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84926811703
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F. De Martini and G. Innocenti, in Quantum Optics IV, edited by J. Harvey and F. Walls (Springer, Berlin, 1986). This work reports a proposal and realization of the microcavity and its application to spontaneous emission (SpE). Microcavity SpE studies have also been reported by F. De Martini and G. Innocenti, International Quantum Electronics Conference (IQEC) Tech. Digest XIV, 147 (1986), F. DeMartini, G. Innocenti, and P. Mataloni, IQEC Tech. Digest XV, 128 (1987);
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22
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84926855624
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Casimir-type extreme confinement is realized for quantum-field confinement over a space-time length approx λD, the de Broglie wavelength of the corresponding particle. Examples are the microcavity, all kinds of particle diffraction, electrons in multiple-quantum-well structures.
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At the end of Sec. IV several integrals leading to the results for half space, symmetrical cavity, high-Q cavity, and very-narrow cavity could have been calculated analytically only by assuming that the optical parameters of the mirrors are independent of THETA. This generally leads to results that are not realized in real cases. Note, for instance, in Figs. 2 and 3 the large discrepancy existing, mostly for SpE inhibition, between the behavior of Γpara(z0) and Γppd(z0) for the cases of ideal mirror and of real mirror, respectively. Furthermore, the large value assigned by (4.27) to Γppd for d approx0, in inhibition conditions, is never realized in practice as shown by Fig. 4. As a general, relevant statement, when dealing with the value and the behavior of the SpE rates, the discrepancy found by comparing the cases of ideal and real mirrors is far larger for SpE inhibition than for SpE enhancement. The expressions r1j ( Θ ),t1j( Θ ), Φ ( THETA) have been evaluated for Ag-metal mirrors by the standard theory (Ref. 9) and plotted in Fig. 17. The computer simulation reported in the present work accounts rigorously for the THETA dependence of all optical parameters for any type of coating including metal, with the only exception of the calculations leading to Fig. 2.
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84926811701
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M. Born, and E. Wolf, in Principles of Optics (Macmillan, New York, 1964), Fabry-Pérot cavity thyeory, Chap. 7; optics of metals, Chap. 13. The numerical values of the complex optical parameters for the metals are found in American Institute of Physics Handbook (McGraw-Hill, New York, 1972), pp. 6-125 and 6-149. Unless otherwise stated, in this work all values of R1 and R2 are given for the mirror-air (n=1) interface.
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In the simulation, a more general expression of f for absorbing mirrors has been adopted (Ref. 9). There the absorption of the metal mirrors was accounted for by the dependence on THETA and polarization of the phase phi of the SpE reflected field; cf. Fig. 17.
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43
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The dielectric coatings were realized for our experiment by TVM Laboratories, Milano, and by Virgo-Optics, Port Richey, Florida. The metal coatings were realized by Instituto di Elettronica dello Stato Solido, Consiglio Nazionale delle Ricerche, Roma.
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(private communication). A reduction of quantum confinement is also due, for microcavity mirrors with limited diameter, to radiation leaking in radial directions owing to the substantial thickness of dielectric coatings. Detailed computer calculations show that with our experimental dielectric mirrors this effect amounts to a approx10% leaking of the total energy stored in the cavity.
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Yablonovich, E.1
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48
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The ``periodic pumping'' technique is based on self-interference on the λp-reflecting mirror B, of the pump beam injected through mirror A at a selectable angle Θp. This technique allows one to control by Θp-changes the location of the ``center of mass'' of the distribution of excited molecules in the intracavity space in order to determine there the spatial z distribution of the energy density of the vacuum fluctuations at wavelength lambda: cf. Figs. 2 and 3. A study of ``periodic pumping'' in the microcavity will be reported elsewhere.
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This f value was found to be smaller than the one obtained, under cavity excitation by a focused beam, by measurement of the FWHM extent Δ THETA of the angular distribution of SpE intensity relative to the cavity forward mode: Δ Θ = 2f-1/2, for d=d¯. This last $f value was found to be mostly determined by the value of R == (R2R2)1/2 according to FP theory: f = π R1/2/(1-R) (Refs. 6 and 9). There f is generally not affected by the mirror planarity but rather by properties localized within the cavity ``transverse quantum-correlation length'': cf. Ref. 6.
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have found that for several rhodamine dyes T2star is of the order of 50 fsec. The room-temperature values of the relevant characteristic times for the D05-F27 line of Eu-(DBM)4 are T2starapprox400 fsec, T0approx560 musec. Note that with respect to SpE and to other dynamical processes considered in the present work, our microcavity operates in steady-state condition as its confinement time τcav is of the order of a fraction of a picosecond and then τcav<< T. This justifies the adoption of the mode theory in our quantum SpE analysis.
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62
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Systeme aus monomolekularen Schichten – Zusammenbau und physikalisch-chemisches Verhalten
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and Möbius
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(1971)
Angewandte Chemie
, vol.83
, pp. 672
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Kuhn, H.1
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