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Course, academic year 2018/2019
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Optics of periodic structures for photonics - NOOE123
Title in English: Optika periodických struktur pro fotoniku
Guaranteed by: Institute of Physics of Charles University (32-FUUK)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: RNDr. Roman Antoš, Ph.D.
Classification: Physics > Optics and Optoelectronics
Annotation -
Last update: T_FUUK (15.05.2008)
The is focused on electromagnetic optics of periodic nanostructures for dealing with photonic crystals and derived photonic devices and metamaterials. The first part of the course will present the mathematical description of light and optical systems such as bulk materials, thin films, and gratings. The second part will show rigorous and approximate models of the optical response of periodic structures and its interpretation. The final part will introduce applications in photonics and basic methods of optical experiments. Appropriate for master and doctor course studies.
Aim of the course -
Last update: T_FUUK (15.05.2008)

The primary goal of the lecture is to teach students the modern optical theory of periodic nanostructures, which is necessary in the design and analysis of derived optical devices and metamaterials in the frame of photonics.

The secondary goal is to show examples of photonic applications, which are apt to replace traditional optical, electronic, or optoelectronic elements and materials.

The tertiary goal is to show basic experimental methods of optical measurement of periodic nanostructures.

Course completion requirements -
Last update: RNDr. Roman Antoš, Ph.D. (11.06.2019)

Oral exam

Literature -
Last update: T_FUUK (15.05.2008)

R. M. A. Azzam, N. M. Bashara, Ellipsometry and Polarized Light, North-Holland, Amsterdam / New York / Oxford 1977.

M. Born, E. Wolf, Principles of Optics, Cambridge University Press, Cambridge 1999.

R. Petit (ed.), Electromagnetic Theory of Gratings, Springer-Verlag, Berlin 1980.

M. Neviere, E. Popov, Light Propagation in Periodic Media: Differential Theory and Design, Marcel Dekker, New York 2003.

J.-M. Lourtioz et al., Photonic Crystals: Towards Nanoscale Photonic Devices, Springer-Verlag, Berlin 2005.

K. Yasumoto (ed.), Electromagnetic Theory and Applications for Photonic Crystals, CRC Press, Taylor & Francis, 2006.

Teaching methods -
Last update: T_FUUK (15.05.2008)


Requirements to the exam -
Last update: RNDr. Roman Antoš, Ph.D. (11.06.2019)

knowledge of the topics explained at lectures

Syllabus -
Last update: T_FUUK (15.05.2008)

1. Description of light states and propagation of light through optical systems. Polarization and space modulation of light, Jones and Mueller matrix formalisms, Poincaré sphere. Elements of diffraction theory and Fourier optics.

2. Interaction of light with matter. Light propagation in homogeneous media. Index of refraction, coefficient of absorption, conductivity and permittivity. Dispersion properties of materials, Kramers-Kronig relations. Crystalline and induced anisotropies. Magnetooptics.

3. Optics of interfaces, thin films, and multilayers. Fresnel and Airy formulae of reflection and transmission. Matrix description of light propagation through stratified structures. Periodic multilayers and one-dimensional photonic crystals. Bulk and surface plasma oscillations in metallic films.

4. Rigorous electromagnetic treatment of light in inhomogeneous media. Coupled wave theory of periodic structures. Fast Fourier factorization rules for accurate transcription of Maxwell's equations into a matrix representation suitable for computer simulations.

5. Analytical approximations for special cases. Subwavelength, ultrathin, shallow, and long-periodic gratings; periodic structures made of transparent or highly absorbing materials.

6. The interpretation of the optical response of gratings, photonic crystals, and derived metamaterials. Planar, conical, and three-dimensional diffraction by gratings. Effective index of refraction. Spectral anomalies of gratings. Anisotropies induced or modified by grating periodicity; Kerr and Faraday effects.

7. Fundamentals of photonic crystals. Photonic band structure, photonic band gap, and related optical properties. Magneto-photonics.

8. Application to modern optical devices and metamaterials based on periodic nanostructures. Photonic mirrors, waveguides, fibers, resonators, optical filters, negative refraction index devices.

9. Basic methods of experimental optical measurements. Spectroscopic photometry, ellipsometry, and magnetooptics. Optical scatterometry.

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