Laser Optics 0800-OPTLAS

http://www.fizyka.umk.pl/~ptarg/dydaktyka.html

Lecture:
1. Measurements of electromagnetic radiation,
1.1 a blackbody radiation.
1.2 Radiometry.
1.2 Photometry.
2. Electromagnetic waves in homogeneous optical media.
2.1 Fundamentals: the plane wave.
2.2 Phenomena at boundaries - Fresnel equations.
3. Electromagnetic waves in inhomogeneous, linear media.
3.1 Wave equation - the eikonal.
3.2 Optical approximation.
3.3 The eikonal equation.
3.4 The Fermat principle.
3.5 The differential (vector) equation of light rays.
3.6 Vector or optical ray curvature, refraction law.
4. Linear optical imaging in matrix formalism
5. Laser resonator and its stability conditions
6. Gaussian Beams
6.1 Properties
6.2 The ABCD Propagation Law (the Kogelnik theorem) for Gaussian Beams
6.3 Gaussian modes of a spherical resonator
7. Modes of active slab waveguide
8. Health and safety rules for work with lasers

Exploratory:
Exploratory teaching will be strictly aligned with the lecture. Problems from the following areas will be solved:
1. Radiometry & photometry
2. Applications of Fresnel equations
3. Applications of differential ray equations to gradient media
4. Derivation of rays in optical systems with matrix optics.

Additionally this course is directly linked with the following experiments at Optoelectronics laboratory:
1. Photometry, spectrophotometry
2. Examination of Gaussian Beams
3. Derivation of the ABCD matrix of an optical system
4. Examination of an optical waveguide

Total student workload

Time with teacher: 65 h - lecture: 30 h - exploratories: 30 h - consultations: 5 h Time for individual work: 85 h - time for preparation to the lecture: 15 h - time for preparation to the exploratories; 20 h - time for preparation to the exam: 30 h - time for preparation to the colloquium: 20 h 150 h in total (5 ECTS)

Learning outcomes - knowledge

W01 - understands the relationship between geometrical (ray) and wave (Maxwell Equations) optics - K_W01: technical physics, 2nd cycle, K_W04: physics, 2nd cycle W02 - understands the validity of optical approximation, the physical meaning of eikonal and ray in optics and knows relations between them - K_W01 technical physics, 2nd cycle, K_W01: physics, 2nd cycle W03 - knows the concept of linear optical imaging - K_W01: technical physics, 2nd cycle, K_W04: physics, 2nd cycle W04 - understands the concept of a Gaussian Beam and physical interpretation of their parameters - K_W01: technical physics, 2nd cycle, K_W05: physics, 2nd cycle W05 - understands difference between stable and unstable mode of optical resonator - K_W01: technical physics, 2nd cycle, K_W04: physics, 2nd cycle W06 - understand phenomenon of mode formation in active slab waveguide - K_W01: technical physics, 2nd cycle, K_W04: physics, 2nd cycle W07 - understand matrix approach to optics with the method of description of elements of optical systems -K_W01: technical physics, 2nd cycle, K_W01: physics, 2nd cycle W08 - knows the stability condition for optical resonators - K_W03: technical physics, 2nd cycle, K_W04: physics, 2nd cycle W09 - knows the ABCD Propagation Law (the Kogelnik theorem) for Gaussian Beams - K_W01: technical physics, 2nd cycle, K_W05: physics, 2nd cycle W10 - understands difference between radiometry and photometry, knows definitions of physical quantities applicable to both fields - K_W03: technical physics, 2nd cycle, K_W03: physics, 2nd cycle W11 - knows health and safety rules for work with lasers incl. classification of lasers according to their ability to produce damage in exposed people - K_W10: technical physics, 2nd cycle, K_W06: physics, 2nd cycle

