TY - JOUR T1 - Wide-Angle Energy-Momentum Spectroscopy JF - Opt. Lett. Y1 - 2014 A1 - Christopher M. Dodson A1 - Jonathan A. Kurvits A1 - Dongfang Li A1 - Rashid Zia KW - Emission KW - Materials and process characterization KW - Rare-earth-doped materials KW - Transition-metal-doped materials AB - Light emission is defined by its distribution in energy, momentum, and polarization. Here, we demonstrate a method that resolves these distributions by means of wide-angle energy-momentum spectroscopy. Specifically, we image the back focal plane of a microscope objective through a Wollaston prism to obtain polarized Fourier-space momentum distributions, and disperse these two-dimensional radiation patterns through an imaging spectrograph without an entrance slit. The resulting measurements represent a convolution of individual radiation patterns at adjacent wavelengths, which can be readily deconvolved using any well-defined basis for light emission. As an illustrative example, we use this technique with the multipole basis to quantify the intrinsic emission rates for electric and magnetic dipole transitions in europium-doped yttrium oxide (Eu3$+$:Y2O3) and chromium-doped magnesium oxide (Cr3$+$:MgO). Once extracted, these rates allow us to reconstruct the full, polarized, two-dimensional radiation patterns at each wavelength. VL - 39 UR - http://ol.osa.org/abstract.cfm?URI=ol-39-13-3927 ER - TY - JOUR T1 - Magnetic dipole and electric quadrupole transitions in the trivalent lanthanide series: Calculated emission rates and oscillator strengths JF - Physical Review B Y1 - 2012 A1 - Christopher M. Dodson A1 - Rashid Zia AB - Given growing interest in optical-frequency magnetic dipole transitions, we use intermediate coupling calculations to identify strong magnetic dipole emission lines that are well suited for experimental study. The energy levels for all trivalent lanthanide ions in the $4f^n$ configuration are calculated using a detailed free ion Hamiltonian, including electrostatic and spin-orbit terms as well as two-body, three-body, spin-spin, spin-other-orbit, and electrostatically correlated spin-orbit interactions. These free ion energy levels and eigenstates are then used to calculate the oscillator strengths for all ground-state magnetic dipole absorption lines and the spontaneous emission rates for all magnetic dipole emission lines including transitions between excited states. A large number of strong magnetic dipole transitions are predicted throughout the visible and near-infrared spectrum, including many at longer wavelengths that would be ideal for experimental investigation of magnetic light-matter interactions with optical metamaterials and plasmonic antennas. VL - 86 UR - http://link.aps.org/doi/10.1103/PhysRevB.86.125102 IS - 12 JO - Phys. Rev. B ER -