• Pixel-art Waistwyn, the Gaussian Archer, on a black mug with the slogan "FOCUSED FOR ONE RAYLEIGH RANGE."

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Waistwyn, the Gaussian Archer Mug

\[z_R = \frac{\pi w_0^{2}}{\lambda}\]
Normale prijs $21.99 USD
Normale prijs Aanbiedingsprijs $21.99 USD
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Size

A Gaussian beam stays near-focused only within the Rayleigh range zR = πw₀²/λ; at z = zR its radius has grown by √2.

The joke: Every optics student knows focus is not forever: tighter waists diverge faster. The slogan on the mug reads FOCUSED FOR ONE RAYLEIGH RANGE.

Source: H. Kogelnik & T. Li, Appl. Opt. 5, 1550 (1966).

Shipping calculated at checkout by destinationMade to order, ships in ~10 days

Details

Size & material11oz · 15oz

Black glossy ceramic mug with a C-handle. Lead- and BPA-free.

  • 11oz: 0.33 l
  • 15oz: 0.44 l
CareDishwasher & microwave safe

Dishwasher safe (top rack) or hand wash. Microwave safe.

ShippingBy destination

Shipping calculated at checkout by destination.

Made to order: about 10 days of production and handling before it ships.

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

A Gaussian beam stays near-focused only within the Rayleigh range z_R = πw₀²/λ; at z = z_R its radius has grown by √2.

The joke: Every optics student knows focus is not forever: tighter waists diverge faster. The slogan on the mug reads FOCUSED FOR ONE RAYLEIGH RANGE.

Source: H. Kogelnik & T. Li, Appl. Opt. 5, 1550 (1966).

Equations

\[z_R = \frac{\pi w_0^{2}}{\lambda}\]
\[w(z_R) = \sqrt{2}\, w_0\]
Symbols
SymbolMeaningUnit
\(z_R\) Rayleigh range \(\mathrm{m}\)
\(w_0\) beam waist radius \(\mathrm{m}\)
\(\lambda\) wavelength \(\mathrm{m}\)
\(w(z)\) beam radius at distance z \(\mathrm{m}\)