Duality relation between nonspherical mirror optical cavities and its application to gravitational-wave detectors

被引：0

作者：

Agresti, Juri ^{[1
,2
]}

Chen, Yanbei ^{[3
]}

D'Ambrosio, Erika ^{[2
]}

Savov, Pavlin

机构：

[1] Ist Fis Applicata Nello Carrara CNR, I-50019 Sesto Fiorentino, FI, Italy

[2] CALTECH, LIGO Lab, Pasadena, CA 91125 USA

[3] Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14476 Golm, Germany

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2012年 / 29卷 / 09期

基金：

美国国家科学基金会;

关键词：

RESONATORS; MODES; INTERFEROMETER;

D O I：

10.1364/JOSAA.29.001818

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper, we analytically prove a unique duality relation between the eigenspectra of paraxial optical cavities with nonspherical mirrors: a one-to-one mapping between eigenmodes and eigenvalues of cavities deviating from flat mirrors by h((r) over right arrow) and cavities deviating from concentric mirrors by -h((r) over right arrow), where h need not be a small perturbation. We then illustrate its application to optical cavities, proposed for advanced interferometric gravitationalwave detectors, where the mirrors are designed to support beams with rather flat intensity profiles over the mirror surfaces. This unique mapping might be very useful in future studies of alternative optical designs for advanced gravitational wave interferometers or experiments employing optical cavities with nonstandard mirrors. c 2012 Optical Society of America

引用

页码：1818 / 1827

页数：10

共 50 条

[21] ROOM-TEMPERATURE TESTS OF AN OPTICAL TRANSDUCER FOR RESONANT GRAVITATIONAL-WAVE DETECTORS
PANG, Y
RICHARD, JP
APPLIED OPTICS, 1995, 34 (22): : 4982 - 4988
[22] Signal recycled laser-interferometer gravitational-wave detectors as optical springs
Buonanno, A
Chen, YB
PHYSICAL REVIEW D, 2002, 65 (04):
[23] Design of optical telescopes for laser field wavefront reconstruction in gravitational-wave detectors
Allocca, A.
Genin, E.
Mantovani, M.
Chiummo, A.
CLASSICAL AND QUANTUM GRAVITY, 2024, 41 (10)
[24] Stable double-resonance optical spring in laser gravitational-wave detectors
Rakhubovsky, Andrey A.
Hild, Stefan
Vyatchanin, Sergey P.
PHYSICAL REVIEW D, 2011, 84 (06):
[25] Optical rigidity in signal-recycled configurations of laser gravitational-wave detectors
Lazebny, VI
Vyatchanin, SP
PHYSICS LETTERS A, 2005, 344 (01) : 7 - 17
[26] Quantum variational measurement and the optical lever intracavity topology of gravitational-wave detectors
Khalili, F. Ya.
PHYSICAL REVIEW D, 2007, 75 (08):
[27] TOLERANCE OF DUAL, RECYCLING LASER INTERFEROMETRIC GRAVITATIONAL-WAVE DETECTORS TO MIRROR TILT AND CURVATURE ERRORS
MCCLELLAND, DE
SAVAGE, CM
TRIDGELL, AJ
MAVADDAT, R
PHYSICAL REVIEW D, 1993, 48 (12): : 5475 - 5484
[28] Low-loss and high damage-threshold mirror development for gravitational-wave detectors
Tatsumi, Daisuke
Ueda, Akitoshi
Yoneda, Hitoki
Sato, Kazunari
LASER-INDUCED DAMAGE IN OPTICAL MATERIALS: 2014, 2014, 9237
[29] Optical noise correlations and beating the standard quantum limit in advanced gravitational-wave detectors
Buonanno, A
Chen, YB
CLASSICAL AND QUANTUM GRAVITY, 2001, 18 (15) : L95 - L101
[30] Sensitivity of laser gravitational-wave detectors with stable double-pumped optical spring
Rakhubovsky, Andrey A.
Vyatchanin, Sergey P.
PHYSICS LETTERS A, 2012, 376 (17) : 1405 - 1411

← 1 2 3 4 5 →