Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Annual Meeting Optical Society of America

Theory of classical and quantized dipole radiators near a phase conjugate mirror

Erik J. Bochove

Published Jan 1, 1987• 0 citations
Publisher

Abstract

The interaction of a radiating dipole with a phase conjugate mirror (PCM) is enhanced due to wavefront reversal by the PCM as well as by possible gain. Moreover, decay at two frequencies is predicted when ω o = ω m and 4(α r + αnr) d/c ≪ 1, where ω o = free oscillation frequency of the dipole, ω m = pump frequency of PCM (four-wave mixing), α r , and α nr are the radiative and nonradiative decay rates, respectively, and d is the effective distance to the PCM. Decay at multiple frequencies is predicted when 4(α r + α nr ) d/c ≳ 1. Locking of decay frequencies to the pump frequency is predicted at a critical pump intensity and at a second critical point the dipole gains energy from the PCM.

DOI
10.1364/oam.1987.mf12

Related papers

Spontaneous and stimulated emission by atoms interacting with a phase conjugate mirror

Erik J. Bochove, Peter W. Milonni

The properties of a phase conjugate mirror (PCM) interacting radiatively with other objects are investigated. The spontaneous emission rate of a two-level atom (TLA) is attributed to the dipole emission of the upper energy level into vacuum field modes incident on the front face of the PCM, the emission into vacuum modes transmitted from the rear port of the PCM, enhanced by a factor 1 + R (R = reflectivity), and the emission of a photon while the atom is in the lower level, accompanied by annihilation of two pump photons, weighted by a factor of R per emitted photon. These processes lead to an enhancement factor of 1 + R for the spontaneous decay rate and a steady state upper level occupation probability R/(2R + 2), both in agreement with solution of the Heisenberg equations of TLA operators.1 The momentum transfer is zero, and the steady state emission rate is A12R(R + 2)/(2R + 2) photons/s atom. The stimulated emission and absorption constants are enhanced in a similar way. Contrary to the case of a conventional mirror, the Lippman fringes are present only for coherent radiation states.

Annual Meeting Optical Society of America•Jan 1, 1989•0 citations

Theory of phase-conjugate oscillators II

Wun-Shung Lee, Pochi Yeh, Ragini Saxena +1 more

This paper is the second in a series describing propagation of electromagnetic radiation in phase-conjugate oscillators. We apply the formulation developed in the first paper to study the phase-conjugate resonator (PCR) and the Fabry–Perot cavity with an intracavity phase-conjugate mirror (PCM). Our results show that nondegenerate oscillation occurs in the PCR for large parametric gains and fixed separation between the conventional reflector and the PCM. The bandwidth is considerably reduced from that of a PCM alone. In the phase-conjugate oscillator, oscillation will occur at the pump frequency only if there is no separation between the conventional mirrors and the phase-conjugate element and if the nonlinear medium fills the entire Fabry–Perot cavity.

Journal of the Optical Society of America B•Jul 1, 1991•2 citations

Fluorescence near a phase-conjugating mirror: Amplification of quantum noise

Peter W. Milonni, Eric J. Bochove, Richard J. Cook

We consider the spontaneous emission by an atom near a phase-conjugating mirror (PCM). The effect of the PCM on the decay rate may be understood equivalently in terms of vacuum-field modes reflected and conjugated by the PCM, or in terms of vacuum modes transmitted and amplified without conjugation by the PCM.

Physical Review A•Oct 1, 1989•8 citations

Radiative corrections and related effects on an atomic dipole in the presence of a phase-conjugate mirror, in the framework of stochastic electrodynamics

Jocelyn Ochoa Feliciano

Results on modifications to radiative corrections of an atomic dipole, in the vicinity of a phase-conjugate mirror (PCM), from the point of view of stochastic electrodynamics are presented. We show that the PCM can enhance or inhibit the real zero-point field. Also we discuss the existence of a 'Casimir-like' force, an interference pattern in the front of the mirror and a dynamical quadratic Stark-like effect in the atom.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Feb 5, 1996•0 citations

Time reversal, enhancement, and suppression of dipole radiation by a phase-conjugate mirror

