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physics.optics2026

The double-indexed geometric phase for electromagnetics

Akhlesh Lakhtakia, Tom G. Mackay

The double-indexed geometric phase (DIGP) based on a family of Poincaré spinors was formulated to extend the Pancharatnam phase, commonly used to describe the evolution of the pola…

physics.optics2026

Gaussian pulse scattering by a chiral spherical shell

Hector M. Iga-Buitron, Tom G. Mackay, Akhlesh Lakhtakia

Theory was formulated for scattering by a coated chiral sphere of a plane wave of arbitrary polarization state with amplitude modulated by a Gaussian pulse. The spherical core and…

physics.optics2025★ 3 cited

van de Hulst Essay: Geometric-phase portrayal of electromagnetic scattering by a three-dimensional object in free space

Akhlesh Lakhtakia

The concept of geometric phase was applied to initiate the geometric-phase portrayal of electromagnetic scattering by a three-dimensional object in free space. Whereas the incident…

physics.optics2025

Electromagnetic homogenization of particulate composite materials comprising spheroids and truncated spheroids with orientational distribution

Héctor M. Iga-Buitrón, Tom G. Mackay, Akhlesh Lakhtakia

Implementations of the Bruggeman and Maxwell Garnett homogenization formalisms were developed to estimate the relative permittivity dyadic of a homogenized composite material (HCM)…

physics.optics2024

The Circular Bragg Phenomenon Updated

Akhlesh Lakhtakia

The circular Bragg phenomenon is the circular-polarization-state-selective reflection of light in a spectral regime called the circular Bragg regime. In continuation of an exposito…

physics.optics2024

Geometric Phase and Nanoscale Architected Morphology of Reusch Piles

Akhlesh Lakhtakia

The geometric phase has acquired interest for optical devices such as achromatic phase shifters, spatial light modulators, frequency shifters, and planar lenses for wavefront engin…