Skip to main content
SpringerLink
Log in

The interpretation of holographic interferograms

  • Review
  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

Holographic interferometry is a very powerful technique for the measurement of small deformations and displacements of opaque solid objects. Unfortunately, the quantitative interpretation of the fringe patterns is somewhat involved, and the large number of papers published on this subject in the past 10 years has caused considerable confusion. This review paper is an attempt to rationalize the field by classifying the many different interpretation schemes into four main techniques, and by offering guidelines for the choice of technique for different applications.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. Gabor,Nature 161 (1948) 777–78.

    Google Scholar 

  2. Idem, Proc. Roy. Soc. A 197 (1949) 454–87.

    Google Scholar 

  3. Idem, Proc. Phys. Soc. B 64 (1951) 449–69.

    Google Scholar 

  4. E. N. Leith andJ. Upatnieks,J. Opt. Soc. Am. 52 (1962) 1123–30.

    Google Scholar 

  5. Idem, ibid 53 (1963) 1377–81.

    Google Scholar 

  6. R. L. Powell andK. A. Stetson,Opt. Soc. Am. Spring Meeting (1965), Paper FA16.

  7. Idem, J. Opt. Soc. Am. 55 (1965) 1593–8.

    Google Scholar 

  8. M. H. Horman,Appl. Opt. 4 (1965) 333–6.

    Google Scholar 

  9. B. P. Hildebrand andK. A. Haines,ibid 5 (1966) 172–3.

    Google Scholar 

  10. K. A. Haines andB. P. Hildebrand,ibid 5 (1966) 595–602.

    Google Scholar 

  11. Idem, IEEE Trans. Inst. Meas. 15 (1966) 149–61.

    Google Scholar 

  12. J. M. Burch,Prodn. Engnr. 44 (1965) 431–42.

    Google Scholar 

  13. J. M. Burch, A. E. Ennos andR. J. Wilton,Nature (1966) 1015–16.

  14. R. J. Collier, E. T. Doherty andK. S. Pennington,Appl. Phys. Letters 7 (1965) 223–5.

    Google Scholar 

  15. R. E. Brooks, L. O. Heflinger andR. F. Wuerker,ibid 7 (1965) 248–9.

    Google Scholar 

  16. L. O. Heflinger, R. F. Wuerker andR. E. Brooks,J. Appl. Phys. 37 (1966) 642–9.

    Google Scholar 

  17. J. W. C. Gates,Nature 220 (1968) 473–4.

    Google Scholar 

  18. G. Havener andR. J. Radley,Opto-electronics 4 (1972) 349–57.

    Google Scholar 

  19. F. Gori andF. Mallamace,Opt. Commun. 8 (1973) 351–4.

    Google Scholar 

  20. P. Hariharan andZ. S. Hegedus,ibid. 9 (1973) 152–5.

    Google Scholar 

  21. N. Abramson,Appl. Opt. 13 (1974) 2019–25.

    Google Scholar 

  22. R. J. Collier, C.B. Burckhardt andL. H. Lin, ‘Optical Holography’ (Academic Press, 1971).

  23. K. A. Stetson andR. L. Powell,Opt. Soc. Am. Ann. Mtg. (1965) Paper WF13.

  24. Idem, J. Opt. Soc. Am. 55 (1965) 1694–5.

    Google Scholar 

  25. Idem, ibid 56 (1966) 1161–6.

    Google Scholar 

  26. J. M. Burch andA. E. Ennos,Opt. Soc. Am. Spring Mtg. (1966), Paper WF 14.

  27. E. Archbold, J.M. Burch andA. E. Ennos,J. Sci. Instrum. 44 (1967) 489–94.

    Google Scholar 

  28. H. Nassenstein,Phys. Letters 21 (1966) 290–1.

    Google Scholar 

  29. E. B. Aleksandrov andA. M. Bonchbruevich,Zh.Tekh.Fiz. 37 (1967) 360–9. (Translation inSov. Phys.-Tech. Phys. 12 (1967) 258–65).

