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Properties of DTFT II

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In the study of discrete-time signal processing, understanding the properties of the Discrete-Time Fourier Transform (DTFT) is crucial for analyzing and manipulating signals in the frequency domain. Several properties, including frequency differentiation, convolution, accumulation, and Parseval's relation, offer powerful tools for signal analysis.
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Related Experiment Video

Updated: Jul 4, 2026

Adapting Taylor Dispersion to Measure the Dispersion Coefficient of Electrolyte Solutions via an Accessible Microfluidic Setup

Adapting Taylor Dispersion to Measure the Dispersion Coefficient of Electrolyte Solutions via an Accessible Microfluidic Setup

Published on: October 7, 2025

Dispersive contour-path algorithm for the two-dimensional finite-difference time-domain method.

Ahmad Mohammadi¹, Tahmineh Jalali, Mario Agio

¹Department of Physics, Persian Gulf University, 75196 Bushehr, Iran.

|June 12, 2008

Summary

This summary is machine-generated.

We improved the contour-path effective-permittivity (CP-EP) finite-difference time-domain (FDTD) algorithm for modeling dispersive materials. Our new dispersive contour-path (DCP) method accurately simulates plasmon spectra, outperforming staircasing by reducing spurious resonances.

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The Diffusion of Passive Tracers in Laminar Shear Flow

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Published on: May 1, 2018

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Adapting Taylor Dispersion to Measure the Dispersion Coefficient of Electrolyte Solutions via an Accessible Microfluidic Setup

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Published on: October 7, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

Area of Science:

Computational electromagnetics
Plasmonics
Materials science

Background:

The finite-difference time-domain (FDTD) method is widely used for electromagnetic simulations.
Accurate modeling of dispersive materials remains a challenge in FDTD.
Previous methods like contour-path effective-permittivity (CP-EP) have limitations with dispersive media.

Purpose of the Study:

To extend the CP-EP FDTD algorithm to handle linear dispersive materials.
To develop a new numerical approach for simulating plasmon spectra in metal nanoparticles.
To improve the accuracy and reduce spurious resonances in FDTD simulations of plasmonic systems.

Main Methods:

Extension of the CP-EP FDTD algorithm using Z-transform formalism.
Development of the dispersive contour-path (DCP) approach.
Validation against staircasing and exact solutions for plasmon spectra of metal nanoparticles.

Main Results:

The DCP approach successfully incorporates linear dispersion into the FDTD algorithm.
Simulations show the DCP method provides more accurate plasmon spectra compared to staircasing.
The DCP method effectively cancels spurious resonances, a common issue in FDTD simulations.

Conclusions:

The developed DCP approach is a significant improvement for FDTD simulations of dispersive materials.
This method offers enhanced accuracy for modeling plasmonic phenomena in metal nanoparticles.
The DCP technique provides a more reliable tool for researchers in computational electromagnetics and nanophotonics.