Optical measuring device

A lens system which has a built-in reference surface and which provides an emerging wavefront of variable radius of curvature useful in a Fizeau interferometer or a differential autocollimator is described. By interposing between the reference surface and the test surface a collimating lens whose distance from the reference surface can be varied, an emerging wavefront is produced whose radius of curvature can be varied from some positive value to infinity to some negative value depending on the distance of the lens from the reference surface. The improvement is particularly valuable in measuring long radius of curvature optical elements and systems.

BACKGROUND OF THE INVENTION 
1. Field of the Invention 
The present invention relates to apparatus useful for optical metrology. 
More particularly, the invention relates to a lens system which has a 
built-in reference surface and which provides an emerging wavefront of 
variable radius of curvature useful in an interferometer or differential 
autocollimator. 
2. The Prior Art 
The development of the laser has greatly expanded the utility of classical 
interferometers. The Fizeau interferometer, in particular, has become an 
extremely convenient and flexible instrument for a wide variety of optical 
metrology applications. A multiple beam spherical wavefront interferometer 
is discussed in detail in an article by Heintze et al in Applied Optics, 
Vol. 6, p. 1924, November 1967. A major difficulty arises with a spherical 
wavefront interferometer when slow, i.e., large focal ratio, elements or 
systems must be measured. In order to keep the distance between the 
article under test and the test apparatus short, the radius of curvature 
of the measurement wavefront must closely match that of the article under 
test. Therefore, the radius of curvature of the partially transmissive 
spherical reference surface must be selected to match closely that of the 
article under test. For precise optical measurements, a compact 
measurement set up is desirable both economically and technically because 
it minimizes the adverse effects of vibration and air turbulence. 
Other types of apparatus have been used to test large radius optical 
elements and systems. For example, scatter plate interferometers and 
shearing type interferometers are two prominent means. However, these 
interferometers are not only difficult to use and align, but they are 
considerably less versatile than a Fizeau interferometer. 
While these prior-art techniques are useful for some applications, they 
cannot be used in many optical metrology applications because of the 
specific, close match between the elements required to carry out the 
measurement and the parameters of the test article. To this end, a device 
is required for testing long radius of curvature optical elements and 
systems which does not require the specific, close match of expensive 
elements to the parameters of the test article. 
OBJECTS OF THE INVENTION 
It is the principal object of this invention to provide an improved means 
for measuring long radius of curvature optical elements and systems. 
STATEMENT OF THE INVENTION 
In accordance with the instant invention, I test long radius of curvature 
optical elements and systems with a Fizeau interferometer of a 
differential autocollimator using an optical measuring device in which a 
beam of collimated light is decollimated past a partially transmissive, 
partially reflective, nonrefractive reference surface, and the transmitted 
wavefront is reflected back from a test surface through the reference 
surface for comparison with the wavefront originally reflected from the 
reference surface, the improvement of which comprises placing between the 
reference surface and the test surface a collimating lens system whose 
distance from the reference surface can be varied to obtain a test 
wavefront whose effective radius of curvature can be varied to match the 
test surface from diverging for a concave test surface of long radius of 
curvature to .infin. for a flat test surface, to converging for a convex 
test surface of long radius of curvature. Preferably, the collimated light 
is decollimated with a negative decollimator and then passes through a 
nearly aplanatic, negative fused silica element with a convex, partially 
transmissive, partially reflective, non-refractive spherical reference 
surface to produce a reflected reference wavefront and a transmitted 
spherical wavefront.

