Grating Density Calculator

How to Use the Calculator

1. Enter the physical length of your diffraction grating in millimeters (mm).
2. Enter the line spacing of your grating in micrometers (μm).
3. Enter the wavelength of light you will be using with the grating in nanometers (nm).
4. Click the "Calculate" button to compute the grating density.
5. The result will be displayed in lines per millimeter (lines/mm).

Understanding Grating Density

Grating density is a measure of how many lines are packed into each millimeter of a diffraction grating. It's an important parameter that affects how the grating disperses light. The formula used in this calculator is:

Density (lines/mm) = (Grating Length / Line Spacing) × (1000 / Wavelength)

For example, if you have a grating that is 25 mm long with a line spacing of 1.5 μm and you're using light with a wavelength of 500 nm, the grating density would be:

Density = (25 / 1.5) × (1000 / 500) = 33.33 lines/mm

Applications

Grating density is crucial in various applications including:

• Spectroscopy for dispersing light into its component wavelengths
• Optical instruments like monochromators and spectrographs
• Telecommunications for wavelength division multiplexing
• Harmonic generation and frequency conversion