• Black Double Slit physics hoodie, pixel-art double-slit interference design, worn by a model, front close-up
  • Black Double Slit physics hoodie, pixel-art double-slit interference design, worn by a model, back close-up
  • Black Double Slit physics hoodie, pixel-art double-slit interference design, front view
  • Black Double Slit physics hoodie, pixel-art double-slit interference design, back view
  • Black Double Slit physics hoodie, pixel-art double-slit interference design, turning on a model
  • Black Double Slit physics hoodie, ΨP Pixelated Physics neck label
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Double Slit HoodieDARK WHERE THE PATHS DISAGREE | Pixelated Physics

Double Slit Hoodie – DARK WHERE THE PATHS DISAGREE | Pixelated Physics

$54.99 USD
$54.99 USD
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Shipping calculated at checkout. Free US shipping · $10 flat shipping outside the US.
Color
Black
Size
S–5XL
Made
To order · shipping times

Light through two narrow slits does not make two bright lines. It makes stripes. Two-slit interference: cos² fringes under a single-slit sinc² envelope. With slits 4 widths apart, every 4th bright order vanishes. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.

Color
Size

Size guideS–5XL · inches

Details

Size & fitS–5XL

Unisex Heavy Blend hoodie (Gildan 18500), classic fit.

SizeWidthLengthSleeve
S202733.5
M222834.5
L242935.5
XL263036.5
2XL283137.5
3XL303238.5
4XL323339.5
5XL343440.5

Measurements in inches. Width and length ±1 in, sleeve (from center back) ±0.75 in.

ShippingFree US

Free US shipping. $10 flat shipping outside the US.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Light through two narrow slits does not make two bright lines. It makes stripes.

Where the two paths differ by a whole number of wavelengths the waves add, and where they differ by a half they cancel. That gives the cos² fringes. Each slit also has a width, and diffraction from a single slit lays a sinc² envelope over the whole pattern.

In the art the slits sit four slit-widths apart, d = 4a. Every fourth bright fringe then lands exactly on a zero of the envelope and disappears. The gaps in the barcode are the missing orders.

Thomas Young reported interference fringes to the Royal Society in 1803, splitting a sunbeam with a thin card; the two-slit version appears in his 1807 Lectures. Sent through one photon at a time, the light still builds up the same stripes.

Dark where the paths disagree.

Equations

\[I(\theta) = I_0\cos^2\!\left(\frac{\pi d\sin\theta}{\lambda}\right)\mathrm{sinc}^2\!\left(\frac{\pi a\sin\theta}{\lambda}\right)\]
\[d\sin\theta = m\lambda \;\text{(bright)}\]
\[d = 4a\]
SymbolMeaningUnit
\(I(\theta)\) intensity on the screen at angle \theta \(\mathrm{W/m^2}\)
\(I_0\) intensity at the centre \(\mathrm{W/m^2}\)
\(d\) distance between the slit centres \(\mathrm{m}\)
\(a\) width of each slit \(\mathrm{m}\)
\(\lambda\) wavelength \(\mathrm{m}\)
\(\theta\) angle from the axis \(\mathrm{rad}\)
\(m\) order of a bright fringe \(\mathrm{1}\)
\(\mathrm{sinc}\,x\) \sin x / x \(\mathrm{1}\)

Sources

  1. Young (1804) Experiments and Calculations relative to Physical Optics, Phil. Trans. R. Soc. 94, 1
  2. Hecht, Optics, 5th ed., Ch. 9: Interference and Ch. 10: Diffraction
  3. Feynman Lectures on Physics Vol. III Ch. 1: Quantum Behavior
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