Abstract
Selection rules governing Brillouin light scattering from the vibrational eigenmodes of a homogeneous, free-surface submicron sphere have been derived using group theory. The derivation is for the condition where the sphere diameter is of the order of the excitation light wavelength. Well-resolved spectral data obtained from Brillouin light scattering from submicron silica spheres provide experimental verification of the selection rules.
Highlights
Duval derived the Raman selection rules for the condition in which the sphere diameter d « λ, the wavelength of the excitation light [13]. He predicted that only spheroidal modes with l = 0, 2 are Raman-active while torsional modes are not observable by Raman scattering
We present a derivation, from group theory, of the Brillouin selection rules and their experimental verification
The selection rules for inelastic light scattering from confined acoustic modes in a homogeneous sphere are discussed
Summary
The selection rules for inelastic light scattering from confined acoustic modes in a homogeneous sphere are discussed. Much controversy surrounds the inelastic light scattering selection rules for the vibrational eigenmodes of a sphere. Duval derived the Raman selection rules for the condition in which the sphere diameter d « λ, the wavelength of the excitation light (usually ~ 500 nm) [13].
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