Abstract

A novel one-beam interferometer based on beam folding is described. The device resembles a Mach–Zehnder interferometer in which the two arms are located together in one collimated beam. Different halves of the same beam interfere with the help of a mirror—with its reflecting surface along the axis of the optical system—placed near the focal plane of the imaging lens. Phase-delay control is achieved by application of an electrical potential to a Pockels cell, which permits the use of techniques of phase-stepping interferometry.

© 2002 Optical Society of America

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References

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  1. M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, London, 1989), Chap. 7.
  2. R. Smartt, W. Steel, “Theory and applications of the point diffraction interferometer,” in Proceedings of the ICO Conference on Optical Methods in Science and Industrial Measurements, Jpn. J. Appl. Phys. Suppl. 14-1, 351–356 (1975).
  3. J. A. Ferrari, E. M. Frins, D. Perciante, A. Dubra, “Robust one-beam interferometer with phase-delay control,” Opt. Lett. 24, 1272–1274 (1999).
    [CrossRef]

1999 (1)

1975 (1)

R. Smartt, W. Steel, “Theory and applications of the point diffraction interferometer,” in Proceedings of the ICO Conference on Optical Methods in Science and Industrial Measurements, Jpn. J. Appl. Phys. Suppl. 14-1, 351–356 (1975).

Born, M.

M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, London, 1989), Chap. 7.

Dubra, A.

Ferrari, J. A.

Frins, E. M.

Perciante, D.

Smartt, R.

R. Smartt, W. Steel, “Theory and applications of the point diffraction interferometer,” in Proceedings of the ICO Conference on Optical Methods in Science and Industrial Measurements, Jpn. J. Appl. Phys. Suppl. 14-1, 351–356 (1975).

Steel, W.

R. Smartt, W. Steel, “Theory and applications of the point diffraction interferometer,” in Proceedings of the ICO Conference on Optical Methods in Science and Industrial Measurements, Jpn. J. Appl. Phys. Suppl. 14-1, 351–356 (1975).

Wolf, E.

M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, London, 1989), Chap. 7.

Opt. Lett. (1)

Proceedings of the ICO Conference on Optical Methods in Science and Industrial Measurements (1)

R. Smartt, W. Steel, “Theory and applications of the point diffraction interferometer,” in Proceedings of the ICO Conference on Optical Methods in Science and Industrial Measurements, Jpn. J. Appl. Phys. Suppl. 14-1, 351–356 (1975).

Other (1)

M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, London, 1989), Chap. 7.

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Figures (2)

Fig. 1
Fig. 1

(a) Schematic description of the proposed interferometer: L, polarized He–Ne laser; PC, Pockels cell with driver PG; SF, spatial filter; PO, transparent phase object; HW, half-wave plate; L2, lens with focal point FP; P, polarizer; M, mirror with its reflecting surface along the optical axis of the system. (b) Mirror M creates a virtual image (FP′) of focal point FP. In the absence of a phase object, the interferogram will be just the fringes from Lloyd’s mirror.

Fig. 2
Fig. 2

Interferograms with phase delays ϕ = nπ/2 (with n = 0, 1, 2). We obtained these images by applying to the Pockels cell the electrical potentials V = 0, V ≈ 120 V, and V ≈ 240 V, respectively.

Equations (7)

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Inx, y, t=I0x, y, t1+Vx, y, tcosξx, y, t+Δn,
E=E0cosϕ/2eˆx+i sinϕ/2eˆy,
E1=E0cosϕ/2eˆx-i sinϕ/2eˆy,
E2=E0cosϕ/2eˆx+i sinϕ/2eˆyexpiξ.
E1 · p=E0/2exp-iϕ/2,
E2 · p=E0/2expiξ+ϕ/2.
Ix, y=E021+cosξx, y+ϕ.

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