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Course: Wave and Geometrical Optics 1

Department/Abbreviation: OPT/VPO1X

Year: 2021

Guarantee: 'prof. RNDr. Zdeněk Bouchal, Dr.'

Annotation: Description and properties of electromagnetic radiation, basic types of optical media and their use Solution of Maxwell equations in ray optics approximation. Fundamentals of beam and Fourier optics.

Course review:
1. Description and properties of electromagnetic radiation, basic types of optical media and their use. 2. Solution of Maxwell equations in ray optics approach, eikonal and ray equations, Fermat´s principle and its application, vectorial form of the refraction law. 3. Description of light propagation in non-homogeneous media, laminar media and media with spherical symmetry of the refractive index (Lunneburg and Maxwell lenses). 4. Media with cylindrical symmetry of refractive index, paraxial analysis of gradient lenses and fibers, OSLO simulations of gradient elements. 5. Matrix optics and its use for paraxial imaging and analysis of resonator stability. 6. Paraxial optical beams, basic parameters and properties of Gaussian beams. 7. Measurement of laser beams, determining waist radius, angular divergence and M2 factor. 8. Matrix transformation of Gaussian beams, optimal focusing and collimation, design of laser beam expanders. 9. Nonstandard types of paraxial beams, their properties and use, description and properties of H-G and L-G beams. 10. Nondiffractive beam solutions to Helmholtz equation and their experimental implementation, description and properties of Bessel beams. 11. Fourier representation of optical signal, free-space propagation of light, impulse response function and optical transfer function. 12. Quadratic phase of refractive lenses, optical implementation of Fourier transform, 4-f system and its use in spatial spectrum filtering.