Erik J. Bochove

The interaction of a dipole radiator with a phase-conjugate mirror through a quantized radiation field leads to dramatic enhancement of the nonlinearity if the radiator is a slightly anharmonic oscillator. Quantum noise from the conjugator saturates the linear and nonlinear response of a two-level radiator when the reflectivity exceeds unity.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Sep 1, 1991•0 citations

Radiative Momentum Transfer to Atoms by a Phase-Conjugate Mirror

Erik J. Bochove, Peter W. Milonni

We demonstrate, by solution of the Heisenberg equations of motion of the pseudo-spin and momentum operators of a two-level atom interacting with a phase- conjugate mirror (PCM) and a quantized radiation field, that a force is exerted by the PCM on the ground state atom. The expression found for the force is F=gRA(P1-P2)pvn̂, where P1 and P2 are the ground and excited state occupation probabilities, A=Einstein A-coefficient, pv=photon momentum at resonance, R=PCM reflectivity, n̂=unit outward normal to the PCM, and g=an aperture factor (g=9/64 for a dipole parallel to the plane of the PCM and solid angle=Ω= 2╔) . This result has a simple physical interpretation in terms of vacuum fields that are conjugated or amplified by the PCM (1,2).

Annual Meeting Optical Society of America•Jan 1, 1989•0 citations
The interaction of a radiating dipole with a phase conjugate mirror (PCM) is enhanced due to wavefront reversal by the PCM as well as by possible gain. Moreover, decay at two frequencies is predicted when ω o = ω m and 4(α r + αnr) d/c ≪ 1, where ω o = free oscillation frequency of the dipole, ω m = pump frequency of PCM (four-wave mixing), α r , and α nr are the radiative and nonradiative decay rates, respectively, and d is the effective distance to the PCM. Decay at multiple frequencies is predicted when 4(α r + α nr ) d/c ≳ 1. Locking of decay frequencies to the pump frequency is predicted at a critical pump intensity and at a second critical point the dipole gains energy from the PCM.
The properties of a phase conjugate mirror (PCM) interacting radiatively with other objects are investigated. The spontaneous emission rate of a two-level atom (TLA) is attributed to the dipole emission of the upper energy level into vacuum field modes incident on the front face of the PCM, the emission into vacuum modes transmitted from the rear port of the PCM, enhanced by a factor 1 + R (R = reflectivity), and the emission of a photon while the atom is in the lower level, accompanied by annihilation of two pump photons, weighted by a factor of R per emitted photon. These processes lead to an enhancement factor of 1 + R for the spontaneous decay rate and a steady state upper level occupation probability R/(2R + 2), both in agreement with solution of the Heisenberg equations of TLA operators.1 The momentum transfer is zero, and the steady state emission rate is A12R(R + 2)/(2R + 2) photons/s atom. The stimulated emission and absorption constants are enhanced in a similar way. Contrary to the case of a conventional mirror, the Lippman fringes are present only for coherent radiation states.
This paper is the second in a series describing propagation of electromagnetic radiation in phase-conjugate oscillators. We apply the formulation developed in the first paper to study the phase-conjugate resonator (PCR) and the Fabry–Perot cavity with an intracavity phase-conjugate mirror (PCM). Our results show that nondegenerate oscillation occurs in the PCR for large parametric gains and fixed separation between the conventional reflector and the PCM. The bandwidth is considerably reduced from that of a PCM alone. In the phase-conjugate oscillator, oscillation will occur at the pump frequency only if there is no separation between the conventional mirrors and the phase-conjugate element and if the nonlinear medium fills the entire Fabry–Perot cavity.
We demonstrate, by solution of the Heisenberg equations of motion of the pseudo-spin and momentum operators of a two-level atom interacting with a phase- conjugate mirror (PCM) and a quantized radiation field, that a force is exerted by the PCM on the ground state atom. The expression found for the force is F=gRA(P1-P2)pvn̂, where P1 and P2 are the ground and excited state occupation probabilities, A=Einstein A-coefficient, pv=photon momentum at resonance, R=PCM reflectivity, n̂=unit outward normal to the PCM, and g=an aperture factor (g=9/64 for a dipole parallel to the plane of the PCM and solid angle=Ω= 2╔) . This result has a simple physical interpretation in terms of vacuum fields that are conjugated or amplified by the PCM (1,2).