Table 2.

Overview of the main formulas related to light-sheet microscopy. See Appendix E for text.

General formulas for microscope objectives
Nominal focal length	$f=f_{\mathrm{TL}}^{\text{design}}/\mathrm{M}$
Effective focal length	$f^{\mathrm{eff}}=nf$
Effective magnification	${\mathrm{M}}^{\mathrm{eff}}=f_{\mathrm{TL}}^{\text{real}}/f^{\mathrm{eff}}$
Excitation (Gaussian)
Beam waist	$w_0=\lambda f_{\mathrm{i}}^{\mathrm{eff}}/\pi w$
Axial resolution	${\mathrm{FWHM}}_{\mathrm{axial}}\approx 1.17w_0$
Confocal parameter	$\mathrm{B}=2\pi {\omega }_0^2/\lambda$
	$=2\lambda {(f_{\mathrm{i}}^{\mathrm{eff}})}^2/\pi w^2$
Detection
Radial resolution	${\mathrm{FWHM}}_{\text{radial}}=0.5{\lambda }_0/{\mathrm{NA}}_d$
Objective field size	$\mathrm{S}=\mathrm{FN}/\mathrm{M}$
Camera
Pixel size object space	$p_{\text{object}}=p/{\mathrm{M}}^{\mathrm{eff}}$
Camera field of view (FOV) object space	${\mathrm{FOV}}_{\text{object}}=r_{\mathrm{chip}}/{\mathrm{M}}^{\mathrm{eff}}$
	$=p_{\text{object}}·{\#}_{\text{pixels}}$
Slit width on camera	$s_{\text{camera}}=p·t_{\exp }/t_{\text{shutter}}$
Slit width in object space	$s_{\text{object}}=s_{\text{camera}}/{\mathrm{M}}^{\mathrm{eff}}$
Frame rate	$\nu =1/({\#}_{\mathrm{horiz}.\text{lines}}·t_{\text{shutter}}+t_{\exp })$

Note: FWHM, full-width at half-maximum.