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Planar (Double-Gauss) Lens
Mary

Creado por

Mary

22. septiembre 2026FI
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Planar (Double-Gauss) Lens

Carl Friedrich Gauss had designed a telescope objective of two air-spaced lenses - a crown meniscus and a flint lens with differently curved facing surfaces - that corrected spherical aberration for two colours at once. Paul Rudolph at Zeiss turned it into a camera lens: two such groups placed symmetrically either side of the stop, each group achromatised with a cemented pair of glasses of nearly the same refractive index but different dispersion. **US 583,336**, "Object-glass", Rudolph, assigned to Carl Zeiss, filed 1. February 1897, granted 25. May 1897. Descendants of this double-Gauss layout became the standard fast normal lens for most of the twentieth century. **You test what the symmetry buys**: a grid imaged through a single lens with the stop in front, with it behind, and through a symmetric pair with the stop in the middle.
Intermedio
2 hours

Instrucciones

1

Make a stop

Cut a 60 mm disc of black card with a 6 mm round hole in its centre. Mount it in a lens holder.

Materiales para este paso:

Cartulina negraCartulina negra1 hoja

Herramientas necesarias:

Cúter de precisiónCúter de precisión
Juego de portalentesJuego de portalentes
2

Light a grid

Tape graph paper over a torch or a bright window 1 m from the bench. Tracing paper on a holder is the screen.

Materiales para este paso:

Papel milimetradoPapel milimetrado1 hoja
Rollo de papel de calco para patronesRollo de papel de calco para patrones1 hoja
Cinta de carroceroCinta de carrocero1 rollo

Herramientas necesarias:

Linterna LED de inspecciónLinterna LED de inspección
Banco y raíl ópticoBanco y raíl óptico
3

Stop in front, then behind

One 100 mm convex lens with the stop 25 mm in front of it: focus the grid and measure the width of the middle row and the top row across the same squares. Move the stop 25 mm behind the lens and measure again.

Materiales para este paso:

Juego de lentes convergentesJuego de lentes convergentes1 juego

Herramientas necesarias:

Regla de aceroRegla de acero
4

Make it symmetric

Add a second identical lens so the stop sits exactly midway between them, 25 mm each side. Refocus and measure the same two widths.

Herramientas necesarias:

Regla de aceroRegla de acero
Cinta métricaCinta métrica
5

Distortion from your widths

Cargando el cuaderno de Jupyter…
6

History & Context

**What the patent specifies:** Gauss-type objectives made anastigmatic and achromatised by cemented components of nearly equal refractive index but different dispersion, used as a doublet about a central stop. **Modern build (derived):** two identical stock lenses about a card stop. The Planar was too prone to flare with uncoated glass; once anti-reflection coatings arrived, double-Gauss lenses became the classic 50 mm f/2 and faster. Its limits: many air-glass surfaces, and a design that needs careful glass choice to go wide.
Paso 6 - Image 1

Materiales

5

Herramientas requeridas

6

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