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Underwater Acoustic Sonar Array Directivity Index (DI) Calculator

Easily calculate and compute underwater acoustic sonar array directivity index (di) calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
31.45 dB

Directivity Index DI

Directivity Index DI

31.45 dB

Directivity Index Db

31.4

Acoustic Wavelength Cm

6

Horizontal Beamwidth Deg

3.8

Vertical Beamwidth Deg

6.1

31.45 — dB

Calculation Breakdown

  1. Applied FormulaComputes the acoustic Directivity Index (DI in dB) and 3dB main lobe beamwidth for underwater planar and line sonar transducer arrays.\text{DI} = 10\log_{10}\left(\frac{4\pi A}{\lambda^2}\right) = 10\log_{10}\left(\frac{4\pi A f^2}{c^2}\right)

Sonar Array Directivity Index Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.07.9162431Directivity Index DI

What Is the Underwater Acoustic Sonar Array Directivity Index (DI) Calculator?

This tool computes underwater acoustic sonar array directivity index (di) calculator with high precision arithmetic.

How Does the Underwater Acoustic Sonar Array Directivity Index (DI) Calculator Work?

Computes the acoustic Directivity Index (DI in dB) and 3dB main lobe beamwidth for underwater planar and line sonar transducer arrays.

Underwater Acoustic Sonar Array Directivity Index (DI) Calculator Formula & Variables

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

DI=10log⁡10(4πAλ2)=10log⁡10(4πAf2c2)\text{DI} = 10\log_{10}\left(\frac{4\pi A}{\lambda^2}\right) = 10\log_{10}\left(\frac{4\pi A f^2}{c^2}\right)

Computes the acoustic Directivity Index (DI in dB) and 3dB main lobe beamwidth for underwater planar and line sonar transducer arrays.

How to Use the Underwater Acoustic Sonar Array Directivity Index (DI) Calculator

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

Step-by-Step Example Calculation

Underwater Acoustic Sonar Array Directivity Index (DI) Calculator Example

Input Values:

sonarFrequencyKhz:25
arrayWidthM:0.8
arrayHeightM:0.5
soundSpeedMPerS:1500
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required dB.

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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