Theory and Implementation of the Project: Dipole Near Sphere

In this project, I give theoretical description of this model. And I will also give numerical realizations by using MATLAB, Python, COMSOL,Lumerical FDTD Solutions, MEEP and Mathematica!

Why I use this model?

The plasmonic nano sphere is a very classical model in nano optics for its effect on the dipole's emission rate. The spontaneous emission rate change for two level system can be modeled by the emission power change. So it gives us a way for simulating quantum effects using classical methods.

Why I try so many realization?

• It's out of interest.
• I want to use this model because this model has theoretical expressions and then help us verify our numerical methods. We can use this model to do numerical convergence test.

What will be simulated ?

• The total and radiative emission rate enhancement when a radial dipole and tangential dipole is put near nano sphere (Only the Mathematica files simulate the radiative part now).
• The emission rate for arbitrary orientated dipole could be simulated via the projection of radial and tangential dipoles.
• The Drude-Lorentz dispersion model for gold are used.