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Optical density calculator

Compare incident and transmitted light, or start from optical density or transmission to find the attenuation of a passive sample.

Calculator

Optical density
2.00000000
Apparent absorbance
2.00000000
Transmittance
1.000000%
Attenuation (dB)
20.00000000
Transmission through increasing optical density Line chart. The data table follows. 0 0 1.25 0.25 2.5 0.5 3.75 0.75 5 1 Optical density Transmission fraction
Transmission through increasing optical density data
SeriesOptical densityTransmission fraction
Transmission01
Transmission0.06250.8659643233600653
Transmission0.1250.7498942093324559
Transmission0.18750.6493816315762113
Transmission0.250.5623413251903491
Transmission0.31250.4869675251658631
Transmission0.3750.4216965034285822
Transmission0.43750.36517412725483767
Transmission0.50.31622776601683794
Transmission0.56250.27384196342643613
Transmission0.6250.23713737056616552
Transmission0.68750.2053525026457146
Transmission0.750.17782794100389226
Transmission0.81250.1539926526059492
Transmission0.8750.1333521432163324
Transmission0.93750.11547819846894582
Transmission10.1
Transmission1.06250.08659643233600653
Transmission1.1250.07498942093324558
Transmission1.18750.06493816315762113
Transmission1.250.056234132519034905
Transmission1.31250.04869675251658631
Transmission1.3750.042169650342858224
Transmission1.43750.03651741272548377
Transmission1.50.03162277660168379
Transmission1.56250.027384196342643614
Transmission1.6250.02371373705661655
Transmission1.68750.02053525026457146
Transmission1.750.01778279410038923
Transmission1.81250.01539926526059492
Transmission1.8750.01333521432163324
Transmission1.93750.011547819846894581
Transmission20.01
Transmission2.06250.008659643233600654
Transmission2.1250.007498942093324558
Transmission2.18750.006493816315762113
Transmission2.250.005623413251903491
Transmission2.31250.004869675251658631
Transmission2.3750.004216965034285823
Transmission2.43750.003651741272548377
Transmission2.50.0031622776601683794
Transmission2.56250.0027384196342643613
Transmission2.6250.0023713737056616554
Transmission2.68750.002053525026457146
Transmission2.750.0017782794100389228
Transmission2.81250.001539926526059492
Transmission2.8750.001333521432163324
Transmission2.93750.0011547819846894581
Transmission30.001
Transmission3.06250.0008659643233600654
Transmission3.1250.0007498942093324557
Transmission3.18750.0006493816315762113
Transmission3.250.0005623413251903491
Transmission3.31250.0004869675251658631
Transmission3.3750.00042169650342858224
Transmission3.43750.0003651741272548377
Transmission3.50.00031622776601683794
Transmission3.56250.0002738419634264361
Transmission3.6250.00023713737056616554
Transmission3.68750.0002053525026457146
Transmission3.750.0001778279410038923
Transmission3.81250.0001539926526059492
Transmission3.8750.0001333521432163324
Transmission3.93750.00011547819846894582
Transmission40.00009999999999999999
Transmission4.06250.00008659643233600654
Transmission4.1250.00007498942093324559
Transmission4.18750.00006493816315762113
Transmission4.250.00005623413251903491
Transmission4.31250.00004869675251658631
Transmission4.3750.00004216965034285822
Transmission4.43750.00003651741272548377
Transmission4.50.000031622776601683795
Transmission4.56250.000027384196342643615
Transmission4.6250.000023713737056616554
Transmission4.68750.000020535250264571462
Transmission4.750.00001778279410038923
Transmission4.81250.00001539926526059492
Transmission4.8750.00001333521432163324
Transmission4.93750.000011547819846894583
Transmission50.000009999999999999999

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How this calculator works

Optical density is the negative base-10 logarithm of transmittance. It adds when independent passive attenuation layers multiply their transmissions. The same ratio is often called absorbance in spectroscopy, but attenuation by reflection or scattering can make apparent absorbance differ from absorption alone. Incident and transmitted intensities must use matching measurement geometry and units.

Formula

T = I/I0; OD = -log10(T) = log10(I0/I); T = 10^(-OD); attenuation in dB = 10 OD.

Worked example

Incident intensity 100 W/m2 and transmitted intensity 1 W/m2 give T = 0.01, OD = 2 and 20 dB attenuation. OD = 1 transmits 10%.

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Frequently asked questions

Can optical density be negative?

An active gain system can give a negative log ratio. This tool is limited to passive samples with transmission at most one.

What does OD 3 mean?

It transmits 0.1% of the incident intensity under the stated measurement conditions.

Can I use this to certify laser eyewear?

No. Eyewear selection also depends on wavelength, exposure conditions and certified protection specifications.

Sources

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