<title>Vectorial algorithm for the computation of light propagation equation based on Huygens' principle using the scalar theory of diffraction</title>

In addition to wave-particle duality, the contributions of Kirchhoff-Helmholtz are fundamental to the scalar theory of diffraction. The mathematical results of their formulae help predict the maximum intensity of light at the center of the far-field diffraction pattern that coincides with the optical axis. This study demonstrates, via a series of the single-slit experiments, that the Helmholtz–Kirchhoff integral is invalid for transparent barriers. In fact, the experimental results show that the main factors determining the appearance of the diffraction pattern are the refractive index contrast between the barrier and the medium, including the physical invariance of the medium in response to factors such as temperature and pressure, and the dimensions of the barriers.

Download Full-text

Surface Roughness Characterization of al Films by Spectroscopic Ellipsometry

MRS Proceedings ◽

10.1557/proc-54-669 ◽

1985 ◽

Vol 54 ◽

Cited By ~ 1

Author(s):

J. R. Blanco ◽

K. Vedam ◽

P. J. McMarr ◽

J. M. Bennett

Keyword(s):

Surface Roughness ◽

Rough Surface ◽

Spectroscopic Ellipsometry ◽

Rough Surfaces ◽

Scalar Theory ◽

Nondestructive Technique ◽

Aluminum Films ◽

Random Rough Surfaces ◽

Scalar Theory Of Diffraction

ABSTRACTWell characterized rough surfaces of aluminum films have been studied by the nondestructive technique of Spectroscopie Ellipsometry (SE). The roughness of the aluminum specimens had been characterized earlier by Total Integrated Scattering and Stylus Profilometry techniques to obtain numerical estimates of ras roughness and autocovariance lengths. The present SE measurements on these specimens were carried out at a number of angles of incidence in the range 30–80° and at a number of discrete wavelengths in the spectral range 300–650nm. The SE results were then analyzed by the scalar theory of diffraction from random rough surfaces by treating the surface as a simple random rough surface. The results of such analyses of the SE measurements are compared with the results of the earlier characterization techniques.

Download Full-text

Diffraction Of A Plane Monochromatic Wave At The Circular Aperture And Circular Disk

Siberian Journal of Physics ◽

10.54362/1818-7919-2016-11-2-92-100 ◽

2016 ◽

Vol 11 (2) ◽

pp. 92-100

Author(s):

Mikhail Zakharov

Keyword(s):

Electromagnetic Waves ◽

Circular Disk ◽

Diffraction Field ◽

Circular Aperture ◽

Monochromatic Wave ◽

Scalar Theory ◽

Opaque Screen ◽

Plane Monochromatic Wave ◽

Incident Plane ◽

Scalar Theory Of Diffraction

In the framework of the scalar theory of diffraction of normally incident plane monochromatic wave, the intensity distribution of the diffraction field along the axis of an annular hole was found. As particular cases, the diffraction at an opaque circular disk of radius R ب λ (λ is the wavelength) and at a circular aperture in an opaque screen was considered. Accounting for the vector nature of the field of electromagnetic waves led to more correct results, including at large angles of diffraction, i.e. at sufficiently small distances from the screen (smaller and of order R), where the scalar theory, as it is known, not applicable.

Download Full-text