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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.

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Presentation on theme: "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."— Presentation transcript:

1 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 sphere in the Rayleigh scattering regime, Optics communications Vol 124. pp 529-541 (1996) Julius Adams Stratton, Electromagnetic theory, McGraw-Hill Book Company Inc. 1941 Akira Ishimaru, Electromagnetic wave propagation, radiationa and scattering, Prentice-Hall Inc. 1991

2 Electromagnetic forces on charges and currents Julius Adams Stratton, “Electromagnetic thoery,” pp 96-97, McGraw-Hill Book Company, 1941

3 Wave optics crash course Wave equation Helmholz eqn. Elementary waves –Spherical wave –Paraboloidal wave –Paraxial wave Paraxial Helmholz eqn.

4 Gaussian beam One simple solution to the paraxial Helmholtz equation provides the paraboloidal wave Another solution of the paraxial Helmholtz equation provides the Gaussian beam.

5 Electric-field vector within zeroth-order approximation in a paraxial Gaussian beam

6 Eqn given in the paper is incorrect

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10 What is the fundamental difference between the Rayleigh, Mie, and Optical 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

11 The angular patterns of the scattered intensity from particles of three sizes: (a) small particles, (b) large particles, and (c) larger particles Rayleigh scattering pattern Taken from the course notes of Radar Metrology by Prof. Bob Rauber (UIUC) http://www.atmos.uiuc.edu/courses/atmos410-fa04/presentations.html

12 E inc incident plane wave Dielectric Sphere (water drop) A plane wave with electric field E inc induces an electric dipole p in a small sphere. The induced dipole is parallel to the direction of E inc which is also the direction of polarization of the incident wave. p Taken from the course notes of Radar Metrology by Prof. Bob Rauber (UIUC) http://www.atmos.uiuc.edu/courses/atmos410-fa04/presentations.html

13 Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov https://www.icfo.es/courses/biophotonics2006/html/

14 Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov https://www.icfo.es/courses/biophotonics2006/html/

15 Metal spheres Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov https://www.icfo.es/courses/biophotonics2006/html/

16 Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov https://www.icfo.es/courses/biophotonics2006/html/

17 Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov https://www.icfo.es/courses/biophotonics2006/html/

18 Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov https://www.icfo.es/courses/biophotonics2006/html/

19 Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov https://www.icfo.es/courses/biophotonics2006/html/

20 Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov https://www.icfo.es/courses/biophotonics2006/html/

21 Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov https://www.icfo.es/courses/biophotonics2006/html/

22 Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov https://www.icfo.es/courses/biophotonics2006/html/


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