SYSTEM AND METHOD FOR HOLOGRAPHIC IMAGING OF A SINGLE PLANE OF AN OBJECT
20240393743 ยท 2024-11-28
Inventors
Cpc classification
G02B27/58
PHYSICS
G03H2210/33
PHYSICS
G03H2001/005
PHYSICS
G03H1/0486
PHYSICS
G03H1/0443
PHYSICS
G03H1/041
PHYSICS
G03H2001/0458
PHYSICS
G03H1/0493
PHYSICS
G02B21/367
PHYSICS
G02B21/361
PHYSICS
International classification
G03H1/00
PHYSICS
G02B21/36
PHYSICS
G02B27/58
PHYSICS
Abstract
A system and method to produce a hologram of a single plane of a three dimensional object includes an electromagnetic radiation assembly to elicit electromagnetic radiation from a single plane of said object, and an assembly to direct the elicited electromagnetic radiation toward a hologram-forming assembly. The hologram-forming assembly creates a hologram that is recorded by an image capture assembly and then further processed to create maximum resolution images free of an inherent holographic artifact.
Claims
1. A holographic method for detecting interference of electromagnetic waves emitted exclusively from a single plane of a three dimensional object.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0011]
[0012]
[0013]
DETAILED DESCRIPTION OF THE DRAWINGS
[0014] With reference to the detailed discussion of the drawings, it is emphasized that the drawings and descriptions are meant to present the composition and operating principles to a sufficient degree to enable a fundamental understanding of the method and system of the invention. Thus certain details such as polarization sensitive optics and compound lens assemblies are represented in the most simplified form to present a clear and readily understood schematic, appropriate to enable one skilled in the art to appreciate the system and method.
[0015] 110 to the objective lens 101, which possess focal length f.sub.0. From the objective, the light travels a distance 111
through the objective back pupil 102 and then a further distance 112 equal to the focal length f.sub.R1 of the first relay lens 103, before reaching the first relay lens 103. The light travels a further distance 113, equal to the sum of the first relay lens focal length and the second relay lens 105 focal length f.sub.R2, before reaching the second relay lens 105. From there the light travels a further distance 114 equal to f.sub.R2 to the polarization sensitive optical assembly (PSOA) 106. It is noted that the two relay lenses comprise a 4f optical relay, which duplicates at its output plane (just before 106) the light distribution that impinged on its input plane at 102, scaled by the magnification ratio f.sub.R2/f.sub.R1. This effectively negates the distance between the objective lens back pupil and the PSOA 106 which actually creates the hologram, and is critical to ensure concentricity of the co-propagating beams produced by 106. The relay pair also contains a conjugate real image plane 104 at a distance of f.sub.R1 after the first relay lens and f.sub.R2 before the second relay lens. The PSOA 106, which possesses two polarization dependent lens functions, focuses part of the light to a focal plane 107 located a distance 115 of f.sub.d1 from the PSOA 106, and part of the light to a focal plane 109 located a distance 117 of f.sub.d2 away from 106. This is equivalent to a single lens located at the position of 106 having two focal lengths f.sub.d1 and f.sub.d2. This differential focusing procedure effectively splits the light beam coming from each object point into two co-propagating, concentric beams with different spherical wavefront curvatures. The two beams are equivalent in spatial size at a single plane known as the hologram plane 108 located a distance 116
away from 106 and the interference between the two beams is captured there as a hologram. The collected hologram is then processed computationally by well-known methods to result in the final image. It is readily understood that all conjugate image planes are at the back focal planes of 103 and 106 only in cases in which the object 100 is at the front focal plane of the objective 101, i.e.
; if
, the conjugate image planes change their location in space according to well-known laws of optics. It follows then that the plane
108 only contains perfectly size-matched beams from the objects originating in the front focal plane of 101. Objects not in that front focal plane create perfectly size matched pairs of beams at different planes after the PSOA 106. Thus perfectly overlapped holograms and subsequently maximum resolution final images can only be obtained from a single object plane at one time.
[0016] that will attain maximum possible resolution and avoid the image reversal problem as described in the background of the invention.
[0017] before encountering the objective. However the conjugate plane 300 inside the relay system is moved closer to the first relay lens 103, and the effective focal planes 301 and 303 of the PSOA 106 are moved to locations that are different distances 305 f.sub.d1 and 307 f.sub.d2 away from 106. The optimal recording plane 302 is also moved to a distance
306 away from 106. In this way a maximum resolution final image may be produced from a point away from the front focal plane of the objective, again without the image reversal problem. It is noted that analogous changes in the locations of the conjugate image planes happen in the opposite direction if the object is closer to the objective than the objective focal plane, with the difference that the conjugate image planes move further away from the first relay lens instead of closer to it. Additionally, in either case the camera need not be moved, but the optical path length may be changed by means of translating corner cube mirrors and similar optics to match the beam sizes at the detection plane.
REFERENCES CITED
U.S. Patent Documents
[0018] U.S. Pat. No. 8,009,340 B2 August 2011 Rosen [0019] U.S. Pat. No. 8,179,578 B2 May 2012 Rosen et al. [0020] U.S. Pat. No. 8,542,421 B2 September 2013 Rosen et al. [0021] U.S. Pat. No. 8,405,890 B2 March 2013 Rosen [0022] U.S. Pat. No. 6,147,798 B2 November 2000 Brooker et al.
Other Publications
[0023] Siegel et al., in Optics Express, Vol. 20, p. 19822 (2012). [0024] Jost, et al., in Annu. Rev. Mater. Res. Vol/43, pp 261-282 (2013).