Linear and nonlinear optical processes in artificially structured materials
Bibliographic record
Abstract
We discuss optical effects in two channel micro-resonator structures, identify the underlying physics through a study of their dispersion relations, and present an efficient numerical technique that can be used to analyze pulse propagation within these structures when a Kerr nonlinearity is present. We show that these structures are ideal candidates for a number of photonic applications, such as optical buffers and optical AND-gates. The proposed applications are of interest to practitioners in the field of integrated optics. Following the discussion of numerical results, we present a Lorentzian model to describe transmission across short, Kerr nonlinear micro-resonator structures. Based on this model we derive a set of coupled differential equations that describe Kerr nonlinear pulse propagation and optical switching in systems coupled by a few cavities. The resulting equations greatly facilitate numerical investigations of intensity-dependent switching and optical bistability in such systems. We then consider a relation between the band structure and real space symmetry of a general class of quasi-lD dielectric structures. We show that by transforming the dielectric profile of these structures to an appropriate mirror image, time-reversed electromagnetic pulse propagation can be achieved. Our scheme provides a general recipe for obtaining time-reversed propagation in quasi-lD structures. In order to gain a deeper insight into pulse dynamics in periodic micro-resonator structures, we derive, for the first time, a set of coupled mode equations that describe pulse dynamics in the vicinity of the associated indirect band gaps. We employ an effective-field method and use a phenomenological Hamiltonian as the starting point. The resulting coupled mode equations are applicable to a wide class of side-coupled cavity structures, and lead to a more intuitive understanding of their dispersion relations. Lastly, we develop a rigorous Hamiltonian formulation for coupling problems commonly encountered in the study of artificially structured materials. We employ a "dressed mode" approach, which differs from coupled mode formalisms commonly used in the literature. The proposed formalism can be extended to include nonlinear effects in a systematic manner, and facilitate the analysis of optical processes in artificially structured materials in the quantum and nonlinear regimes.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.002 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".