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 (1996) Julius Adams Stratton, Electromagnetic theory, McGraw-Hill Book Company Inc Akira Ishimaru, Electromagnetic wave propagation, radiationa and scattering, Prentice-Hall Inc. 1991

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

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

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.

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

Eqn given in the paper is incorrect

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)

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)

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)

Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov

Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov

Metal spheres Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov

Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov

Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov

Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov

Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov

Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov

Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov

Slides taken from the lecture notes of Optical Tweezers in Biology by Prof. Dmitri Petrov