Abstract

In this paper we consider possible analogue Hawking radiation from a normal dielectric and metamaterial composite, having an analogue horizon where the dielectric parameters vanish and change sign upon crossing this transition zone. We follow a complex path analysis to show the presence of an analogue Hawking temperature at the horizon and subsequent photon production from the ambient electromagnetic field. Possibility of experimental observation is also commented upon.

Highlights

  • Even after around 45 years, Hawking’s theoretical discovery [1] of black hole (BH) radiation remains in the limelight in a somewhat enigmatic way since no smoking gun evidence of it has been produced in the astrophysical context, the major reason being the tiny value of Hawking temperature ∼10−8 K for a solar mass black hole

  • This has led to a flurry of activity in the analogue gravity scenario, pioneered by Unruh [2] in a fluid system, followed by many works in different physical systems

  • In all these cases the underlying principle is that the relevant degree of freedom of a physical system satisfies an equation of motion that can be cast in the conventional form of dynamics in an effective curved spacetime

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Summary

INTRODUCTION

Even after around 45 years, Hawking’s theoretical discovery [1] of black hole (BH) radiation remains in the limelight in a somewhat enigmatic way since no smoking gun evidence of it has been produced in the astrophysical context, the major reason being the tiny value of Hawking temperature ∼10−8 K for a solar mass black hole. This has led to a flurry of activity in the analogue gravity scenario, pioneered by Unruh [2] in a fluid system, followed by many works in different physical systems (see [3] for a review) In all these cases the underlying principle is that the relevant degree of freedom of a physical system (that need not have any direct connection to general relativity or gravitation and preferably possible to construct the system in a laboratory) satisfies an equation of motion that can be cast in the conventional form of dynamics in an effective curved spacetime.

ELECTRODYNAMICS IN NONUNIFORM MEDIUM
GRADED METAMATERIAL AND HAMILTON-JACOBI SCHEME
EFFECTIVE SCHRÖDINGER PROBLEM
ANALOGUE HAWKING TEMPERATURE AND ANALOGUE HAWKING RADIATION
DISCUSSION
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