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Introduction

Mueller Matrix Calculation Program

This Fortran program calculates the Mueller matrix for a system based on polarization states of light using user-provided input angles and values for various polarization parameters.

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How to Use

Prerequisites:

• A Fortran compiler (e.g., gfortran)
• A command line terminal

Compilation:

Compile the program with the following command:

gfortran main.f90 -o mueller_matrix 

Running the Program:

After compilation, run the program by entering:

./mueller_matrix

Input:

The program will prompt you for input in two steps:

1. Angles for polarization states (in degrees):
   • HO, VO, PO, MO, LO, RO, OH, OV, HH, VV, PH, MV
2. Values for specific polarization parameters:
   • HV, VH, PV, MH, LH_RV, LV_RH

Example Input:

Enter angles for HO, VO, PO, MO, LO, RO, OH, OV, HH, VV, PH, MV (in degrees):
30 60 45 30 90 120 45 60 90 45 30 60

Enter values for HV, VH, PV, MH, LH_RV, LV_RH:
0.5 0.5 0.3 0.3 0.4 0.4

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Terms Explained

1. HO: Horizontal Output Polarization
2. VO: Vertical Output Polarization
3. PO: Polarization Output at an arbitrary plane
4. MO: Another polarization output state for comparison with PO
5. LO: Left circular polarization output
6. RO: Right circular polarization output
7. OH: Horizontal Input Polarization
8. OV: Vertical Input Polarization
9. HH: Horizontal input and horizontal output polarization
10. VV: Vertical input and vertical output polarization
11. PH: Polarization input at an arbitrary angle and horizontal output
12. MV: Mixed polarization input and vertical output
13. HV, VH: Horizontal and Vertical cross-polarized input/output (used to represent cross-polarization effects)
14. PV: Polarization at an arbitrary angle with vertical output
15. MH: Mixed polarization input with horizontal output
16. LH_RV, LV_RH: Represent left-hand circular to right-hand circular polarization interactions

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Output:

The program will output a 4x4 Mueller matrix based on the entered angles and polarization values.

Resources

• Taken from Diffuse backscattering Mueller matrices of highly scattering media paper by Andreas H. Hielscher

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