Dimitri Geskus Questions About slides 4, 6, and 7: Q1: Answer with Yes or No and explain in your own words what happens. Support you answer by drawing a simple energy level diagram having 4 ions that have absorbed one or an infinite amount of pump photons (yes, that will be 6 drawings for the following 6 questions). For example a 4-level energy diagram with 4 ions drawn into it, before any absorption looks like: When absorbing one pump photon, can one create overall optical gain in a: a. 4-energy level material b. 3-energy level material c. 2-energy level material When absorbing infinite pump photons, can one create overall optical gain in a: d. 4-energy level material e. 3-energy level material f. 2-energy level material About Slide 8: Q2: The ytterbium ion seems to have only two energy levels, how is it possible that this ion can be used as optical amplifier? About slide 9: Q3: When using an Yb doped material, why do you need a larger population inversion to achieve net gain at 980 nm compared to achieving net gain at 1025 nm? Q4: At which wavelength can one achieve the highest gain, at 980 nm or 1025 nm? Fredrik Laurell a) Where are the difficulties and advantages in building laser in the solid-state relative to gas and liquid lasers? b) Originally flash lamps where used to pump solid-state lasers, but diodes are more common now. Why? Are there situations when flash lamps are preferred? Valdas Pasiskevicius 1. Any method used in analytical microscopy needs a calibration, which includes answering following question: what is the functional relation between the concentration of the species being measured and the signal that the microscope measures at a given excitation intensity? For usual confocal laser scanning microscope the dependence is linear. Nonlinear microscopy methods might have linear or quadratic dependence. Which dependence on concentration you would expect in following nonlinear methods: (a) SHG, (b) SFM, (c) TPFE, (d) CARS, (e) heterodyne CARS, (f) SRS. 2. In all microscopy methods which aim to be sensitive to specific molecular species or specific chromophores there are parasitic signals appearing on the detector due to different linear and nonlinear processes. That limits contrast in microscopy. Which parasitic processes specifically we need to be aware of in: (a) standard linear confocal laser microscopy, (b) TPFE microscopy, (c) CARS microscopy, (d) SRS microscopy? Johan Nilsson 1. Name two laser dopants commonly used for high-power fiber lasers. 2. List three advantages of the fiber geometry for lasers and amplifiers. 3. What are the advantages of cladding-pumping? Gunnar Björk In a separate PDF-file. Stefan Kröll Suggested discussion questions: c ‒ is the speed of light in vacuum n ‒ is the index of refraction vp = c/n is the phase velocity f ‒ is the light frequency 𝑐 𝑣𝑔 = 𝑑𝑛 is the group velocity 𝑛+𝑓 𝑑𝑓 1. Give explicit physical examples (at least one per case and not just an equation) where a) vp < c b) vp > c c) vg < c d) vg > c 2. What is the difference between material slow light and structural slow light and when could it matter which of these slow light effects that we have? A useful reference here may be R. W. Boyd, J. Opt. Soc. Am. B 28, A38 (2011). Anders Larsson In a separate PDF-file. Stefan Maier Question: Concentrating electromagnetic radiation from the far to the near field. 1. Explain the concepts of quality factor and effective mode volume in order to characterize an optical cavity. For conventional dielectric cavities, what is the lower limit of the mode volume? 2. Describe how nanoscale light localization can be achieved using a plasmonic system, specifically metallic nanoparticles. What is the physical nature of a localized surface plasmon. Give a couple of application examples. Markus Pollnau 1. Linewidth of a passive resonator a) How does the linewidth of a passive resonator depend on your reasoning, assume that the intrinsic round-trip losses are discrete losses (opposed to continuous propagation losses), as defined by LRT in one of the lecture slides! b) Calculate the linewidth of a passive resonator with a resonator length of 1 mm, filled by a medium of refractive index 1.5, with intrinsic round-trip losses of 1% and a mirror transmission of 5%! 2. Linewidth of an active resonator For the same resonator as in question 1, assuming that the medium is an active medium, calculate the linewidth for a gain that equals a) 1% of the losses, b) 99.9% of the losses, c) the losses! d) Why will the situation described in c) never happen? Walter Margulis Consider the expression below, derived to calculate the evolution of the amplitude of the envelope of the electric field of a pulse propagating along an optical fiber. Here, we considered amongst other simplifications that the transverse and longitudinal components of the electric field can be separated, the slowly-varying approximation is valid and that the electric dipole approximation describes well the polarization of the glass fiber. i∂A/∂z = -iαA/2 + 1/2 β2 ∂ 2A/∂T 2 - γ |A| 2 A a) What do the four terms represent physically? Consider now the attenuation negligible. Four regimes can be studied: 1) 2) 3) 4) When the pulse is very long and the power low When the pulse is short and the power low When the pulse is long and the power high When the pulse is short and the power high b) c) d) e) f) What happens to the pulse envelope width and the spectral content in case 1) What happens to the pulse width and spectrum in case 2) What happens to the pulse width and spectrum in case 3) What happens to the pulse width and spectrum in case 4) when β2 is positive What happens to the pulse width and spectrum in case 4) when β2 is negative