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6. Kittel, Ch4-15, Angular distribution of radiant energy flux. (a) Show that the spectral density of radiant energy flux that arrives in the solid angle dis cu cos.d/4, where is the angle the normal to the unit area makes with the си incident ray, and u is the energy density per unit frequency range. (b) Show that the sum of this quantity over all incident rays is ¹ - cua 4

6. Kittel, Ch4-15, Angular distribution of radiant energy flux. (a) Show that the spectral density of radiant energy flux that arrives in the solid angle dis cu cos.d/4, where is the angle the normal to the unit area makes with the си incident ray, and u is the energy density per unit frequency range. (b) Show that the sum of this quantity over all incident rays is ¹ - cua 4

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**6. Kittel, Ch4-15, Angular distribution of radiant energy flux.** (a) Show that the spectral density of radiant energy flux that arrives in the solid angle \(d\Omega\) is \(cu_{\omega} \cos \theta \cdot d\Omega / 4\pi\), where \(\theta\) is the angle the normal to the unit area makes with the incident ray, and \(u_{\omega}\) is the energy density per unit frequency range. (b) Show that the sum of this quantity over all incident rays is \(\frac{1}{4} cu_{\omega}\).
Transcribed Image Text:**6. Kittel, Ch4-15, Angular distribution of radiant energy flux.** (a) Show that the spectral density of radiant energy flux that arrives in the solid angle \(d\Omega\) is \(cu_{\omega} \cos \theta \cdot d\Omega / 4\pi\), where \(\theta\) is the angle the normal to the unit area makes with the incident ray, and \(u_{\omega}\) is the energy density per unit frequency range. (b) Show that the sum of this quantity over all incident rays is \(\frac{1}{4} cu_{\omega}\).
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