7 papers
The Zero-Frequency Limit of Spherical Cavity Modes: On the Formal Endpoint at v=1
Mustafa Bakr, Smain Amari
The transverse magnetic (TM) modes of a spherical cavity satisfy a dispersion relation connecting the angular eigenvalue to the resonant frequency through zeros of the spheric…
Group-Theoretical Origin of the Sectoral-Tesseral-Zonal Trichotomy in Spherical Harmonics
Mustafa Bakr, Smain Amari
The spherical harmonics fall into three families -- sectoral (), tesseral (), and zonal () -- which exhibit fundamentally different be…
Electromagnetic Modes in Spherical Cavities: Complete Theory of Angular Spectra, Dispersion Relations, and Self-Adjoint Extensions
Mustafa Bakr, Tongyu Zhang, Smain Amari
We present a complete theory of electromagnetic modes in spherical cavities, resolving fundamental questions about the nature of angular quantization. The standard result that angu…
Quantum Mechanics in a Spherical Wedge: Complete Solution and Implications for Angular Momentum Theory
Mustafa Bakr, Smain Amari
We solve the stationary Schrödinger equation for a particle confined to a 3D spherical wedge -- the region …
Intrinsic Multi-Mode Interference for Passive Suppression of Purcell Decay in Superconducting Circuits
Mustafa Bakr, Mohammed Alghadeer, Simon Pettersson Fors +6
Decoherence due to radiative decay remains an important consideration in scaling superconducting quantum processors. We introduce a passive, interference-based methodology for supp…
Properties of Building Blocks Comprising Strongly Interacting Posts and Their Consideration in Advanced Coaxial Filter Designs
Smain Amari, Mustafa Bakr, Uwe Rosenberg
Building blocks containing strongly coupled posts offer new possibilities for advanced coaxial (comb-line) filter designs. Equivalent circuits based on the individual resonances of…