Abstract
The derivation of the refractive index from the microscopical structure of matter is analysed in detail. In particular the many various assumptions leading to the basic Clausius- Mosotti (Lorentz-Lorenz) equation are carefully stated. The most general formulation of the second order correlation theory for the refractive index, the so-called Yvon-Kirkwood theory, is given. These considerations will facilitate the explanation of a very peculiar effect observed by Amat.
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
References
A. Amat i GenÃis, Effect of visible and near-infrared light on adenosine triphosphate (atp)., Ph.D. thesis, University of Rovira i Virgili, Reus, Spain, April 2005.
A. Amat, J. Rigau, R.W.Waynant, I.K. Ilev and J.J. Anders, The electric field induced by light can explain cellular responses to electromagnetic energy: a hypothesis of mechanism, J Photochem Photobiol B 82 (2006), no. 2, 152–160.
M. Willemse, E. Janssen, F. de Lange, B. Wieringa and J. Fransen, ATP and FRET a cautionary note, Nat Biotechnol 25 (February 2007), no. 2, 170–172.
H.A. Lorentz, Verh. Kon. Akad. v. Wetensch. Amsterdam 18 (1878), no. 1, see for a reprint: Collected Papers, vol. 2, p. 1.
H.A. Lorentz, Collected Papers, vol. 1, Martinus Nijhoff, The Hague, 1936.
H.A. Lorentz, The Theory of Electrons, Dover, New York, 1952.
J. van Kranendonk and J.E. Sipe, Foundations of the Macroscopical Electromagnetic Theory of Dielectric Media, vol. 15, ch. 4, pp. 247–350, North Holland, Amsterdam/Oxford, 1977.
H.A. Lorentz, Enzyklopa¨die der Mathematischen Wissenschaften, Physik, Weiterbildung der Maxwellschen Theorie, Elektronentheorie, vol. 5, ch. 14, pp. 145–280, 1903.
L. Jansen, Molecular theory of the dielectric constant, Phys Rev 112 (1958), no. 2, 434–444.
Y.R. Shen, The Principles of Nonlinear Optics, Wiley, New York, 1984.
A. Münster, Statistische Thermodynamik kondensierter Phasen, vol. 13, ch. 1, pp. 251–267, Springer, Berlin, 1962.
J. Yvon, La propagation et la diffusion de la lumiere, Actualités scientifiques et industrielles Nr. 543 (1937), no. 543.
J.G. Kirkwood, On the theory of dielectric polarization, J Chem Phys 4 (1936), 592–601.
B.U. Felderhof, On the propagation and scattering of light in fluids, Physica 76 (1974), 486– 502.
L. Onsager, Electric moments o molecules in liquids, J Am Chem Soc 58 (1936), no. 8, 1486– 1493.
C.J.F. Böttcher, Zur Theorie der Inneren Elektrischen Feldstärke, Physica 9 (1942), 937–944.
C.J.F. Böttcher, Die Druckabhangigkeit der Molekularpolarisation von Dipolfreien Gasen und Flüssigkeiten, Physica 10 (1942), 945–953.
C.J.F. Böttcher, Theory of Dielectric Polarisation, Elsevier, Amsterdam, 1952.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer Science+Business Media, LLC
About this paper
Cite this paper
Hoenders, B.J. (2008). The Painful Derivation of the Refractive Index from Microscopical Considerations. In: Waynant, R., Tata, D.B. (eds) Proceedings of Light-Activated Tissue Regeneration and Therapy Conference. Lecture Notes in Electrical Engineering, vol 12. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-71809-5_30
Download citation
DOI: https://doi.org/10.1007/978-0-387-71809-5_30
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-71808-8
Online ISBN: 978-0-387-71809-5
eBook Packages: EngineeringEngineering (R0)