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Ultrasonic Transducer Beam Divergence Angle & Near-Field Distance (N) Calculator

Easily calculate and compute ultrasonic transducer beam divergence angle & near-field distance (n) calculator with accurate equations, live formulas, and expert guidance.

Circular piezo element diameter (e.g. 0.5" = 12.7 mm).

NDT frequency (e.g. 2.25, 5.0, 10.0 MHz).

Longitudinal velocity in material (Carbon steel ≈ 5920 m/s; Aluminum ≈ 6320 m/s; Water ≈ 1480 m/s).

Calculated Result
34.1 mm

Near-Field (N)

Near-Field (N)

34.1 mm

Near Field Distance Fresnel Mm

34.1

Beam Divergence Half Angle Deg

6.5

Full Beam Spread Angle Deg

13.1

Acoustic Wavelength Mm

1.18

34.1 — mm

Calculation Breakdown

  1. Applied FormulaCalculates the Fresnel near-field transition distance (N in mm) and Fraunhofer far-field beam divergence half-angle (θ) for non-destructive testing (NDT) ultrasonic transducers.N = \frac{D^2}{4\lambda}, \quad \sin\theta = 1.22 \frac{\lambda}{D}

Ultrasonic Beam & Near-Field Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.08.5172634Near-Field (N)

What Is the Ultrasonic Transducer Beam Divergence Angle & Near-Field Distance (N) Calculator?

This tool computes ultrasonic transducer beam divergence angle & near-field distance (n) calculator with high precision arithmetic.

How Does the Ultrasonic Transducer Beam Divergence Angle & Near-Field Distance (N) Calculator Work?

Calculates the Fresnel near-field transition distance (N in mm) and Fraunhofer far-field beam divergence half-angle (θ) for non-destructive testing (NDT) ultrasonic transducers.

Ultrasonic Transducer Beam Divergence Angle & Near-Field Distance (N) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

N=D24λ,sin⁡θ=1.22λDN = \frac{D^2}{4\lambda}, \quad \sin\theta = 1.22 \frac{\lambda}{D}

Calculates the Fresnel near-field transition distance (N in mm) and Fraunhofer far-field beam divergence half-angle (θ) for non-destructive testing (NDT) ultrasonic transducers.

How to Use the Ultrasonic Transducer Beam Divergence Angle & Near-Field Distance (N) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Ultrasonic Transducer Beam Divergence Angle & Near-Field Distance (N) Calculator Example

Input Values:

transducerDiameterMm:12.7
ultrasonicFrequencyMhz:5
mediumSoundVelocityMPerSec:5920
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required mm.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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