    Google Scholar 

  30. K. A. Haines andB. P. Hildebrand,Phys. Letters 19 (1965) 10–11.

    Google Scholar 

  31. B. P. Hildebrand andK. A. Haines,ibid. 21 (1966) 422–3.

    Google Scholar 

  32. Idem, J. Opt. Soc. Am. 57 (1967) 155–62.

    Google Scholar 

  33. A. E. Ennos,Contemp. Phys. 8 (1967) 153–70.

    Google Scholar 

  34. J. D. Redman,J. Sci. Instrum. 44 (1967) 1032–3.

    Google Scholar 

  35. M. Lurie,Opt. Soc. Am. Spring Mtg. (1967), Paper ThF14.

  36. D. B. Neumann,J. Opt. Soc. Am. 58 (1968) 447–54.

    Google Scholar 

  37. T. Tsuruta, N. Shiotake, J. Tsujiuchi andK. Matsuda,Jap. J. Appl. Phys. 6 (1967) 661–2.

    Google Scholar 

  38. N. E. Barnett,Opt. Soc. Am. Ann. Mtg. (1967) Paper WA17.

  39. A. E. Ennos,J. Phys. E. (J. Sci. Instrum.) 1 (1968) 731–4.

    Google Scholar 

  40. M. Lurie,J. Opt. Soc. Am. 58 (1968) 614–19.

    Google Scholar 

  41. M. Lurie andM. Zambuto,Appl. Opt. 7 (1968) 2323–5.

    Google Scholar 

  42. E. Archbold andA. E. Ennos,Nature 217 (1968) 942–3.

    Google Scholar 

  43. J. S. Zelenka andJ. R. Varner,Appl. Opt. 7 (1968) 2107–10.

    Google Scholar 

  44. W. G. Gottenberg,Exp. Mech. 8 (1968) 405–10.

    Google Scholar 

  45. L. H. Tanner,J. Phys. E. (J. Sci. Instrum.) 1 (1968) 517–22.

    Google Scholar 

  46. P. J. Magill andA. D. Wilson,J. Appl. Phys. 39, (1968) 4717–25.

    Google Scholar 

  47. E. R. Robertson andJ. M. Harvey (eds.), ‘Engineering Uses of Holography’, Procs. of Symposium, Strathclyde, 1968 (Cambridge University Press, 1970).

  48. W. R. Bradford,ibid, pp. 57–70.

  49. J. N. Butters,ibid, pp. 151–69.

  50. M. R. Wall,ibid, pp. 355–80.

  51. B. P. Hildebrand,ibid, pp. 401–33.

  52. J. Der Hovanesian andJ. Varner,ibid, pp. 173–84.

  53. N. Abramson,ibid, pp. 45–55.

  54. Idem, Appl. Opt. 8, 1235–40.

  55. Idem., Optik 30 (1969) 56–71.

    Google Scholar 

  56. J. D. Briers,Appl Opt. 10 (1971) 519–24.

    Google Scholar 

  57. M. Lurie, in [47], pp. 397–9.

  58. K. A. Stetson,ibid, pp. 307–31.

  59. M. Zambuto andM. Lurie,Appl. Opt. 9 (1970) 2066–72.

    Google Scholar 

  60. K. A. Stetson,Optik 29 (1969) 386–400.

    Google Scholar 

  61. N.-E. Molin andK. A. Stetson,ibid 31 (1970) 157–77:281–91.

    Google Scholar 

  62. J.-C. Viénot, C. Froehly, J. Monneret andJ. Pasteur, in [47], pp. 133–50.

  63. J.-C. Viénot,Nouv. Rev. d'Opt. Appl. 1 (1970) 91–106.

    Google Scholar 

  64. C. Froehly, J. Monneret, J. Pasteur andJ.-C. Viénot,Opt. Acta 16 (1969) 343–62.

    Google Scholar 

  65. E. Archbold, A. E. Ennos andP. A. Taylor in ‘Optical Instruments and Techniques’, Proc. Eighth Cong. ICO, Reading (1969) ed. J. Home Dickson (Oriel Press, 1970) pp. 265–75.

