Abstract

It is experimentally shown that the diffuse illumination in holographic interferometry influences the visibility function of the fringes and, as a result, the fringe contrast depends on the fringe order. This property can be applied to identification of the local minima of fringe order in double-exposure holographic interferometry. The method has been used in identifying the nodal pattern of a singer’s skin vibrations in double-pulse holographic interferometry.

© 1985 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. Pawluczyk, Z. Kraska, Z. Pawlowski, “Holographic Vibration Analysis of the Frontal Part of the Human Neck During Singing,” in Optics in Biomedical Sciences, G. von Bally, P. Greguss, Eds. (Springer, Berlin, 1982), pp. 131–133.
  2. R. Pawluczyk, Z. Kraska, Z. Pawlowski, “Holographic Investigation of Skin Vibrations,” Appl. Opt. 211, 759 (1982).
    [CrossRef]
  3. Z. Pawlowski, R. Pawluczyk, Z. Kraska, “Epiphysis Vibrations of Singers Studied by Holographic Interferometry,” paper presented at SMAC-83 Stockholm Music and Acoustic Conference, Sweden, 28 July–1 Aug. 1983.
  4. R. Pawluczky, Z. Kraska, “Diffuse Illumination in Holographic Interferometry of Living Objects,” in Ref. 1.
  5. M. J. Matczak: “Interpretation of Holographic Interferograms Using the Scalar Diffraction Theory,” paper presented at Seventh SESA International Conference on Experimental Stress Analysis, Haifa, Israel, (Aug. 1982).
  6. M. J. Matczak: “Fringe Visibility Method as a New Method of Holographic Interferograms Interpretation,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 163 (1982).
  7. M. J. Matczak, “Diffractional Description of Interference Image Formation and Its Consequences in Holographic Interferometry,” paper presented at EOC-83 European Optical Conference on Optics in Science and Technology, Rydzyna, Poland, 30 May–4 June 1983.
  8. Z. Kraska, R. Pawluczyk, M. J. Matczak: “Identification of the Local Minima of the Fringes Order in Holographic Interferometry,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 206 (1982).
  9. M. J. Matczak, R. Pawluczyk, Z. Kraska, “Diffuse Illumination in Holographic Interferometry,” Proc. Soc. Photo.-Opt. Instrum. Eng. 370, 216 (1982).
  10. C. M. Vest, Holographic Interferometry (Wiley, New York, 1978).
  11. W. Schumann, M. Dubas: Holographic Interferometry (Springer, Berlin, 1979).
  12. Yu. I. Ostrovskii, M. M. Butusov, G. V. Ostrovskaja, Holographic Interferometry (Nauka, Moscow, 1977), in Russian.
  13. H. J. Caulfield, Ed., Handbook of Optical Holography (Academic, New York, 1979).
  14. M. Pluta, Ed., Optical Holography (PWN, Warsaw, 1980), in Polish.
  15. M. R. Wall, “Zero Motion Fringe Identification,” paper presented at International Symposium on Applications of Holography, Besancon, France, 6–11 July 1970.
  16. J. C. Dainty, Ed., Laser Speckle and Related Phenomena (Springer, Berlin, 1975).

1982 (4)

R. Pawluczyk, Z. Kraska, Z. Pawlowski, “Holographic Investigation of Skin Vibrations,” Appl. Opt. 211, 759 (1982).
[CrossRef]

M. J. Matczak: “Fringe Visibility Method as a New Method of Holographic Interferograms Interpretation,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 163 (1982).

Z. Kraska, R. Pawluczyk, M. J. Matczak: “Identification of the Local Minima of the Fringes Order in Holographic Interferometry,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 206 (1982).

M. J. Matczak, R. Pawluczyk, Z. Kraska, “Diffuse Illumination in Holographic Interferometry,” Proc. Soc. Photo.-Opt. Instrum. Eng. 370, 216 (1982).

Butusov, M. M.

Yu. I. Ostrovskii, M. M. Butusov, G. V. Ostrovskaja, Holographic Interferometry (Nauka, Moscow, 1977), in Russian.

Dubas, M.

W. Schumann, M. Dubas: Holographic Interferometry (Springer, Berlin, 1979).

Kraska, Z.

M. J. Matczak, R. Pawluczyk, Z. Kraska, “Diffuse Illumination in Holographic Interferometry,” Proc. Soc. Photo.-Opt. Instrum. Eng. 370, 216 (1982).

R. Pawluczyk, Z. Kraska, Z. Pawlowski, “Holographic Investigation of Skin Vibrations,” Appl. Opt. 211, 759 (1982).
[CrossRef]

Z. Kraska, R. Pawluczyk, M. J. Matczak: “Identification of the Local Minima of the Fringes Order in Holographic Interferometry,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 206 (1982).

R. Pawluczky, Z. Kraska, “Diffuse Illumination in Holographic Interferometry of Living Objects,” in Ref. 1.

R. Pawluczyk, Z. Kraska, Z. Pawlowski, “Holographic Vibration Analysis of the Frontal Part of the Human Neck During Singing,” in Optics in Biomedical Sciences, G. von Bally, P. Greguss, Eds. (Springer, Berlin, 1982), pp. 131–133.

Z. Pawlowski, R. Pawluczyk, Z. Kraska, “Epiphysis Vibrations of Singers Studied by Holographic Interferometry,” paper presented at SMAC-83 Stockholm Music and Acoustic Conference, Sweden, 28 July–1 Aug. 1983.

Matczak, M. J.

M. J. Matczak: “Fringe Visibility Method as a New Method of Holographic Interferograms Interpretation,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 163 (1982).

Z. Kraska, R. Pawluczyk, M. J. Matczak: “Identification of the Local Minima of the Fringes Order in Holographic Interferometry,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 206 (1982).

M. J. Matczak, R. Pawluczyk, Z. Kraska, “Diffuse Illumination in Holographic Interferometry,” Proc. Soc. Photo.-Opt. Instrum. Eng. 370, 216 (1982).

M. J. Matczak, “Diffractional Description of Interference Image Formation and Its Consequences in Holographic Interferometry,” paper presented at EOC-83 European Optical Conference on Optics in Science and Technology, Rydzyna, Poland, 30 May–4 June 1983.

M. J. Matczak: “Interpretation of Holographic Interferograms Using the Scalar Diffraction Theory,” paper presented at Seventh SESA International Conference on Experimental Stress Analysis, Haifa, Israel, (Aug. 1982).

Ostrovskaja, G. V.

Yu. I. Ostrovskii, M. M. Butusov, G. V. Ostrovskaja, Holographic Interferometry (Nauka, Moscow, 1977), in Russian.

Ostrovskii, Yu. I.

Yu. I. Ostrovskii, M. M. Butusov, G. V. Ostrovskaja, Holographic Interferometry (Nauka, Moscow, 1977), in Russian.

Pawlowski, Z.

R. Pawluczyk, Z. Kraska, Z. Pawlowski, “Holographic Investigation of Skin Vibrations,” Appl. Opt. 211, 759 (1982).
[CrossRef]

Z. Pawlowski, R. Pawluczyk, Z. Kraska, “Epiphysis Vibrations of Singers Studied by Holographic Interferometry,” paper presented at SMAC-83 Stockholm Music and Acoustic Conference, Sweden, 28 July–1 Aug. 1983.

R. Pawluczyk, Z. Kraska, Z. Pawlowski, “Holographic Vibration Analysis of the Frontal Part of the Human Neck During Singing,” in Optics in Biomedical Sciences, G. von Bally, P. Greguss, Eds. (Springer, Berlin, 1982), pp. 131–133.

Pawluczky, R.

R. Pawluczky, Z. Kraska, “Diffuse Illumination in Holographic Interferometry of Living Objects,” in Ref. 1.

Pawluczyk, R.

R. Pawluczyk, Z. Kraska, Z. Pawlowski, “Holographic Investigation of Skin Vibrations,” Appl. Opt. 211, 759 (1982).
[CrossRef]

M. J. Matczak, R. Pawluczyk, Z. Kraska, “Diffuse Illumination in Holographic Interferometry,” Proc. Soc. Photo.-Opt. Instrum. Eng. 370, 216 (1982).

