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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

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


1 advisory coucil meeting 1

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


2 last class review

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


2 review cont

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


3 real ray optics

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


3 real rays cont

3. Real rays, cont.

  • Shape factor

Laser Optics – Phys460


3 real rays cont1

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


Agenda1

Agenda

  • Results of first advisory council meeting

  • Brief review of last class

  • “Real” ray optics

  • Back to wave optics

  • Summary

Laser Optics – Phys460


4 paraxial wave equation

y

z

Paraxial wave equation

M.E. 14.5

4. Paraxial WAVE equation

Recall spherical solution to Homogeneous wave equation

Laser Optics – Phys460


4 wave eqn cont

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


4 wave eqn cont1

M.E. 14.5

4. Wave eqn., cont.

Normalize for all z:

Rationalize denominators

Gaussian

Beam!

Laser Optics – Phys460


5 summary

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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