File:Airy pattern scaled.svg
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Size of this PNG preview of this SVG file: 640 × 480 pixels. Other resolutions: 320 × 240 pixels | 1,024 × 768 pixels | 1,280 × 960 pixels | 2,560 × 1,920 pixels.
Original file (SVG file, nominally 640 × 480 pixels, file size: 15 KB)
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Summary[edit]
| 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.
Gnuplot source[edit]
#!/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[edit]
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:04, 2 November 2015 | | 640 × 480 (15 KB) | Edgar.bonet (talk | contribs) | User created page with UploadWizard |
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