diff --git a/texts/smlm-lab-course/smlm-lab-manual.tex b/texts/smlm-lab-course/smlm-lab-manual.tex index 2eac8c3..ebedc3d 100644 --- a/texts/smlm-lab-course/smlm-lab-manual.tex +++ b/texts/smlm-lab-course/smlm-lab-manual.tex @@ -100,7 +100,7 @@ \subsection{The Point Spread Function} \label{sec:psf} I \left(X\right) = I_{0} \left[ \frac{2 J_{1}\left(X\right)}{X} \right]^2 \end{equation} -\noindent where $ X = 2 \pi r \text{NA} / \lambda $, $r$ is the radial coordinate in the image plane, $\text{NA}$ is the numerical aperture of the microscope, and $\lambda$ is the wavelength of light. $J_{1}\left(X\right)$ is called the first-order Bessel function of the first kind. Its first zero, which is important for defining resolution as we shall see later, is at $\Delta X = 3.8317$. In terms of the radial coordinate, it lies at $\Delta r \approx 0.61 \text{NA} / \lambda$. +\noindent where $ X = 2 \pi r \text{NA} / \lambda $, $r$ is the radial coordinate in the image plane, $\text{NA}$ is the numerical aperture of the microscope, and $\lambda$ is the wavelength of light. $J_{1}\left(X\right)$ is called the first-order Bessel function of the first kind. Its first zero, which is important for defining resolution as we shall see later, is at $\Delta X = 3.8317$. In terms of the radial coordinate, it lies at $\Delta r \approx 0.61 \lambda / \text{NA}$. \subsection{Image Formation in Linear Shift Invariant Systems}