White-light Fourier transformer with low chromatic aberration

Area of Science:

• Optics and Photonics
• Diffraction Optics
• Optical Systems Design

Background:

• Chromatic aberration is a significant challenge in optical systems, affecting image quality and spectral accuracy.
• Fourier transformation systems are crucial for various applications, including optical signal processing and imaging.
• Achieving achromatic Fourier transforms at a finite distance with minimal chromatic aberration is a long-standing goal in optical design.

Purpose of the Study:

• To present a simple and effective Fourier transformation system.
• To achieve an achromatic Fourier transform representation of an input signal.
• To minimize chromatic aberration in a Fourier transformation system over the visible spectrum.

Main Methods:

• The system utilizes two on-axis zone plates and an achromatic objective for broadband parallel illumination.
• Fresnel diffraction theory is employed to analyze the system's performance.
• Analytical expressions are derived to quantify transversal and longitudinal chromatic aberrations.

Main Results:

• The proposed system successfully generates an achromatic Fourier transform representation at a finite distance.
• Low chromatic aberration, less than 1%, is achieved across the entire visible spectrum for typical parameter values.
• The system's design offers a practical solution for applications requiring spectral accuracy.

Conclusions:

• The presented simple Fourier transformation system effectively minimizes chromatic aberration.
• The use of zone plates and an achromatic objective provides a viable method for achromatic Fourier transforms.
• This system has potential applications in spectral imaging and optical metrology where chromatic aberration is critical.