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Planar (Double-Gauss) Lens
Mary

Imeundwa na

Mary

22. Septemba 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.
Kati
2 hours

Maagizo

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.

Vifaa kwa hatua hii:

Kadi nzito nyeusiKadi nzito nyeusi1 karatasi

Zana zinazohitajika:

Kisu cha kazi za mikonoKisu cha kazi za mikono
Seti ya vishikio vya lenziSeti ya vishikio vya lenzi
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.

Vifaa kwa hatua hii:

Karatasi ya gridiKaratasi ya gridi1 karatasi
Roli ya karatasi ya kufuatilia mifanoRoli ya karatasi ya kufuatilia mifano1 karatasi
Utepe wa kufunikaUtepe wa kufunika1 rolii

Zana zinazohitajika:

Tochi ya LED ya ukaguziTochi ya LED ya ukaguzi
Meza ya macho na reliMeza ya macho na reli
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.

Vifaa kwa hatua hii:

Seti ya lenzi mbonyeoSeti ya lenzi mbonyeo1 seti

Zana zinazohitajika:

Rula ya chumaRula ya chuma
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.

Zana zinazohitajika:

Rula ya chumaRula ya chuma
Tepi ya kupimiaTepi ya kupimia
5

Distortion from your widths

Inapakia daftari la 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.
Hatua 6 - Image 1

Vifaa

5

Zana Zinazohitajika

6

Blueprint zinazohusiana

Blueprint hizi zinashiriki maarifa — mbinu, vifaa au kanuni

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