Z. Kraska, R. Pawluczyk, M. J. Matczak: “Identification of the Local Minima of the Fringes Order in Holographic Interferometry,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 206 (1982).

Z. Pawlowski, R. Pawluczyk, Z. Kraska, “Epiphysis Vibrations of Singers Studied by Holographic Interferometry,” paper presented at SMAC-83 Stockholm Music and Acoustic Conference, Sweden, 28 July–1 Aug. 1983.

R. Pawluczyk, Z. Kraska, Z. Pawlowski, “Holographic Vibration Analysis of the Frontal Part of the Human Neck During Singing,” in Optics in Biomedical Sciences, G. von Bally, P. Greguss, Eds. (Springer, Berlin, 1982), pp. 131–133.

Schumann, W.

W. Schumann, M. Dubas: Holographic Interferometry (Springer, Berlin, 1979).

Vest, C. M.

C. M. Vest, Holographic Interferometry (Wiley, New York, 1978).

Wall, M. R.

M. R. Wall, “Zero Motion Fringe Identification,” paper presented at International Symposium on Applications of Holography, Besancon, France, 6–11 July 1970.

Appl. Opt. (1)

R. Pawluczyk, Z. Kraska, Z. Pawlowski, “Holographic Investigation of Skin Vibrations,” Appl. Opt. 211, 759 (1982).
[CrossRef]

Proc. Soc. Photo-Opt. Instrum. Eng. (2)

M. J. Matczak: “Fringe Visibility Method as a New Method of Holographic Interferograms Interpretation,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 163 (1982).

Z. Kraska, R. Pawluczyk, M. J. Matczak: “Identification of the Local Minima of the Fringes Order in Holographic Interferometry,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 206 (1982).

Proc. Soc. Photo.-Opt. Instrum. Eng. (1)

M. J. Matczak, R. Pawluczyk, Z. Kraska, “Diffuse Illumination in Holographic Interferometry,” Proc. Soc. Photo.-Opt. Instrum. Eng. 370, 216 (1982).

Other (12)

C. M. Vest, Holographic Interferometry (Wiley, New York, 1978).

W. Schumann, M. Dubas: Holographic Interferometry (Springer, Berlin, 1979).

Yu. I. Ostrovskii, M. M. Butusov, G. V. Ostrovskaja, Holographic Interferometry (Nauka, Moscow, 1977), in Russian.

H. J. Caulfield, Ed., Handbook of Optical Holography (Academic, New York, 1979).

M. Pluta, Ed., Optical Holography (PWN, Warsaw, 1980), in Polish.

M. R. Wall, “Zero Motion Fringe Identification,” paper presented at International Symposium on Applications of Holography, Besancon, France, 6–11 July 1970.

J. C. Dainty, Ed., Laser Speckle and Related Phenomena (Springer, Berlin, 1975).

M. J. Matczak, “Diffractional Description of Interference Image Formation and Its Consequences in Holographic Interferometry,” paper presented at EOC-83 European Optical Conference on Optics in Science and Technology, Rydzyna, Poland, 30 May–4 June 1983.

R. Pawluczyk, Z. Kraska, Z. Pawlowski, “Holographic Vibration Analysis of the Frontal Part of the Human Neck During Singing,” in Optics in Biomedical Sciences, G. von Bally, P. Greguss, Eds. (Springer, Berlin, 1982), pp. 131–133.

Z. Pawlowski, R. Pawluczyk, Z. Kraska, “Epiphysis Vibrations of Singers Studied by Holographic Interferometry,” paper presented at SMAC-83 Stockholm Music and Acoustic Conference, Sweden, 28 July–1 Aug. 1983.

R. Pawluczky, Z. Kraska, “Diffuse Illumination in Holographic Interferometry of Living Objects,” in Ref. 1.

M. J. Matczak: “Interpretation of Holographic Interferograms Using the Scalar Diffraction Theory,” paper presented at Seventh SESA International Conference on Experimental Stress Analysis, Haifa, Israel, (Aug. 1982).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (10)

Fig. 1
Fig. 1

Coordinate system and geometry of the holographic setup: OS, object surface; ID, llumination system aperture (diffuser); OD, observation system aperture.

