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Curricular information is subject to change
You will acquire a fundamental and interconnected understanding of geometric and laser optics, Fourier methods and spectroscopy. By nature of being fundamental physics, this is broadly applicable across industries and science.
Indicative Module Content:1. Background and ray optics.
A background is given on complex numbers, waves and rays. We consider refraction, reflection, lenses and imaging using rays.
2. Rays and Lasers, a unified approach.
We unite geometric optics with diffractive laser optic. Using a straight forward but powerful matrix tool, we investigate the behaviour of lenses and lens systems and we explore the idea of principal planes. We then apply the same methods to predict the behavioiur of lasers beams and primary properties of laser cavities. We also discuss geometric aberrations.
3. The Fourier transform in optics and lasers.
We introduce the complex Fourier transform and relate it to the optics of free propagation, a single lens and a telescope. We explore the scaling theorem, delta functions, a spatial or temporal displacement relating to a Fourier linear phase and visa-versa. We develop a Fourier understanding of interference from experiments such as Young's slits and diffraction gratings, and we consider diffraction from hard and soft apertures. We go on to derive and use the convolution theorem in one and two dimensions and the associated OTF, PSF and MTF. We consider applications of convolution, for example to understand fluorescence and the temporal output of a pulsed laser. Finally, we consider dispersion, group and phase velocity.
4. Coherence and spectroscopy.
We explore coherence and visibility in spectroscopy using our learning from themes 2 and 3. We arrive at criteria for observation such as rayleigh, Strehl and Sparrow, resolving power and finesse. We consider the Fresnel zone plate and the effects of a partial degree of coherence.
Student Effort Type | Hours |
---|---|
Lectures | 22 |
Small Group | 10 |
Specified Learning Activities | 44 |
Autonomous Student Learning | 44 |
Total | 120 |
Irish/UK/US introductory-level maths for university engineering/physics, or equivalent level, to include: algebra, geometry, trigonometry, integral and differential calculus of algebraic and trigonometric functions including up to second-order differential equations
Learning Recommendations:PHYC 20010
Description | Timing | Component Scale | % of Final Grade | ||
---|---|---|---|---|---|
Examination: Written exam at end of semester | 2 hour End of Trimester Exam | No | Graded | No | 50 |
Continuous Assessment: Homework | Varies over the Trimester | n/a | Graded | No | 50 |
Resit In | Terminal Exam |
---|---|
Summer | Yes - 2 Hour |
• Group/class feedback, post-assessment
Assessment and feedback is synchronised weekly with the delivery of our module materials. You are assigned a worksheet (WS) each week that exercises the week's materials. Later in the weekly cycle you submit your solutions. Your worksheet is returned to you graded in the subsequent session, followed by Q&A with me focused to addressing your questions on your worksheet. We then introduce your next worksheet. We hold an assessed session of Q&A weekly, in which we address any questions you have in sync with the module delivery, with a focus to HW. Forming good questions is core to science because asking the right question is halfway to a useful answer. Grades are awarded to students that raise the best Q’s (rated on your physical insight and the benefit to class learning), or that engage in discussions most helpful for class learning. To make the most of Q&A, you will be doing all your assigned HW in sync with the module delivery. Your learning from all sessions and module materials is assessable in our final exam.