215f9c56-53f5-4e21-9f5b-d34d3b73b0ed 18 3 5 decimal

&[DATE] &[TIME] - &[FILENAME]

A 10 : (matrix mask ≡ R 1 : (radius center ≡ d 4 : (slit width ≡ α 16 : (≡ size 51 : (canvas size ≡ 51 line

You need that one for scaling grayscale image M lo hi Scale hi lo - (M M Min - M Max M Min - / (* lo + :

outer holes position ii 0 A range : x ii 0 * 1 + : y ii 0 * : 31 line

Coordinates 
space wave function k 0 size range : xx A R * - 2 A * k * size / + vectorize : yy A R * - 2 A * k * size / + vectorize : 31 line

Position wave
function Δ A : ii 0 size range : px Δ - 2 Δ * ii * size / + : py Δ - 2 Δ * ii * size / + : 41 line

t0 1 time :

The 'mask pattern of the space wave function xx yy Ψ 1 A sqrt / 1 d sqrt / xx x m el d α / - (≥ (xx x m el d α / + ≤ (* yy y m el d 2 / - (≥ (* yy y m el d 2 / + ≤ (* 0 cases m 1 A sum 11 line * :

Display mask m 1 size range n 1 size range M m 1 - n 1 - el xx m el yy n el Ψ abs (2^eval : for for

a x m el d α / - (≡ b x m el d α / + (≡ c y m el d 2 / - (≡ d y m el d 2 / + (≡ 14 mat

Optimiz => SYMBOLIC ... a bit faster px py Ψ 12 π * d * A sqrt * / i x m el d α / + (* px * - exp i x m el d α / - (* px * - exp - (i y m el d 2 / + (* py * - exp - i y m el d 2 / - (* py * - exp + (* px py * / m 1 A sum 11 line * :

Optimiz => Numeric P m 1 size range n 1 size range Fo m 1 - n 1 - el px m el py n el Ψ abs (2^eval : for for Fo 21 line :

P P : slit P 0255 Scale : 21 sys

M M 0255 Scale :

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Mask pattern

M 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

Diffraction

slit

Fourier Quantum

Adapted from Mathcad 11, mathengjmg [web site].

Written permission from Frank Rioux.

http://www.users.csbsju.edu/~frioux/workinprogress.html

]]>

1 time t0 - min 2.5

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 slit

0.027 0 0.002 0.039 0.002 0.005 0.053 0.004 0.005 33 mat

0.095 0.012 0.007 0.073 0.008 0.004 0.054 0.005 0.0062 33 mat

m 1 size range n 1 size range Fo m n el px m el py n el Ψ abs (2^eval ≡ for for Fo 21 line

Dead style

Diagonal matrix NOT symmetric

0 0.003 0.052 0.002 0.006 0.071 0.005 0.01 0.093 33 mat

0.093 0.01 0.005 0.071 0.006 0.002 0.052 0.003 033 mat

m 1 size range n 1 size range Fo m 1 - n 1 - el px m el py n el Ψ abs (2^eval ≡ for for Fo 21 line

Dead style

Diagonal matrix symmetric

0.093 0.01 0.005 0.071 0.006 0.002 0.052 0.003 033 mat