“…These include analytical methods derived from Mie theory for spheres, quasistatic (Gans) model for spheres and spheroids, and numerical methods like discrete dipole approximation (DDA), nite difference time domain (FDTD) method, and nite element method (FEM). [48][49][50][51][52][53][54][55] Tanabe et al 56 has discussed the dependence of eld enhancement on parameters such as wavelength, distance from the NP/nanoshell, surrounding medium, and the core and shell diameters, based on classical electromagnetic eld theory in the quasistatic limit using empirical wavelength-dependent dielectric constants. When a homogeneous, isotropic metal sphere is placed in a medium under static electric eld ( Ẽ0 ¼ E 0 êz ), it will experience an induced charge on its surface due to the difference in dielectric constants between the metal sphere and the medium.…”