The goal of this research was to describe the angular spectrum propagation method for the numerical calculation of scalar optical propagation phenomena. The angular spectrum propagation method has some advantages over the Fresnel propagation method for modeling low F# optical systems and non-paraxial systems. An example of one such system was modeled, namely the diffraction and propagation from a holographic diffraction grating. To accomplish this goal MATLAB® code was developed to implement the angular spectrum propagation method. Some classical imaging problems such as diffraction from a rectangular aperture, Talbot imaging, focal shift for converging beam illumination, and two beam interference were described in detail in order to demonstrate the capabilities of this method. Results from modeling the image formation of a holographic diffraction grating were compared to a ZEMAX® ray trace model.

Library of Congress Subject Headings

Diffraction gratings--Mathematical models; Holography; Imaging systems; Spectrum analysis; Light--Transmission

Publication Date


Document Type


Department, Program, or Center

Chester F. Carlson Center for Imaging Science (COS)


Easton, Roger

Advisor/Committee Member

Ninkov, Zoran

Advisor/Committee Member

Kotlarchyk, Michael


Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works. Physical copy available through RIT's The Wallace Library at: QC417 .B53 2006


RIT – Main Campus