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    Branch programme/details

    Optics and Optoelectronics (0533TA110022)

    Faculty: Faculty of Mathematics and Physics
    Study programme: Optics and Optoelectronics (N0533A110022)
    Form of study: full-time
    Type of study: Master's (post-Bachelor)
    Language of instruction: English
    Standard length of study: 2 years
    Application type: Online, Paper

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      Application submission date: 30.04.2024
      Note on date: Programme without specializations.
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      Charge for an on-line application: 1500 CZK
      Charge for a paper application: 1500 CZK
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      Particle physics (high-energy, subnuclear physics) investigates the structure of matter on the level of elementary particles and their fundamental interactions. Nuclear physics studies the structure of atomic nuclei and more generally the behaviour of finite quantum systems of mutually interacting particles. The study is based on comprehensive courses of theoretical and experimental particle and nuclear physics, based on extensive courses of quantum mechanics and quantum field theory. The emphasis is put on mastering the relevant computational techniques and managing the methods of acquisition and evaluation of experimental data, including an efficient use of computing and advanced software tools. With the aid of optional courses and the Master thesis project, the students gain deep knowledge in a selected area and choose orientation to theory or experiment.
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      **Conditions for Admission**

      The goal of the admissions review process is to select from the pool of applicants those individuals who have shown the capability and diligence expected of Charles University students. To apply for our Computer Science, Mathematics or Physics Master's programmes given in English you must
      • hold or be working towards a Bachelor’s or Master’s diploma and provide a certified copy thereof;
      • have sufficient academic background in the relevant fields;
      • have sufficient command of the English language; this can be demonstrated by providing your results in one of the standardized English tests that we recognize (see below for details).

      **Bachelor’s or Master’s Diploma**

      Each applicant into a Master’s programme must deliver an officially authorized copy of a Bachelor’s or Master’s diploma, or a confirmation of a faculty or university concerning a successful completion of Bachelor’s or Master’s studies. This requirement does not apply to students and graduates of Bachelor’s or Master’s studies at the Faculty of Mathematics and Physics of Charles University.
      The applicants who graduated from a higher education institution abroad must deliver one of the following documents in order to prove their previous education:

      - a document about a general recognition of foreign higher education in the Czech Republic obtained according to § 89 and 90 of the higher education law of the Czech Republic (so called "nostrification"), or
      - a foreign document about a foreign higher education if it is automatically recognized in the Czech Republic, according to its international agreements, without further official processing (diploma and diploma supplements from Slovakia, Poland, Hungary, Slovenia), or
      - a foreign document about completing higher education which will be assessed by the faculty itself (no fee is being charged).

      Detailed information on how the condition of obtaining a previous Bachelor’s or Master’s degree should be proven by the alumni of foreign higher education institutions, as well as additional information, may be found on faculty "webpages": The officially authorized documents must be physically sent to the Study Office of the Faculty of Mathematics and Physics preferably by June 30, 2024, and by September 30, 2024, at the latest. If you do not deliver the document about a completed education, you will be neither accepted nor enrolled for Master’s studies.

      In addition to this, depending on the programme for which you are applying, you also must

      • have sufficient academic background in the relevant fields (see below for details); this can be demonstrated by providing transcripts (academic records) of your previous education accompanied by syllabi of the completed courses.
      **You are also welcome to accompany your application by:**

      • a statement of purpose in which you describe your reasons for applying to the proposed programme, your study, and possibly also research interests and future career plans;

      • letters of recommendation from professors and employers who can comment on your recent professional accomplishments and your qualifications for pursuing a master’s degree in mathematics, computer science or physics. You should arrange for letters of recommendation to be sent directly by your referees to the email address by May 31, 2024 at latest.

      Please ask your referees to state “Recommendation letter for [your name], CS/Math/Physics programme” in the Subject of the email.

      **Academic background**

      In this paragraph we summarize the minimum knowledge required for applicants in the various study programmes and study branches offered at our faculty.

      **Master’s Degree in Physics**

      You must have sufficient academic background in the relevant fields (see below for details); this can be demonstrated by providing transcripts (academic records) of your previous education accompanied by syllabi of the completed courses.

      **Common requirements:** a sound background in physics, i.e., in mechanics, molecular physics, electricity and magnetism, electrodynamics, optics, theoretical mechanics, thermodynamics, statistical physics, atomic physics, and quantum theory. Appropriate knowledge of mathematical apparatus is expected.

      Study programme **Particle and Nuclear Physics:** Common requirements + basic knowledge of nuclear and particle physics and intermediate knowledge of quantum mechanics.

