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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.
중급
2 hours
안내
1
1
Make a stop
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.
이 단계의 재료:
검은 대지1 장필요한 도구:
공예용 칼
렌즈 홀더 세트2
2
Light a grid
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.
이 단계의 재료:
모눈종이1 장
패턴 트레이싱지 롤1 장
마스킹 테이프1 롤필요한 도구:
LED 점검용 손전등
광학 벤치와 레일3
3
Stop in front, then behind
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.
이 단계의 재료:
볼록 렌즈 세트1 세트필요한 도구:
강철 자4
4
Make it symmetric
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.
필요한 도구:
강철 자
줄자5
5
Distortion from your widths
Distortion from your widths
Jupyter 노트북 불러오는 중…
6
6
History & Context
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.

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