Download Development of Optical Simulation Software for Ultra-Stable Optical Bench Fabrication

Development of Optical Simulation Software for Ultra-Stable Optical Bench Fabrication
Hsien-Chi YEH, Hui-Zong DUAN et al
Huazhong University of Science & Technology, Wuhan, China, 430074
2014.5
Characteristics:
Motivations:





Theorem of Optical Simulation Analyze satellite altitude jitter-OPL coupling error;
Analyze thermal-OPL coupling error;
Analyze vibration effects;
Calculate components’ alignment requirements;
Get geometrical parameters of Optical
Interferometer.
 “OPTICAL SIMULATION” is developed based on
MATLAB platform;
 Building 3D Interferometer model;
 Auto-configuration of components;
 Static and dynamic simulation.
Optical Simulation Software
Data types (16 data structures)
Plane Surface Component
Plate Component
Curved Surface Component Cube Component
Laser Beam
Spherical Cube Component
Spherical Lens
Functions Sets (96 Functions)
Beam Tree
Gaussian Beam System Build Functions
Geometrical Functions
Roots Finding Functions
Translation Transform
Optical Functions
Rotation Transform
Ray Tracing Functions
Beam Axis Tracing Arithmetic & Beam Calculation
Parameters:
Finding effective intersection point
True




False
Stop Surface?
Building Stop Node
Building Reflection and
Refraction Node
Fused Silica Components;
Spherical Lens;
Focal length: 60 & 10 mm;
Input laser beam waist 2.5 mm.
Dynamic Simulation Functions
System Alignment Functions
Beam Calculation Functions
Other Functions
Visualizatio
n Functions Data saving Functions
Math & Optics theorem of Optical Simulation
Why do we need a 3‐D interferometer simulation software?
Beam Axis Tracing
Geometrical Optics Theorem
Auto‐alignment of optical components
Geometrical Parameters of optical system
Gaussian beam TEM00 Interfere
Paraxial Optics & Gaussian Beam Theorem Gaussian Beam Parameter Calculation
Euclid Geometrical Transformation Theorem Translation Transform Rotation around coordinate axis
Rotation Transform
Rotation around a fixed axis
Graph Theorem
TEM00 Gaussian Beam Interference Calculation  

E ( z, r ; t )  
r2
kr 2
2P
exp[ 2 ]exp{i[
  ( z )]}exp[i (kz  t )]
2
 ( z )
 ( z)
2 R( z )



 E1 ( z1 , r1 ; t )  A1 ( z1 , r1 ; t ) exp[i1 ( z1 , r1 ; t )]  a1  A1 ( z1 , r1 ; t ) exp[i1 ( z1 , r1 ; t )]



 E2 ( z2 , r2 ; t )  A2 ( z2 , r2 ; t ) exp[i2 ( z2 , r2 ; t )]  a2  A2 ( z2 , r2 ; t ) exp[i2 ( z2 , r2 ; t )]
IP  E
2
2
2
   
 E1  E2  2a1  a2 E1 E2 cos(1   2 )
I (t )   I p d
Add to Beam Tree
Step0
Step1
Step2
Reflection Beam Node1
Stop Node 3
Beam Source 0
Reflection Beam Node 4
Refraction Beam Node 2
Refraction Beam Node 5
Step3
Step4
Reflection Beam Node 6
Stop Node 9
Refraction Beam Node 7
Stop Node 10
• Calculate the beat signal
output by PD or QPD;
• Using PhaseMeter function
to get the signal phase.
Stop Node 8
Optical Path Calculation
Differential Wave-front Sensing Simulation
Optical Interferometer Deign
Positioning Ball Coordinates Calculation
Static Simulation
Center for gravitational experiments, MOE Key Laboratory of fundamental Physical Quantities Measurements
School of Physics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China