STATISTICAL PROPERTIES OF THE EIGENFREQUENCY DISTRIBUTION OF 3-DIMENSIONAL MICROWAVE CAVITIES

被引：78

作者：

DEUS, S ^{[1
]}

KOCH, PM ^{[1
]}

SIRKO, L ^{[1
]}

机构：

[1] POLISH ACAD SCI, PL-02688 WARSAW, POLAND

来源：

PHYSICAL REVIEW E | 1995年 / 52卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.52.1146

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We measured the transmission spectra of asymmetrically shaped three-dimensional (3D) microwave cavities to determine resonant frequencies. We used the Balian-Bloch formula [R. Balian and C. Bloch, Ann. Phys. (N.Y.) 84, 559 (1974); 64, 271 (1971), Eq. (I.1)] for electromagnetic waves in a three-dimensional cavity with smooth walls to check that very few resonances were missed up to 14 GHz. After normalizing them with the local mean eigenmode spacing, we unfolded the resonance spectra and found that the distribution of electromagnetic eigenmodes of the irregular 3D microwave cavities displays a statistical behavior characteristic for classically chaotic quantum systems, viz., the Wigner distribution. We found that this result did not depend on the exact irregular shape of the 3D cavity, suggesting that it is universal.

引用

页码：1146 / 1155

页数：10

共 44 条

[1] DISTRIBUTION OF EIGENFREQUENCIES FOR WAVE EQUATION IN A FINITE DOMAIN .1. 3-DIMENSIONAL PROBLEM WITH SMOOTH BOUNDARY SURFACE [J].