Abstract
The necessity of solving polarization-optics problems that involve the passage of polarized light through a series of optical elements, in a rapid, unique, and elegant manner, led to the introduction of the modern methods in polarization optics based on the Poincaré sphere and the Mueller and Jones calculi. These methods for describing the various forms of elliptical polarization were presented in Chapter 3; the corresponding calculi for predicting the polarization form that emerges from an optical element were described in Chapter 4. In those two chapters were also presented the relations that exist between the Poincaré-sphere representation of a state of polarization and the Stokes and Jones vectors, as well as between the related transformations on the sphere and their corresponding analytical representations through the Mueller and Jones matrices.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
P. Badgley: Structural Methods for the Exploration Geologist (Peter C. Badgley, New York 1959) Chap. 8, pp. 187–242
F. E. Wright: J. Opt. Soc. Am. 20, 529 (1930)
H. K. Aben: Integrated Photoelasticity (Valgus, Tallin, USSR 1975) pp. 70–75
H. Schwieger: Exp. Mech. 9, 67 (1969)
H. J. Menges: Z. Angew. Math. Mech. 20, 210 (1940)
A. Kuske: Einführung in die Spannungsoptik (Wissenschaftliche Verlagsgesellschaft, Stuttgart 1959)
A. Kuske: Optik 19, 261 (1962)
A. Kuske: Rev. Franc. Méc. 9, 49 (1964)
A. Kuske: Int. Spannungsopt. Symp. Berlin, 11.–15. 4. 1961 (Akademie Verlag, Berlin 1962) pp. 115–126
A. Kuske: Exp. Mech. 6, 218 (1966)
A. Kuske, G. Robertson: Photoelastic Stress Analysis (Wiley and Sons, New York 1974) Chap. 13, pp. 304–328
M. Richartz, H. Y. Hsü: J. Opt. Soc. Am. 39, 136 (1949)
J. Cernosek: J. Opt. Soc. Am. 61, 324 (1971)
J. Cernosek: Exp. Mech. 13, 83 (1973)
J. Cernosek: Exp. Mech. 13, 273 (1973)
J. Cernosek: Exp. Mech. 15, 354 (1975)
C. Whitney: J. Opt. Soc. Am. 61, 1207 (1971)
Books
Aben, H.K.: Integrated Photoelasticity (Valgus Tallin, USSR 1975)
Aubouin, J., Brousse, R., Lehman, J.-P.: Préccis de Géologie (Dunod, Paris 1968) Chap.3, pp.74–83
Badgley, P.: Structural Methods for the Exploration Geologist (Peter C. Badgley, New York 1959) Chap.8, pp.187–242
Kuske, A., Robertson, G.: Photoelastic Stress Analysis (Wiley and Sons, New York 1974) Chap.13, pp.304–328
Papers
Cernosek, J.: Simple geometrical method for analysis of elliptical polarization. J. Opt. Soc. Am. 61, 324–327 (1971)
Cernosek, J.: Towards the achromatic quarterwave plate. Exp. Mech. 13, 83–85 (1973)
Cernosek, J.: On the effect of rotating secondary principal stresses in scattered-light photoelasticity. Exp. Mech. 13, 273–279 (1973)
Cernosek, J.: On photoelastic response of composites. Exp. Mech. 15, 354–357 (1975)
Cernosek, J.: New compensation method in photoelasticity. Exp. Mech. 16, 263–266 (1976)
Kuske, A.: “Beiträge zur spannungsoptischen Untersuchung von Flächentrag-werken”, Int. Spannungsopt. Symp., Berlin, 1961 (Akademie Verlag, Berlin 1962) pp.115–126
Kuske, A.: Die Gesetzmässigkeiten der Doppelbrechung. Optik 19, 261–272 (1962)
Kuske, A.: L’analyse des phénonènes optiques en photoélasticité a trois dimensions par la méthode du cercle de “J”. Rev. Fr. Méc. 9, 49–58 (1964)
Kuske, A.: The J-circle method. Exp. Mech. 6, 218–224 (1966)
Kuske, A.: “Photoelastic Effect Analysed by Means of the J-Circle Method”, in Photoelastic Effect and Its Applications (IUTAM Symposium), ed. by J. Kestens (Springer, Berlin, Heidelberg, New York 1975) pp.507–524
Menges, H.J.: Die experimentelle Ermittlung räumlicher Spannungszustände an durchsichtigen Modellen mit Hilfe des Tyndalleffektes. Z. Angew. Math. Mech. 20, 210–217 (1940)
Richartz, M., Hsü, H.Y.: Analysis of elliptical polarization. J. Opt. Soc. Am. 39, 136–157 (1949)
Schwieger, H.: Graphical methods for determining the resulting photoelastic effect of compound states of stress. Exp. Mech. 9, 67–74 (1969)
Whitney, C.: Pauli-algebraic operators in polarization optics. J. Opt. Soc. Am. 61, 1207–1213 (1971)
Wright, F.E.: A spherical projection chart for use in the study of elliptically polarized light. J. Opt. Soc. Am. 20, 529–564 (1930)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1979 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Theocaris, P.S., Gdoutos, E.E. (1979). Graphical and Numerical Methods in Polarization Optics, Based on the Poincaré Sphere and the Jones Calculus. 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_13
Download citation
DOI: https://doi.org/10.1007/978-3-540-35789-6_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-15807-4
Online ISBN: 978-3-540-35789-6
eBook Packages: Springer Book Archive