2D-BPM

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Keywords: Beam-Propagation-Method, 2D, Scalar, Python

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# 2D-BPM
Keywords: Beam-Propagation-Method, 2D, Scalar, Pade(1,1)
Implementation of a simple Pade(1,1) Beam Propagation.

## Setup and start

* After cloning the repository install the dependencies by running:  
```
> pip install -r requierements.txt  
```
* The simulation should be started by running:
```
> python Simulation_scode.py  
```

## Walkthrough

1. The first step is to create the simulation area.  It is internally represented by an 2D array which stores the refractive indexes.  
1. Some constraints are defined: 
    resolution (pixel per um) and simulation frequency
1. The eigenvalue ( fundamental mode) of the waveguide at the input plane is calculated  
1. The magnitude at the input plane is plotted.  
![image magnitude distribution input](https://raw.githubusercontent.com/Thaulino/2D-BPM/master/media/Fig0.png)
1. The meshed simulation area is plotted.  
![image meshed simulation area](https://raw.githubusercontent.com/Thaulino/2D-BPM/master/media/Fig1.png)  
1. The beam propagation method is executed, this may take some seconds. The script will output a alive message by printing out: 
```
-----> running
```  
7. The simulated magnitude distribution is plotted.  
![image magnitude distribution](https://raw.githubusercontent.com/Thaulino/2D-BPM/master/media/Fig2.png) 
1. The magnitude distribution at the output plane is plotted.  
![image magnitude distribution output](https://raw.githubusercontent.com/Thaulino/2D-BPM/master/media/Fig3.png)

## Known issues

The simulation is not energy preserving due to inaccuracy, rounding and edge effects.

2D-BPM

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