The course aim is to provide students with theoretical skills and application information of Classic Optics. The educational objectives are: that the student follows some of the classical derivations of the laws of optics, starting from first principles. That the student realizes the connection of optics with the theories of Electromagnetism, Relativity and Quantum Mechanics. That the student knows, both from a phenomenological point of view and from a theoretical point of view, the main optical phenomena. That the student has knowledge and appreciates the applicative potential of the optics.
Expected learning outcomes
The student at the end of the course may have acquired the following skills: 1. place the optical phenomena within the framework of the more general electromagnetic phenomena; 2. know the laws of reflection and refraction as an example of application of the conditions to the contour of electromagnetic fields and knowing their most common applications; 4. know the Drude-Lorentz model and analyze the dispersion of a dielectric medium; 5. recognize some of the most common phenomena related to dispersion and absorption; 6. know the problem of the speed of light, its experimental bases and its relativist treatment; 7. know the various types of interferometers and their applications in radiation diagnostics; 8. know the details of the diffraction theory and its most important applications; 10. know the problem and the laws of coherence with related applications.
Lesson period: Second semester
(In case of multiple editions, please check the period, as it may vary)
Geometrical Optics Paraxial approximation. Applications to image formation and optical fibers.
Interference Basic concepts on interference and optical interferometers.
Diffraction and Fourier Optics Kirchoff scalar diffraction theory. Fraunhöfer diffraction. Fourier analysis and applications. Fresnel diffraction. Image formation and processing. Gaussian beams optics. Holography.
Coherence and statistical optics Temporal coherence: interference spectroscopy and statistical treatment. Spatial coherence and Van Cittert-Zernike theorem.
Nonlinear optics Anharmonic oscillator and nonlinear polarization. Propagation equations in dielectrics with quadratic nonlinearities. Phase-matching. Second-harmonic generation and parametric amplification. Cubic nonlinearities: optical Kerr effect, self-focusing, spatial solitons. Four-wave mixing and phase conjugation. Propagation of optical pulses in dispersive nonlinear (Kerr) media: temporal solitons in optical fibers.
Prerequisites for admission
Mathematics: vector calculus, operators and differential equations. Physics: basic elements of mechanics, electrostatics, magnetostatics.
Frontal lesson with examples and applications
Book: E. Hetch: Optics
Assessment methods and Criteria
Assessment method: oral examination Evaluation criteria: the evaluation takes into account i) achievement of the objectives in terms of disciplinary and transversal knowledge and skills; ii) the ability to apply knowledge and skills to different situations; iii) critical, logical, and operational skills.