# 折射率

${\displaystyle n={\frac {c}{v}}}$

## 水波的相對折射率

${\displaystyle n_{AB}={\frac {\sin i}{\sin r}}}$

## 斯涅爾定律的特殊情況

${\displaystyle {\frac {\sin i}{\sin r}}=n}$

## 介質的折射率

589.29 1.501 [1]

589.29 1.3330 [1]

1.31

1.661

Cytop 1.34 [9]
Sylgard 184 1.43

PETg 1.57

590 3.96 [11]
4.00

## 折射率是波長的函數

### 柯西公式

${\displaystyle n=A+{\frac {B}{\lambda ^{2}}}+{\frac {C}{\lambda ^{4}}}}$[12]

### 康拉迪公式

${\displaystyle n=A+{\frac {B}{\lambda }}+{\frac {C}{\lambda ^{3.5}}}}$[13]

### Herzberger公式

${\displaystyle n=A+B*\lambda ^{2}+{\frac {C}{\lambda ^{2}-\delta ^{2}}}+{\frac {C}{(\lambda ^{2}-\delta ^{2})^{2}}}}$[14]

### 肖特玻璃廠公式

${\displaystyle n=A+{\frac {B}{\lambda }}+{\frac {C}{\lambda ^{2}}}+{\frac {D}{\lambda ^{4}}}+{\frac {E}{\lambda ^{6}}}+{\frac {F}{\lambda ^{8}}}}$[15]

### Sellmeier公式

${\displaystyle N^{2}-1={\frac {A*\lambda ^{2}}{\lambda ^{2}-D}}+{\frac {B*\lambda ^{2}}{\lambda ^{2}-E}}+{\frac {C*\lambda ^{2}}{\lambda ^{2}-F}}}$[16]

## 複數折射率

${\displaystyle {\tilde {n}}=n+i\kappa }$ 複折射率的實部即通常的折射率，而虛部稱為消光係數（extinction coefficient），表示材料對傳播通過電磁波的衰減量。

## 參考資料

1. Optics, Fourth Edition. Pearson Higher Education. 18 March 2003. ISBN 9780321188786. Authors list列表中的|first1=缺少|last1= (幫助); 使用|coauthors=需要含有|author= (幫助)
2. ^ Introduction to Geometrical and Physical Optics. McGraw-Hill Book Company, INC. 1953. Authors list列表中的|first1=缺少|last1= (幫助)
3. ^ Handbook of Chemistry and Physics. Chemical Rubber Publishing Co. 1957. Authors list列表中的|first1=缺少|last1= (幫助); 使用|coauthors=需要含有|author= (幫助)
4. ^ Introduction to Optics, Third Edition. Pearson Prentice Hall. 2007: 221. ISBN 0-13-149933-5. Authors list列表中的|first1=缺少|last1= (幫助); 使用|coauthors=需要含有|author= (幫助)
5. ^ Silicon and Oil Refractive Index Standards 網際網路檔案館存檔，存檔日期2010-08-29.
6. ^ Meyrowitz, R, A compilation and classification of immersion media of high index of refraction, American Mineralogist 40: 398 (1955)
7. ^ RefractiveIndex.INFO - Refractive index and related constants
8. ^ Teflon AF. [2010-10-14].
9. ^ Cytop. [2010-10-14]. （原始內容存檔於2010-08-24）.
10. ^ University of Liverpool. Absolute Refractive Index. [2007-10-18]. （原始內容存檔於2007-10-12）.
11. ^ Optical Properties of Silicon. [2009-05-31]. （原始內容存檔於2009-06-05）.
12. ^ Rudolf Kingslake, Lens Design Fundamentals,p12, Academic Press 1978
13. ^ A.E.Conrady Applied Optics and Optical Design, part II,p659, Dover
14. ^ Rudolf Kingslake, Lens Design Fundamentals,p14, Academic Press 1978
15. ^ Rudolf Kingslake, Lens Design Fundamentals,p14, Academic Press 1978
16. ^ Milton Laikin Lens Design p9 2006 CRC Press 978-0849382789