Vibration Engineering

Laser Vibrometer Optical Spot Size and Working Distance Optimizer for Modal Test Resolution Calculator

Laser Vibrometer Optical Spot Size and Working Distance Optimizer for Modal Test Resolution engineering calculator.

Quick Answer

Calculate Laser Vibrometer Optical Spot Size and Working Distance Optimizer for Modal Test Resolution

Calculator

Optimized Spot Size & Working Distance Metric (m)
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Result Interpretation

Laser Vibrometer Optical Spot Size and Working Distance Optimizer for Modal Test Resolution Calculator computes Optimized Spot Size & Working Distance Metric in m using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Laser Wavelength = 1.55E-6
  • Structural Damping Ratio = 0.01
  • Target Modal Frequency = 500
  • Working Distance = 0.5
  • Beam Quality Factor (M²) = 1.1
  • Vibration Period = 0.002

Expected Result:

  • Optimized Spot Size & Working Distance Metric = 0.00047657993178721

Engineering Interpretation:

Under the given input conditions, the calculated result is: Optimized Spot Size & Working Distance Metric = 0.00047657993178721 m.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

optimized spot size & working distance metric = sqrt( (laser wavelength * working distance) / (3.1415926535898 * M²) ) * (1 + (2 * target modal frequency * structural damping ratio * vibration period) / (3.1415926535898 * sqrt(1 - pow(structural damping ratio, 2))) )

Formula family: formula_vibration_laser_vibrometer_spot_size_working_distance_optimizer_for_modal_test_resolution

Variables

SymbolLabelRoleDescription
wavelength Laser Wavelength INPUT Laser Wavelength
working_distance Working Distance INPUT Working Distance
beam_quality_factor Beam Quality Factor (M²) INPUT Beam Quality Factor (M²)
modal_frequency Target Modal Frequency INPUT Target Modal Frequency
damping_ratio Structural Damping Ratio INPUT Structural Damping Ratio
period_of_vibration Vibration Period INPUT Vibration Period
laser_vibrometer_spot_size_and_working_distance Optimized Spot Size & Working Distance Metric OUTPUT Optimized Spot Size & Working Distance Metric
pi pi CONSTANT pi = 3.1415926535898 dimensionless

Calculation Steps

  1. Enter the laser wavelength in m.
  2. Enter the working distance in m.
  3. Enter the beam quality factor (m²) in dimensionless.
  4. Enter the target modal frequency in Hz.
  5. Enter the structural damping ratio in dimensionless.
  6. Enter the vibration period in s.
  7. Step 1: Compute optimized spot size & working distance metric.
  8. Read the optimized spot size & working distance metric (m) from the results.

Engineering Summary

Calculate Laser Vibrometer Optical Spot Size and Working Distance Optimizer for Modal Test Resolution

Frequently Asked Questions

What does this calculator calculate?

The Laser Vibrometer Optical Spot Size and Working Distance Optimizer for Modal Test Resolution Calculator estimates Optimized Spot Size & Working Distance Metric based on the input parameters you provide

Why is laser wavelength important in this calculation?

laser wavelength is directly proportional to optimized spot size & working distance metric. When you enter laser wavelength in m, the calculator uses it in the engineering formula to compute the output

How should I interpret the result optimized spot size & working distance metric?

The calculator outputs optimized spot size & working distance metric in m. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Laser Wavelength (m), Working Distance (m), Beam Quality Factor (M²) (dimensionless), Target Modal Frequency (Hz), Structural Damping Ratio (dimensionless), Vibration Period (s). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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