Computational-Electromagnetics-FDTD-Analysis

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Computational-Electromagnetics-FDTD-Analysis

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FDTD solutions of Maxwell's equations

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# Computational Electromagnetics (FDTD Analysis)      
[![License](https://img.shields.io/badge/license-MIT-blue.svg)](https://raw.githubusercontent.com/utsav-akhaury/Computational-Electromagnetics-FDTD-Analysis/master/LICENSE)

Python 3 & MATLAB codes for implementing the Finite Difference Time Domain (FDTD) algorithm to solve Maxwell's equations for modelling different electromagnetic structures.

The Python codes have the following dependencies -

1) **[NumPy](https://numpy.org/)** &nbsp;- &nbsp;for mesh discretization

2) **[matplotlib](https://matplotlib.org/)** &nbsp;- &nbsp;for general plots

3) **[mpl_toolkits.mplot3d](https://matplotlib.org/mpl_toolkits/mplot3d/)** &nbsp;- &nbsp;for surface plots <br /><br />

## Description of the Models Implemented <br />

1) **[homog_gau.py](https://github.com/utsav-akhaury/Computational-Electromagnetics-FDTD-Analysis/blob/master/homog_gau.py)**   
Gaussian pulse propagation in a homogeneous medium

2) **[homog_gau_abc.py](https://github.com/utsav-akhaury/Computational-Electromagnetics-FDTD-Analysis/blob/master/homog_gau_abc.py)**   
Gaussian pulse propagation in a homogeneous medium terminated with Absorbing Boundary Condition (ABC)

3) **[interface_gau.py](https://github.com/utsav-akhaury/Computational-Electromagnetics-FDTD-Analysis/blob/master/interface_gau.py)**   
Gaussian Pulse propagation through an interface with ABC at extreme boundaries

4) **[interface_sin.py](https://github.com/utsav-akhaury/Computational-Electromagnetics-FDTD-Analysis/blob/master/interface_sin.py)**  
Sine wave propagation through an interface with ABC at extreme boundaries

5) **[Microstrip_SW.py](https://github.com/utsav-akhaury/Computational-Electromagnetics-FDTD-Analysis/blob/master/Microstrip_SW.py)**  
50 Ω Microstrip transmission line with an open termination (ZL = ∞) and ABC

6) **[Microstrip_SW-2.py](https://github.com/utsav-akhaury/Computational-Electromagnetics-FDTD-Analysis/blob/master/Microstrip_SW-2.py)**  
Two symmetrically spaced 50 Ω Microstrip transmission lines with open termination (ZL = ∞) and ABC

7) **[Microstrip_SW-2_dielectric.py](https://github.com/utsav-akhaury/Computational-Electromagnetics-FDTD-Analysis/blob/master/Microstrip_SW-2_dielectric.py)**   
Two symmetrically spaced 50 Ω Microstrip transmission lines with open termination (ZL = ∞), a cylindrical dielectric region in between the striplines and feed on one strip

8) **[Two_port_gaussian.m](https://github.com/utsav-akhaury/Computational-Electromagnetics-FDTD-Analysis/blob/master/Two-Port-Transmission-Lines/Two_port_gaussian.m)**  
Two-port 50 Ω transmission line with gaussian feed at transmitting end. The corresponing signal at the receiving end is analysed in time & frequency domain

9) **[Two_port_modulated_gaussian.m](https://github.com/utsav-akhaury/Computational-Electromagnetics-FDTD-Analysis/blob/master/Two-Port-Transmission-Lines/Two_port_modulated_gaussian.m)**   
Two-port 50 Ω transmission line with gaussian signal modulated by a sinusoidal pulse at transmitting end

10) **[Luebbers_Tapered_gaussian.m](https://github.com/utsav-akhaury/Computational-Electromagnetics-FDTD-Analysis/blob/master/Two-Port-Transmission-Lines/Source-Tapering/Luebbers_Tapered_gaussian.m)**     
Two-port 50 Ω transmission line with Luebber's source (lumped source with internal resistance) and Source Tapering (staircased FDTD mesh transition from ground plane to stripline) for a gaussian signal

10) **[Final_Structure.m](https://github.com/utsav-akhaury/Computational-Electromagnetics-FDTD-Analysis/blob/master/Final_Structure.m)**     
Two-port 50 Ω transmission lines with a cylindrical dielectric region in between

Computational-Electromagnetics-FDTD-Analysis

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