Exact analytical solution for the electromagnetic wave propagation in a photonic band gaps material with sinusoidal periodicity of dielectric permittivity

HADDAD, Abdelmajid

doi:10.1016/j.ijleo.2015.11.049

Cited by 8 publications

(5 citation statements)

References 18 publications

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“…Bragg reflectors. More interesting would be to assume a sinusoidal variation in permittivity, which has a wave equation that matches that for Mathieu functions 4 [12,13]. The periodic Mathieu functions depend on two parameters a n , q, where = ( ) a a q n n is the nth characteristic value.…”

Section: The Permittivity Functionmentioning

confidence: 99%

Subwavelength mode profile customization using functional materials

et al. 2017

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An ability to completely customise the mode profile in an electromagnetic waveguide would be a useful ability. Currently, the transverse mode profile in a waveguide might be varied, but this is usually a side effect of design constraints, or for control of dispersion. In contrast, here we show how to control the longitudinal (propagation direction) mode profile on a sub-wavelength scale, but without the need for active solutions such as synthesizing the shape by combining multiple Fourier harmonics. This is done by means of a customised permittivity variation that can be calculated either directly from the desired mode profile, or as inspired by e.g. the range of shapes generated by the Mathieu functions. For applications such as charged particle beam dynamics, requiring field profile shaping in free space, we show that it is possible to achieve this despite the need to cut a channel through the medium.

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Section: The Permittivity Functionmentioning

confidence: 99%

Subwavelength mode profile customization using functional materials

et al. 2017

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“…Electromagnetic (EM) wave shielding, commonly known as stealth technology, is another crucial area of study based on the principles of electromagnetics [9][10][11]. Typically, carbon nanotube-based structures are used to absorb radar beams in the shielding process, with the permittivity and permeability of carbon nanotubes being utilized to provide an effective method of protecting against electromagnetic waves.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Electromagnetic Wave Propagation in Triple Walled Carbon Nanotubes

Basmaci,

Filiz

2024

IJCESEN

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This study examines the behavior of electromagnetic wave propagation in a unique and complex three-walled carbon nanotube structure. The structure is formed by nesting three distinct nanotubes, and the interactions between them are thoroughly analyzed, taking into account their varying electromagnetic, material, and nano properties. The structure is designed at a nanoscale to provide a comprehensive description of electromagnetic wave propagation, including the electromagnetic interaction between the second nanotube, located in the middle of the structure, and the other two nanotubes situated in both the inner and outer portions of the structure. This study presents novel findings that differ from existing literature on the subject, contributing to our understanding of this important area of research.

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“…In a planar lightwave circuit (PLC), optical wave guiding can be achieved by dividing the waveguide in multiple ways. Likewise, several techniques have been developed to achieve optical waveguiding related to the photonic-crystalline structures [ 28 , 29 , 30 , 31 , 32 ].…”

Section: Introductionmentioning

confidence: 99%

Behaviors of Electromagnetic Wave Propagation in Double-Walled Carbon Nanotubes

Basmaci

2021

Materials

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In this study, behaviors of electromagnetic wave propagation in a double-walled carbon nanotube (DWCNT) are investigated theoretically. For this purpose, the effects of carbon nanotube’s inner and outer tubes’ material property parameters (μ, ε) on electromagnetic wave propagation are discussed. The effects of interaction between the carbon nanotube’s inner and outer tubes on the electromagnetic wave propagation are defined. Nonlocal effects of the DWCNT on electromagnetic wave propagation are examined. Besides, the electromagnetic wave propagation frequencies are specifically investigated, taking the DWCNT’s nonlocal effects and material property parameters (ε, µ) into account. When the wavenumber, k, is greater than 1.8 × 1010, the frequencies of the fundamental mode and the second mode converge to 3.554 × 108 Hz. Additionally, the electromagnetic wave propagation frequencies decrease with the increase of the DWCNT’s nonlocal parameter (ν) and decrease with material parameter (D).

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Exact analytical solution for the electromagnetic wave propagation in a photonic band gaps material with sinusoidal periodicity of dielectric permittivity

Cited by 8 publications

References 18 publications

Subwavelength mode profile customization using functional materials

Subwavelength mode profile customization using functional materials

Investigation of Electromagnetic Wave Propagation in Triple Walled Carbon Nanotubes

Behaviors of Electromagnetic Wave Propagation in Double-Walled Carbon Nanotubes

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