Optical interference and dynamic diffraction :research methods for undergraduates /

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"Version: 20251101"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. Introduction -- 1.2. Light, interference, and diffraction -- 1.3. From static to dynamic diffraction -- 1.4. Frequency analysis of motion -- 1.5. Beyond linear oscillations : chaos and complexity -- 1.6. Why dynamic optical diffraction matters -- 1.7. Summary2. Optical interference -- 2.1. Introduction -- 2.2. Fundamental definition of a wave -- 2.3. Mathematical description of a wave -- 2.4. Derivation of the wave equation -- 2.5. Generalization to a three-dimensional wave equation -- 2.6. Explicit forms of [psi](x, t) -- 2.7. Interference of waves -- 2.8. Electromagnetic waves -- 2.9. Conclusion3. Diffraction -- 3.1. Introduction -- 3.2. Diffraction basics -- 3.3. Huygens-Fresnel principle -- 3.4. Diffraction theory -- 3.5. Diffraction of electromagnetic fields -- 3.6. Fresnel diffraction -- 3.7. Diffraction pattern as a transform -- 3.8. Conclusion4. Fraunhofer (far-field) diffraction -- 4.1. Introduction -- 4.2. Young's double slit -- 4.3. Fraunhofer diffraction -- 4.4. Conclusion5. Computing diffraction patterns -- 5.1. Introduction -- 5.2. One-dimensional discrete Fourier transform -- 5.3. Resolution in discrete Fourier transforms -- 5.4. Diffraction features -- 5.5. Matrix methods -- 5.6. Visual interpretation -- 5.7. Fast Fourier transform (FFT) -- 5.8. Two-dimensional Fourier transform -- 5.9. Two-dimensional discrete Fourier transform -- 5.10. Matrix format in two dimensions -- 5.11. Computational practicalities -- 5.12. Aliasing -- 5.13. Conclusion6. Dynamic diffraction -- 6.1. Introduction -- 6.2. Dynamic single slit -- 6.3. Useful theorems and lemmas -- 6.4. Dynamic double slit -- 6.5. Signal analysis using Fourier transforms7. Application of dynamic optical diffraction -- 7.1. Introduction -- 7.2. Principles of dynamic optical diffraction -- 7.3. Experimental implementations -- 7.4. Frequency analysis of locomotion -- 7.5. Nonlinear and chaotic markers -- 7.6. Advantages over traditional microscopy -- 7.7. Broader applications -- 7.8. ConclusionAppendix A. Optical sources -- Appendix B. Photodetectors -- Appendix C. Optical hardware -- Appendix D. Safety precautions -- Appendix E. Solutions.Full-text restricted to subscribers or individual document purchasers.This text links the theory of Fraunhofer (far-field) diffraction with the applied mathematical method of discrete Fourier transforms. With this practical approach, readers have the opportunity to implement computational techniques that are practical in nature. In addition to providing a comprehensive and practical approach to far-field diffraction, the authors present a recently established complement to traditional microscopy: dynamic optical diffraction (DOD). This method relies on tracking temporal changes in an oversampled species. The authors, Professor Jenny Magnes and Professor Juan Merlo-Ram?irez, drew on years of pedagogical experience to fill in the elementary material often omitted from the literature on diffraction and Fourier transforms. Their years of experience in teaching at the undergraduate level make this book appealing. Part of IOP Series in Advances in Optics, Photonics and Optoelectronics.Optics students at the upper undergraduate/first year graduate level.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Dr. Jenny Magnes holds a BS in physics and mathematics from Delaware State University and a BS in English from the University of Maryland (European Division), as well as an MA and PhD in physics from Temple University. She is currently serving as a professor and chair of the physics and astronomy department at Vassar College. Dr Magnes has researched various areas involving optics: diatomic spectroscopy of alkalis, quantum optics, molecular optics, opto-mechanical techniques, nano-structures, and bio-photonics. She is interested in developing techniques that are beneficial during classroom interactions. She has also successfully involved undergraduates in her research, resulting in more than 16 peer-reviewed publications with undergraduates. Dr Magnes and her research group dove into investigating micro-organisms using optical techniques like scattering and various interference effects involving iridescence. Dr Magnes's work on the locomotion of C. elegans was funded by the National Science Foundation. Currently, she is investigating the locomotory predictability of microorganisms using non-linear dynamics in the field of chaos and complexity. Juan M. Merlo-Ram?irez is an Associate Professor in the Physics and Astronomy Department at Vassar College. He holds a five-year degree in physics and an MSc in optoelectronics from the University of Puebla. In 2010, he earned a PhD in optics from the National Institute of Astrophysics, Optics, and Electronics (INAOE) in Puebla, Mexico, with a dissertation on near-field microscopy. His current research focuses on two main areas: (1) near-field microscopy and plasmonics, where he studies light-matter interactions at the nanoscale, and (2) topological phases of matter in classical systems, with an emphasis on photonic and mechanical topological insulators. He is also interested in disseminating scientific knowledge by writing science books for children.Title from PDF title page (viewed on December 1, 2025).

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Publisher

: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9780750348362

Classification

535.42

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-

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Subject(s)

Optical physics.
SCIENCE / Physics / Optics & Light.
Diffraction.
Interference (Light)

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Statement of Responsibility

Jenny Magnes, Juan M. Merlo-Ram?irez.

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