Nonlinear Optics and Quantum Photonics
A.Y. 2022/2023
Learning objectives
The course aims to provide the basic notions for the description of the interaction of radiation with nonlinear optical media, both in classical and quantum framework. Through the nonlinear optical response, the generation of new frequencies, the generation of single photons and non-classical states are discussed, and their quantum properties are studied. Also discussed are some modern applications of photonics, the propagation of radiation in optical fibers and the manipulation of optical signals.
Expected learning outcomes
At the end of the course, the student will have acquired the following skills:
1) understanding of the phenomena of the nonlinear interaction between radiation and optical, both for parametric and nonparametric interactions
2) knowledge of the basic characteristics of pulse propagation in optical fibers
3) knowledge of nonlinear optics techniques for the generation of single photons and of non-classical radiation states
4) knowledge of the main applications of modern photonics and of optical signal manipulation techniques
1) understanding of the phenomena of the nonlinear interaction between radiation and optical, both for parametric and nonparametric interactions
2) knowledge of the basic characteristics of pulse propagation in optical fibers
3) knowledge of nonlinear optics techniques for the generation of single photons and of non-classical radiation states
4) knowledge of the main applications of modern photonics and of optical signal manipulation techniques
Lesson period: Second semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
Single session
Responsible
Lesson period
Second semester
Course syllabus
1) Origin of optical nonlinearities, linear and nonlinear electrical polarization
2) Second order nonlinearity, optical rectification and generation of THz radiation, PP crystals
3) Third order nonlinearity and Kerr effect
4) Light propagation in fibers: self-phase modulation and supercontinuum generation
5) Photonic devices and applications
6) Quantization of the electromagnetic field in the continuum and propagation of photonic pulses
7) Quantization of the electromagnetic field in dielectrics
8) Parametric interactions and photon generation by parametric down-conversion
9) Generation of non-classical states and squeezed states
2) Second order nonlinearity, optical rectification and generation of THz radiation, PP crystals
3) Third order nonlinearity and Kerr effect
4) Light propagation in fibers: self-phase modulation and supercontinuum generation
5) Photonic devices and applications
6) Quantization of the electromagnetic field in the continuum and propagation of photonic pulses
7) Quantization of the electromagnetic field in dielectrics
8) Parametric interactions and photon generation by parametric down-conversion
9) Generation of non-classical states and squeezed states
Prerequisites for admission
Fundamental concepts of:
a) classical electromagnetic field and electromagnetic waves in vacuum and linear media; b) non-relativistic quantum mechanics; c) Fourier analysis and transforms
a) classical electromagnetic field and electromagnetic waves in vacuum and linear media; b) non-relativistic quantum mechanics; c) Fourier analysis and transforms
Teaching methods
The course is delivered through lectures and classroom discussions. Attendance is strongly recommended
Teaching Resources
Some reference books:
R.W.Boyd, "Nonlinear Optics" (IV ed), Academic Press
P.E.Powers, "Fundamentals of Nonlinear Optics" , CRC Press
B. E. A. Saleh and M. C. Teich, "Fundamentals of Photonics", John Wiley & Sons, Inc.
C.G.Gerry and P.L.Knight, Introductory Quantum Optics
R.W.Boyd, "Nonlinear Optics" (IV ed), Academic Press
P.E.Powers, "Fundamentals of Nonlinear Optics" , CRC Press
B. E. A. Saleh and M. C. Teich, "Fundamentals of Photonics", John Wiley & Sons, Inc.
C.G.Gerry and P.L.Knight, Introductory Quantum Optics
Assessment methods and Criteria
The examination consists of an interview that focuses on the topics covered in the course. During the exam, which lasts an average of 1 hour, both the knowledge and the critical skills acquired by the student in understanding the phenomena of the interaction of the radiation field with nonlinear media, and in the description of modern applications, will be assessed.
Professor(s)
Reception:
tuesday 14:30 - 19:00
Department of Physics, via Celoria 16 Milan (fifth floor, room A/5/C3)