university of new mexico phyc/ece 568: nonlinear opticsmsbahae.unm.edu/courses/568 nonlinear...
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Instructor: Mansoor Sheik-Bahae
Office: PAIS, Room 2220
Phone: 226-3693 e-mail: [email protected]
Office Hours: Make an appointment or stop by
TA: Mingyang Zhang
Textbook
The final grade is weighted as follows:
Midterm Exam: 45%
Final Project (paper + presentation): 40%
Homework: 15% (nearly every 2 weeks)
OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING University of New Mexico
PHYC/ECE 568: NONLINEAR OPTICSUniversity of New Mexico
Spring 2020
4th edition will be out in March
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 harmonic
generation, 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 & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING University of New Mexico
Course Syllabus
What is Nonlinear Optics?
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At low intensities light beams cross without any interaction (linear optics)
Light beams interact with each other, or themselves at high intensities (nonlinear optics)
1 ± 2, 21 , 22 , 31 , …
Primary Manifestations: • sum, difference, harmonic frequency generation (new frequencies)• modulating refractive index and absorption coefficient; examples:
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𝛻 2𝐸 −1
𝑐2𝜕2𝐸
𝜕𝑡2=𝜇0
𝜕2𝑃
𝜕𝑡2
𝑃 = 𝜖0(𝜒1 𝐸 + 𝜒 2 𝐸2 + 𝜒 3 𝐸3 +⋯)
𝑃 = 𝜖0𝜒1 𝐸
wave mixing
OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING University of New Mexico
Optical Computers !
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OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING University of New Mexico
1961: NLO was born!
Peter Franken (1929-1999)
University of Michigan
𝑃 = 𝜖0𝜒2 𝐸2
Second Harmonic Generation (SHG): Green Laser Pointer
OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING University of New Mexico
1961: NLO was born!
Linear (one-photon)fluorescence
Two-photonfluorescence (TPF)
Three-photonfluorescence (3PF)
𝑃 = 𝜖0𝜒3 𝐸3
𝛼 = 𝛼0 + 𝛽𝐼
Two-photon absorption
OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING University of New Mexico
Two-photon microscopy
Two-photon polymerizationOPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING University of New Mexico
Theoretical Foundations
Maria Goeppert-Mayer (June 28, 1906 – February 20, 1972)
Two-photon absorption theory (1931, doctoral dissertation)
h
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Awarded the Nobel Prize in Physics in 1963, shared with J. Hans D. Jensen and Eugene Paul Wigner.
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OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING University of New Mexico
Nicholas Bloembergen1962- 2017
Theoretical Foundations
Nobel Prize in Physics, 1981
(July 2011) in Hawaii (NLO Meeting)OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING University of New Mexico
Femtosecond Lasers, Frequency Combs and Optical Clocks
OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING University of New Mexico
NLO: A thriving field with multiple application
Extreme Nonlinear Optics (X-ray bursts, attosecond pulses, and laser fusion)
OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING University of New Mexico
Other Historical Perspectives (19th Century)
Faraday Effect (magneto-optic) - 1845:
Kerr Effect- 1875:
Pockels Effect- 1893:
Michael Faraday
John Kerr
Friedrich Pockels
𝜃 = 𝑉 × 𝐵 × 𝐿
𝐵
𝑉 𝑖𝑠 𝑡ℎ𝑒 𝑉𝑒𝑟𝑑𝑒𝑡 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡
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OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING OPTICAL SCIENCE & ENGINEERING University of New Mexico
Handbook of Nonlinear OpticsRichard Sutherland
Fundamentals of Nonlinear OpticsPeter Bowers
Photonics: Optical Electronics in Modern Communications Amnon Yariv and Pochi Yeh
Other References