Spontaneous emission in a confined structure with output coupling Vacuum field and radiated field
Project/Area Number  07650045 
Research Category 
GrantinAid for Scientific Research (C)

Section  一般 
Research Field 
Applied optics/Quantum optical engineering

Research Institution  The University of ElectroCommunications 
Principal Investigator 
UJIHARA Kikuo The University of ElectroCommunications Professor, 電気通信学部, 教授 (90017351)

Project Fiscal Year 
1995 – 1997

Project Status 
Completed(Fiscal Year 1997)

Budget Amount *help 
¥1,800,000 (Direct Cost : ¥1,800,000)
Fiscal Year 1997 : ¥100,000 (Direct Cost : ¥100,000)
Fiscal Year 1996 : ¥100,000 (Direct Cost : ¥100,000)
Fiscal Year 1995 : ¥1,600,000 (Direct Cost : ¥1,600,000)

Keywords  spontaneous emission / optical confinement / output coupling / emission spectrum / threedimpensional analysis / mirrorimage effects / propability amplitude / two atom emission / 自然放出 / 光閉じ込め / 外部結合 / 自然放出スペクトル / 三次元的解析 / 鏡像効果 / 確率振幅の時間発展 / 二原子発光 / 三次元共振器モデル / 直交モード関数系 / 可観測自然放出光強度 / 感受率 / 共振器内真空場 / 連続モード展開 / 平板形共振器 / 原子減衰非摂動解析 / 空間応答関数 
Research Abstract 
1. Model Conventional cavity quantum electrodynamics is improved in that the output coupling and propagation effects are incorporated by defining field modes in the whole space cotaining the cavity. As a cavity model dielectric slab is taken. A two level atom interacts with the modes under dipole and rotatingwave approximation. 2. Onedimensional analysis Orthoganal modes are derived by imposing a periodic boundary condition with a large period in the directions normal to the slab. The normalization constants of the mode functions have Fourier expansions representing multiple reflectins at the cavity surfaces. A delaydifferential equation describing the emission process is obtained in the Schroedinger picture. It represents the effects of multiple reflection or mirror images. Based on this the emission spectum is shown to be expressed not only by the atomic decay but also by the spatial response function. 3. Threedimensional analysis By imposing a threedimensional periodic boundary conditions on the cavityspace system, orthogonal mode functions are derived. Limiting the atomfield system to the zero and oneexcitation subspace, a delay differential equation is derived in the Heisenderg picture. It reflects the effects of multiple reflecton or mirror images. Under a Markov approximation the spontaneous emission enhancement factors is obtained. 4. Two atom emission Spontaneous emission by two excited atoms in the cavity is analyzed in the Heisenberg picture and the total emission rate is calculated. There appear terms corresponding to oneatom emission and terms representing mutual interaction of the atoms. Numerical analysis of the latter terms show that the magnitude of the terms fall off as the interatomic distance increases over the mode diameter of the planar microcavity, thus elucidating the meaning of the mode diameter.

Report
(5results)
Research Output
(15results)