Abstract

A calculation of the fringe visibility in a laser-illuminated two-beam interferometer is presented and discussed, The laser is assumed to be oscillating in several adjacent axial modes whose intensities are determined by the Doppler-broadened emission line. An exact expression is given for the visibility as a function of path-length difference, and it is shown to be the product of an exponential envelope and a periodic function whose period is very nearly twice the length of the laser. An important special case is considered to illustrate the values of path-length difference for which the visibility is minimum. Finally, the visibility is plotted in a way which permits estimation of depth of field in holography or acceptable path mismatch in interferometry. For any laser operating in the assumed manner, calculation is simplified by the form of the equations. An example is given.

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References

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  1. T. S. Jaseja, A. Javan, and C. H. Townes, Phys. Rev. Letters 10, 165 (1963).
  2. T. Morokuma, K. F. Nefflen, T. R. Lawrence, and T. M. Klucher, J. Opt. Soc. Am. 53, 394 (1963).
  3. D. R. Herriott (private communication). See also Dr. Herriott's article in J. Opt. Soc. Am. 52, 37 (1962).
  4. R. Stark, Spectra-Physics, Inc. (private communication).
  5. A. D. Jacobson and F. J. McClung, Appl. Opt. 4, 1509 (1965).
  6. M. Born and E. Wolf, Principles of Optics (Pergamon Press, New York, 1964), 2nd ed., pp. 320–323, 506, 507.
  7. A. Javan, E. A. Ballik, and W. L. Bond, J. Opt. Soc. Am. 52, 96 (1962).
  8. K. A. Stetson and R. L. Powell, J. Opt. Soc. Am. 56, 1161 (1966).
  9. Handbook of Chemistry and Physics (Chemical Rubber Publishing Co., Cleveland, 1962), 43rd ed., p. 283.

Ballik, E. A.

A. Javan, E. A. Ballik, and W. L. Bond, J. Opt. Soc. Am. 52, 96 (1962).

Bond, W. L.

A. Javan, E. A. Ballik, and W. L. Bond, J. Opt. Soc. Am. 52, 96 (1962).

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon Press, New York, 1964), 2nd ed., pp. 320–323, 506, 507.

Herriott, D. R.

D. R. Herriott (private communication). See also Dr. Herriott's article in J. Opt. Soc. Am. 52, 37 (1962).

Jacobson, A. D.

A. D. Jacobson and F. J. McClung, Appl. Opt. 4, 1509 (1965).

Jaseja, T. S.

T. S. Jaseja, A. Javan, and C. H. Townes, Phys. Rev. Letters 10, 165 (1963).

Javan, A.

T. S. Jaseja, A. Javan, and C. H. Townes, Phys. Rev. Letters 10, 165 (1963).

A. Javan, E. A. Ballik, and W. L. Bond, J. Opt. Soc. Am. 52, 96 (1962).

Klucher, T. M.

T. Morokuma, K. F. Nefflen, T. R. Lawrence, and T. M. Klucher, J. Opt. Soc. Am. 53, 394 (1963).

Lawrence, T. R.

T. Morokuma, K. F. Nefflen, T. R. Lawrence, and T. M. Klucher, J. Opt. Soc. Am. 53, 394 (1963).

McClung, F. J.

A. D. Jacobson and F. J. McClung, Appl. Opt. 4, 1509 (1965).

Morokuma, T.

T. Morokuma, K. F. Nefflen, T. R. Lawrence, and T. M. Klucher, J. Opt. Soc. Am. 53, 394 (1963).

Nefflen, K. F.

T. Morokuma, K. F. Nefflen, T. R. Lawrence, and T. M. Klucher, J. Opt. Soc. Am. 53, 394 (1963).

Powell, R. L.

K. A. Stetson and R. L. Powell, J. Opt. Soc. Am. 56, 1161 (1966).

Stark, R.

R. Stark, Spectra-Physics, Inc. (private communication).

Stetson, K. A.

K. A. Stetson and R. L. Powell, J. Opt. Soc. Am. 56, 1161 (1966).

Townes, C. H.

T. S. Jaseja, A. Javan, and C. H. Townes, Phys. Rev. Letters 10, 165 (1963).

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon Press, New York, 1964), 2nd ed., pp. 320–323, 506, 507.

Other

T. S. Jaseja, A. Javan, and C. H. Townes, Phys. Rev. Letters 10, 165 (1963).

T. Morokuma, K. F. Nefflen, T. R. Lawrence, and T. M. Klucher, J. Opt. Soc. Am. 53, 394 (1963).

D. R. Herriott (private communication). See also Dr. Herriott's article in J. Opt. Soc. Am. 52, 37 (1962).

R. Stark, Spectra-Physics, Inc. (private communication).

A. D. Jacobson and F. J. McClung, Appl. Opt. 4, 1509 (1965).

M. Born and E. Wolf, Principles of Optics (Pergamon Press, New York, 1964), 2nd ed., pp. 320–323, 506, 507.

A. Javan, E. A. Ballik, and W. L. Bond, J. Opt. Soc. Am. 52, 96 (1962).

K. A. Stetson and R. L. Powell, J. Opt. Soc. Am. 56, 1161 (1966).

Handbook of Chemistry and Physics (Chemical Rubber Publishing Co., Cleveland, 1962), 43rd ed., p. 283.

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