Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

Fraunhofer Diffraction Geometry

夫琅禾费衍射几何

Although the formal Fraunhofer diffraction requirement is that of an infinite screen distance, usually reasonable diffraction results are obtained if the screen distance D >> a. But an additional requirement is D>> a2/λ which arises from the Rayleigh criterion as applied to a single slit. If the conditions for Fraunhofer diffraction are not met, it is necessary to use the Fresnel diffraction approach.

The diffraction pattern at the right is taken with a helium-neon laser and a narrow single slit. The pattern below was made with a green laser pointer.

右侧的衍射图样使用氦氖激光和一个窄单缝拍摄而成。下方的图样则使用绿色激光笔制作。
尽管夫琅禾费衍射的正式要求是屏幕距离为无限远,但通常在屏幕距离D >> a时即可获得合理的结果。此外,根据单缝的瑞利准则,还要求D >> a²/λ。如果无法满足夫琅禾费衍射的条件,则必须采用菲涅耳衍射方法。

Note: To obtain the expression for the displacement y above, the small angle approximation was used.

注意:为了得到上述位移y的表达式,采用了小角度近似。
Calculation for single slit
单缝衍射计算
Intensity for single slit
单缝强度
Double slit interference
双缝干涉
Comparison to double slit
与双缝实验的比较
Examine approximation
考察近似
Variation with slit width
缝宽变化
Index

Diffraction concepts

Fraunhofer diffraction

Oxford Optics
索引 夫琅禾费衍射 哥伦比亚大学光学
 
HyperPhysics***** Light and Vision
HyperPhysics ***** 光与视觉
R Nave
Go Back
返回












Single Slit Diffraction for Different Slit Widths

不同缝宽的单缝衍射

These single slit diffraction patterns were photographed with a helium-neon laser as the light source and a micrometer-controlled single slit. The sketches of the slit widths at right were scaled to the difference between the first minima of the diffraction patterns. If the geometry is such that the small angle approximation is valid, the width of the pattern is inversely proportional to the slit width.

这些单缝衍射图样使用氦-氖激光作为光源,配合微米控制的单缝进行拍摄。右侧图中缝宽的草图被缩放至衍射图样的第一个极小值之间的差值。如果几何条件使得小角近似成立,那么图样的宽度与缝宽成反比。
Calculation for single slit
单缝衍射计算
Intensity for single slit
单缝强度
Double slit interference
双缝干涉
Comparison to double slit
与双缝实验的比较
Examine approximation
考察近似
Index

Diffraction concepts

Fraunhofer diffraction
索引衍射概念 夫琅禾费衍射
 
HyperPhysics***** Light and Vision
HyperPhysics ***** 光与视觉
R Nave
Go Back
返回