Skip to main content

Measurement of Elliptically Polarized Light

  • Chapter
Matrix Theory of Photoelasticity

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 11))

Abstract

The measurement of the state of polarization of a light beam is of particular importance for the problem of the photoelastic determination of the stresses induced in a two- or three-dimensional body. In these problems, the state of stress of the body in question modifies the polarization form of the incident light beam, so that the emerging light contains enough information for determination of the stresses of the body. The complete characterization of the state of polarization of the output light constitutes the main part of the problem.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C. V. Kent, J. Lawson: J. Opt. Soc. Am. 27, 117 (1937)

    Article  ADS  Google Scholar 

  2. J. F. Archard, P. L. Clegg, A. M. Taylor: Proc. Phys. Soc. London B65, 758 (1952)

    Article  ADS  Google Scholar 

  3. A. Robert, E. Guillemet: Rev. Fr. Méc. Nos 5–6, 147 (1963)

    Google Scholar 

  4. A. Robert, J. L. Vernet: Conf. au troisième Congrès international d’analyse des contraintes (Berlin 1966)

    Google Scholar 

  5. A. Robert, C. Bourdon, J. L. Le Goer: Rev. Fr. Méc. No 24, 93 (1967)

    Google Scholar 

  6. A. Robert: Bull. Soc. Fr. Minéral. Cristallogr. 91, 415 (1968).

    Google Scholar 

  7. A. Robert, M. Ferre: Bull. ATMA 69, 1 (1969)

    Google Scholar 

  8. A. J. Robert: Exp. Mech. 7, 224 (1967)

    Article  Google Scholar 

  9. A. Robert: Int. J. Solids Struct. 6, 423 (1970)

    Article  Google Scholar 

  10. A. Robert: Polarimétrie et Photoélasticimétrie (Serv. Techn. Const. Armes Navales, Paris 1972)

    Google Scholar 

  11. Z. Sekera: Adv. Geophys. 3, 43 (1956)

    Article  ADS  Google Scholar 

  12. W. Budde: Appl. Opt. 1, 201 (1962)

    Article  ADS  Google Scholar 

  13. B. A. Ioshpa, V. N. Obridko: Opt. Spectrosc. USSR 15, 60 (1963)

    Google Scholar 

  14. H. Takasaki, N. Okazaki, K. Kida: Appl. Opt. 3, 833 (1964)

    Article  ADS  Google Scholar 

  15. H. Takasaki, M. Isobe, T. Masaki, A. Konda, T. Agatsuma, Y. Watanabe: Appl. Opt. 3, 345 (1964)

    Article  ADS  Google Scholar 

  16. M. Richartz, H. Y. Hsii: J. Opt. Soc. Am. 39, 136 (1949)

    Article  ADS  Google Scholar 

  17. J. H. Jellett: Rpt. Br. Assoc. 30, 13 (1860)

    Google Scholar 

  18. M. A. Cornu: Bull. Soc. Chim. 14, 140 (1870)

    Google Scholar 

  19. O. Schönrock: „Polarimetrie“, in Elektrische Leistungsphänomene I, Handbuch der Physik, Hrsg. H. Geiger, K. Scheel, Bd. 19 (Springer, Berlin 1928) pp. 705–776

    Google Scholar 

  20. F. Lippich: Wien. Ber. 91, 1059 (1885)

    Google Scholar 

  21. S. Nakamura: Zentralblatt f. Min. Vol. 267 (1905)

    Google Scholar 

  22. E. Bertrand: Bull. Soc. Mineral. 1, 22 (1878)

    Google Scholar 

  23. J. Strong: Rev. Sci. Instr. 6, 243 (1935)

    Article  ADS  Google Scholar 

  24. M. Chauvin: Ann. de Toulouse 3, 30 (1889)

    MathSciNet  Google Scholar 

  25. M. L. Chaumont: Ann. Phys. (Paris) 4, 175 (1915)

    Google Scholar 

  26. G. G. Stokes: Math. Phys. Pap. Cambridge 3, 197 (1901)

    Article  Google Scholar 

  27. J. MacCullagh: Collected Works, Dublin, London (1880) pp. 138, 230

    Google Scholar 

  28. A. Q. Tool: Phys. Rev. 31, 1 (1910)

    ADS  Google Scholar 

  29. C. A. Skinner: J. Opt. Soc. Am. 10, 491 (1925)

    Article  ADS  Google Scholar 

  30. G. Szivessy: Z. Instrumentenkd. 47, 148 (1927)

    Google Scholar 

  31. C. Bergholm, Y. Björnstahl: Physik. Zeitschr. 21, 137 (1920)

    Google Scholar 

  32. M. Richartz: Z. Instrumentenkd. 60, 357 (1940)

    Google Scholar 

  33. G. Szivessy: In Kristalloptik, Handbuch der Physik, Hrsg. H. Geiger, K. Scheel, Bd. 20 (Springer, Berlin 1928) pp. 635–904