Fig. 2
Fig. 2

Optical scheme of the holographic setup used: He–Ne, helium–neon laser; M, mirrors; λ/2, halfwave plates; BS, interference-polarizing beam splitter; L, positive lens; D, iris diaphragm; GP, ground glass plate; O, investigated object; LC, laser collimator; and H. the hologram.

Fig. 3
Fig. 3

Out-of-plane rotation by an angle φ~20 sec of a rectangular plate; diffuser diameter 11 cm; illuminating beam angles of incidence are (a) αi = −20°, (b) αi = 0°, (c) αi = 20°, (d) αi = 40°.

Fig. 4
Fig. 4

Interferograms of the same plate as in Fig. 3; illuminating beam angle of incidence αi = 60°, the diffuser diameter is equal to (a) 11 cm; (b) 5.5 cm; (c) nondiffuse illumination.

Fig. 5
Fig. 5

In-plane rotation of a rectangular plate; illuminating beam angle of incidence αi = 60°; the diffuser diameter is 11 cm; rotation angles equal (a) ψ = 30 sec, (b) ψ = 1 min, (c) ψ = 2 min.

Fig. 6
Fig. 6

Same as Fig. 5 with plate at normal illumination; 11-cm diffuser diam, rotation angles equal (a) ψ = 30 sec, (b) ψ = 1 min, (c) ψ = 2 min.

Fig. 7
Fig. 7

Same plate as in Fig. 6 at normal illumination and a 5.5-cm diffuser diam; rotation angle ψ = 2 min.

Fig. 8
Fig. 8

Interferograms of an empty cylinder at increasing inside pressure differences obtained with (a)–(c) nondiffuse illumination and (d)–(f) diffuse illumination.

Fig. 9
Fig. 9

Interferograms of a vibrating rectangular plate excited with the same frequency obtained by (a) time-averaging and (b) double-pulse with diffuse illumination holographic interference methods.

Fig. 10
Fig. 10

Sample holograms of singers during singing obtained by the double-pulse holographic method with diffuse illumination.

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

I = I 0 [ 1 + 4 J 1 ( ξ ) ξ J 1 ( η ) η cos ( K ¯ · u ¯ ) ] ,
K ¯ = k ( e ¯ o r + e ¯ i r ) ,
ξ = ( k / 2 ) w o r | e ¯ o r × u ¯ | = ( k / 2 ) w o r | u ¯ t o | ,
η = ( k / 2 ) w i r | e ¯ i r × u ¯ | = ( k / 2 ) w i r | u ¯ t i | ,
| u ¯ t o | = | u ¯ | sin α or = 1 . 22 λ w o r = 0 . 61 λ A o r ,
| u ¯ t i | = | u ¯ | sin α i r = 1 . 22 λ w i r = 0 . 61 λ A i r ,
I ( r ¯ , φ ) = I 0 ( r ¯ ) { 1 + 2 J 1 [ ( k / 2 ) w i r x φ sin α i r ] [ ( k / 2 ) w i r x φ sin α i r × cos [ k x φ ( cos α i r + cos α o r ) ] } ,
x 1 . 22 λ w i φ sin α i ,
I ( r ¯ , ψ ) = I 0 ( r ¯ ) { 1 + 2 J 1 [ ( k / 2 ) w i r | r ¯ | ψ 1 cos 2 α i r tan 2 α i sin 2 γ ] ( k / 2 ) w i r | r ¯ | ψ 1 cos 2 α i r tan 2 α i sin 2 γ × cos [ k ψ y ( tan α i cos α i r + tan α 0 cos α o r ) ] } .
I n ( r ¯ , ψ ) = I 0 ( r ¯ ) { 1 + 2 J 1 [ ( k / 2 ) w i r | r ¯ | ψ ] [ ( k / 2 ) w i r | r ¯ | ψ ] cos ( k ψ y tan α o cos α o r ) } .
ρ = 1 . 22 λ w i r ψ ,
N = 1 . 22 w i r tan α o cos α o r .

Metrics