Diagonal Pixel Resolution

The Diagonal Pixel Resolution calculator compute the diagonal pixel resolution based on the width resolution and the height resolution of a screen.

INSTRUCTIONS: Choose units and enter the following:

• (w_p) Width Resolution in pixels
• (h_p) Height Resolution in pixels

Diagonal Pixel Resolution (d_p):  The calculator returns the diagonal pixel resolution in pixels, and the pixilated area in square centimeters.  However, these can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The Diagonal Pixel Resolution is used in calculating the Pixels Per Inch calculation.  The formula for diagonal pixel resolution is:

`d_p=sqrt(w_p^2+h_p^2`

where:

• d_p = Diagonal Pixel Resolution
• w_p  = width resolution in pixels
• h_p = height resolution in pixels

Optics and Imagery Calculators

• Snell's Law               `(sin theta_t)/(sin theta_i) = v_2 / v_1 = n_1/n_2` 
  • (θ_i) Angle of Transmission
  • (θ_t) Angle of Incidence
  • (n₁) Refractive Index of Medium 1
  • (n₂) Refractive Index of Medium 2
  • (θ_c) Critical Angle: Uses Snell's law to compute the critical angle based on the Refraction Indices between two mediums.
• Lens Maker's Equation         `f = [(n_"lens"/n_"medium" - 1)(1/r_1 - 1/r_2)]^-1`
  • (f) focal length of the lens
  • (n_lens) Index of refraction of lens
  • (n_medium) Index of refraction of the material surrounding lens.
  • (r₁) Radius of lens curvature of the side nearest the "object" ( the source of the light rays).
  • (r₂) Radius of lens curvature of the side farthest from the object
• Resolving Power of a Telescope    `α = 2.06 x 10^5 ( λ / D )`
• Magnification of a Telescope          `M = F_p "/" F_e`
• Diagonal Pixel Resolution
• Pixels Per Inch
• Real Image from Converging Mirror

References

Wikipedia(https://en.wikipedia.org/wiki/Pixel_density)