Magnetic field dependence of microwave radiation in intermediate-length Josephson junctions

Abstract

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A distributed active patch antenna model of a Josephson oscillator

“…The spatial-temporal distribution of voltage in a JJ is described by the equation (see chapter 9 in [31]): (1) where c 0 is the (Swihart) velocity of EMWs in the TL formed by the JJ and L □ is the inductance of JJ per square. J z is the current density through the JJ, which has Cooper pair and quasiparticle (QP) components, (2) Here, J c0 is the Josephson critical current density, η is the Josephson phase difference, and r QP = R QP ab is the QP resistance per unit area.…”

“…A flux-flow oscillator (FFO) is the most extensively studied Josephson source of high-frequency electromagnetic waves (EMW) [1][2][3][4][5][6][7][8][9][10][11][12]. A FFO was used in the first direct demonstration of Josephson emission by Yanson et al, back in 1965 [13,14].…”

Driven oscillating nonlinear acoustic waves

“…This method is not directly applicable to our case with a fixed right hand boundary. We believe that for small oscillating displacements of the actuator, the boundary conditions in (12) are valid. For large displacements of the actuator a better choice is to use a grid, which follows the actuator.…”

“…At the first resonance one oscillating shock wave appears and at the second resonance two shock waves emerge, which can either be counter propagating or propagating in parallel. Our interest into oscillating shocks comes from previous work on oscillating sine-Gordon solitons appearing in long Josephson junctions [11][12][13]. Soliton oscillations in a Josephson junction give rise to singularities in the current-voltage characteristics associated with the oscillating solitons.…”

A distributed active patch antenna model of a Josephson oscillator

“…Flux-flow oscillator (FFO) is the most well studied Josephson source of high-frequency electromagnetic waves (EMW) [1][2][3][4][5][6][7][8][9][10][11][12]. FFO was used in the first direct demonstration of Josephson emission by Yanson, et.al., back in 1965 [13, 14].…”