Class of basis functions for use in optical systems analysis.

Area of Science:

• Optics
• Optical Engineering
• Sensor Systems

Background:

• Accurate modeling of spatial apertures is crucial for optical sensor system performance.
• Existing methods may lack efficiency or precision in predicting field propagation.
• Understanding diffraction effects is essential for sensor design.

Purpose of the Study:

• To develop an efficient and accurate method for modeling spatial aperture effects on optical sensor systems.
• To establish a set of valid basis functions for describing optical fields at various ranges.
• To apply the developed technique to a practical scattering problem.

Main Methods:

• Partitioning the aperture image plane into rectangular regions.
• Approximating the field in each subregion using orthogonal function series.
• Propagating these functions using the Fresnel approximation of the Rayleigh-Sommerfeld diffraction formula.
• Utilizing complex Fourier series for application to scattering problems.

Main Results:

• The derived orthogonal functions serve as valid basis functions for defining fields at any range.
• The method demonstrates applicability to complex optical phenomena like scattering.
• Accurate modeling of spatial aperture effects is achieved.

Conclusions:

• The proposed method provides a robust framework for analyzing spatial aperture impacts in optical sensors.
• This technique enhances the predictive capability for optical sensor system design.
• The approach offers a versatile tool for optical field propagation studies.