion characteristics of a Bragg reflection waveguide having either periodic or aperiodic configuration of layers in the cladding.…”

Section: Introductionsupporting

confidence: 51%

“…Here k zg = k 0 (n 2 g − n 2 ef f ) 1/2 is the transverse wavenumber in the core, n ef f = β/k 0 is introduced as an effective refractive index for each particular guided mode, k 0 = ω/c is the free space wavenumber, and R is the complex reflection coefficient of the Bragg mirror which is depended on the wave polarization. The reflection coefficient R can be derived engaging the transfer matrix formalism [18,19,20]…”

Section: Theoretical Descriptionmentioning

confidence: 99%

“…The plane monochromatic waves of TE ( E TE x 0 ) and TM ( H TM x 0 ) polarizations can be defined in a particular j-th layer (j = 1, 2, ..., N) of the sequence in the form Here n j takes on values n g for the core layer, and n Ψ and n Υ for the Ψ and Υ cladding layers, respectively. The field amplitudes for the structure input and output are evaluated as [18,19,20]…”

Section: Appendix B Transfer Matrix Descriptionmentioning

confidence: 99%

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Dispersion blue-shift in an aperiodic Bragg reflection waveguide

Fesenko

Tuz

2016

Optics Communications

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A particular feature of an aperiodic design of cladding of Bragg reflection waveguides to demonstrate a dispersion blue-shift is elucidated. It is made on the basis of a comparative study of dispersion characteristics of both periodic and aperiodic configurations of Bragg mirrors in the waveguide system, wherein for the aperiodic configuration three procedures for layers alternating, namely Fibonacci, Thue-Morse and Kolakoski substitutional rules are considered. It was found out that, in a Bragg reflection waveguide with any considered aperiodic cladding, dispersion curves of guided modes appear to be shifted to shorter wavelengths compared to the periodic configuration regardless of the modes polarization.

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Section: Introductionsupporting

confidence: 51%

Section: Theoretical Descriptionmentioning

confidence: 99%

Section: Appendix B Transfer Matrix Descriptionmentioning

confidence: 99%

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Dispersion blue-shift in an aperiodic Bragg reflection waveguide

Fesenko

Tuz

2016

Optics Communications

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“…Chiral objects are three-dimensional (3D) bodies that cannot be brought into congruence with their mirror image by translation and rotation operations. Selfsimilarity, scalability and sequential splitting of the spectra in quasiperiodic chiral photonic structures was first investigated [131], and subsequently the chirality influence on the critical modes localization was analyzed [132].…”

Section: Layered Metamaterials Metamaterials Are Artificially Constru...mentioning

confidence: 99%

Exploiting aperiodic designs in nanophotonic devices

2012

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In this work we consider the role of aperiodic order-order without periodicity-in the design of different optical devices in one, two and three dimensions. To this end, we will first study devices based on aperiodic multilayered structures. In many instances the recourse to Fibonacci, Thue-Morse or fractal arrangements of layers results in improved optical properties compared with their periodic counterparts. On this basis, the possibility of constructing optical devices based on a modular design of the multilayered structure, where periodic and quasiperiodic subunits are properly mixed, is analyzed, illustrating how this additional degree of freedom enhances the optical performance in some specific applications. This line of thought can be naturally extended to aperiodic arrangements of optical elements, such as nanospheres or dielectric rods in the plane, as well as to three-dimensional photonic quasicrystals based on polymer materials. In this way, plentiful possibilities for new tailored materials naturally appear, generally following suitable optimization algorithms. Then, we present a detailed discussion on the physical properties supporting the preferential use of aperiodic devices in a number of optical applications, opening new avenues for technological innovation. Finally we suggest some related emerging topics that deserve some attention in the years to come.

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