Spontaneous emission in the presence of a dielectric slab

Żakowicz, W.; Błędowski, A.

doi:10.1103/physreva.52.1640

Cited by 29 publications

(17 citation statements)

References 4 publications

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“…The determination of 2 is facilitated by introducing the quantity s such that sin … 2 †ˆ…s=n † 1 µ s µ n so that cos … 2 †ˆ…1=n †…n 2 ¡ s 2 † 1=2 , cosh … 1 †ˆs, sinh … 1 †ˆ…s 2 ¡ 1 † 1=2 . For the k polarization case we ®nd to a good aproximation …sin … c †ˆ1=n † That there is only one angle of incidence 2 (inside the dielectric) for each choice of L may seem anomalous in view of the results obtained by other workers [11,12] that there is a whole series of trapped modes. However, the results obtained by those workers are for the case of a ®nite slab width and where the thin, strong dielectric approximation is not applied.…”

Section: Three-dimensional Fabry±perot Cavity: Trapped Modes For Lasementioning

confidence: 81%

“…Comparing equations (26) and (12) we see that the phase change on re¯ection r is the same as the phase shift ¿ r that causes a shift in the position of the Fabry±Perot resonance.…”

Section: Three-dimensional Fabry±perot Cavity: Travelling Modesmentioning

confidence: 91%

“…For given width and refractive index values for the dielectric layer we can, by increasing k ! well above the optical regime, eventually enter a regime in which the thin, strong dielectric approximation breaks down and further trapped modes start to appear, as in [11,12]. Inspection of their results indicates that k !…”

Section: Three-dimensional Fabry±perot Cavity: Trapped Modes For Lasementioning

confidence: 99%

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The standard model in cavity quantum electrodynamics. II. Coupling constants and atom field interaction

Dalton¹

1999

Journal of Modern Optics

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Speci®c forms of the travelling and trapped vector mode functions for a three-dimensional Fabry±Perot cavity are developed from the general results of the preceding paper, with parameters describing the output cavity mirror chosen for a typical high Q cavity case. Cavity and external quasi-mode functions associated with the quasi-mode theory of macroscopic canonical quantization are then obtained via an idealized choice of output mirror parameters. The coupling constants describing photon exchange processes between the single cavity quasi-mode associated with each Fabry±Perot resonance and various external quasi-modes are calculated, and their slow dependence on the external quasi-mode frequency shows that the conditions for irreversible Markovian damping of the cavity quasi-mode are satis®ed. For radiative atoms placed in the cavity the coupling constants for energy exchange processes with sideways travelling external quasi-modes also vary slowely, so that Markovian spontaneous emission damping occurs for the radiative atoms. However, their coupling with the isolated cavity quasi-modes is associated with reversible photon exchanges as represented via one photon Rabi frequencies. The standard model in cavity quantum electrodynamics, in which the basic processes are described by a cavity damping rate, a radiative atom spontaneous decay rate and an atom±cavity mode coupling constant has now been justi®ed in terms of the quasi-mode theory of macroscopic canonical quantization.

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Section: Three-dimensional Fabry±perot Cavity: Trapped Modes For Lasementioning

confidence: 81%

“…Comparing equations (26) and (12) we see that the phase change on re¯ection r is the same as the phase shift ¿ r that causes a shift in the position of the Fabry±Perot resonance.…”

Section: Three-dimensional Fabry±perot Cavity: Travelling Modesmentioning

confidence: 91%

Section: Three-dimensional Fabry±perot Cavity: Trapped Modes For Lasementioning

confidence: 99%

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The standard model in cavity quantum electrodynamics. II. Coupling constants and atom field interaction

Dalton¹

1999

Journal of Modern Optics

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“…Since ·ˆ· 0 everywhere equations (11) and (12) show that r £ A k is continuous across the I/II and II/III interfaces. For the plane wave solution equation (6) r £ A kˆi …k £ e † exp …ik· R †: …13 †…”

Section: Three-dimensional Fabry±perot Cavity: General Form Of the Momentioning

confidence: 99%

“…Similar mode functions have been discussed for systems similar to the present Fabry±Perot cavity, but not exactly equivalent, so the mode functions di er from those here. Khosravi and Loudon [11] and Zakowicz and Bledowski [12] consider a dielectric slab in free space, so there are no perfect mirrors on either side of the dielectric slab. Consequently they ®nd mode functions in which there is a single plane wave in region I or region III, corresponding to an incident plane wave coming in from the left or the right.…”

Section: …16 †mentioning

confidence: 99%

The standard model in cavity quantum electrodynamics. I. General features of mode functions for a Fabry-Perot cavity

Dalton¹

1999

Journal of Modern Optics

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In the present and the accompanying paper a justi®cation of the standard model of cavity quantum electrodynamics is given in terms of a quasi-mode theory of macroscopic canonical quantization. The coupling of the cavity quasi-mode to external quasi-modes is treated for the representative case of the three-dimensional Fabry±Perot cavity. The general form of the travelling and trapped mode functions for this cavity are derived in this paper and the mode±mode coupling constants are calculated in the accompanying paper. The slow dependence of the coupling constants with the mode frequency di erence demonstrates that the conditions for Markovian damping of the cavity quasimode are satis®ed. As also discussed in the accompanying paper, the interaction of radiative atoms with cavity quasi-modes is associated with reversible energy exchanges between atom and cavity and represented by Rabi coupling constants. The interaction of radiative atoms located within the cavity with sideways travelling external quasi-modes involves slowly varying coupling constants and is associated with irreversible spontaneous emission dampling. The basic processes represented in the standard cavity quantum electrodynamics model and the associated coupling constant and decay rates thereby follow from the quasi-mode theory.

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Spontaneous Emission by Atoms near a Dielectric Waveguide

Żakowicz¹,

Błędowski²

1996

Quantum Field Theory Under the Influence of External Conditions

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Spontaneous emission in the presence of a dielectric slab

Cited by 29 publications

References 4 publications

The standard model in cavity quantum electrodynamics. II. Coupling constants and atom field interaction

The standard model in cavity quantum electrodynamics. II. Coupling constants and atom field interaction

The standard model in cavity quantum electrodynamics. I. General features of mode functions for a Fabry-Perot cavity

Spontaneous Emission by Atoms near a Dielectric Waveguide

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