# Huygens's wave propagation principle corrected.

@article{Miller1991HuygenssWP, title={Huygens's wave propagation principle corrected.}, author={D. A. B. Miller}, journal={Optics letters}, year={1991}, volume={16 18}, pages={ 1370-2 } }

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… Expand

#### 53 Citations

Huygens' Principle geometric derivation and elimination of the wake and backward wave

- Medicine
- Scientific reports
- 2021

The interpretation, developed here, of Huygens' geometrical construction shows Huy gens' Principle to be correct: as for the wake, the HuyGens' wavelets disappear when combined except where they contact their common tangent surfaces, the new propagating wave fronts. Expand

Huygens' principle and the modelling of propagation

- Physics
- 1996

Huygens' principle (HP) is understood as a universal principle governing not only the propagation of light. According to Hadamard's rigorous definition, HP comprehends the principle of… Expand

Huygens' Principle as Universal Model of Propagation

- Physics
- 2009

Huygens’ Principle (HP) contains both the principle of action-at-proximity and the superposition principle. Although the propagation of sharp, non-spreading wave fronts is included in Huygens’ [1]… Expand

Huygens-Fresnel wavefront tracing

- Physics, Computer Science
- Comput. Phys. Commun.
- 2017

Initial results from a novel numerical method describing wave propagation in slowly non-uniform media are presented, following Huygens–Fresnel’s principle, which identifies a set of new points where the electric field has equal phase. Expand

Huygens–Fresnel diffraction and evanescent waves

- Physics
- 2011

Based on a modified Huygens-Fresnel principle valid in the near field, we analytically verify the exponential wave decay of evanescent waves. This field decay along the propagation direction can be… Expand

Huygens's secondary-sources dimensions.

- Physics, Medicine
- Journal of the Optical Society of America. A, Optics, image science, and vision
- 2007

Using a vectorial formulation, we show that Huygens's secondary-sources density is constant in plane waves, and it depends only on the wavelength. We also illustrate that Huygens's secondary sources,… Expand

Study on mathematical essence of Huygens’ principle

- Physics
- Optik
- 2018

Abstract Huygens put forward his wave theory of light in as early as the 17th century, and he explained the process of light propagation with wavelet envelopes. So far, Huygens’ principle has served… Expand

Huygens' principle in the transmission line matrix method (TLM). Global theory

- Physics
- 2001

SUMMARY Huygens' principle (HP) is understood as a universal principle governing not only the propagation oflight, but also ofacoustic waves, heat and matter di !usion, SchroK dinger's matter waves,… Expand

Huygens-Fresnel principle in the near field.

- Physics, Medicine
- Optics letters
- 1995

This work reformulates the Huygens-Fresnel principle in terms of nonradiative optics, focusing particularly on the obliquity factor inherent in the forward-directed propagation of light. Expand

Huygens–Fresnel–Kirchhoff wave-front diffraction formulations for spherical waves and Gaussian laser beams: discussion and errata

- Physics
- 1992

Kirchhoff diffraction formulations that use the wave front and the aperture plane for the surfaces of integration were compared. The full Kirchhoff obliquity factor terms distinguishing these two… Expand

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Part of this research was presented by

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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