Diffraction grating angles calculator

Calculate diffracted angle with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use diffracted angle to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Grating lines per mm
600
Wavelength (nm)
550
Diffraction order
1
Incident angle (degrees)
0
Diffracted angle (degrees, or evanescent order)
19.268775

Try another scenario

Grating lines per mm
660
Wavelength (nm)
550
Diffraction order
1
Incident angle (degrees)
0
Diffracted angle (degrees, or evanescent order)
21.284551
Calculation method

Calculation method

Diffracted angle (degrees, or evanescent order)

Transmission grating signed convention sin(thetaOut)=m lambda/d + sin(thetaIn).

Symbols and units
a
Grating lines per mm
b
Wavelength (nm)
c
Diffraction order
d
Incident angle (degrees)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Angles signed to common normal; reflection sign conventions differ. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Angles signed to common normal; reflection sign conventions differ.
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