Advanced techniques utilizing vector calculus, series expansions, contour integration, integral transforms (Fourier, Laplace and Hilbert) asymptotic estimates, and second order differential equations.
The goal of this course is to learn how to model, analyze and simulate stochastic systems, found at the core of a number of disciplines in engineering, for example communication systems, stock options pricing and machine learning. This course is divided into five thematic blocks: Introduction, Probability review, Markov chains, Continuous-time Markov chains, and Gaussian, Markov and stationary random processes.
The course covers the following topics: emission of thermal radiation, modeling of optical propagation (radiometry), quantifying the human perception of brightness (photometry) and of color (colorimetry), fundamentals of noise in detection systems, parameters for specifying the performance of optical detectors, and a survey of several specific types of detectors. References: Boyd, Radiometry and the Detection of Optical Radiation; Kingston, Detection of Optical and Infrared Radiation.
MARSHALL K; KOSC T
This course will introduce the student to the physical, chemical and optical properties of liquid crystals (LC) that are the basis for their wide and successful exploitation as optical materials for a broad variety of applications in optics, photonics and information display. Topics to be presented include: origins of LC physical properties in thermotropic and lyotropic materials as a function of chemical structure, influence of these structure-property relationships on macroscopic organization in LC mesophases, and the effect of molecular ordering and order parameter on properties of special significance for device applications. Operating principles for LC devices in a wide variety of applications will be described, including passive and tunable/switchable polarizers, wave plates, filters, information displays and electronic addressing, electronic paper, color-shifting polarizing pigments, optical modulators, and applications in photonics and lasers
Freeform optics is an emerging technology that a broad industry community anticipates will permeate optical systems of the future. This course will define and reveal the history of freeform optics. After an overview on freeform optics that will span design, fabrication and optical testing, the course will then review the theory of optical aberrations for rotationally symmetric system with an emphasis on the field dependence of the aberrations, before introducing Nodal Aberration Theory that was developed in the 1980s for systems that depart from rotational symmetry. Design concepts will then be presented, including the aberrations of freeform optics. Examples of freeform optics designs will be presented. The sensitivity of freeform optics systems to misalignment and form errors will then be discussed. Guest lectures on the mathematics of freeform optics for manufacture, and optical fabrication and testing will be included as possible.
This course is designed to give the student a basic working knowledge of image-forming optical systems. The course is oriented towards problem solving. Material covered includes: image formation, raytracing and first-order properties of systems; magnification, F/number, and numerical aperture; stops and pupils, telecentricity vignetting; telescopes, microscopes, magnifiers, and projection systems; the Delano diagram; the eye and visual systems, field lenses; optical glasses, the chromatic aberrations, and their correction; derivation of the monochromatic wavefront aberrations and study of their effects upon the image; third order properties of systems of thin lenses; effects of stop position and lens bending; aplanatic, image centered, and pupil centered surfaces; and field flatteners. References: Smith, Modern Optical Engineering, McGraw-Hill; Lecture notes.
This course covers fundamental ray optics that are necessary to understand today’s simple to advanced optical systems. Included will be paraxial optics, first-order optical system design, illumination, optical glasses, chromatic effects, and an introduction to aberrations. References: Hecht, Optics (4th edition); Smith, Modern Optical Engineering; Lecture notes.
This course focuses teaching the multidisciplinary aspects of designing complex, precise systems. In these systems, aspects from mechanics, optics, electronics, design for manufacturing/assembly, and metrology/qualification must all be considered to design, build, and demonstrate a successful precision system. The goal of this class is to develop a fundamental understanding of multidisciplinary design for designing the next generation of advanced instrumentation. This course is open to graduate students in engineering and physics backgrounds although it has a strong emphasis on mechanical engineering and systems engineering topics. This course is open to undergraduates who are in their senior year.
Optical interference in a multilayer stack and its application to anti-reflection coatings, beamsplitters, laser mirrors, polarizers, and bandpass filters.
Physics and implementation of X-ray, ultrasonic, and MR imaging systems. Fourier transform relations and reconstruction algorithms of X-ray and ultrasonic-computed tomography, and MRI.
