1. Nanoscale Simulations Laboratory Department of Mechatronics Gwangju Institute of Science and Technology (GIST), KOREA 이 용 구이 용 구 Calculation of optical trapping forces summary Yong-Gu Lee

2. 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory Rayleigh, Mie, and Ray-optics regimes With Rayleigh scattering, the electric field is assumed to be invariant in the vicinity of the particle Taken from the course notes of Radar Metrology by Prof. Bob Rauber (UIUC) http://www.atmos.uiuc.edu/courses/atmos410-fa04/presentations.html

3. 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory Electromagnetic forces + Electric forceMagnetic force

4. 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory Electromagnetic forces

5. 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory Dielectric material ( 유전체 )  Dielectric material: poor conductor of electricity but an efficient supporter of electrostatic fields  Examples are: porcelain (ceramic), mica, glass, plastics, and the oxides of various metals. Dry air is an excellent dielectric. Distilled water is a fair dielectric. A vacuum is an exceptionally efficient dielectric.  Metals can be thought as dielectric at their outermost shells

6. 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory Induced electric field in a dielectric object E1E1 Incident plane wave Dielectric Sphere + - - +

7. 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory Potential due to dipole Dielectric Sphere - charge + charge

8. 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory Electric field inside dielectrics 2 1 Image from: Julius Adams Stratton, Electromagnetic theory, McGraw-Hill Book Company Inc. 1941

9. 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory Gradient force (Rayleigh regime)

10. 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory Scattering force (Rayleigh regime) Incident plane wave Dielectric Sphere Scattered spherical wave

11. 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory Calculating C pr

12. 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory This slide is taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov https://www.icfo.es/courses/biophotonics2006/html/

13. 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory Mie (scattering) theory Spherical harmonics: Waves in spherical structures

14. 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory Ray optics regime Medium index of refraction n 1 Sphere index of refraction n 2

15. 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory 나노 시뮬레이션 연구실 Nanoscale Simulations Laboratory Metal trapping An electronic field attenuates e-times in the skin layer This slide is adapted from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov https://www.icfo.es/courses/biophotonics2006/html/