Learning outcomes - skills

U01 - is able to perform ray tracing in complicated optical systems wit use of matrix optics - K_U01: technical physics, 2nd cycle, K_U01: physics, 2nd cycle U02 - is able to determine whether the laser resonator is stable - K_U02: technical physics, 2nd cycle, K_U01: physics, 2nd cycle U03 - is able to determine stable Gaussian modes of the laser resonator - K_U01: technical physics, 2nd cycle, K_U01: physics, 2nd cycle U04 - hat the ability to use radiometric and photometric quantities - K_U04: technical physics, 2nd cycle, K_U03: physics, 2nd cycle

Learning outcomes - social competencies

K1 - knows the level of his or her knowledge, is able to formulate questions adequately, and understands the need for further education -K_K01: technical physics, 2nd cycle, K_K01: physics, 2nd cycle

Teaching methods

The lecture with presentations in PowerPoint, ptf and simulations in LabView and Mathcad. Exploratory teaching with use of conventional method and simulations in LabView and Mathlab

Expository teaching methods

- informative (conventional) lecture

Exploratory teaching methods

- practical

Online teaching methods

- evaluative methods

Type of course

compulsory course

Prerequisites

Knowledge of vector calculus, incl. applications of differential operators (gradient, divergence, curl, Laplacian) and electrodynamics of linear, homogeneous optical media. Understanding of basic laser physics, incl. stimulated emission phenomenon. Knowledge of basics of geometrical optics, incl. image formation of the thin lens (Gauss method), principle of magnifying glass, lunette, microscop. Phenomena of interference and diffraction.

Course coordinators

Term 2021/22Z:

Term 2022/23Z:

Term 2023/24Z:

Term 2024/25Z:

Assessment criteria

a. exploratory teaching: activity, colloquia, assessing competences:
technical physics: 2st: U01 - U04
Physics, 2nd st; U01..U04
ndst -(<50%)
dst- (>50 %)
dst plus- (>60%)
db- pkt (>70%)
db plus- pkt (>80%)
bdb- pkt (>90%)

b. lecture: oral exam assessing competences: W01 - W11, K01, K02
ndst - (<50%)
dst- (>50 %)
dst plus- … pkt (>60%)
db- (>70%)
db plus- (>80%)
bdb- (>90%)

List of subjects:
1. Radiometry
2. Photometry
3. A blackbody radiation (Planck formula)
4. Properties of plane and spherical electromagnetic wave
5. Fresnel formulas incl. specific cases (formulas will be given)
6. An eikonal - definition, properties, equation of eikonal
7. The Fermat principle - examples (descriptive)
8. The differential (vector) equation of light rays.
9. Fundamental laws of matrix (ABCD) representation of ray tracing
10. Cardinal points of optical system
11. Interpretation of zeros in ABCD matrics
12. Transformation of spherical wave in ABCD optics
13. Transformation of Gaussian Beam in ABCD optics.
14. Basic properties of a Gaussian Beam
15. Modes of a higher order of a Gaussian beam
16. Stability condition of a laser resonator
17. Gaussian modes of an optical resonator
18. Longitudinal Gaussian modes of an optical resonator
19. Modes of a slab resonator
20. Real versus active waveguide
21. Safety classes of lasers.

Practical placement

Not concerns

Bibliography

Literatura podstawowa:
1. M. Born, E. Wolf, Principles of Optics.
2. R. Jóźwicki, Optyka instrumentalna.
3. J. T. Verdeyen, Laser Electronics.
4. A. Gerrard, J. M. Burch, Introduction to Matrix Methods in Optics, (tłumaczenie na rosyjski: Wwedenije w matrithnuju optiku)
5. Glen D. Gillen, Katharina Gillen, and Shekhar Guha, Light Propagation in Linear Optical media
6. B. Ziętek, Lasery
7. B. Ziętek, Optoelektronika
8. http://www.phys.uni.torun.pl/~ptarg > dydaktyka >Optyka laserowa
Literatura uzupełniająca:
1. instrukcje do zadań Pracowni optoelektroniki i fizyki laserów: https://wwwold.fizyka.umk.pl/wfaiis/?q=node/228

Notes

Term 2021/22Z:

None

Term 2022/23Z:

None

Term 2023/24Z:

None

Term 2024/25Z:

None

Additional information

Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system:

Description of 0800-OPTLAS in USOSweb