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

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

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Chem. Phys. Mem. Acad

Chem. Phys. Mem. Acad

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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