# 繞射光柵

## 原理

${\displaystyle d\ \sin {\theta _{m}}=m\lambda }$

${\displaystyle d\left(\sin {\theta _{m}}+\sin {\theta _{i}}\right)=m\lambda }$

## 繞射光柵強度分佈

${\displaystyle P=D(\theta )I(\theta )}$

${\displaystyle D={\frac {\sin(\pi d\sin(\theta )/\lambda )^{2}\lambda ^{2}}{(\pi ^{2}d^{2}\sin(\theta )^{2})}}}$

I 是干涉因子：

${\displaystyle I={\frac {\sin(\pi a\sin(\theta )N/\lambda )^{2}}{(N^{2}\sin(\pi a\sin(\theta )/\lambda )^{2})}}}$

## 資料來源

1. ^ Karl Dieter Möller, Optics, 2nd edition p152-156
• www.celomc.com
• Adapted from a public domain entry in Federal Standard 1037C
• National Optical Astronomy Observatories entry regarding volume phase holography gratings
• Hutley, Michael, Diffraction Gratings (Techniques of Physics), Academic Press (1982) [1]
• Loewen, Erwin & Evgeny Popov, Diffraction Gratings and Applications, CRC; 1 edition (1997) [2]
• Palmer, Christopher, Diffraction Grating Handbook, 6th edition, Newport Corporation (2005) [3]
• Greenslade, Thomas B., "Wire Diffraction Gratings," The Physics Teacher, February 2004. Volume 42 Issue 2, pp. 76-77 [4]
• Abrahams, Peter, Early Instruments of Astronomical Spectroscopy [5]