Compression of ultra-short light pulses using the graded refractive index one-dimensional photonic crystals

Shiri, R.; Bananej, Alireza; Safari, Ebrahim

doi:10.1016/j.optcom.2016.04.061

Cited by 12 publications

(6 citation statements)

References 23 publications

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“…In the current work, we have compared the rectangular, sinusoidal, saw-tooth, and triangular refractive index profiles. A difference between our work and previously studied such as refractive index of graded layers with linear, exponential, and parabolic profiles in [54], is that in their work each layer has a thickness of L, and the refractive index inside this layer changes gradually. However, in our work, we have continuous refractive index profiles thorough the total system spatial domain.…”

Section: Introductionmentioning

confidence: 77%

“…This method can also be used along with tight-binding models [48], Ising model [49], Monte Carlo schema [50], etc. In addition, the gradient index photonic crystals are considered in some available references such as parabolic refractive index profile [51], hyperbolic-secant refractive index profile [52], saw-tooth refractive index [53], the refractive index of graded layers with linear, exponential, and parabolic profiles [54], and sinusoidal densities [55].…”

Section: Introductionmentioning

confidence: 99%

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Effect of Geometry on the Electromagnetic Wave Transport Properties of Photonic Crystals: Comparison of Top-Flat and Top-Curved Refractive Index Profiles

Solaimani

Nejati

2021

Preprint

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In the current paper, we try to engineer the refractive index profile in a one-dimensional photonic crystal as a powerful tool to manage the electromagnetic wave transmission properties. For this purpose, we have compared four sinusoidal, rectangular, triangular, and saw-tooth refractive index profile types. In this way, we have used a transfer matrix method accompanied by the discretization of the spatial domain. This method can readily be applied to any arbitrary continuous refractive index profile. Then, we have tried to address the effects of different geometrical and physical parameters, including the photonic crystal length L, dielectric permittivity εd, number of layers and plasma density np, etc. on the light propagation through the mentioned photonic crystals. In the proposed two-layer plasma/dielectric photonic crystals we could observe acceptable ranges of Omni-directional photonic band gaps that their position width and their number can be regulated. We determine the most and least tunable systems.

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Section: Introductionmentioning

confidence: 77%

Section: Introductionmentioning

confidence: 99%

Effect of Geometry on the Electromagnetic Wave Transport Properties of Photonic Crystals: Comparison of Top-Flat and Top-Curved Refractive Index Profiles

Solaimani

Nejati

2021

Preprint

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“…Problems with continuous refractive index are interesting from the application point of view [7,51,20,48]. Motivated by the application in [48], we introduce a refractive index profile resembling a continuous bump, and define…”

Section: Bump Problemmentioning

confidence: 99%

“…Motivated by the application in [48], we introduce a refractive index profile resembling a continuous bump, and define…”

Section: Bump Problemmentioning

confidence: 99%

On spurious solutions in finite element approximations of resonances in open systems

Araujo-Cabarcas

Engström

2017

Computers & Mathematics with Applications

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In this paper, we discuss problems arising when computing resonances with a finite element method. In the pre-asymptotic regime, we detect for the one dimensional case, spurious solutions in finite element computations of resonances when the computational domain is truncated with a perfectly matched layer (PML) as well as with a Dirichlet-toNeumann map (DtN). The new test is based on the Lippmann-Schwinger equation and we use computations of the pseudospectrum to show that this is a suitable choice. Numerical simulations indicate that the presented test can distinguish between spurious eigenvalues and true eigenvalues also in difficult cases.

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“…During the last two decades, many efforts have been achieved to engineer photonic crystals or fibers so as to slow light [6] or trigger soliton propagation [7]. Ultrashort pulse shaping applications have also been contemplated, both in the nonlinear [8,9] and linear [10,11] optical regime. In the latter case, group velocity changes in the vicinity of the bandgap enable negative or positive chirping of the incoming pulse.…”

Section: Introductionmentioning

confidence: 99%

Dispersion of 20 fs pulses through band edges of cholesteric liquid crystals

Neradovskiy¹,

Scarangella²,

Jullien³

et al. 2019

Opt. Express

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We demonstrate the ability to manipulate ultrashort pulses in cholesteric liquid crystals in the linear regime. We present an extensive analysis of the spectral changes undergone by 20fs pulses when propagating through band edges of cholesteric liquid crystals. The accurate quantification of the introduced optical dispersion opens the way to controlled stretching and compression of ultrashort pulses. The behaviors of cholesteric liquid crystal films with different thickness, bandgap and structural parameters (monotonic pitch versus pitch-gradient films) are compared. A statistical approach is disclosed to fidelize and deepen the set of experimental investigations.

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Compression of ultra-short light pulses using the graded refractive index one-dimensional photonic crystals

Cited by 12 publications

References 23 publications

Effect of Geometry on the Electromagnetic Wave Transport Properties of Photonic Crystals: Comparison of Top-Flat and Top-Curved Refractive Index Profiles

Effect of Geometry on the Electromagnetic Wave Transport Properties of Photonic Crystals: Comparison of Top-Flat and Top-Curved Refractive Index Profiles

On spurious solutions in finite element approximations of resonances in open systems

Dispersion of 20 fs pulses through band edges of cholesteric liquid crystals

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