For the field of Technical Physics:
General knowledge
Movement in Newtonian and relativistic mechanics.
Principles of behavior and symmetries in physics.
Classical and quantum harmonic oscillator.
Physical content of Maxwell's equations and the wave equation.
Properties of electromagnetic waves.
Wave interference and diffraction.
Laws of thermodynamics.
Entropy in terms of thermodynamics and statistics.
Classical and quantum statistical distributions.
Structure of matter.
Wave-particle duality and its experimental confirmation.
Hamiltonian in classical and quantum mechanics.
Schrödinger equation dependent and independent of time.
Fundamentals of quantum formalism - physical quantities, states, operators.
Quantum description of the hydrogen atom. Quantum numbers.
Fundamentals of relativistic physics.
Expertise knowledge
Specialization: Data Mining and Interdisciplinary Modeling
Cellular automata.
Basic theorem of genetic algorithms.
Scaleless networks.
Agent dynamics of opinion.
Hopfield neural network.
Naive Bayesian classifier.
Methods of studying signals in the domain of time and frequency.
Synchronization in nonlinear dynamical systems.
Fokker-Planck equation.
Fractal and multifractal methods of signal analysis.
Mean field theory for the Ising model.
The phenomenon of symmetry breaking in real systems: examples, models.
Mutual information in data processing and transmission.
Methods of dimension reduction in data mining.
Methods of statistical inference.
Shamir's algorithm for sharing secrets in cryptography
Specialization: Medical Physics
Basic cell organelles and selected methods of studying these structures.
Human thermodynamics: entropy, heat transport mechanisms, cross processes.
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The role and properties of relaxation oscillations in living systems.
Synchronization as a nonlinear phenomenon in biology.
Methods of studying signals in the domain of time and frequency.
Main detection techniques and types of ionizing radiation detectors.
Medical charged particle accelerators.
Dose distribution in the water phantom irradiated with a therapeutic photon beam.
Basic quantities, units and dosimetric standards.
IMRT technique and reverse planning in radiotherapy.
Photon vs. proton radiotherapy - advantages and disadvantages.
Action potential. Electrical phenomena in living organisms.
Myocardial conduction disturbances: related conditions and treatments.
Thermovision methods in medicine.
Eye defects and vision correction methods.
Specialization: Nuclear Physics and Technology
Elementary particles and fundamental interactions.
Potential of strong interactions.
Asymptotic freedom and confinement of quarks.
Space and time evolution of the nuclear collision reaction.
Phase diagram of strongly interacting matter.
Quark-gluon plasma.
The interaction of ionizing radiation with matter.
Techniques of ionizing radiation detection.
Radioactive transformations and series.
Dirac equation.
Nuclear forces and models of the atomic nucleus.
Charged particle accelerators.
Neutrons, their sources, interactions and detection.
Basic quantities, units and dosimetric standards.
Types of nuclear power reactors, their design, operation and safety systems.
New solutions in nuclear energy.
Specialization: Applied Optics
Wave superposition. Temporal and spatial frequencies.
Dispersion of electromagnetic waves in media.
Light polarization.
Coherence of light.
Holography. Examples of holograms.
Fresnel and Fraunhofer diffraction.
Waveguides.
Nonlinear phenomena in optics.
Fiber optic sensors.
Properties of light beams.
Absorption and emission of light.
The interaction of light with matter.
Laser as a light source.
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The electromagnetic field in quantum description.
Comparison of the geometric and wave description of light propagation.
Specialization: Physics of Advanced Materials
Band structure of solids and methods of its determination.
Low-dimensional structures and their characteristic features.
Phonons.
Base absorption edge in semiconductors.
Magnetic properties of diamagnets, paramagnets and ferromagnets.
Semiconductor devices: diode, laser, photovoltaic cell.
Phase transitions of the first and second kind. Homogeneous and heterogeneous nucleation.
Electron and atomic force microscopy.
X-ray methods of material testing.
Calorimetric methods for testing materials.
Methods of obtaining and testing low-dimensional structures.
Quantum dots: methods of obtaining and application.
Quantum Hall effect.
Electronic transport in quantum structures. Coulomb blockade.
The phenomena of giant and tunnel magnetoresistance.
Carbon nanotubes, graphene - physical properties and methods of obtaining
In field of Photonics:
General knowledge:
Light as electromagnetic wave.
Physical interpretation of Maxwell's equations and wave equation.
Interference and diffraction of waves.
Polarization of light.
Dispersion of electromagnetic waves in media.
Interaction between light and matter.
Wave-particle duality and its experimental confirmation.
Hamiltonian in classical and quantum mechanics.
Classical and quantum harmonic oscillator.
Time-dependent and time-independent Schrödinger equation.
Fundamentals of quantum formalism - physical quantities, states, operators.
Quantum description of hydrogen atom. Quantum numbers.
Coherence of light.
Holography and holograms.