DETAILED DESCRIPTION OF THE INVENTION 
Description and Explanation of the Schematic in FIG. 1 (prior art) 
FIG. 1 shows the layout of a typical Fizeau spherical wavefront 
interferometer. A light source such as a tungsten bulb, xenon bulb, 
light-emitting diode, laser diode, or other source of radiant energy, and 
most preferably a gas laser 1 provides optical energy. The output beam 2 
is focused by lens 3 to produce the converging spherical wavefront 4. 
After passing through focus, wavefront 4 is reflected by beamsplitter 5. 
The diverging spherical wavefront 6 is converted to a collimated wavefront 
8 by lens 7. Lenses 3 and 7 serve to expand the diameter of the beam 2. 
Lens 9 converts wavefront 8 to a converging spherical wavefront 10. 
Element 11 is a negative aplanatic element located in wavefront 10. 
Element 11 has a non-refractive, spherical reference surface 12 which is 
partially reflective and partially transmissive. The wavefront produced by 
the reflection of wavefront 10 from surface 12 is the reference wavefront. 
The wavefront transmitted by surface 12, wavefront 13 is the converging 
spherical test wavefront. Surface 14 is the surface under test, and it 
reflects the test wavefront 13. The interference of the reference and 
measurement wavefronts is viewed at 15. 
FIG. 1, surface 14 is not restricted to being concave as shown, and lens 9 
can be a negative lens combined with a convex reference surface 12. 
The distance between surface 12 and surface 14 is given by d = R.sub.12 
.+-. R.sub.14, where R.sub.12 is the radius of curvature of surface 12, 
R.sub.14 is the radius of curvature of surface 14, and the + or - sign is 
chosen based on the power of the surfaces. For commonly occuring aperture 
sizes and focal ratios, the distance d can be unduly large. For example, a 
4-inch aperture, f/50 sphere has a 400-inch radius of curvature. 
Furthermore, a slight change in the focal ratio, e.g., to f/55, changes 
the radius of curvature by 40 inches. Thus, the dilemma when testing slow 
elements becomes evident: either the reference element 11 closely matches 
the article under test or the distance, d, must be unduly large. 
Description and Explanation of the Schematic in FIG. 2 
FIG. 2 is a schematic of a lens system useful for testing long radius of 
curvature optical elements and systems. 
Referring to FIG. 2, the collimated beam 8 of a conventional Fizeau 
interferometer or of a differential autocollimator, enters an optical 
system which differs from the conventional. In this system, the collimated 
beam 8 is converted to a diverging wavefront 22 by a lens system 21, 
preferably consisting of two elements (L.sub.1) and (L.sub.2), in fixed 
relationship to each other, and having surfaces R.sub.1, R.sub.2, R.sub.3 
and R.sub.4 as indicated. The diverging wavefront 22 then passes through a 
lens 23 preferably made of fused silica, fixed in position relative to 
lens system 21 having a first surface R.sub.5, and a reference surface 24 
which is non-refractive, convex, spherical, partially reflective, and 
partially transmissive. The wavefront produced by the reflection of 
wavefront 22 from the reference surface 24 is the reference wavefront; the 
wavefront 25 transmitted through the reference surface 24 is a diverging 
spherical wavefront. Lens system 26 is a collimating system which converts 
the wavefront 25 to a test wavefront 27; the wavefront 27 may be 
diverging, collimated or converging, depending on the distance X.sub.2 
between the lens system 26 and reference surface 24. 
This lens system 26 preferably comprises three elements, L.sub.4, L.sub.5 
and L.sub.6 with surfaces 29, R.sub.8,, R.sub.9, R.sub.10, R.sub.11 and 
R.sub.12 all in fixed relationship to each other. However, the distance 
between the reference surface 24 and first surface 29 of the lens system 
26 can be varied either by moving the lens system 26 relative to the 
reference surface 24 or by moving the combined lens system 21 and 23 
relative to 26. I prefer to move the combined lens system 21 and 23 since 
it is a smaller package. 
The lens system 26 must, of course, be designed and manufactured to yield 
very small wavefront errors, since it is in the measurement leg after the 
reference surface 24. The design of lens 26 is further constrained by the 
requirements that it must perform over a range of conjugates and that it 
must be sufficiently insensitive to mechanical tolerance during the 
relative movement between it and the lens system comprised of 21 and 23. 
The design of such a lens system is rather straightforward, but it must be 
related to the design of the lenses 21 and 23 as well. The appropriate 
radii of curvature, axial distances and refractive indicies of the glasses 
used, can be varied to fit the general standards used by any particular 
optical manufacturer. The data on such a system as scaled for a 4-inch 
input beam, an f/5.0 diverging wavefront 25, and suitable for an accuracy 
.lambda./8 are set forth in the Table I below: 
TABLE I 
______________________________________ 
Axial distance 
between 
Element 
Surface Radii (mm) 
surfaces (mm) 
Nd 
______________________________________ 
R.sub.1 2590.3 
L.sub.1 15.0 1.4875 
R.sub.2 -232.7 
32.0 
R.sub.3 -232.7 
L.sub.2 15.0 1.7618 
R.sub.4 2590.3 
15.0 
R.sub.5 -232.7 
23 22.0 1.4585 
24 -503.5 
X 
29 .infin. 
L.sub.4 17.0 1.5168 
R.sub.8 459.3 
2.6 
R.sub.9 -541.5 
L.sub.5 19.8 1.7173 
R.sub.10 
-453.9 
10.0 
R.sub.11 
-1453.8 
L.sub.6 16.0 1.5168 
R.sub.12 
1162.0 
______________________________________ 
Nd is the index of refraction referred to the d-line of sodium. 
When the axial distance X.sub.2 between reference surface 24 and surface 
29 is 20.3 mm, the wavefront 27 has an f/No. of -50. 
Referring to FIG. 3, the schematic therein is identical with that of FIG. 
2, except that the surface 29 is placed at a distance X.sub.3 from the 
reference surface 24 such that the test wavefront 37 is collimated to 
provide for a planar test surface 38. Using the specific design detailed 
in Table I as scaled, the distance X.sub.3 is 80.1 mm. 
Referring to FIG. 4, the schematic is illustrated for a convex test surface 
48 and a converging test wavefront 47. Using the same criteria and design 
as in FIGS. 1 and 2, an f/50 test wavefront is obtained when X.sub.4 is 
139.9 mm. 
The device of this invention can be also used for example in the scanning 
differential photoelectric autocollimator described in the Hunter and 
Zanoni U.S. Patent Application Ser. No. 565525 filed on Apr. 7, 1975, now 
U.S. Pat. No. 3,977,789 issued Aug. 31, 1976. 
While the system is theoretically workable by using the diverging wavefront 
6 of FIG. 1, without the collimator 7 and the decollimator 21, such a 
scheme has mechanical and optical disadvantages, since lens 7 must be 
carefully aligned to wavefront 6. Moreover, for measurement of objects of 
small radii of curvature, it is generally desirable to operate the 
instrument without the lens system 26, in which event the collimator 7 and 
decollimator 21 are necessary. 
Obviously, the specific embodiments of the invention disclosed can be 
altered without departing from the invention, which is defined in the 
claims.