The analytic proof of mode stability of the Kerr black hole was provided by Whiting. In his proof, the construction of a conserved quantity for unstable mode was crucial. We extend the method of the analysis for the Kerr-de Sitter geometry. The perturbation equations of massless fields in the Kerr-de Sitter geometry can be transformed into Heun’s equations which have four regular singularities....

در این مقاله، به بررسی اثر پارامترهای کاری گوناگون بر شکل تپ‌های خروجی یک لیزر 2CO تپی فشار اتمسفری پرتکرار دست‌ساز (با آهنگ تکرار تا kHz 1) پرداخته شده است. راستا، عوامل گوناگونی هم­چون: نسبت گاز 2N، He و بازتابندگی آینه جلویی تغییر داده شدند انرژی گسیلی هر از حالت‌ها ثبت مشخصه‌یابی شدند. نشان شد که با گازهای 2N He، می‌توان دیرش زمانی میخه دنباله‌ی تپ‌ها را بازه‌ی ns 140-95 µs 5/3-5/1 تنظیم نم...

The Cardy-Verlinde formula, which expresses the entropy of the conformal field theory in terms of its total energy (or the extensive energy), Casimir energy and radius of the unit sphere S, is further verified by using the Kerr-Newman-AdS4 and the two rotation parameters Kerr-AdS5 black holes. For the Kerr-Newman-AdS4 black hole we find that to cast the entropy of the conformal field theory int...

Nonlinear magneto-optics is a very sensitive fingerprint of the electronic, magnetic, and atomic structure of surfaces, interfaces, and thin ferromagnetic films. Analyzing theoretically the nonlinear magneto-optical Kerr effect for thin films of Fe(001) and at Fe surfaces we demonstrate exemplarily how various electronic material properties of ferromagnets , such as the d-band width, the magnet...

The spacetime geometry on the equatorial slice through a Kerr black hole is formally equivalent to the geometry felt by phonons entrained in a rotating fluid vortex. We analyse this example of “analogue gravity” in some detail: First, we find the most general acoustic geometry compatible with the fluid dynamic equations in a collapsing/expanding perfect-fluid line vortex. Second, we demonstrate...

The enhancement of the optical nonlinear effects at nanoscale is important in the on-chip optical information processing. We theoretically propose the mechanism of the great Kerr nonlinearity enhancement by using anisotropic Purcell factors in a double-Λ type four-level system, i.e., if the bisector of the two vertical dipole moments lies in the small/large Purcell factor axis in the space, the...