  66. E. Archbold, J. M. Burch andA. E. Ennos,Opt. Acta 17 (1970) 883–98.

    Google Scholar 

  67. J. M. Burch, Proc. SPIE Seminar on ‘Developments in Holography, (1971) pp. 149–56.

  68. J. A. Leendertz,J. Phys. E. (J. Sci. Instrum.)3 (1970) 214–18.

    Google Scholar 

  69. J. N. Butters andJ. A. Leendertz,Opt. Laser Technol 3 (1971) 26–30.

    Google Scholar 

  70. P. M. Boone andR. Verbiest,Opt. Acta 16 (1969) 555–67.

    Google Scholar 

  71. J. Tsujiuchi, N. Takeya andK. Matsuda,ibid,16 (1969) 709–22.

    Google Scholar 

  72. J. E. Sollid,Appl. Opt. 8 (1969) 1587–95.

    Google Scholar 

  73. C. M. Vest,ibid 12 (1973) 612–13.

    Google Scholar 

  74. J. W. C. Gates,Opt. Technol. 1 (1969) 247–50.

    Google Scholar 

  75. G. M. Brown, R. M. Grant andG. W. Stroke,J. Acoust. Soc. Am. 45 (1969) 1166–79.

    Google Scholar 

  76. R. C. Sampson,Exp. Mech. 10 (1970) 313–20.

    Google Scholar 

  77. A. D. Wilson,Appl. Opt. 9 (1970) 2093–7.

    Google Scholar 

  78. T. Tsuruta, N. Shiotake andY. Itoh,Jap. J. Appl. Phys. 7 (1968) 1092–100.

    Google Scholar 

  79. T. Tsuruta, N. Shiotake andY. Itoh,Opt. Acta 16 (1969) 723–33.

    Google Scholar 

  80. S. Walles,Arkiv. för Fysik 40 (1970) 299–403.

    Google Scholar 

  81. Idem., Opt. Acta 17 (1970) 899–913.

    Google Scholar 

  82. W. T. Welford,Opt. Commun. 1 (1969) 123–5.

    Google Scholar 

  83. Idem, ibid 1 (1970) 311–14.

    Google Scholar 

  84. J. Pastor, G. E. Evans andJ. S. Harris,Opt. Acta 17 (1970) 81–96.

    Google Scholar 

  85. J. S. Zelenka andJ. R. Varner,Appl. Opt. 8 (1969) 1431–4.

    Google Scholar 

  86. N.-E. Molin andK. A. Stetson,J. Phys. E (J. Sci. Instrum.) 2 (1969) 609–12.

    Google Scholar 

  87. N. Abramson,Appl. Opt. 9 (1970) 97–101.

    Google Scholar 

  88. E. Champagne andL. Kersch,Opt. Soc. Am. Ann. Mtg. (1969) Paper ThF14.

  89. J. R. Varner,Appl. Opt. 9 (1970) 2098–100.

    Google Scholar 

  90. P. M. Boone,Opt. Technol. 2 (1970) 94–8.

    Google Scholar 

  91. J.-C. Viénot, J. Bulabois andJ. Pasteur, (eds.), ‘Applications de l'Holographie’, Proc. Symposium, Besançon (1970), Université de Besançon.