      Nuclear and particle physics: Knowledge on the level of an elementary course of nuclear and particle physics (main features and basic models of atomic nuclei, nuclear decays and reactions, elementary particles and their interactions, principles of modern particle experiments and accelerators).

      Quantum mechanics: Knowledge on the level of an intermediate course of non-relativistic quantum mechanics (basic formalism based on the Hilbert space, stationary and nonstationary problems, perturbative approaches, theory of angular momentum, basic scattering theory, systems composed of identical particles and second-quantization formalism).

      Study programme **Atmospheric Physics, Meteorology and Climatology:** Common requirements +

      Hydrodynamics - ideal and real fluids motion, concepts of flow field, hydrodynamic equations, viscous fluid flow.

      Meteorology and Climatology - basic characteristics of meteorological elements and physical interactions in the climate system.

      Study programme **Surface and Plasma Physics:** Common requirements + fundamentals of condensed matter physics, kinetic theory of gases, and plasma physics.

      Study programme **Physics of Condensed Matter and Materials:** Common requirements + Fundamentals of condensed matter physics - atomic and electronic structure of matter, basics of quantum physics, experimental methods in condensed matter physics.

      Study programme **Optics and optoelectronics:** Common requirements + fundamentals of Fourier optics, gaussian beams, radiation detectors and methods of measurements of optical properties of matter.

      Study programme **Biophysics and Chemical Physics:** Common requirements +

      Quantum theory - formal scheme of quantum theory, angular momentum. approximate methods - variational and perturbation methods, structure of atomic spectral lines, many-body problem. Fundamentals of quantum electrodynamics (non- relativistic theory) and of scattering theory.

      General chemistry -Atomic and molecular masses, isotopes, solutions, concentrations, state functions, partial molar quantities, chemical potential, phase and chemical equilibrium.

      Academic records demonstrating the necessary background must show the dates of enrolment and the subjects or courses taken, together with the units of credit or time allotted to each subject. These records must also include a complete description of the institution’s grading scale or other standard of evaluation. Unless academic records and diplomas are routinely issued in English by the institution concerned, the official records in their original language must be submitted with an authorized, complete, and exact English translation.

      **English Language Proficiency**

      An applicant must have an adequate command of English in order to enroll on an English-taught programme at Charles University. Proficiency in English may be demonstrated by one of the standard language tests listed below; any language test results should not be older than two years. Students who have completed at least two years of their previous education with English as the sole language of instruction in Australia, Canada, India, Ireland, Malta, New Zealand, UK, Republic of South Africa or USA are exempt from this requirement. Applicants who provide us with comparable qualifications demonstrating proficiency in English (i.e., CEFR level C1) also meet our requirements.

      The table below lists the various tests of English that we recognize, and gives the minimum score that should be obtained.

      **Test Minimum Score:**
      TOEFL iBT 85
      TOEFL Essentials 9 Pass
      TOEIC Listening and Reading 750
      The International English Language Testing System (IELTS) 6.5
      Cambridge B2 First 180 (Grade A)
      Cambridge C1 Advanced Pass
      Cambridge C2 Proficiency Pass
      The European Language Certificates (TELC) English C1 Pass
      UNIcert English for Mathematicians Level C1 Pass
      Duolingo 105
      Michigan English Test (MET) 64
      Examination for the Certificate of Proficiency in English (ECPE) Pass
      General State Language Examination in English in the Czech Republic Pass
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      Admission to Master's studies is conditioned by completed secondary education confirmed by a school-leaving certificate. Admission to Post-Bachelor studies (Master's programme) is likewise conditioned by completed education in any type of study programme.

      Verification method: other form
      Confirmation date (of entrance exam) from: Until:
      Alternative date (of entrance exam):
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      Graduates have a sound theoretical and experimental knowledge of classical and quantum optics and optoelectronics. They have mastered the mathematical modelling of physical processes in optics and
      optoelectronics. They can apply the knowledge and competences they have gained in research and scientific activities in optical disciplines as well as in a large number of fields where optics or optical
      spectroscopy are used (biology, chemistry, medicine). Their education in physics combined with a mastery of computer programming, information technologies and organization of scientific team
      collaboration enhances the chances of these graduates finding employment in research at universities and research institutes and in industry. Graduates are fully qualified to continue with their studies in
      postgraduate programmes.
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      Tuition [EUR] / per period: 6800 EUR / year
      Note on tuition [EUR]: The tuition fee for students from the EU/EEP/Ukraine is 4000 EUR/per academic year.