1 / 7

PHYS 408 Applied Optics (Lecture 14)

Quick review of ABCD matrices and their applications in analyzing optical elements and Gaussian beams. Includes examples and a brief discussion on resonators.

tenney
Download Presentation

PHYS 408 Applied Optics (Lecture 14)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. PHYS 408Applied Optics (Lecture 14) Jan-April 2016 Edition Jeff Young AMPEL Rm 113

  2. Quiz #7 • The ABCD matrix is the same as the M matrix used to analyze thin films: T/F • The Gaussian q parameter is a function of z: T/F • The ABCD matrix associated with propagation in a uniform medium over a distance d changes the z0 value of a Gaussian input beam: T/F • I did my homework and derived the ABCD matrix for a curved interface between two dielectrics: T/F

  3. Quick review of key points from last lecture ABCD matrices are reasonably easy to derive for individual optical elements (and propagation) based on a combination of Fermat’s principle and ray optics. They can be used, for instance, to derive the focal length of a thin lens in terms of the refractive index of the glass and the radii of curvature of the surfaces. One can transform either q(z) or 1/q(z) using the ABCD matrices in slightly different ways. Both can provide useful insight and/or efficient ways of understanding the effect of the optical element on a Gaussian beam.

  4. Gaussian Example #1 (free space propagation)

  5. Gaussian Example #2 (effect of a thin lens) From the sketch, what are q1 and 1/ q1 at entrance to lens? What is the relevant ABCD matrix to propagate just through the lens? What are q2 and 1/ q2 just after the lens?

  6. And the answer is ….. z2 Interpret?

  7. Resonators/Cavities What is a resonator? Examples? From earlier in the course? Fabry-Perot (plane mirrors)

More Related