  92. C. Aplin, B. Maronne andC. Minard,ibid, Paper 4-6.

  93. D. Bijl andR. Jones,ibid, Paper 5-3.

  94. A. R. Luxmoore andC. House,ibid, Paper 5-2.

  95. M. R. Wall,ibid, Paper 4-9.

  96. J. E. Sollid,ibid, Paper 4-8.

  97. J. Monneret,ibid, Paper 4-3.

  98. J. W. C. Gates,ibid, Paper 4-4.

  99. J. Tsujiuchi andK. Matsuda,ibid, Paper 4-5.

  100. W. T. Welford,ibid, Paper 4-2.

  101. P. M. Boone,ibid, Paper 5-1.

  102. N. Abramson,ibid, Paper 4-7.

  103. R. G. N. Hall,ibid, Paper 9-5.

  104. C. R. Hazell andS. D. Liem,ibid, Paper 64.

  105. C. T. Moffat andB. M. Watrasiewicz,ibid, Paper 6-2.

  106. F. M. Mottier,ibid, Paper 6-5.

  107. A. J. Waddell, W. Kennedy andP. Waddell,ibid, Paper 6-6.

  108. E. De Bazelaire andB. Prade,ibid, Paper 5-6.

  109. J. Nicolas,ibid, Paper 5-4.

  110. I. K. Leadbetter,ibid, Paper 17-1.

  111. E. R. Robertson andS. B. Elliott,ibid, Paper 10-6.

  112. K. Shibayama andH. Uchiyama,Appl. Opt. 1010 (1971) 2150–4.

    Google Scholar 

  113. N. L. Hecht, J. E. Minardi, D. Lewis andR. L. Fusek,ibid 12 (1973) 2665–76.

    Google Scholar 

  114. W.-M. Ewers, E. Fritzsch, K. Grünewald andH. Wachutka,Optik 40 (1974) 57–68.

    Google Scholar 

  115. M. Macáková,Opt. Appl 4 (1) (1974) 45–9.

    Google Scholar 

  116. D. Bijl andR. Jones,Opt. Acta 21 (1974) 105–18.

    Google Scholar 

  117. R. Jones,ibid 21 (1974) 257–66.

    Google Scholar 

  118. N. Abramson,Appl. Opt. 11 (1972) 1143–7.

    Google Scholar 

  119. C. A. Sciammarella andJ. A. Gilbert,ibid 12 (1973) 1951–6.

    Google Scholar 

  120. Y. Y. Hung, C. P. Hu, D. R. Henley andC. E. Taylor,Opt. Commun. 8 (1973) 48–51.

    Google Scholar 

  121. B. D. Hansche andC. G. Murphy,ISA Trans. 11 (1) (1972) 1–14.

    Google Scholar 

  122. Idem, Appl. Opt. 13 (1974) 630–5.

    Google Scholar 

  123. A. D. Wilson,ibid 10 (1971) 908–12.

    Google Scholar 

  124. O. J. Burchett andJ. L. Irwin,Mech. Eng. 93 (3) (1971) 27–33.

    Google Scholar 

  125. H. Michael,Appl. Opt. 12 (1973) 1111–3.

    Google Scholar 

  126. T. Matsumoto, K. Iwata andR. Nagata,ibid,13 (1974) 1080–4.

    Google Scholar 

  127. J. E. Sollid,Opt. Commun. 2 (1970) 282–8.

    Google Scholar 

  128. C. H. F. Velzel,ibid 7 (1973) 302–4.

    Google Scholar 

  129. F. D. Adams andG. E. Maddux,Appl. Opt. 13 (1974) 219–20.

    Google Scholar 

  130. H. Kohler,Optik 39 (1974) 229–35.

    Google Scholar 

  131. M. J. Landry andC. M. Wise,Appl. Opt. 12 (1973) 2320–7.

    Google Scholar 

  132. V. F. Bellani andA. Sona,ibid 13 (1974) 1337–41.

    Google Scholar 

  133. P. W. King,ibid,13 (1974) 231–3.

    Google Scholar 

  134. M. Dubas andW. Schumann,Opt. Acta 21 (1974) 547–62.

    Google Scholar 

  135. R. A. Ashton, D. Slovin andH. J. Gerritsen,Appl. Opt. 10 (1971) 440–1.

    Google Scholar 

  136. N.-E. Molin andK. A. Stetson,Optik 33 (1971) 399–422.

    Google Scholar 

  137. K. A. Stetson,J. Opt. Soc. Am. 64 (1974) 1–10.

    Google Scholar 

  138. P. M. Boone,Opt. Laser Technol. 4 (1972) 162–6.

    Google Scholar 

  139. P. M. Boone andL. C. De Backer,Optik 37 (1973) 61–81.

    Google Scholar 

  140. K. A. Stetson,ibid 31 (1970) 576–91.

    Google Scholar 

  141. W. H. Steel,Opt. Acta 17 (1970) 873–81.

    Google Scholar 

  142. M. A. Machado Gama,Opt. Commun. 8 (1973) 362–5.

    Google Scholar 

  143. I. Přikryl,Opt. Acta 21 (1974) 675–81.

    Google Scholar 

  144. V. K. Der, D. C. Holloway andW. L. Fourney,Appl. Opt. 12 (1973) 2552–4.

    Google Scholar 

  145. P. Hariharan andZ. S. Hegedus,Opt. Commun. 11 (1974) 127–31.

    Google Scholar 

  146. N. Abramson,Nature — Phys. Sci. 231 (1971) 65–7.

    Google Scholar 

  147. Idem, Appl. Opt. 10 (1971) 2155–61.

    Google Scholar 

  148. Idem, Optik 37 (1973) 337–46.

    Google Scholar 

  149. Idem, Appl. Opt. 9 (1970) 2311–20.

    Google Scholar 

  150. H. Bjelkhagen,Opt. Laser Technol. 5 (1973) 172–5.

    Google Scholar 

  151. N. Abramson andH. Bjelkhagen,Appl. Opt. 12 (1973) 2792–6.

    Google Scholar 

  152. A. D. Wilson,J. Opt. Soc. Am. 60 (1970) 1068–71.

    Google Scholar 

  153. A. D. Wilson andD. H. Strope,ibid 60 (1970) 1162–5.

    Google Scholar 

  154. A. D. Wilson,ibid 61 (1971) 924–9.

    Google Scholar 

  155. K. A. Stetson,ibid 61 (1971) 1359–62.

    Google Scholar 

  156. Idem, ibid 62 (1972) 297–8.

    Google Scholar 

  157. Idem, ibid 62 (1972) 698–700.

    Google Scholar 

  158. Idem, Appl. Opt. 11 (1972) 1725–31.

    Google Scholar 

  159. C. S. Vikram,Opt. Commun. 8 (1973) 355–7.

    Google Scholar 

  160. Idem, Appl. Opt. 12 (1973) 2808.

    Google Scholar 

  161. N. Abramson,ibid 14 (1975) 981–4.

    Google Scholar 

  162. K. A. Stetson,J. Opt. Soc. Am. 60 (1970) 1378–88.

    Google Scholar 

  163. Idem, Appl. Opt. 14 (1975) 272–3.

    Google Scholar 

  164. S. H. Rowe,J. Opt. Soc. Am. 61 (1972) 1599–603.

    Google Scholar 

  165. C. C. Aleksoff,Appl. Opt. 10 (1971) 1329–41.

    Google Scholar 

  166. J. W. C. Gates, R. G. N. Hall andI. N. Ross,Opt. Laser Technol. 4 (1972) 72–5.

    Google Scholar 

  167. T. Matsumoto, K. Iwata andR. Nagata,Appl. Opt. 12 (1973) 961–7.

    Google Scholar 

  168. R. Dändliker, B. Ineichen andF. M. Mottier,Opt. Commun. 9 (1973) 412–16.

    Google Scholar 

  169. G. Tribillon andJ. F. Miles,Opt. Commun. 11 (1974) 123–6.

    Google Scholar 

  170. W. T. Caussignac, in ‘Recent Advances in Optical Physics’, Proc. Tenth Cong. ICO, Prague (1975).

  171. J. D. Briers,ibid.

  172. K. A. Stetson, in ‘Holographic Nondestructive Testing’, ed. R. K. Erf (Academic Press, 1974) pp. 181–220.

  173. I. Prikryl, in ‘Recent Advances in Optical Physics’, Proc. Tenth Cong. ICO, Prague (1975).

  174. G. B. Brandt,Appl. Opt. 8 (1969) 1421–9.

    Google Scholar 

  175. P. M. Boone,Opt. Acta 22 (1975) 579–89.

    Google Scholar 

  176. J. D. Briers, in ‘Recent Advances in Optical Physics’, Procs Tenth Cong. ICO, Prague (1975).

Download references

Author information

Authors and Affiliations

  1. Department of Scientific and Industrial Research, Physics and Engineering Laboratory, Lower Hutt, New Zealand

    J. D. Briers

Authors
  1. J. D. Briers
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Briers, J.D. The interpretation of holographic interferograms. Opt Quant Electron 8, 469–501 (1976). https://doi.org/10.1007/BF00620139

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00620139

Keywords

Search

Navigation