    Google Scholar 

  34. H. G. Jerrard: J. Opt. Soc. Am. 38, 35 (1948)

    Article  ADS  Google Scholar 

  35. H. G. Jerrard: J. Sci. Instrum. 28, 10 (1951)

    Article  ADS  Google Scholar 

  36. H. G. Jerrard: J. Sci. Instrum. 26, 353 (1949)

    Article  ADS  Google Scholar 

  37. H. G. Jerrard: J. Sci. Instrum. 27, 62 (1950)

    Article  ADS  Google Scholar 

  38. H. G. Jerrard: J. Sci. Instrum. 27, 164 (1950)

    Article  ADS  Google Scholar 

  39. H. G. Jerrard: J. Sci. Instrum. 30, 65 (1953)

    Article  ADS  Google Scholar 

  40. M. Françon, B. Sergent: Opt. Acta 2, 182 (1955)

    Article  ADS  Google Scholar 

Books

  • Clarke, D., Grainger, J.F.: Polarized Light and Optical Measurement (Pergamon Press, Oxford 1971) Chap.4, pp.118–154

    Google Scholar 

  • MacCullagh, J.: Collected Works, pp.138, 230 (Dublin, London 1880)

    Google Scholar 

  • Ramachandran, G.N., Ramaseshan, S.: “Crystal Optics”, in Crystal Optics, Diffraction, ed. by S. Flügge, Ency clopedia of Physics, Vol. 25/1 (Springer, Berlin, Göttingen, Heidelberg 1961) pp.34–53

    Google Scholar 

  • Schönrock, O.: “Polarimetrie”, in Elektrische Leistungsphänomene I, Handbuch der Physik, Hrsg. H. Geiger, K. Scheel, Bd. 19 (Springer, Berlin 1928) pp.705–776

    Google Scholar 

Papers

  • Archard, J.F., Clegg, P.L., Taylor, A.M.: Photoelectric analysis of elliptically polarized light. Proc. Phys. Soc. London B 65, 758–768 (1952)

    Article  ADS  Google Scholar 

  • Azzam, R.M.A.: Alternate arrangement and analysis of systematic errors for dynamic photometric ellipsometers employing an oscillating-phase retarder. Optik 45, 209–218 (1976)

    Google Scholar 

  • Bergholm, C., Björnstahl, Y.: Elektrische Doppelbrechung in Kolloiden. Physik. Zeitschr. 21, 137–141 (1920)

    Google Scholar 

  • Bertrand, E.: De l’application du microscope à l’étude de la minéralogie. Bull. Soc. Mineral, 1, 22–28 (1878)

    Google Scholar 

  • Budde, W.: Photoelectric analysis of polarized light. Appl. Opt. 1, 201–205 (1962)

    Article  ADS  Google Scholar 

  • Chaumont, M.L.: Recherches expérimentales sur le phénomène électrooptique de Kerr et sur les méthodes servant à l’étude de la lumière polarisée elliptiquement. Ann. de Phys. Paris 4, 175–206 (1915)

    Google Scholar 

  • Chauvin, M.: Polarisation rotatoire magnétique dans le spath d’Islande. Ann. de Toulouse 3, 30–49 (1889)

    MathSciNet  Google Scholar 

  • Cheng, J.C.: Polarization scrambling using a photoelastic modulator: Application to linear dichroism measurement. Rev. Sci. Instrum. 48, 1086–1089 (1977)

    Article  ADS  Google Scholar 

  • Cornu, M.A.: Appareil destiné aux mesures des pouvoirs rotatoires. Bull. Soc. Chim. 14, 140–142 (1870)

    Google Scholar 

  • Ferre, M.: Description et élaboration d’un ellipsomètre dynamique. Application à la photoélasticimétrie dynamique. Ecole Nationale Superieure de Techniques Avancées, Rpt. 073, Paris (1976) pp. 84

    Google Scholar 

  • Françon, M., Sergent, B.: Compensateur biréfringent à grand champ. Opt. Acta 2, 182–184 (1955)

    Article  ADS  Google Scholar 

  • Holoubek, J.: The use of mueller matrices in the intensity methods of birefringence measurements. Czech. J. Phys. B 24, 1162–1167 (1974)

