Direct calculation of a three-dimensional diffracted field.

Area of Science:

• Optics and Photonics
• Computational Electromagnetics
• Wave Propagation

Background:

• Calculating light fields is crucial for optical system design.
• The Huygens-Fresnel principle is a foundational concept in diffraction theory.
• Existing methods may have limitations in handling complex 3D light distributions.

Purpose of the Study:

• To present a novel computational approach for the complex amplitude of 3D diffracted light fields.
• To extend the calculation method for arbitrary aperture transmittance functions.
• To provide an accurate tool for analyzing light propagation in optical systems.

Main Methods:

• Utilizing a 3D Fourier transform within the paraxial approximation.
• Deriving the method from the Huygens-Fresnel principle.
• Applying the method initially to apertured spherical waves and then generalizing.

Main Results:

• Successfully computed the complex amplitude of 3D diffracted light fields.
• Demonstrated accurate light distribution calculation around the focus of apertured spherical waves.
• Extended the methodology to handle apertures with arbitrary transmittance functions.

Conclusions:

• The 3D Fourier transform approach offers an efficient and accurate method for calculating complex diffracted light fields.
• This technique enhances the analysis of light distribution in optical systems with complex apertures.
• The generalized method provides a versatile tool for optical modeling and simulation.