Fundamentals of Electro- and Magneto-Optics and Non-Linear Optics

  • O. S. Heavens
Part of the Nato Advanced Study Institutes Series book series (NSSB, volume 10)


Linearity implies a limitation on the strength of the electric field in the electromagnetic wave. For moderate field strengths, the electric interaction is much stronger than the magnetic. Thus the ratio of magnetic to electric force on an electron subject to a “free space” e-m field is given by
$$\frac{Magnetic force}{Electric force} = \frac{e^{2}F}{2m^{2}\omega ^{2}c^{3}\varepsilon_{0}}$$
where F is the magnitude of the Poynting vector. For the visible region of the spectrum this ratio is of the order 10-23F where F is in watts/m2. Thus for any but the highest power fluxes, the magnetic interaction is negligible.


Second Harmonic Generation Poynting Vector Polar Case Ammonium Dihydrogen Phosphate Ammonium Dihydrogen Phosphate 
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Recommended Reading

  1. Coherent Light, A. F. Harvey; Wiley-Interscience; 1970Google Scholar
  2. Applied Nonlinear Optics, F. Zernicke and J. E. Midwinter; Wiley-Interscience; 1973Google Scholar
  3. Armstrong, J. A., Bloembergen, N., Ducuing, J. and Persham, P. S., 1962, Phys Rev, 127, 1918–1939ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1975

Authors and Affiliations

  • O. S. Heavens
    • 1
  1. 1.University of YorkHeslington, YorkUK

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