Hertz potentials approach to the dynamical Casimir effect in cylindrical cavities of arbitrary section

2004/11/15 by M. Crocce, Martin Crocce, Diego A. R. Dalvit +2 · 1 citation
Engineering · Physics and Astronomy · #Casimir effect #Classical mechanics #Computer science #Electromagnetic field #Formalism (music) #Hertz #Mechanical and Optical Resonators #Optics #Photon #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Section (typography) #Thermal Radiation and Cooling Technologies #quant-ph

paper · pdf · doi:10.1088/1464-4266/7/3/005

13 pages, 3 figures, revtex4

arxiv created 2004/11/15 · openalex publication_date 2005/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the creation of photons in resonant cylindrical cavities with time-dependent length. The physical degrees of freedom of the electromagnetic field are described using Hertz potentials. We describe the general formalism for cavities with arbitrary section. Then we compute explicitly the number of TE and TM motion-induced photons for cylindrical cavities with rectangular and circular sections. We also discuss the creation of TEM photons in non-simply connected cylindrical cavities.

Citations

• Measurement of the Casimir Force between Parallel Metallic Surfaces
• Precision Measurement of the Casimir Force from 0.1 to0.9μm
• Quantum Fields in Curved Space
• Motion Induced Radiation from a Vibrating Cavity
• Photon generation from vacuum in nondegenerate cavities with regular and random periodic displacements of boundaries
• Quantum Mechanical Actuation of Microelectromechanical Systems by the Casimir Force
• New Developments in the Casimir Effect
• Creation of photons in an oscillating cavity with two moving mirrors
• Measurement of the Casimir Force between Dissimilar Metals
• Generating photon pulses with an oscillating cavity
• Demonstration of the Casimir Force in the 0.6 to6μmRange
• Classical Electrodynamics

Cited by

• Quantum work distributions associated with the dynamical Casimir effect