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Agenda

Agenda. Last class review-we built a laser! Why is it useful? How does occupation probability evolve? Population rate equations Changes in population are all fine and good but the important parameter is intensity: First step: determine scattering cross-section area

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Agenda

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  1. Agenda • Last class review-we built a laser! • Why is it useful? • How does occupation probability evolve? Population rate equations • Changes in population are all fine and good but the important parameter is intensity: • First step: determine scattering cross-section area ASIDE: Problem set #5 due November 24th. Problem set#6 due December 3rd. To be handed out. ASIDE: Reading for next class: M.E. pp 255-258 ASIDE: Review class – December 11th (Saturday) 1:30-2:30 STI 412B If you do not have card access to the building, contact me. “Public” office hour – December 7th 10:30-11:30 STI 412B M.E.: 211-212 M.E.: 214-219 Laser Optics – Phys460

  2. E2 E1 1. Last class review • Included dephasing • If dephasing is much faster than any other process, we are in adiabatically following regime, where: Laser Optics – Phys460

  3. 1. Review, cont. • Built a laser! Require N2>N1 IMAG REAL Laser Optics – Phys460

  4. x Wavefronts: z 2. So what? • Why is the laser so important? • Spatial properties: Gaussian beam! • Frequency properties: wavelength determined by quantum system and cavity. • Temporal properties: constant oscillation over time R=.99 Focus tightly Guide over long distances with low loss Spatial coherence (uniform wavefront) • Can be close to monochromatic • Can have broad spectrum Temporal coherence! Laser Optics – Phys460

  5. 2. Important?, cont. • Review some of the applications we have considered\. What properties did we assume about our light sources? • C.D. player reader – focus tightly • Holography – plane waves, monochromatic light • Telecommunications • coupling to single mode fiber – focus tightly (steady-state constructive/destructive interference in space!) • short pulses (steady-state constructive/destructive interference in time) • Fourier optics – plane waves, monochromatic beams • Optical tweezers – focus tightly • Laser cooling – control frequency in very precise way Laser Optics – Phys460

  6. 3. Population rate equations Laser Optics – Phys460

  7. 3. Rate equations, cont. A two-level system starts in the ground state. A resonant optical beam is turned on. What is the subsequent time evolution of the two-level system? For a specific value of and negligible spontaneous emission! 11 22 Laser Optics – Phys460

  8. 3. Rate equations, cont. A two-level system starts in the ground state. A resonant optical beam is turned on. What is the subsequent time evolution of the two-level system? For a specific value of and non-negligible spontaneous emission! 11 22 Laser Optics – Phys460

  9. 3. Rate equations, cont. If spontaneous emission can be neglected, what is the steady-state occupation probabilities of a two-level system interacting with a NON-resonant optical field? 11 A) 11 =0 and 22 =0 B) 11 =1 and 22 =0 C) 11 =0 and 22 =1 D) 11 =0.5 and 22 =0.5 22 E) None of the above. Laser Optics – Phys460

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