Depth of Field of an Ideal Lens

Load with "load dof.e", help with "help dof.e", see the user menu for snippets.

Functions for DOF, hyperfocal distance and Bokeh.

startDOF, endDOF: computes depth of field (DOF) DOF: prints ranges of DOF hyperfocal: computes hyperfocal distance bokeh: computes quality of Bokeh (blurriness at infinity)

lens: prints various parameters for a specific lens

For another calculator:

See: https://www.photopills.com/calculators/dof

function endDOF (D, L, A, c=0.03mm, ff=1, inf=NAN)

  Far limit of DOF
  
  If the lens is sharp to infinity the result will be inf.
  
  D : focussed distance in m
  L : film equivalent focal length in m
  A : film equivalent aperture (F-stop times ff)
  c=0.03mm : accepted blurriness radius
  ff=1 : form factor
  inf=NAN : default value for inifinity
  
  See: 
  startDOF (Depth of Field of an Ideal Lens)

function startDOF (D, L, A, c=0.03mm, ff=1)

  Near limit of DOF
  
  D : focussed distance in m
  L : film equivalent focal length in m
  A : film equivalent aperture (F-stop times ff)
  c=0.03mm : accepted blurriness radius
  ff=1 : form factor
  
  See: 
  endDOF (Depth of Field of an Ideal Lens)

function DOF (D:real vector, L:real vector, A:real vector,
    c:real vector=0.03mm, ff:real vector=1, inf=NAN)

  DOF interval
  
  Returns a 1x2 vector containing the bounds of the interval. If one
  of the inputs is a vector the result is a nx2 vector of interval
  bounds.
  
  >DOF(4m,[28mm,35mm,50mm,85mm],8)
  1.80512           NAN
  2.25122       17.9225
  2.90023        6.4433
  3.53967       4.59796
  
  See: 
  endDOF (Depth of Field of an Ideal Lens), 
  startDOF (Depth of Field of an Ideal Lens)

function hyperfocal (L, A, c=0.03mm, ff=1)

  Hyperfocal distance
  
  L : film equivalent focal length of the lens
  A : filrm equivalent aperture (F-stop times ff)
  c : accepted radius of blurriness
  ff : form factor
  
  The lense will be acceptably sharp from the hyperfocal distance
  divided by 2 to infinity.
  
  >hyperfocal(18mm,1.5,[2,3,8,16])
  [5.412,  3.612,  1.362,  0.687]
  
  See: 
  DOF (Depth of Field of an Ideal Lens)

function bokeh (D, L, A, ff=1)

  Computes the Bokeh
  
  Bokeh is the diameter of the circles of diffusion divided
  by the diameter of the image.

Documentation Homepage