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The Twyman-Green Interferometer
Emma

Autor

Emma

30. sierpień 2026SE
23
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The Twyman-Green Interferometer

Frank Twyman and A. Green patented one change to the Michelson in 1916 and turned a physics instrument into a production tool. Illuminate it with a COLLIMATED beam — a plane wave rather than a point source — and put the optic you want to test in one arm, with a mirror behind it to send the light back through. A perfect optic returns the plane wave unchanged and the fringes are dead straight. A real one returns a wavefront with its own errors printed into it, and the fringes bend by exactly that much. The pattern is a contour map of the optic's error, in steps of half a wavelength, and because the light passes through twice the error is doubled and therefore easier to see. The Fizeau wedge of blueprint 3 already maps a surface, and does it more cheaply. What it cannot do is test anything that is not a flat you can lay a reference against — a cemented doublet, a prism, a whole telescope. Moving the optic into an ARM of an interferometer removes that constraint completely, at the cost of a collimator and about two orders of magnitude in money. It also produces the one number an optical shop can put on a certificate: peak-to-valley wavefront error, against the quarter-wave criterion below which an optic is as good as its aperture allows and polishing further buys nothing at all.
Zaawansowany
4 hours

Instrukcje

1

Collimate, then insert the optic

Start from the Michelson of blueprint 4. Expand the laser through a short-focus lens and re-collimate it with a longer one, so the beam leaves as a wide plane wave — check by confirming the spot does not change size across three metres. Put the lens under test in one arm with a front-surface mirror behind it, positioned so the light comes back on itself. Re-find the fringes.

Materiały do tego kroku:

Plano-Convex Lens Set (Assorted)Plano-Convex Lens Set (Assorted)1 sztuka
Front-Surface Mirror (50mm)Front-Surface Mirror (50mm)1 sztuka
Beam Splitter CubeBeam Splitter Cube1 sztuka

Potrzebne narzędzia:

Optical Bench KitOptical Bench Kit
Laser PointerLaser Pointer
Laser Safety GlassesLaser Safety Glasses
Steel RuleSteel Rule
2

Null the tilt and read the bow

Adjust the reference mirror until the fringes are as wide and as straight as you can make them. That removes tilt and defocus, which are alignment rather than optic error. Photograph the pattern. As in blueprint 3, measure the fringe spacing and the greatest departure of a fringe from straight, and divide. Test the same lens turned through ninety degrees: astigmatism shows up as a bow that rotates with the optic, and mounting strain as one that does not.

Potrzebne narzędzia:

Desktop ComputerDesktop Computer
Steel RuleSteel Rule
3

Wavefront error, Rayleigh, Strehl

Wczytywanie notatnika Jupyter…

Potrzebne narzędzia:

Desktop ComputerDesktop Computer
4

Compendium: what the fringes cannot tell you

TILT AND DEFOCUS ARE NOT ERRORS. Straight evenly spaced fringes mean tilt; circular ones mean the return mirror is at the wrong distance. Both are how you SET THE THING UP and both are removed before anything is measured, which is why a Twyman-Green result is always quoted after subtracting them. Confusing an alignment fringe pattern with an optic's error is the classic beginner's result, and it always reads far worse than the optic deserves. THE SIGN AMBIGUITY, AND HOW THE MODERN INSTRUMENT ESCAPES IT. A single fringe pattern cannot tell a bump from a dip: both bend the fringes the same way. Traditionally you resolved it by introducing a known tilt and watching which way the bow moved. A modern phase-shifting interferometer instead steps the reference mirror through a fraction of a wavelength with a piezo, captures several frames, and computes the phase at every pixel unambiguously — which is how the same 1916 layout now delivers a full surface map to a hundredth of a wave rather than a photograph to be interpreted by eye.

Materiały

3

Wymagane narzędzia

5

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