Plano-Convex Lens¶

In [14]:

from math import inf

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from optics import thick_lens_formula

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###                        nd    n_air     ROC1  ROC2     t
pcx = thick_lens_formula(1.5168,     1,  25.943,  inf, 6.321)

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# Effective Focal Length
pcx.EFL

Out[17]:

$\displaystyle 50.1993034055728$

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# Back Focal Length
pcx.BFL

Out[18]:

$\displaystyle 46.0319774562057$

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# Position of the second Principal Plane
pcx.h2

Out[19]:

$\displaystyle -4.16732594936709$

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# Separation between Principal Planes
pcx.Zp

Out[20]:

$\displaystyle 2.15367405063291$

F-Number, Numerical Aperture, Minimum Spot Size¶

The F/# number is defined as the ratio between the EFL and the clear aperture:

F# = EFL/CA

and the NA numerical aperture (NA) as 1/ 2*(F#)

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NA=1/(2*1.9)

In [1]:

from optics import minimum_spot_size

In [4]:

minimum_spot_size(589e-9,NA)

Out[4]:

1.406302535452935e-05

Estimated Focal Spot Radius - Spherical Aberration [2] = $\: (0.0335 \:\it f) \:/\: F_n^3 = 256 \:\mu m $,

where $F_n$ the F-number = $ 1.9 $

In [5]:

from optics import estimated_focal_spot_radius

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estimated_focal_spot_radius(50.3,1.9)

Out[6]:

0.25667006852310836

The range where the focal spot size is approximately constant

In [7]:

from optics import DOF

In [8]:

DOF(589e-9,1.9)

Out[8]:

8.50516e-06

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