Circular Bragg lasers with radial PT symmetry: Design and analysis with a coupled-mode approach
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DOI: 10.1364/prj.6.000a38
Abstract: Parity–time (PT) symmetry has been demonstrated in the frame of classic optics. Its applications in laser science have resulted in unconventional control and manipulation of resonant modes. PT-symmetric periodic circular Bragg lasers were previously proposed.… read more here.
Keywords: bragg lasers; circular bragg; lasers radial; radial symmetry ... See more keywords
High-Dimensional Radial Symmetry of Copula Functions: Multiplier Bootstrap vs. Randomization
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DOI: 10.3390/sym14010097
Abstract: We use a recently proposed fast test of copula radial symmetry based on multiplier bootstrap and obtain an equivalent randomization test. The literature shows the statistical superiority of the randomization approach in the bivariate case.… read more here.
Keywords: randomization; copula; multiplier bootstrap; high dimensional ... See more keywords
A System of Parabolic Laplacian Equations That Are Interrelated and Radial Symmetry of Solutions
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DOI: 10.3390/sym17071112
Abstract: We utilize the moving planes technique to prove the radial symmetry along with the monotonic characteristics of solutions for a system of parabolic Laplacian equations. In this system, the solutions of the two equations are… read more here.
Keywords: radial symmetry; symmetry; system parabolic; laplacian equations ... See more keywords