Related Experiment Video
Updated: Apr 20, 2026

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
Published on: February 8, 2014
Modified Lagrange invariants and their role in determining transverse and axial imaging resolutions of
Abstract:
The Lagrange invariant is a well-known law for optical imaging systems formulated in the frame of ray optics. In this study, we reformulate this law in terms of wave optics and relate it to the resolution limits of various imaging systems. Furthermore, this modified Lagrange invariant is generalized for imaging along the z axis, resulting with the axial Lagrange invariant which can be used to analyze the axial resolution of various imaging systems. To demonstrate the effectiveness of the theory, analysis of the lateral and the axial imaging resolutions is provided for Fresnel incoherent correlation holography (FINCH) systems.
Related Concept Videos
Linear time-invariant Systems
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
Interference and Diffraction
NMR Spectrometers: Resolution and Error Correction
Gauss's Law: Planar Symmetry
Gauss's Law: Cylindrical Symmetry
Symmetry in Maxwell's Equations

