Guided electromagnetic waves

Lecturer:

Jiří Čtyroký (gar.)

Tutor:

Jiří Čtyroký (gar.)

Supervisor:

Department of Physical Electronics

Synopsis:

Fundamentals of electromagnetic theory of propagation of microwave and optical radiation in metallic and dielectric waveguides. Cavity resonators. Open laser resonators, Gaussian beams. Dispersion of waveguides. Kerr nonlinearity, nonlinear Schrödinger equation, soliton propagation in optical fibres. Periodic waveguides, Bloch modes, physical origin of photonic bandgap. Surface plasmon as a guided wave.

Requirements:

Physical optics 1, Electrodynamics

Syllabus of lectures:

1.Basic theorems of vector analysis. Maxwell equations, vector and scalar potentials, Hertz vectors in sourcefree media. Time-harmonic fields. Boundary conditions at the interface between two media.

2.Metallic waveguides. Waves guided by two perfectly conducting sheets. Cylindrical metallic waveguides of general cross-sections. TE and TM modes, critical frequency. Mode orthogonality. Rectangular and circular waveguides. Two-conductor transmission line, TEM mode. Waveguide loss due to finite conductivity. Waveguide as a transmission line. Fundamentals of microwave circuit theory, definitions and properties of impedance, admittance and scattering matrices.

3.Cavity resonators, eigenmodes and eigenfrequencies, quality factor.

4.Parabolic equation, Gaussian beams, higher-order beams. ABCD matrix of an optical sytem. Open resonators, stability diagram, eigenmodes and eigenfrequecies. Unstable resonators, diffraction theory.

5.Fresnel formulae. Planar dielectric waveguide, wavetheory, TE and TM modes. Ray-optic theory of multimode waveguides, phase space and mode number. Waveguide acceptance. Guided and leaky modes.

6.Fundamentals of scalar wave and electromagnetic theories of optical fibres, dispersion equations. Klassification of modes, propagation constants.

7.Dispersion of multimode and single-mode waveguides, transmission bandwidth. Dispersion management, pulse shaping. Influence of Kerr nonlinearity, nonlinear Schrödinger equation, soliton propagation.

8.Wave propagatin in periodic media, Floquet-Bloch modes. Physical origin of photonic bandgap.

9.Surface plasmon on metal-dielectric interface as a guided wave.

Syllabus of tutorials:

Derivation of mode field distribution in rectangular waveguides and cavity resonators.

Study Objective:

To master theoretical fundamentals and to familiarize with basic properties of propagation of electromagnetic waves in metallic and dielectric guided-wave structures.

Study materials:

1. Copies of presentations (handouts) from lectures, www.ufe.cz/~ctyroky/fjfi/ved

2. Lončar, G., Elektrodynamika I, II. skriptum. 1990, Praha: Ediční středisko ČVUT.

3. Stratton, R.A., Teorie elektromagnetického pole. 1961, Praha: SNTL.

4. Collin, R.E., Field theory of guided waves. second ed. 1991, New York: IEEE Press.

5. Saleh, B.E.A. and M.C. Teich, Fundamentals of photonics. 1991, New York: J.Wiley & Sons.

6. Kogelnik, H. and T. Li, Laser beams and resonators. Applied Optics, 1966. vol. 5, p. 1550-1567.

7. Unger, H.-G., Planar optical waveguides and fibres. 1977, Oxford: Clarendon Press.

8. Cancellieri, G., Single-mode optical fibres. 1991, Oxford: Pergamon Press.

9. Agrawal, G.P, Nonlinear fiber optics, 3rd edition, 2001, Academic Press.

10. J.D.Joannopoulos, R.D. Meade, J.N. Winn, Photonic crystals: molding the flow of light. 1995, Princeton.

11. S.G.Johnson, J.D.Joannopoulos, Photonic crystals: the road from theory to practice. 2003, Kluwer.

12. H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings, 1988, Springer.

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: