Fourier optics is the study of classical optics using Fourier transforms (FTs), in which the waveform being considered is regarded as made up of a combination, or superposition, of plane waves.

Aug 21, 2024 · A 4f optical system is a configuration in optics that uses two lenses to perform Fourier transformation on an image. This setup allows for various image processing techniques, including filtering and pattern recognition.

The 4F system consists of two identical lenses of focal length f=20cm. A pupil mask of diameter (aperture) 3cm is placed at the Fourier plane, symmetrically about the optical axis.

Lecture presentation on the following topics: 4F system (telescope with finite conjugates) as a cascade of Fourier transforms; binary amplitude and phase pupil masks; Point Spread Function (PSF).

Jan 10, 2024 · In a 4𝑓 system, you have two lenses, each at a distance of 2𝑓 from a central point. This arrangement allows for more control over where the image is formed and its magnification, regardless of small changes in the object's position.

This imaging system makes the Fourier transform F [ξ, η] of the input function f [x, y] “accessible” where it can be modified (“filtered”) before recomputing the Fourier transform to “reconstruct” the filtered image.

Apply the matrix formalism in cascade to estimate the transfer function of an arbitrary optical system Identify the lateral and angular magnification from the transfer function matrix of a 4f system

In this paper, the design and alignment strategies of 4f systems used in the vectorial optical field generator are described in detail. Reflection-type 4f systems were adopted due to limited spacing.

Calculate the complex amplitude distribution at the image plane if there is a pupil in the Fourier plane of a coherent 4f imaging system Identify the coherent impulse response and its transfer function in a coherent 4f imaging system Understand spatial filtering

Jan 30, 2023 · Thorlabs' Educational Fourier Optics Kit is designed for classroom, lab, and other educational uses. As shown in Figure 1, the kit is a horizontal, 4f microscope setup with a perpendicular arm after the objective lens to allow direct viewing of the Fourier transform pattern created by the object.