Light beams.
Expertise knowledge:
Superposition of waves. Spatial and temporal frequencies.
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Fresnel and Fraunhoffer diffraction.
Liquid crystals.
Optical fibers.
Planar optical waveguides.
Nonlinear effects in optics.
Fiber and waveguide sensor.
Diffractive optical elements.
Interferometers and their applications.
Absorption and emission of light.
Principles of operation of laser.
Electromagnetic field as a quantum structure.
Light propagation in geometrical and wave description.
Sampling and its application in optical information processing.
Optical transforms.
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3. Recommendations for the content of the work
3a. Language requirements
Correct language, good style, adherence to grammar rules, and correct punctuation are desirable thesis features. Problems with style, grammar, and spelling are a common cause of lowering the level of the thesis. The text should be clear and communicative, sentences understandable and relatively short, containing only one thought. Authors should avoid too flowery language, too long, or too succinct wording of thoughts. Grammatical and spelling doubts can be solved using dictionaries. It is recommended to use rather British than American English.
3b. Content of the thesis
Most often, the documentation of the diploma thesis consists of the following parts:
The initial part - includes the title page of the documentation, abstracts, statements on the self-execution, and granting a license to the University to work, possibly thanks, table of contents.
Introduction - a short (2-3 page) introduction and justification for selecting the topic of work. In addition, it should include: clearly defined purpose and motivation of the work, reference to other works in the studied area, clearly formulated technical or methodological assumptions that the student has met.
Analytical part - which is an introduction to the issues, analysis of literature sources in the field of the topic under study, review of possible solutions, their advantages and disadvantages in the context of the problem at hand, and a review of tools (e.g., measurement, programming) or methods used when working on similar issues.
Synthetic part - constituting a direct description of the assumptions adopted and selected methods of work implementation and the justification for their choice.
Verification part - describing the methodology and assessment of the correctness of the adopted solution and a quantitative statement of the most important results with conclusions.
Endings - is a summary of the work and the task being solved. The conclusion should include a presentation of findings, reference to individual chapters of the work, and an indication of any recommended directions for further work on the undertaken task.
Bibliography - containing a set of all cited publications in the order of citation
Lists - of markings, abbreviations, figures, tables
List of attachments - is a collection of materials to which the author refers to thesis and which, due to their length, would disrupt the transparency of the argument (photos, specifications of software and measuring instruments, precise
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Attachments - in the form of a digital carrier or a separate text or graphic development
3c. Guidelines for authors of works
The author of the master's thesis project should pay special attention to, among others:
the thesis must present the results of a self-performed research task under the direct care of the supervisor.
indication of the existence of other possibilities of solving the given problem/task,
description and justification of the chosen method of solving the problem proving the theses
the fact that the presented solution is not exhaustive and may be the basis for further considerations,
description of the difficulties encountered in the implementation of the project,
critical evaluation of test results.
The thesis author is obliged to analyze and interpret the obtained results in the context of the current literature. The work should go beyond the methods and solutions of the given task known in the literature.
3d. The volume of the thesis
The master's thesis documentation (introduction + chapters + ending) usually contains between 50 and 100 pages and includes no less than four and no more than seven chapters. However, deviations from these values are possible if they are justified in the content of the study.
A necessary formal requirement is to maintain the correct volume structure of the thesis: the weight and scale of the problems undertaken should be such that the volume of individual chapters is proportional to the entire dissertation. The graduate student's description of the thesis done independently should constitute at least half of the master's project documentation volume.
3e. Layout and page numbering
The work should be printed on both sides. Remember to set the appropriate margins considering the binding: mirror inside margins 10 mm wider for duplex printing.
Recommended values are 25 mm for the top and bottom margins, 20 mm for the outer margin, and 30 mm for the inner margin.
In the page numbering, we consider all pages, starting from the title page, which is given the number 1. It is recommended to put the page numbers in the footer starting (only) from the first page of the main content (i.e., the introduction). This page should be an odd page. The following pages should also be odd numbers: the abstract in the
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thesis language and statements and the first page of the table of contents (an appropriate number of blank pages should be added).
Numbers must be placed on the bottom outer side (i.e., right for odd pages and left for even pages). Pages are numbered with Arabic numerals written in the same font as the work, with no spaces from the top and bottom.
3f. Thesis binding
The required form of binding the work is a standardized cover available in the Dean's office.
The cover is made of 250g cardboard, 2xA4 + spine
Cover background color - white
Color of the elements identifying the University and the mark of the type of thesis – plum color (Pantone 681C and 681U; CMYK 40, 70, 20, 0; RGB 150, 95, 119)
A minor element defining the basic field of the faculty's activity related to the offered fields of study
- for the group of "mathematics and physics" faculties - plum color
The inscription in black in two lines - "Master's thesis."
Font Adagio_Slab Medium 15/23 pt in all caps with a separation of 1,3
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