Diffraction Integral and Wave-Front Aberration Function

2017 ◽  
Author(s):  
Charles S. Williams ◽  
Orville A. Becklund
Keyword(s):  
Wave Front ◽  
Diffraction Integral

An explanation of a difficulty with Huygens' secondary wavelets

1996 ◽  
Vol 74 (5-6) ◽  
pp. 236-239 ◽  
Author(s):  
J. M. Daniels
Keyword(s):  
Wave Front ◽  
Travelling Wave ◽  
Diffraction Integral

Huygens' construction for the propagation of a wave front using secondary wavelets gives rise to a paradox, that a backward travelling wave is predicted, but this wave does not exist. This paradox is resolved by postulating two wavelets that cancel in the backward direction. Kirchhoff's diffraction integral is examined in the light of this postulate.

Diffraction of Plane Electromagnetic Waves by a Cylinder

2017 ◽  
Author(s):  
John A. Adam
Keyword(s):  
Wave Front ◽  
Diffraction Pattern ◽  
Electromagnetic Waves ◽  
Plane Waves ◽  
Spherical Wave ◽  
Electric Polarization ◽  
Secondary Wave ◽  
Diffraction Integral ◽  
Incident Plane ◽  
Radio Signals

This chapter discusses the mathematics underlying the diffraction of plane electromagnetic waves by a cylinder. Radio signals may undergo diffraction. A signal that encounters an obstacle tends to travel around it, suggesting that a signal may be received from a transmitter even though it may be “shaded” by a large object between them. This phenomenon is best explained by the Huygen's principle, according to which each point on a spherical wave front can be interpreted as a source of a secondary wave front. The chapter first examines electric polarization by considering normally incident plane waves incident on the cylinder (parallel to the z-axis of the cylinder) before turning to classical diffraction, Huygen's principle, and the Kirchhoff-Huygens diffraction integral. It also shows the derivation of the generalized Airy diffraction pattern.

Wave-front evaluation of the Ni-like Ag laser

2001 ◽  
Vol 11 (PR2) ◽  
pp. Pr2-155-Pr2-158 ◽  
Author(s):  
K. Murai ◽  
S. Sebban ◽  
H. J. Tang ◽  
Y. Yoshizumi ◽  
H. Daido ◽  
...  
Keyword(s):  
Wave Front

Investigating the Nonlinear Optical Response of Pepper Oil under Low Power Irradiation with Continuous Wave Visible Laser Beam

2020 ◽  
pp. 131-138
Keyword(s):  
Refractive Index ◽  
Nonlinear Refractive Index ◽  
Nonlinear Optical ◽  
Continuous Wave ◽  
Diffraction Integral ◽  
Visible Laser ◽  
Limiting Property ◽  
Kirchhoff Diffraction Integral ◽  
Theoretical Results ◽  
Good Agreement

The nonlinear optical properties of pepper oil are studied by diffraction ring patterns and Z-scan techniques with continuous wave beam from solid state laser at 473 nm wavelength. The nonlinear refractive index of the sample is calculated by both techniques. The sample show high nonlinear refractive index. Based on Fresnel-Kirchhoff diffraction integral, the far-field intensity distributions of ring patterns have been calculated. It is found that the experimental results are in good agreement with the theoretical results. Also the optical limiting property of pepper oil is reported. The results obtained in this study prove that the pepper oil has applications in nonlinear optical devices.

Wave-front inversion in induced light scattering

1978 ◽  
Vol 126 (12) ◽  
pp. 683-686
Author(s):  
Boris Ya. Zel'dovich ◽  
V.V. Ragul'skii
Keyword(s):  
Light Scattering ◽  
Wave Front

scholarly journals The Influence of Pipe Bending Curvature on H2-O2 Gaseous Detonation Wave Front

2021 ◽  
Vol 11 (9) ◽  
pp. 3951
Author(s):  
Hui Zhao ◽  
Huiyuan Li ◽  
Haitao Zhao ◽  
Leisheng Li ◽  
Jian Li
Keyword(s):  
Detonation Wave ◽  
Pressure Distribution ◽  
Wave Front ◽  
Cell Size ◽  
Chemical Reaction ◽  
Cellular Structure ◽  
Gaseous Detonation ◽  
External Boundary ◽  
Propagation Characteristics ◽  
Detonation Wave Front

The influence of different bend curvatures on the detonation wave propagation was analyzed by an advanced numerical simulation system. The mechanism of propagation properties is revealed by cellular structure, internal and external boundary pressure distribution, propagation process of detonation wave and chemical reaction. The cellular structure and detonation wave front of bend with different curvature are very different. The simulation results show that the detonation wave with regular cell structure propagating through the curved parts induces detonation cell size increased by diffraction near the inner wall while detonation reflected on the bottom surface resulting in decrease of cell size. Detonation wave was affected by the rarefaction wave and compression wave in the bent pipe. The pressure distribution of the bend shows that the peak pressure in the 450 curvature is the largest, which should be paid more attention in industrial design. The chemical reaction could indicate the propagation characteristics of detonation wave, and different propagation characteristics have different profiles of chemical components.

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