Beam Divergence Calculator

Beam Divergence Formula:

\[ \alpha = \sqrt{\frac{4 \times P}{\pi \times f_{lens}^2 \times \delta p \times \Delta T}} \]

Laser Energy Output (P):

Watt

Focal Length of Lens (f_lens):

Meter

Power Density of Laser Beam (δp):

W/m²

Laser Beam Duration (ΔT):

Second

Beam Divergence (α):

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1. What is Beam Divergence?

Beam Divergence is the angle made by the beam incident on surface of metal. It represents how much a laser beam spreads out as it propagates through space.

2. How Does the Calculator Work?

The calculator uses the Beam Divergence formula:

\[ \alpha = \sqrt{\frac{4 \times P}{\pi \times f_{lens}^2 \times \delta p \times \Delta T}} \]

Where:

\( \alpha \) — Beam Divergence (Radian)
\( P \) — Laser Energy Output (Watt)
\( f_{lens} \) — Focal Length of Lens (Meter)
\( \delta p \) — Power Density of Laser Beam (W/m²)
\( \Delta T \) — Laser Beam Duration (Second)
\( \pi \) — Archimedes' constant (approximately 3.1416)

Explanation: The formula calculates the beam divergence angle based on laser energy output, lens focal length, power density, and beam duration.

3. Importance of Beam Divergence Calculation

Details: Accurate beam divergence calculation is crucial for laser applications in material processing, communications, medical procedures, and scientific research to ensure precise beam focusing and optimal energy delivery.

4. Using the Calculator

Tips: Enter all values in the specified units. Laser Energy Output, Focal Length of Lens, Power Density, and Laser Beam Duration must be positive values greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What factors affect beam divergence?
A: Beam divergence is influenced by laser wavelength, beam quality, optical system design, and the specific parameters used in the calculation formula.

Q2: How does beam divergence impact laser applications?
A: Lower beam divergence allows for better focus and higher power density at the target, which is critical for precision applications like laser cutting, welding, and medical procedures.

Q3: Can beam divergence be reduced?
A: Yes, using high-quality optics, proper beam collimation, and optimized laser system design can help reduce beam divergence.

Q4: What are typical beam divergence values?
A: Beam divergence values vary widely depending on the laser type and application, ranging from micro-radians for high-precision systems to milli-radians for more common industrial applications.

Q5: How is beam divergence measured experimentally?
A: Beam divergence can be measured using beam profilers, knife-edge techniques, or by measuring the beam diameter at multiple points along the propagation path and calculating the divergence angle.