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Optical Resonators pp 53–113Cite as

Wave Optics

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Abstract

The geometrical treatment of the propagation of light presented in the preceding chapter is only an approximate description. It does not take the spatial amplitude distribution of the electromagnetic wave into account. Geometrical optics can be applied as long as the wavelength is small compared to the lateral extent of the wave. This restriction, as already discussed, is equivalent to a large Fresnel number N. The exact description of the propagation of light is obtained by utilizing Maxwell’s equations to derive the wave equations for the electric and the magnetic fields. If we neglect the vector properties of the field, the wave equation for the electric field E in homogeneous, isotropic, loss-free, dielectric media reads [1.1,1.3,1.40]:

$$ \frac{{{\partial ^2}E}}{{\partial {x^2}}} + \frac{{{\partial ^2}E}}{{\partial {y^2}}} + \frac{{{\partial ^2}E}}{{\partial {z^2}}} - \frac{1}{{{c^2}}}\frac{{{\partial ^2}E}}{{\partial {t^2}}} = 0 $$
((2.1))

with c being the speed of light in the medium.

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Chapter 2 Wave Optics

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Authors and Affiliations

  1. Humphrey Instruments, Carl Zeiss Inc., 2992 Alvarado Street, San Leandro, CA, 94577-0700, USA

    Dr. rer. nat. Norman Hodgson

  2. Optisches Institut, Technische Universität Berlin, Strasse des 17 Juni 135, 10623, Berlin, Germany

    Prof. Dr. Ing. Horst Weber

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  1. Dr. rer. nat. Norman Hodgson
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  2. Prof. Dr. Ing. Horst Weber
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© 1997 Springer-Verlag London

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Hodgson, N., Weber, H. (1997). Wave Optics. In: Optical Resonators. Springer, London. https://doi.org/10.1007/978-1-4471-3595-1_3

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  • DOI: https://doi.org/10.1007/978-1-4471-3595-1_3

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-3597-5

  • Online ISBN: 978-1-4471-3595-1

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