File:Airy pattern scaled.svg
Summary
| Description |
English: Airy pattern as a function of d sin θ / λ, showing the full width at half maximum and the first zero. |
| Date | |
| Source | Own work |
| Author | Edgar Bonet |
| Other versions |
All these have a scaling of the x axis based on the radius of the aperture, rather than the diameter: Airy Pattern.svg:  , FWHMofAiryDisk.png:  , Mplwp airydisk intensity scaled.svg:  , Mplwp airydisk intensity.svg:  . |
The irradiance is
- E(x) = E0 × (2 J1(π x) / (π x))2
where
- E0 is the irradiance at the center of the pattern
- x = d sin θ / λ
- d is the aperture diameter
- θ is the angle from the axis
- λ is the wavelength.
Alternatively, if the pattern is seen at the focus of a lens,
- x = r / (λ N)
- r is the distance from the center of the pattern
- N is the f-number.
This W3C-unspecified plot was created with Gnuplot.Category:Unspec SVG created with Gnuplot#00070504Airy%20pattern%20scaled.svg
Gnuplot source
#!/usr/bin/gnuplot
E(x) = (2*besj1(pi*x)/(pi*x))**2
set term svg size 640, 480 enhanced name "Airy_pattern"
set output "Airy_pattern_scaled.svg"
set bmargin 3
set xlabel "x = d sin θ / λ" offset 0, 0.2
set xrange [-3.2:3.2]
set xtics 1
set mxtics 2
set lmargin 7
set ylabel "E(x) / E_0" offset 1.6
set yrange [0:1.05]
set ytics 0.2
set mytics 2
set grid linetype 1 linecolor rgb "#cccccc"
unset key
set samples 200
set arrow 1 from -0.514, 0.5 to 0.514, 0.5 heads
set label 1 "1.029" at 0, 0.535 center
set arrow 2 from 1.22, 0.09 to 1.22, 0
set label 2 "1.22" at 1.15, 0.125
plot E(x) linewidth 2 linecolor rgb "#cc0000"
Licensing
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