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Laser Beam Expander Calculator
Galilean & Keplerian Design Analysis Tool
2 Types
6+ Parameters
Galilean Expander Design
Design Method
Galilean Results
Beam Parameters
Output Beam Diameter - mm
Output Divergence - mrad
Magnification Factor - ×
Optical Design
First Lens (Negative) - mm
Second Lens (Positive) - mm
Lens Separation - mm
Performance
System Length - mm
Beam Quality Preservation Excellent
Keplerian Beam Expander
Keplerian expander analysis will be displayed here.
Design Comparison
Side-by-side comparison of Galilean vs Keplerian designs will be displayed here.
Optical Layout Diagram
Visual representation of the beam expander configuration
Input Beam
f₁ = -50mm
f₂ = 250mm
Output Beam
200mm
Beam Expander Theory
Beam expanders increase laser beam diameter while proportionally reducing divergence, maintaining beam quality and improving focusability.
Galilean Design
- Uses negative-positive lens combination
- Compact design with no intermediate focus
- Virtual image formation
- Magnification M = -f₂/f₁
Keplerian Design
- Uses positive-positive lens combination
- Creates intermediate focus point
- Real image formation
- Magnification M = f₂/f₁
Key Relationships:
Magnification: M = D₂/D₁ = θ₁/θ₂
Divergence Reduction: θ₂ = θ₁/M
Beam Quality: M² remains constant
Design Advantages
Galilean Advantages
- Compact size - shorter overall length
- No intermediate focus - reduces damage risk
- Better for high-power applications
- No beam inversion
- Lower cost implementation
Keplerian Advantages
- Spatial filtering capability at focus
- Better aberration correction possible
- Easier alignment and adjustment
- Can accommodate beam shaping elements
- More flexible optical design
Applications
Industrial Processing
- Laser cutting and welding beam preparation
- Material processing beam conditioning
- Additive manufacturing systems
- Surface treatment applications
Scientific & Research
- Spectroscopy beam preparation
- Interferometry applications
- Microscopy illumination
- Optical trapping systems
Medical & Defense
- Medical laser therapy systems
- Surgical laser beam delivery
- LIDAR and ranging systems
- Free-space optical communication