In prior work we described a 5x5 ray matrix formalism and how to integrate the effects that are not modeled in wave-optics with the ray matrix model. In this paper we describe how to complete the integration of the two techniques by modifying the Siegman ABCD ray matrix decomposition. After removing the separable effects like image rotation and image inversion, we break the 5x5 ray matrix into two 2x2 sections (a.k.a. the ABCD matrices) that correspond to the two axes orthogonal to the propagation. We then present a general algorithm that breaks any arbitrary ABCD matrix into four simple wave-optics steps. The algorithm presented has sufficient generality to handle image planes and focal planes. This technique allows for rapid and accurate ...
Paraxial lens optics is discussed to study the continuity properties of the ABCD beam transfer matri...
Based on the eigenvalues of the ray transformation matrix, a classification of ABCD systems is propo...
In this thesis, we determine and implement an optical propagation technique suitable for system-leve...
Two common techniques for modeling optical systems are wave-optics and ray matrices. Usually only on...
A matrix approach is presented that allows one to describe a complex optical system by a matrix rela...
Simulation of light transport through lens systems plays an important role in graphics. While basic ...
International audienceA method to derive the ABCD matrices for reflection and refraction for any dio...
Thesis (M.A.)--Boston UniversityThis paper is an extension of the work originally done by Dr. Willem...
The optimization of an optical system benefits greatly from a study of its aberrations and an identi...
The ABCD matrix formalism describing paraxial propagation of optical beams across linear systems is ...
The beam transfer matrix, often called the ABCD matrix, is one of the essential mathematical instrum...
A three-by-three polarization ray tracing matrix method is developed to calculate the polarization t...
Geometric relations are used to study the propagation environment of a Gaussian beam wave propagatin...
If the propagation of a light field can be satisfactorily described by a diffraction integral with a...
We investigate the linear propagation of Gaussian-apodized solutions to the paraxial wave equation i...
Paraxial lens optics is discussed to study the continuity properties of the ABCD beam transfer matri...
Based on the eigenvalues of the ray transformation matrix, a classification of ABCD systems is propo...
In this thesis, we determine and implement an optical propagation technique suitable for system-leve...
Two common techniques for modeling optical systems are wave-optics and ray matrices. Usually only on...
A matrix approach is presented that allows one to describe a complex optical system by a matrix rela...
Simulation of light transport through lens systems plays an important role in graphics. While basic ...
International audienceA method to derive the ABCD matrices for reflection and refraction for any dio...
Thesis (M.A.)--Boston UniversityThis paper is an extension of the work originally done by Dr. Willem...
The optimization of an optical system benefits greatly from a study of its aberrations and an identi...
The ABCD matrix formalism describing paraxial propagation of optical beams across linear systems is ...
The beam transfer matrix, often called the ABCD matrix, is one of the essential mathematical instrum...
A three-by-three polarization ray tracing matrix method is developed to calculate the polarization t...
Geometric relations are used to study the propagation environment of a Gaussian beam wave propagatin...
If the propagation of a light field can be satisfactorily described by a diffraction integral with a...
We investigate the linear propagation of Gaussian-apodized solutions to the paraxial wave equation i...
Paraxial lens optics is discussed to study the continuity properties of the ABCD beam transfer matri...
Based on the eigenvalues of the ray transformation matrix, a classification of ABCD systems is propo...
In this thesis, we determine and implement an optical propagation technique suitable for system-leve...