# Matrix_Optics - Matrix Optics cfw_or how to manage the...

This preview shows pages 1–3. Sign up to view the full content.

Matrix Optics {or how to manage the algebra} Define a ray Ray is defined as starting at a reference plane RP, along the Z axis Height Y 1 and Angle Θ 1 Index of refraction is positive if ray is traveling in positive Z direction Vector form = Z Θ 1 Y 1 Θ 1 1 Y Y

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Use 2x2 Matrix to represent transformation of ray. After a ray passes through a interface or travels some distance there is a new height and angle. This is very convenient because we can cascade matrices together to represent each optical element of an optical system. After multiplying the matrices a single matrix results 1 1 2 Θ * B Y * A Y + = 1 1 2 Θ * D Y * C Θ + = = 1 1 1 2 3 4 2 2 Θ Y * D C B A * D C B A * D C B A * D C B A Θ Y = 1 1 2 2 Θ Y * D C B A Θ Y Snell’s Law With paraxial approximation n 1 Sin( Θ 1 )=n 2 Sin( Θ 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern