Basics of Magneto-optical trapping and the dipole force (Foot Notes) - Kayla Rodriguez
Dr. Caroline Champenois
Professor Lectures - Dr. Martina Knoop (not public)
Kayla's Notes:
Lecture 1: Introduction to RF Traps and Paul Traps
Lecture 2: Zoology of traps: different types of radiofrequency traps
Professor Lectures - Dr. Richard Charles Thompson (not public)
- Dr. Christian Roos
Professor Lectures (not public)
Kayla's Notes: broke my arm and had to start typing/listening to lectures instead of writing.
Lecture 7: Miller's rule, X^2 zero for noncentrosymmetric crystals, centrosymmetric media, solve perturbation equation of motion for these cases, setup equations to solve for the classical anharmonic oscillator with inversion symmetry
Lecture 8: Finish solving for third order perturbation equation of motion, use answer to plug into polarization and solve for X^3
Lecture 9: Reducing the number of elements necessary to uniquely describe X^2 using symmetries and field properties
Lecture 10: Symmetries to reduce the number of independent elements of X^2, examining the nonlinear optical properties at a single point (no spatial dependence): linear response function, time-domain description of optical nonlinearities and the time-domain linear response function
Lecture 11: Wave description of nonlinear optical interactions, introduction to phase matching
Lecture 17: Quantum Mechanical Theory of the Nonlinear Optical Susceptibility
Lecture 18: Obtaining Nonlinear susceptibility through a quantum mechanical perturbative expansion
Lecture 21: Introduction to the Density Matrix Formalism
Lecture 22: Deriving the dynamical equations for the density matrix, understanding the density matrix element meaning, including driving and damping into a state of a system, introduction to decoherence/dephasing rate
Lecture 23: Using the density matrix to calculate the electric dipole moment, use perturbation theory to solve the density matrix dynamical equation, find the perturbed solutions
Lecture 24: Calculate the first order susceptibility based on the density matrix perturbed solutions from the previous lecture, linear response theory, oscillator strength, absorption coefficient, exciton example
Lecture 25: Calculate the second order susceptibility based on the density matrix perturbed solutions and previous lecture result of first order susceptibility
Lecture 26: nonlinear optics in the two-level approximation, solving the two level system by the density matrix formulation with the only approximation used being the rotating wave approximation (good when near resonance), susceptibility solved for is complete since it was not solved perturbatively
Lecture 27: understanding the physical meaning susceptibility, writing in terms of absorption coefficient, susceptibility as a function of intensity derived (saturated absorption formula), rederiving self-focusing
Lecture 28: applications of nonlinear optics and ultrafast laser system , terahertz pulse generation and detection, deep UV photon emission and high harmonic generation (HHG), ultrafast ARPES
Ch1 book notes
HW1: Self-focusing, parametric vs nonparametric processes, various nonlinear processes, Ti:Saph modifying output with SHG, self-focusing in Ti:Saph, pair of prisms in Ti:Saph laser, selection rules for one-photon and two-photon absorption
HW2: Anharmonic oscillator, intrinsic permutation, full permutation, Kleinman's symmetry, X^2=0 for centrosymmetric media, nth-order time-domain response function related to the susceptibility
HW3: Phase-matching, linear optics: biaxial crystal with dielectric tensor, quasi phase matching, three wave mixing maximum upconversion efficiency, photoluminence
HW4: Solving for the perturbative wavefunction coefficients to determine the perturbed wavefunction solution, use coefficients to calculate the expectation value of the third order polarization, use the third order polarization to determine third order nonlinear susceptibility, expressing susceptibility with intrinsic permutation symmetry, different third harmonic processes, the highly non-resonant condition
HW5: Density matrix, off-diagonal elements of the density matrix, oscillator strength, saturated absorption