51 citations · 57 across the 8 of their papers we have counts for
8 papers
Sensitivity of Fitting High Order Zernikes
Gregg M. Gallatin
The sensitivity of fitting Zernike coefficients to wavefront data due to an error or uncertainty in the exact position of the edge of the wavefront data is derived. The results ind…
Disorder, Path Integrals and Localization
Gregg M. Gallatin
Anderson localization is derived directly from the path integral representation of quantum mechanics in the presence of a random potential energy function. The probability distribu…
Analytic Computer Generated Hologram Design
Gregg M. Gallatin
For a given asphere the grating equation is used to derive the design for a Computer Generated Hologram (CGH), sometimes referred to as a diffractive null corrector. The CGH conver…
Tolerance analysis of non-depolarizing double-pass polarimetry
Yimin Yu, Nabila Baba-Ali, Gregg M Gallatin
Double-pass polarimetry measures the polarization properties of a sample over a range of polar angles and all azimuths. Here, we present a tolerance analysis of all the optical ele…
Propagation of Vortex Electron Wave Functions in a Magnetic Field
Gregg M. Gallatin, Ben McMorran
The physics of coherent beams of photons carrying axial orbital angular momentum (OAM) is well understood and such beams, sometimes known as vortex beams, have found applications i…
Fourier, Gauss, Fraunhofer, Porod and the Shape from Moments Problem
Gregg M. Gallatin
We show how the Fourier transform of a shape in any number of dimensions can be simplified using Gauss's law and evaluated explicitly for polygons in two dimensions, polyhedra thre…
Generalized Goldstone Theorem: Automatic Imposition of the Higgs Mechanism and Application to Scale and Conformal Symmetry Breaking
A. Chodos, G. Gallatin
Standard discussions of Goldstone's theorem based on a symmetry of the action assume constant fields and global transformations, i.e., transformations which are independent of spac…
Mechanism of Laser Induced Compaction
G. Gallatin
Fused Silica is the material of choice for UV optical systems such as the projection optics in microlithography systems. Unfortunately fused silica is not stable under UV irraditio…