Huygens's wave propagation principle corrected.

@article{Miller1991HuygenssWP,
  title={Huygens's wave propagation principle corrected.},
  author={D. Miller},
  journal={Optics letters},
  year={1991},
  volume={16 18},
  pages={
          1370-2
        }
}
  • D. Miller
  • Published 1991
  • Physics, Medicine
  • Optics letters
  • Huygens's principle that each point on a wave front represents a source of spherical waves is conceptually useful but is incomplete; the backward parts of the wavelets have to be neglected ad hoc, otherwise backward waves are generated. The problem is solved mathematically by Kirchhoff's rigorous integration of the wave equation, but the intuitive appeal of Huygens's simple principle is lost. I show that, by using spatiotemporal dipoles instead of spherical point sources, one can recover a… CONTINUE READING
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    References

    SHOWING 1-8 OF 8 REFERENCES
    Part of this research was presented by
    • Digest of Optical Society of America Annual Meeting
    • 1990
    Mathematical Theory of Huygens' Principle, 2nd ed
    • Principles of Optics, 6th ed. (Pergamon,
    • 1980
    Ann. Phys. Vorlesungen fiber Math. Phys
    • Ann. Phys. Vorlesungen fiber Math. Phys
    • 1882
    Chem. Phys. Mem. Acad
    • Chem. Phys. Mem. Acad
    • 1816
    C . Huygens , Trait & ' de la Lumiere ( Leyden , 1690 ) [ English translation by S . P . Thompson , Treatise on Light ( Macmillan , London , 1912 ) ] . 2 . A . Fresnel , Ann . Chem . Phys .
    • Principles of Optics
    Note that such scalar solutions, while valid, e.g., for acoustic waves, are not complete solutions for electromagnetic waves because Maxwell's equations impose additional constraints (see Ref
    • Note that such scalar solutions, while valid, e.g., for acoustic waves, are not complete solutions for electromagnetic waves because Maxwell's equations impose additional constraints (see Ref
    Some waves (e.g., the net wave from two discrete point sources) cannot be adequately described using wave fronts; despite this, the wave front is, however
    • Some waves (e.g., the net wave from two discrete point sources) cannot be adequately described using wave fronts; despite this, the wave front is, however