Holographic optical tweezers Dept. of Mechatronics Yong-Gu Lee 1.Joseph W. Goodman, Introduction to Fourier optics 2 nd Edition, McGraw-Hill 1996 2.Eric.

Slides:



Advertisements
Similar presentations
Z-Plane Analysis DR. Wajiha Shah. Content Introduction z-Transform Zeros and Poles Region of Convergence Important z-Transform Pairs Inverse z-Transform.
Advertisements

The imaging problem object imaging optics (lenses, etc.) image
Optical simulations within and beyond the paraxial limit 1 Daniel Brown, Charlotte Bond and Andreas Freise University of Birmingham.
Optoelectronic Systems Lab., Dept. of Mechatronic Tech., NTNU Dr. Gao-Wei Chang 1 Chap 4 Fresnel and Fraunhofer Diffraction.
THz generation and transport Sara Casalbuoni DESY Hamburg.
EMLAB 1 Solution of Maxwell’s eqs for simple cases.
Overview from last week Optical systems act as linear shift-invariant (LSI) filters (we have not yet seen why) Analysis tool for LSI filters: Fourier transform.
Radiation forces on a dielectric sphere in the Rayleigh and Mie scattering regime Yong-Gu Lee Reference: Yasuhiro Harada et al. Radiation forces on a dielectric.
Optoelectronic Systems Lab., Dept. of Mechatronic Tech., NTNU Dr. Gao-Wei Chang 1 Chap 5 Wave-optics Analysis of Coherent Systems.
Multi-Particle Systems 0. Center of Mass Variables.
Physics 52 - Heat and Optics Dr. Joseph F. Becker Physics Department San Jose State University © 2003 J. F. Becker.
1 Chapter 10 Diffraction March 9, 11 Fraunhofer diffraction: The single slit 10.1 Preliminary considerations Diffraction: The deviation of light from propagation.
PA214 Waves and Fields Fourier Methods Blue book New chapter 12 Fourier sine series Application to the wave equation Fourier cosine series Fourier full.
Aperture Antennas INEL 5305 Prof. Sandra Cruz-Pol ECE, UPRM Ref. Balanis Chpt. 12.
(MTH 250) Lecture 26 Calculus. Previous Lecture’s Summary Recalls Introduction to double integrals Iterated integrals Theorem of Fubini Properties of.
Diffraction Diffraction is the bending and spreading of waves from apertures or obstructions, including interference of the waves.
Q-Function Alternative Representation of the Gaussian Q Function.
ARRAYED WAVEGUIDE GRATINGS
Section 10.1 Polar Coordinates.
Phase Retrieval Applied to Asteroid Silhouette Characterization by Stellar Occultation Russell Trahan & David Hyland JPL Foundry Meeting – April 21, 2014.
August, 1999A.J. Devaney Stanford Lectures-- Lecture I 1 Introduction to Inverse Scattering Theory Anthony J. Devaney Department of Electrical and Computer.
Tutorial on Computational Optical Imaging
Aperture Antennas INEL 5305 Prof. Sandra Cruz-Pol ECE, UPRM Ref. Balanis Chpt. 12, Kraus Ch15.
July 2003 Chuck DiMarzio, Northeastern University ECEG105 Optics for Engineers Course Notes Part 7: Diffraction Prof. Charles A. DiMarzio Northeastern.
Dept. Elect. Eng. Technion – Israel Institute of Technology Rotating Beams Yoav Y. Schechner 1 Joint studies with J. Shamir, R. Piestun, A. Greengard.
Optical tweezers and trap stiffness
Binarization of gray-scale hologram Fan Jiang Fall 2006.
Optoelectronic Systems Lab., Dept. of Mechatronic Tech., NTNU Dr. Gao-Wei Chang 1 Chap 3 Foundations of Scalar Diffraction Theory.
3D Micromanufacturing Laboratory School of Mechatronics Gwangju Institute of Science and Technology (GIST), KOREA 이 용 구이 용 구 Calculation of optical trapping.
Fourier relations in Optics Near fieldFar field FrequencyPulse duration FrequencyCoherence length Beam waist Beam divergence Focal plane of lensThe other.
Approximate Analytical Solutions to the Groundwater Flow Problem CWR 6536 Stochastic Subsurface Hydrology.
Signals And Systems Chapter 3 Fourier Transform 2.
Shortening a laser pulse at the focus of a lens Yuelin Li Accelerator Systems Division Argonne National Laboratory
Abstract It was not realized until 1992 that light could possess angular momentum – plane wave light twisted in a corkscrew. Due to resemblance with a.
ABSTRACT The design of a complete system level modeling and simulation tool for optical micro-systems is the focus of our research . We use a rigorous.
35. Diffraction and Image Formation
The Boundary Element Method (and Barrier Designs)
Ultrasound Computed Tomography 何祚明 陳彥甫 2002/06/12.
Integrated Math 2 Lesson #19 Transformations - Dilation Mrs. Goodman
3.Spherical Tensors Spherical tensors : Objects that transform like 2 nd tensors under rotations.  {Y l m ; m =  l, …, l } is a (2l+1)-D basis for (irreducible)
Math 445: Applied PDEs: models, problems, methods D. Gurarie.
1 M2M2 M1M1 M 1p M3M3 M 3p M4M4 M6M6 M7M7 M0M0 M 0p et M 7p Flatop modulation: to keep on the surface of the cube Without or with homopolar Value Trace.
Diffraction (6.161 Lab3) Tony Hyun Kim 10/21/2008.
 I can… ◦ Find the inverse of a given relation or function.
Tony Jun Huang, Ph.D. Professor of Engineering Science and Mechanics The Pennsylvania State University Acoustic.
Appendix A : Fourier transform
EC1358 – DIGITAL SIGNAL PROCESSING
ECE 3323 Principles of Communication Systems Section 3.2 Fourier Transform Properties 1.
Optical Vortices and Electric Quadrupole transitions James Bounds.
One Dimensional Quantum Mechanics: The Free Particle
ECE 6341 Spring 2016 Prof. David R. Jackson ECE Dept. Notes 41.
Judge last week: “Pi is not copyrightable”
Mathematics for Physicists III
Instructor: Chen-Hsiung Yang
ECE 6382 Notes 1 Introduction to Complex Variables Fall 2017
Accommodating the source (and receiver) array in the ISS free-surface multiple elimination algorithm: impact on interfering or proximal primaries and multiples.
Why is a lens image inverted?
Chapter 4 Integration.
Christopher Crawford PHY
TRIVIA QUESTION! Under President Ronald Reagan, what was the nickname of the science initiative to develop, among other things, a ‘photon torpedo’. (a)
Convert to rectangular:
Announcements 3/23/12 Prayer
Diffraction P47 – Optics: Unit 7.
Notes Over 7.4 Finding an Inverse Relation
Scalar theory of diffraction
Chapter 10 Diffraction December 3 Fraunhofer diffraction: the single slit 10.1 Preliminary considerations Diffraction: The deviation of light from propagation.
PHYS 408 Applied Optics (Lecture 20)
Scalar theory of diffraction
Continuous-Time Fourier Transform
Physics 451/551 Theoretical Mechanics
Presentation transcript:

Holographic optical tweezers Dept. of Mechatronics Yong-Gu Lee 1.Joseph W. Goodman, Introduction to Fourier optics 2 nd Edition, McGraw-Hill Eric R. Dufresne et al, Computer-generated holographic optical tweezer arrays, Review of scientific instruments Vol 72 No 3, pp

The Helmholtz equation

Green’s theorem

The integral theorem of Helmholtz and Kirchhoff

Application of the integral theorem

?

The Rayleigh-Sommerfield formulation of diffraction

The Huygens-Fresnel principle in rectangular coordinates

The Fresnel approximation

Fourier optics

inverse Fourier transform with variable

Phase-only holograms

Adaptive-Additive algorithm ?

FF -1 F F Guess Calc Error

Ref. Hydrodynamic coupling and optical patterning of many- particle colloidal systems, Eric R. Dufresne, PhD Thesis, 2000, The University of Chicago

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.