Blaze Peak Efficiency

The total intensity in a diffracted beam at the blaze wavelength is given by the sum of integrated intensity of all possible orders within $\theta_B - 90^{\circ} < \beta < 90^{\circ}$.

$$I_t = N^2 I(0) \Delta \beta_0 \left\{ 1 + \sum\limits_{\delta \ne... ...\frac{I(\delta)^{\prime}}{I(0)} \frac{\Delta \beta_m}{\Delta \beta_0} \right\}.$$ (35)

where $I(0)$ is the peak intensity at the blaze direction $\beta_0$. The blaze peak efficiency is defined as follows by Schroeder (1981),

$$E = \frac{N^2 I(0) \Delta \beta_0}{I_t}$$ (36)

$$= \left\{ 1 + \sum\limits_{\delta \neq 0}^{\alpha > \beta_m} I(\del... ...right)}^2 {I(\delta)}^{\prime} \frac{\cos \beta_0}{\cos \beta_m} \right\}^{-1},$$ (37)

where I(0) = 1.