quantity

intensity

Measure of light power per unit area, here reaching 89% directionality.
6 related articles · 6 formulas

Description

Intensity, in physics, refers to the power transferred per unit area, typically for waves like light or sound. It is a measure of how much energy flows through a given surface per unit time. In the context of light, intensity is often related to the brightness perceived by an eye or a detector. The seed mentions '89% directionality,' which suggests a scenario where a light source emits most of its energy in a specific direction, rather than spreading uniformly.

History

The concept of intensity has been used since the early studies of optics and acoustics, with formal definitions established in the 19th century.

How it works

For a point source emitting light uniformly, intensity decreases with the square of the distance from the source. However, if the source is directional, such as a laser or a focused beam, the intensity can remain high over longer distances because the energy is concentrated in a narrow cone. The '89% directionality' would mean that 89% of the emitted power is contained within a small solid angle, making the beam highly collimated.

In practice

Intensity measurements are fundamental in fields like astronomy (to determine stellar brightness), medical imaging (ultrasound), and telecommunications (fiber optics).

Fun fact

The intensity of sunlight at the Earth's surface is about 1,000 watts per square meter on a clear day.

Concept graph →

Formulas

$$I = I_0 e^{-\sigma n x}$$
Intensity decreases exponentially with absorber column density.
What is in the formula
IvariableTransmitted intensity — intensity watt per square metre
I_0variableIncident intensity — intensity watt per square metre
σvariableAbsorption cross-section per absorber — cross section square metre
nvariableNumber density of absorbers — number density per cubic metre
xvariablePath length through the medium — length metre
$$\alpha = \frac{I_1}{I_2}$$
Ratio of two measured intensities.
What is in the formula
αvariableRatio of intensities — intensity ratio
I_1variableFirst intensity — intensity watt per metre squared
I_2variableSecond intensity — intensity watt per metre squared
$$\Gamma_{12}(u,v) = \iint I(l,m) e^{-2\pi i (ul+vm)} dl dm$$
The correlation function is the Fourier transform of the intensity distribution.
What is in the formula
Γ₁₂variableMutual coherence function — mutual coherence function watt per metre squared
uvariableSpatial frequency in x-direction — spatial frequency cycle per metre
vvariableSpatial frequency in y-direction — spatial frequency cycle per metre
IvariableIntensity distribution over source — intensity watt per metre squared
lvariableDirection cosine in x — direction cosine
mvariableDirection cosine in y — direction cosine
∬operatorIntegration over the source plane — double integral
$$P = \frac{\sqrt{Q^2 + U^2}}{I}$$
Measure of linearly polarized intensity relative to total intensity.
What is in the formula
PvariableDegree of linear polarization — polarization degree
QvariableStokes parameter Q (linear polarization) — stokes parameter watt per square metre
UvariableStokes parameter U (linear polarization) — stokes parameter watt per square metre
IvariableTotal intensity (Stokes I) — intensity watt per square metre
√operatorTakes the square root of the sum of squares — square root
/operatorDivides the polarized magnitude by total intensity — division
$$N = \frac{I_{\text{min}}}{I_{\text{max}}}$$
Null depth is the ratio of minimum to maximum intensity.
What is in the formula
Nvariablenull depth ratio — null depth ratio
I_minvariableminimum intensity — intensity watt per square metre
I_maxvariablemaximum intensity — intensity watt per square metre
$$I \propto N^2$$
Superradiance intensity scales with the square of the number of emitters.
What is in the formula
IvariableIntensity of emitted radiation — intensity watt per metre squared
NvariableNumber of emitting particles — particle number

Related articles · 6

Cosmology2026-07-262 minarXiv:2607.23527
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The laser based on diamond converts almost half of the pump energy into bright yellow light — an efficiency of 47.7%, a record for such devices. But the main advantage is not the power, but the exceptional purity of the color: the beam is so monochromatic that it can be compared to a musical instrument playing just one note without the slightest wavering.
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