Use this electronics calculation for a first-pass component, converter, signal, motor, or sensor estimate when the stated operating conditions and units match the device data.

Wavelength Meters (m)

Required number input.

Waist Radius Meters (m)

Required number input.

Far-field half-angle divergence of an ideal diffraction-limited Gaussian beam from wavelength and waist radius. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Half Angle Radians (rad)

The resulting half angle radians returned as a number.

• Laser output, threshold, slope efficiency, divergence, and temperature behavior depend on device structure, drive waveform, wavelength, optics, thermal control, aging, and eye-safety classification. Use the manufacturer's curves and required laser-safety controls.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check the result against the current datasheet and worst-case operating corners, then verify the circuit or measurement with simulation and bench testing where failure matters.

• Far Field Boundary

  Compute the far-field boundary of an aperture as Rf = 2 x D^2 / lambda; aperture size and wavelength must be positive.

• Microphone Directivity Index

  Compute ideal directivity index from a measured or modeled effective acoustic beam solid angle.

• ADC Quantization Error Bound

  Calculate the ideal rounding quantizer's maximum absolute error as half an ADC LSB. Assumes a uniform quantizer and input within the conversion range; offset, gain, and noise errors are excluded.