This laboratory course (3 hours per week) exposes students to cutting-edge photon counting instrumentation and methods with applications ranging from quantum information to nanotechnology,biotechnology and medicine. Major topics include quantum entanglement and Bell’s inequalities, single-photon interference, single-emitter confocal fluorescence microscopy and spectroscopy, photonic bandgap materials, Hanbury Brown and Twiss interferometer, and photon antibunching. Each lab also includes lecture and discussions of lab materials.
This is an intensive laboratory course with experiments that likely included the following: 1. Transverse and axial mode structure of a gas laser. 2. Detector calibration using a blackbody. 3. Production of a white light viewable transmission hologram. 4. Acousto-optic modulation. 5. Twyman-Green interferometry. 6. Optical Fibers Laser. 7. The Pockels cell as an optical modulator. 8. Optical beats (heterodyning) and CATV. 9. The YAG laser and second harmonic generation. 10. Fourier optics and optical filtering. 11. Lens Evaluation. 12. Modulation Transfer Function. 13. Applications and properties of pulsed dye laser. 14. Holographic optical elements. 15. Properties of Gaussian beams.
The principles of physical optics including diffraction and propagation based on Fourier transform theory; integral formulation of electromagnetic propagation; diffraction from apertures and scattering objects; applications to optics of Fourier transform theory, sampling expansions, impulse response, propagation through optical systems, imaging and transforming, optical transfer function, optical filtering; and selected topics of current research interest. Text: Goodman, Introduction to Fourier Optics, 4th Ed.; class notes
This course provides the practicing optical engineer with the basic concepts of interference, diffraction, and imaging. Each topic will be reinforced with real-world examples. The interference section will include interferometry, Fabry-Perot etalons, and multilayer thin films. The diffraction and imaging sections will include, but are not limited to, diffractive optics, continuous and discrete Fourier transforms, convolution theory, and Linear Systems. References: Hecht, Optics (4th edition); Goodman, Introduction to Fourier Optics; Lecture notes.
Various types of typical nanophotonic structures and nanomechanical structures, fundamental optical and mechanical properties: micro/nano-resonators, photonic crystals, plasmonic structures, metamaterials, nano-optomechanical structures. Cavity nonlinearoptics, cavity quantum optics, and cavity optomechanics. Fundamental physics and applications, state-of-art devices and current research trends. This class is designed primarily for graduate students. It may be suitable for senior undergraduates if they have required basic knowledge.
Fundamentals and applications of optical systems based on the nonlinear interaction of light with matter. Topics to be treated include mechanisms of optical nonlinearity, second-harmonic and sum- and difference-frequency generation, photonics and optical logic, optical self-action effects including self-focusing and optical soliton formation, optical phase conjugation, stimulated Brillouin and stimulated Raman scattering, and selection criteria of nonlinear optical materials. References: Robert W. Boyd, Nonlinear Optics, Second Edition.
The course will cover the behavior of light in integrated waveguide devices. The course will feature in-class demonstrations, integrated photonic device design, and device testing in a laboratory setting. We will review Maxwell’s Equations and cover topics such as optical modes, planar waveguides, optical fibers, rectangular waveguides, coupled-mode theory, mode coupling, resonators, modulators, and numerical methods for integrated photonic device design. During this class you will learn the fundamentals of integrated photonics, design an integrated photonic device, and test and analyze its performance.
Subject matter to be selected from topics of current interest in quantum optics. (same as OPT 553).
Theory of random process, stationarity ergodicity, the auto-correlation function and the cross-correlation function of random process. Spectrum of a stationary random process and the Wiener-Khintchine theorem, Second-order coherence theory in the space-time domain, the mutual coherence function, the degree of coherence. Second-order coherence theory in the space-frequency domain, the cross spectral density, mode representation, propagation problems, Inverse radiation problems, effects of source correlations and scattering of partially coherent light from deterministic and from random media. Phase space representations. Quantum theory of coherence.
BENTLEY J; VISCONTI A
Complex zoom lenses and multi-mirror reflective systems are discussed detail starting with first principles. Other topics include materials for other wavelength bands, tolerancing, sensitivity analysis, monte carlo analysis, ghost and stray light analysis. Students required to complete two complex group design projects.
BENTLEY J; VISCONTI A
Classical and quantum mechanical theories of the interaction of light with atoms and molecules, with emphasis on near resonance effects, including coherent nonlinear atomic response theory, relaxation and saturation, laser theory, optical pulse propagation, dressed atom-radiation states, and multi-photon processes. (same as OPT 551).