Laser Energy Density (Flux) Calculator

Enter the basic beam parameters of your laser, and our tool will instantly calculate its energy density.

Prepare the calculations

Laser Type

Beam Profile

Beam Shape

Known Parameter

Parameter Settings

Calculation Results

Beam Area

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Energy per Pulse

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Energy Density

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How does the Laser Energy Density Calculator work?

In pulsed lasers, the beam is divided into multiple emission peaks. The energy values of all these pulses are discrete. Similar to the calculation of power density, the average energy density is equivalent to the total energy of each pulse divided by the beam size on a given surface. Conversely, if you know the average power of the laser and the speed at which the pulses are emitted, you can determine the energy of each pulse. From this, its energy density or flux can be calculated. Considering this value is very important because although the average power of the laser is low, the energy of each pulse may be too high for a specific target to withstand. Therefore, each pulse may damage the material.

Energy Density Formulas

These formulas describe the behavior of theoretically flat-top or perfect Gaussian laser beams. Therefore, they represent approximations of the values obtained under actual conditions. Additionally, there are multiple methods for measuring the diameter of a Gaussian beam. The main reason is that, theoretically, its value is only zero when the radius reaches infinity. Therefore, the diameter of the beam would be infinite. For this reason, we have chosen the method of measurement using the 1/e² parameter. At this point, the beam diameter is approximately 1.699 times the full diameter measured at half the maximum of the Gaussian function (FWHM). At 1/e², it accounts for approximately 86.5% of the total power. It should be noted that for flat-top beams, these formulas can be used as normal, but for Gaussian beams, the right-hand side of these formulas needs to be multiplied by a factor of 2.

\( \text{Energy density} \left(\frac{J}{cm^2}\right) = \frac{\text{Average power}(W)}{\text{Repetition rate}(Hz) \times \text{Beam area}(cm^2)} \)
\( \text{Energy density} \left(\frac{J}{cm^2}\right) = \frac{\text{Energy per pulse}(J)}{\text{Beam area}(cm^2)} \)

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