University Of New Mexico PHYC/ECE 568: NONLINEAR OPTICS
University of New MexicoPHYC/ECE 568: NONLINEAR OPTICSSpring 2020OPTICAL SCIENCE & ENGINEERINGUniversity of New MexicoTextbookInstructor: Mansoor Sheik-BahaeOffice: PAIS, Room 2220Phone: 226-3693 e-mail: msb@unm.eduOffice Hours: Make an appointment or stop by.The final grade is weighted as follows: Midterm Exam: 45% Final Project (paper presentation): 40% Homework: 15% (nearly every 2 weeks)4th edition will be out in MarchTA: Mingyang Zhangmyzhang@unm.edu
Course Syllabus Introduction (historical overview, applications of NLO) Nonlinear Susceptibilities (c(2) and c(3) processes, nonlinear refraction and absorption) Classical Anharmonic Oscillator Model Properties of Nonlinear Susceptibilities (symmetries, Kramers-Kronig dispersion relations) Wave Propagation in NLO Media (coupled amplitude equations for c(2) processes, phase matching, second harmonicgeneration, sum and difference frequency generation, optical parametric processes, cascading nonlinearities) Quantum Mechanical Treatment of Nonlinear Susceptibilities c(3) Processes (electronic, vibrational and rotational effects, optical Kerr effect, self-focusing, wave-mixing, bistability,phase-conjugation, beam coupling, solitons) Photo-Refractive Nonlinearities Stimulated Light Scattering (stimulated Raman, Brillouin, and Rayleigh scattering) Recent advances in ultrafast NLO (high-harmonic generation, atto-physics, terahertz)OPTICAL SCIENCE & ENGINEERINGUniversity of New Mexico
What is Nonlinear Optics?At low intensities light beams cross without any interaction (linear optics) 2𝐸 𝑃 𝜖0 𝜒1𝐸1 2 𝐸 2 𝑃 𝜇0 𝑡 2𝑐 2 𝑡 2Light beams interact with each other, or themselves at high intensities (nonlinear optics)𝑃 𝜖0 (𝜒1𝐸 𝜒 1 22𝐸2 𝜒3𝐸3 ) 1 2, 2 1 , 2 2 , 3 1 , wave mixingPrimary Manifestations: sum, difference, harmonic frequency generation (new frequencies) modulating refractive index and absorption coefficient; examples: n n0 n2 I 0 IOPTICAL SCIENCE & ENGINEERINGUniversity of New Mexico
n n0 n2 I 0 IOptical Computers !OPTICAL SCIENCE & ENGINEERINGUniversity of New Mexico
1961: NLO was born!𝑃 𝜖0 𝜒University of MichiganPeter Franken (1929-1999)2𝐸2
Second Harmonic Generation (SHG): Green Laser PointerOPTICAL SCIENCE & ENGINEERINGUniversity of New Mexico
1961: NLO was born!𝑃 𝜖0 𝜒3𝐸3𝛼 𝛼0 𝛽𝐼Two-photon absorptionOPTICAL SCIENCE & ENGINEERINGUniversity of New MexicoLinear (one-photon)fluorescenceTwo-photonfluorescence (TPF)Three-photonfluorescence (3PF)
Two-photon microscopyOPTICAL SCIENCE & ENGINEERINGUniversity of New MexicoTwo-photon polymerization
Theoretical FoundationsMaria Goeppert-Mayer (June 28, 1906 – February 20, 1972)Two-photon absorption theory (1931, doctoral dissertation)h 0 Ih OPTICAL SCIENCE & ENGINEERINGUniversity of New MexicoAwarded the Nobel Prize in Physics in 1963, shared with J. Hans D. Jensen and Eugene Paul Wigner.
Theoretical FoundationsNicholas Bloembergen1962- 2017Nobel Prize in Physics, 1981OPTICAL SCIENCE & ENGINEERINGUniversity of New Mexico(July 2011) in Hawaii (NLO Meeting)
NLO: A thriving field with multiple applicationFemtosecond Lasers, Frequency Combs and Optical ClocksOPTICAL SCIENCE & ENGINEERINGUniversity of New Mexico
Extreme Nonlinear Optics (X-ray bursts, attosecond pulses, and laser fusion)OPTICAL SCIENCE & ENGINEERINGUniversity of New Mexico
Other Historical Perspectives (19th Century)Michael Faraday Faraday Effect (magneto-optic) - 1845:𝐵𝜃 𝑉 𝐵 𝐿𝑉 𝑖𝑠 𝑡ℎ𝑒 𝑉𝑒𝑟𝑑𝑒𝑡 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡John Kerr Kerr Effect- 1875: Pockels Effect- 1893: n r n 3 EOPTICAL SCIENCE & ENGINEERINGUniversity of New MexicoFriedrich Pockels
Other ReferencesHandbook of Nonlinear OpticsRichard SutherlandPhotonics: Optical Electronics in ModernCommunicationsAmnon Yariv and Pochi YehFundamentals of Nonlinear OpticsPeter Bowers
PHYC/ECE 568: NONLINEAR OPTICS University of New Mexico Spring 2020 myzhang@unm.edu 4th edition will be out in March . Handbook of Nonlinear Optics Richard Sutherland Fundamentals of Nonlinear Optics Peter Bowers Photonics: Optical Electronics in Modern Communications Amnon Yariv and Pochi Yeh Other References.
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