English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The general expressions for the time development of the ensemble averages ofE^- and E^-E^+ are found for N two level molecules (TLMs) interacting with asingle mode electromagnetic field. The TLMs are assumed to be at equivalentmode positions in the field. In the main body of the paper, the general resultsare then simplified by assuming that all TLMs are in the up state at time 0.Examples of spontaneous emission behavior including both Super Radiant behaviorand emission suppression are shown in Appendix E while stimulated emission withall TLMs initially in the lower state is examined in Appendix F. Both resonantand non resonant cases are considered in the main body. Analytic results arepresented for low numbers of TLMs. In the appendices, it will be shown that forthe mean photon number large in comparison to the number of TLMs, that theAverage Field Approximation (AFA) is a useful representation with much simpleranalytic form. The validity of this approximation will also be examined. In themain paper, a comparison between the exact results and results using the AFAwill be presented for a small number of TLMs and a large average photon number.It will be found that the results are in general remarkably similar but for nonresonance differ somewhat at a finer level of detail. Of interest is that theensemble averages for N TLMs is similar to the ensemble average for a singleTLM multiplied by the number of TLMs which is somewhat disappointing but isbelieved to be the consequence of assuming that all TLMs are at equivalent modepositions and large mean photon number. Some results for smaller photon numberwill also be presented

Stimulated and Spontaneous Emission of Radiation in a Single Mode for N-TLMs