# 法拉第效应

## 數學表述

$\beta= \mathcal{V}Bd$

## 星際物質造成的法拉第旋轉

$\beta = \mathrm{R} \lambda^2$

$\mathrm{R} = \frac{e^3}{2\pi m^2c^4}\int_0^d n_e(s) B_{||}(s) \;\mathrm{d}s$

$\mathrm{R}= \frac{e^3}{8\pi^2 \epsilon_0 m^2c^3}\int_0^d n_e(s) B_{||}(s) \;\mathrm{d}s = 2.62 \times 10^{-13} \int_0^d n_e(s) B_{||}(s) \;\mathrm{d}s$

## 參考文獻

1. ^ Faraday, Michael. Faraday's Diary. Volume IV, Nov. 12, 1839 - June 26, 1847 Thomas Martin. London: George Bell and Sons, Ltd. 1933. ISBN 0-7503-05703. The diary is indexed by Faraday's original running paragraph numbers, not by page. For this discovery see #7504, 13 Sept. 1845 to #7718, 30 Sept. 1845. The complete seven volume diary is now in print again.
2. ^ Baigrie, Brian, Electricity and magnetism:a historical perspective illustrated, annotated, Greenwood Publishing Group, pp.97–98, 2007, ISBN 9780313333583
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5. ^ Longair, Malcolm. High Energy Astrophysics. Cambridge University Press. 1992. ISBN 0521435846.
6. ^ Mancuso S. and Spangler S. R. "Faraday Rotation and Models for the Plasma Structure of the Solar Corona" (2000), The Astrophysical Journal, 539, 480–491