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Ultrasonic Transducer Beam Divergence & Near-Field Calculator

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

Calculated Result
6.51 deg

Beam Divergence Half-Angle (theta_div)

Beam Divergence Half-Angle (theta_div)

6.51 deg

Beam Divergence Half Angle Deg

6.508714455752492

Near Field Length Mm

34.17161016949152

Wavelength Mm

1.1800000000000002

Beam Diameter At100mm Far Field

22.817936264951456

6.51 — deg

Calculation Breakdown

  1. Applied FormulaCalculates the ultrasonic sound beam divergence half-angle (Fraunhofer far field) and near-field transition length (Fresnel zone N) for circular ultrasonic transducers in nondestructive testing (NDT) and medical imaging.\sin(\theta_{\text{div}}) = 1.22 \frac{\lambda}{D} = 1.22 \frac{c}{f \cdot D}, \quad N = \frac{D^2 f}{4 c}

Transducer Beam Divergence Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.01.63.34.96.5Beam Divergence Half-Angle (theta_div)

What Is the Ultrasonic Transducer Beam Divergence & Near-Field Calculator?

The Ultrasonic Transducer Beam Divergence & Near-Field Calculator computes results using established domain formulas, verified conversion factors, and user-entered parameters.

How Does the Ultrasonic Transducer Beam Divergence & Near-Field Calculator Work?

Calculates the ultrasonic sound beam divergence half-angle (Fraunhofer far field) and near-field transition length (Fresnel zone N) for circular ultrasonic transducers in nondestructive testing (NDT) and medical imaging.

Ultrasonic Transducer Beam Divergence & Near-Field Calculator Formula & Variables

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

sin⁡(θdiv)=1.22λD=1.22cf⋅D,N=D2f4c\sin(\theta_{\text{div}}) = 1.22 \frac{\lambda}{D} = 1.22 \frac{c}{f \cdot D}, \quad N = \frac{D^2 f}{4 c}

Calculates the ultrasonic sound beam divergence half-angle (Fraunhofer far field) and near-field transition length (Fresnel zone N) for circular ultrasonic transducers in nondestructive testing (NDT) and medical imaging.

How to Use the Ultrasonic Transducer Beam Divergence & Near-Field Calculator

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

Step-by-Step Example Calculation

Ultrasonic Transducer Beam Divergence & Near-Field Calculator Example

Input Values:

frequencyMhz:5
elementDiameterMm:12.7
speedOfSoundMps:5900
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required deg.

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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