Related Experiment Video
Updated: Jun 24, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Optical system invariant to second-order aberrations
Alexander B Samokhin1, Aleksey N Simonov, Michiel C Rombach
1Applied Mathematics Department, Moscow Institute of Radio Engineering, Electronics and Automatics, 78 Vernadsky Prospekt, 117454, Moscow, Russia.
Abstract:
An approximate analytical expression is derived for the two-dimensional incoherent optical transfer function (OTF) of an imaging system invariant to second-order aberrations. The system broadband behavior resulting from a third-order phase mask in its pupil plane is analyzed by using the two-dimensional stationary phase method. This approach does not require mathematical separability of the pupil function and can be applied to any pupil shape. The OTF is found to be a well-defined and smooth function at all nonzero spatial frequencies when the phase mask function includes third-order mixed terms in the pupil coordinates.
Related Concept Videos
Second Order systems I
By reinterpreting the system, one can derive the closed-loop transfer function, which...
Second Order systems II
If ζ...
Focusing of Light in the Eye
Properties of Enantiomers and Optical Activity
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 calculated...
Curvilinear Motion: Rectangular Components
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the time...
