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Agenda

Agenda. Results of first advisory council meeting Brief review of last class “Real” ray optics Back to wave optics Summary. Aside:. Victoria, BC Nov. 6 th -8 th , 2004 www.phys.uvic.ca/cupc/ Student presentations, lab tours, guest speakers, career fair, social events.

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Agenda

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  1. Agenda • Results of first advisory council meeting • Brief review of last class • “Real” ray optics • Back to wave optics • Summary Aside: Victoria, BC Nov. 6th-8th, 2004 www.phys.uvic.ca/cupc/ Student presentations, lab tours, guest speakers, career fair, social events. In the past, the Department has provided financial support to attend. Do you have something you want to present? Laser Optics – Phys460

  2. 1. Advisory coucil meeting #1 • Office hours: 208B Tues 11:30-12:30 • Other times - try to reach me (email, stop by..) but no guarantees. • Assignments every two weeks. (Hand in to 208B) • Due Wednesday (even weeks) – “before I arrive Thursday morning” • ‘zero’ after solutions are posted. • Course breakdown • Assignments/midterm/exam: Best of (20/20/60% OR 20/10/70%) • Midterm: not during lecture slot, but in the evening. Duration: 1.5hrs (in a room with real desks). • Course topics • Keen on applications (eye surgery, holography, Fourier optics, etc.) • Will require covering some of the details faster. • Will provide a more detailed course outline with chapter references. • Other • Review class and tutorial at end of term Laser Optics – Phys460

  3. Paraxial wave equation 2. Last class review • Maxwell’s equations lead to Consider monochromatic fields: Want beam-like solutions. Use slowly varying envelope approximation.(M.E.: pg. 483) Homogenous wave equation Laser Optics – Phys460

  4. 2. Review, cont. • Simplistic solution: ray optics (short wavelength, no diffraction). • ABCD matrices for ray transformation: Black box Ray in Ray out e.g., resonator stability (M.E.: 14.3) Laser Optics – Phys460

  5. 3. ‘Real’ ray optics… • Most industrial optics use ray optics, but … e.g. Spherical aberration Real spherical lens Question: which is better? OR Breakout CASE 1 CASE 2 Laser Optics – Phys460

  6. 3. Real rays, cont. • Shape factor Laser Optics – Phys460

  7. 3. Real rays, cont. • Real world solutions: ray-tracing software (Code V, Zemax,…) Meridional rays: in the plane of the optical axis Skew rays: do not intersect the optics axis. Laser Optics – Phys460

  8. Agenda • Results of first advisory council meeting • Brief review of last class • “Real” ray optics • Back to wave optics • Summary Laser Optics – Phys460

  9. y z Paraxial wave equation M.E. 14.5 4. Paraxial WAVE equation Recall spherical solution to Homogeneous wave equation Laser Optics – Phys460

  10. M.E. 14.5 4. Wave eqn., cont. Solution to spherical wave near z axis Recall beam-like solution Also a solution to: Problem: power is related to Solution: wave equation is invariant to co-ordinate change z->z-zc Laser Optics – Phys460 Paraxial wave equation

  11. M.E. 14.5 4. Wave eqn., cont. Normalize for all z: Rationalize denominators Gaussian Beam! Laser Optics – Phys460

  12. 5. Summary • Real ray optics can be very complicated.. • When “first-order” paraxial approximation breaks down • When skew rays are considered • … • Beam-like solution to the paraxial wave equation: • Gaussian beam (first order) z Laser Optics – Phys460

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