    Article  ADS  Google Scholar 

  • Hyde, W.L., Tubbs, E.F., Koester, C.J.: An automatic photoelectric Polarimeter. J. Opt. Soc. Am. 49, 513 (1959)

    Google Scholar 

  • Ioshpa, B.A., Obridko, V.N.: Photoelectric analysis of polarized light. Opt. Spectrosc. USSR 15, 60–62 (1963)

    Google Scholar 

  • Jellett, J.H.: On a new instrument for determining the plane of polarization. Rpt. Br. Assoc. 30, 13 (1860)

    Google Scholar 

  • Jerrard, H.G.: Optical compensators for measurement of elliptical polarization. J. Opt. Soc. Am. 38, 35–59 (1948)

    Article  ADS  Google Scholar 

  • Jerrard, H.G.: Accurate adjustment of the wedges of a Babinet compensator. J. Sci. Instrum. 26, 353–357 (1949)

    Article  ADS  Google Scholar 

  • Jerrard, H.G.: Examination and calibration of a Babinet compensator. J. Sci. Instrum. 27, 62–66 (1950)

    Article  ADS  Google Scholar 

  • Jerrard, H.G.: Accurate adjustment of the wedges of a Soleil compensator. J. Sci. Instrum. 27, 164–167 (1950)

    Article  ADS  Google Scholar 

  • Jerrard, H.G.: Use of a half-shadow plate with uniform field compensators. J. Sci. Instrum. 28, 10–14 (1951).

    Article  ADS  Google Scholar 

  • Jerrard, H.G.: The examination and calibration of Soleil compensators. J. Sci. Instrum. 30, 65–70 (1953)

    Article  ADS  Google Scholar 

  • Kent, C.V., Lawson, J.: A photoelectric method for the determination of the parameters of elliptically polarized light. J. Opt. Soc. Am. 27, 117–119 (1937)

    Article  ADS  Google Scholar 

  • Lagarde, A., Oheix, P.: “Méthodes ponctuelles statiques et dynamiques de photoélasticimétrie pour des problèmes bidimensionnels”; Proc. 5th Int. Conf. Exp. Stress Analysis, Udine, 1974, ed. by G. Bartolozzi (Tecnoprint-Pitagora, Bologna 1974) pp.1.21–1.28

    Google Scholar 

  • Lagarde, A., Oheix, P.: “Static and Dynamic Ponctuai Method for the Determination of the Neutral Axis and the Algebraic Value of the Birefringence for a Plane Plate”, in Photoelastic Effect and Its Applications (IUTAM Symposium) ed. by J. Kestens (Springer, Berlin, Heidelberg, New York 1975) pp.525–531

    Google Scholar 

  • Lippich, F.: über polaristrobometrische Methoden, insbesondere über Halbschattenapparate. Wien. Ber. 91, 1059–1096 (1885)

    Google Scholar 

  • Lipskii, Y.N., Pospergelis, M.M.: Some results of measurements of the total Stokes vector for details of the lunar surface. Sov. Astron.-AJ 11, 324–326 (1967)

    ADS  Google Scholar 

  • Nakamura, S.: Neue Instrumente und Beobachtungsmethoden. Zentralblatt f. Min. 267–279 (1905)

    Google Scholar 

  • Oheix, P., Lagarde, A.: Sur une conception des mesures en photoélasticimétrie bidimensionelle. Rev. Fr. de Méc. 63–70 (1973)

    Google Scholar 

  • Oheix, P.: Méthode globale de détermination de l’ordre de frange en valeur algébrique d’un modèle photoélastique bidimensional et visualisation des franges de quart d’onde. C.R. Acad. Sci. B 279, 361–363 (1974)

    Google Scholar 

  • Pospergelis, M.M.: The “Taimyr” electronic Polarimeter. Sov. Astron.-AJ 9, 313–321 (1965)

    ADS  Google Scholar 

  • Pospergelis, M.M.: Measurement and computation of the instrumental Stokes vector. Sov. Astron.-AJ 12, 512–521 (1968)

    ADS  Google Scholar 

  • Pospergelis, M.M.: Spectroscopic measurements of the four Stokes parameters for light scattered by natural objects. Sov. Phys.-Astron. 12, 973–977 (1969)

    Article  ADS  Google Scholar 

  • Richartz, M.: Einfache Halbschattenvorrichtung für den Viertelwellenlängen-kompensator. Z. Instrumentenkd. 60, 357–360 (1940)

    Google Scholar 

  • Richartz, M., Hsü, H.Y.: Analysis of elliptical polarization. J. Opt. Soc. Am. 39, 136–157 (1949)

    Article  ADS  Google Scholar 

  • Robert, A.: “New Methods in Three-Dimensional Photoelasticity”, Proc. 2nd SESA Int. Congress on Exp. Mech., Washington, D.C. Sept. 1965, ed. by B.E. Rossi (1966) pp.123–131

    Google Scholar 

  • Robert, A.J.: New methods in photoelasticity. Exp. Mech. 7, 224–232 (1967)

    Article  Google Scholar 

  • Robert, A.: Application de la sphère de Poincaré à l’ellipsométrie de précision. Bull. Soc. Fr. Minéral. Cristallogr. 91, 415–421 (1968)

    Google Scholar 

  • Robert, A.: The application of Poincaré’s sphère to photoelasticity. Int. J. Solids Struct. 6, 423–432 (1970)

    Article  Google Scholar 

  • Robert, A.: La sphère de Poincaré et ses applications à la mesure des formes de lumière et à la photoélasticimétrie classique. Sci. et techniques de l’Armement 45, 309–379 (1971)

    Google Scholar 

  • Robert, A.: “Polarimétrie et photoélasticimétrie”. Serv. Techn. Const. Armes Navales, Paris (1972)

    Google Scholar 

  • Robert, A., Bourdon, C., Le Goer, J.L.: Principe et description d’un photo-élasticimètre tridimensionel á lumière diffusée. Rev. Fr. Méc. 24, 93–116 (1967)

    Google Scholar 

  • Robert, A., Dore, A.: “Méthode de photoélasticimétrie dynamique”, Proc. 5th Int. Conf. Exp. Stress Analysis, Udine, 1974, ed. by G. Bartolozzi (Tecnoprint-Pitagora, Bologna 1974) pp.1.38–1.42

    Google Scholar 

  • Robert, A., Ferre, M.: Principe et description d’un photoélasticimètre automatique application à l’étude d’une tranche de pétrolier. Bull. Association Technique Maritime et Aéronautique 69, Memoire No. 1549, 1–15 (1969)

    Google Scholar 

  • Robert, A., Guillemet, E.: Nouvelle méthode d’utilisation de la lumière diffusée en photoélasticimétrie à trois dimensions. II. Mise au point pratique. Rev. Fr. Méc. 5–6, 147–157; 7–8, 39–46 (1963)

    Google Scholar 

  • Seielstad, G.A., Berge, G.L.: Time dependence of the integrated Stokes parameters of compact radio sources at 5 GHz. Astron. J. 80, 271–281 (1975)

    Article  ADS  Google Scholar 

  • Sekera, Z.: Recent developments in the study of the polarization of sky light. Adv. Geophys. 3, 43–104 (1956)

    Article  ADS  Google Scholar 

  • Skinner, C.A.: A universal Polarimeter. J. Opt. Soc. Am. 10, 491–520 (1925)

    Article  ADS  Google Scholar 

  • Som, S.C., Chowdhury, C.: New ellipsometric method for the determination of the optical constants of thin films and surfaces. J. Opt. Soc. Am. 62, 10–15 (1972)

    Article  ADS  Google Scholar 

  • Stokes, G.G.: On a new elliptic analyser. Math. and Phys. Papers, Cambridge, 3, 197–202 (1901)

    Article  Google Scholar 

  • Szivessy, G.: Ober den Gebrauch des Braceschen Halbschattenkompensators bei der gleichzeitigen Messung von Azimut und Elliptizität der Schwingungsellipse. Z. Instrumentenkd. 47, 148–154 (1927)

    Google Scholar 

  • Takasaki, H., Isobe, M., Masaki, T., Konda, A., Agatsuma, T., Watanabe, Y.: An automatic retardation meter for automatic polarimetry by means of an ADP polarization modulator. Appl. Opt. 3, 345–350 (1964)

    Article  ADS  Google Scholar 

  • Takasaki, H., Okazaki, N., Kida, K.: An automatic Polarimeter, Pt. II. Automatic polarimetry by means of an ADP polarization modulator. Appl. Opt. 3, 833–837 (1964)

    Article  ADS  Google Scholar 

  • Tardy, M.H.L.: Méthode pratique d’éxamen et de mesure de la biréfringence des verres d’optique. Rev. Opt. 8, 59–69 (1929)

    Google Scholar 

  • Tool, A.Q.: A method for measuring ellipticity and the determination of optical constants of metals. Phys. Rev. 31, 1–25 (1910)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Theocaris, P.S., Gdoutos, E.E. (1979). Measurement of Elliptically Polarized Light. In: Matrix Theory of Photoelasticity. Springer Series in Optical Sciences, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-35789-6_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-35789-6_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-15807-4

  • Online ISBN: 978-3-540-35789-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics