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Acoustic Source Directivity Factor (Q) & Directivity Index (DI) Calculator

Easily calculate and compute acoustic source directivity factor (q) & directivity index (di) calculator with accurate equations, live formulas, and expert guidance.

On-axis radiated sound intensity.

Averaged intensity over entire 4pi sphere.

Calculated Result
9.5 dB

Directivity Index

Directivity Index

9.5 dB

Directivity Index Di Db

9.5

Directivity Factor Q

9

Radiation Pattern Classification

Highly directive acoustic beam (e.g. horn loudspeaker or parabolic reflector)

9.5 — dB

Calculation Breakdown

  1. Applied FormulaCalculates the dimensionless directivity factor (Q) and Directivity Index (DI in dB) quantifying spatial directional sound concentration from loudspeakers and industrial acoustic sources.Q = \frac{I(\theta, \psi)}{I_{\text{avg}}}, \quad \text{DI} = 10 \log_{10}(Q)

Directivity Factor (Q & DI) Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.02.44.87.19.5Directivity Index

What Is the Acoustic Source Directivity Factor (Q) & Directivity Index (DI) Calculator?

This tool computes acoustic source directivity factor (q) & directivity index (di) calculator with high precision arithmetic.

How Does the Acoustic Source Directivity Factor (Q) & Directivity Index (DI) Calculator Work?

Calculates the dimensionless directivity factor (Q) and Directivity Index (DI in dB) quantifying spatial directional sound concentration from loudspeakers and industrial acoustic sources.

Acoustic Source Directivity Factor (Q) & Directivity Index (DI) Calculator Formula & Variables

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

Q=I(θ,ψ)Iavg,DI=10log⁡10(Q)Q = \frac{I(\theta, \psi)}{I_{\text{avg}}}, \quad \text{DI} = 10 \log_{10}(Q)

Calculates the dimensionless directivity factor (Q) and Directivity Index (DI in dB) quantifying spatial directional sound concentration from loudspeakers and industrial acoustic sources.

How to Use the Acoustic Source Directivity Factor (Q) & Directivity Index (DI) Calculator

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

Step-by-Step Example Calculation

Acoustic Source Directivity Factor (Q) & Directivity Index (DI) Calculator Example

Input Values:

directionalIntensityWattsPerM2:0.045
averageSphericalIntensityWattsPerM2:0.005
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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