Airy Disc - miroslav-hekrdla/plasmonic-microscopy GitHub Wiki

Airy Disc

MH, v1.0, 2021_03_23

2D

f(x,y) = \frac{J_1^2(2 \pi \sqrt{x^2 + y^2} )}{\pi(x^2 + y^2)}

airyDisc2D.png

3D

f(x,y,z) = \left| \int_0^1 J_0 \left( 2 \pi \rho \sqrt{x^2+y^2} \right) \text{e}^{\text{j} \pi z \rho ^2 } \rho \text{d} \rho \right| ^2

airyDisc3Dz0.png

airyDisc3Dz1.png

Reference

  • [Ober-Tahmasbi-etal_2015], Quantitative Aspects of Single-Molecule Microscopy: Information-theoretic analysis of single-molecule data, IEEE signal processing magazine, 2015