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1 Primary & Middle School Mathematics1–9 年级在线 2 High School Mathematics10–12 年级在线 3 University Mathematics — Year 1本科一年级在线 4 University Mathematics — Year 2本科二年级在线 5 University Mathematics — Year 3本科三年级在线

1 Primary & Middle School Physics1–9 年级在线 2 High School Physics10–12 年级在线 3 University Physics — Year 1本科一年级在线 4 University Physics — Year 2本科二年级在线 5 University Physics — Year 3本科三年级在线

1 School Chemistry — Grades 1 to 121–12 年级在线 2 University Chemistry — Year 1本科一年级在线 3 University Chemistry — Year 2本科二年级在线 4 University Chemistry — Year 3本科三年级在线

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1 Markets I: The Ecosystem and Exchange-Traded Markets市场在线 2 Markets II: Rates, FX and Credit市场在线 3 Markets III: Commodities, Energy and Crypto市场在线 4 Quantitative Methods方法在线 5 Derivatives and Volatility衍生品在线 6 Rates, Credit, XVA and Risk利率、信用与风险在线 7 Research Craft: Predictors, Backtests, Measurement, Portfolios研究在线 8 Strategies I: Equities and Futures策略在线 9 Strategies II: Volatility, Relative Value, Macro and the Bank Desks策略在线 10 Microstructure and Execution交易执行在线 11 Market Making and High-Frequency Trading做市在线 12 Machine Learning for Markets机器学习在线 13 Low-Latency Software技术在线 14 Networks, Hardware and Trading Infrastructure技术在线 15 Research, Data and Risk Platforms技术在线 16 The Desk and the Firm公司运营在线 17 The Industry: Firms, Roles and Careers职业发展在线 18 Interviews I: Maths, Probability and Speed职业发展在线 19 Interviews II: Markets, Trading Games and the Final Round职业发展在线 20 Interviews III: Code职业发展在线

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Physics · 术语表

什么是 Dispersion？

Definition 3.13 High School Physics · 第 3 章 — Refraction of Light

A medium is dispersive when its refractive index depends on the wavelength of the light. In glass and water, $n$ is slightly larger for blue light (short wavelength) than for red light (long wavelength) — so blue bends more.

示例

Example 3.14 (Two colors, one surface)

A beam of white light hits crown glass at $i_1 = 60^\circ$ . For this glass $n_{\text{red}} = 1.51$ and $n_{\text{blue}} = 1.53$ . Snell’s law, once per color:

\sin i_{\text{red}} = \frac{\sin 60^\circ}{1.51} = 0.574, \quad i_{\text{red}} = 35.0^\circ ; \qquad \sin i_{\text{blue}} = \frac{\sin 60^\circ}{1.53} = 0.566, \quad i_{\text{blue}} = 34.5^\circ .

A single surface splits white light by half a degree — invisible on a window pane, but a prism refracts twice in the same rotational sense, widens the fan, and a few meters away the colors are centimeters apart.

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Definition 5.9 University Physics — Year 1 · 第 5 章 — Signal Propagation: Travelling and Standing Waves

A medium is dispersive when the phase velocity depends on the frequency. A non-sinusoidal signal, a sum of sinusoids, then deforms as it travels, its components drifting apart. Sound in air and light in vacuum are non-dispersive; light in glass (Chapter 2) and waves on deep water are dispersive — the long swell from a distant storm arrives a day before the short chop.

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