Concept 39 of 42 · Frontiers, Experiments and Design

Fabrication and disorder

Nanometre-scale fabrication errors modify optical spectra, loss and emitter coupling.

01 / Mathematical framework

$$\delta\omega\approx-\frac{\omega}{2}\frac{\int\delta\epsilon\vert E\vert^2dV}{\int\epsilon\vert E\vert^2dV}$$

Physical intuition

Nanometre-scale fabrication errors modify optical spectra, loss and emitter coupling. This is the starting point for understanding how nanoscale optical geometry changes the states or dynamics accessible to light and matter.

Deep dive: how the mechanism works

Geometry fluctuations perturb the dielectric profile and scatter guided fields; roughness can couple modes into radiation channels.

How the quantum phenomenon appears

Electron-beam lithography and etching define photonic-crystal nanocavities. To distinguish a genuinely quantum signal from a classical optical response, connect the device physics to a measurement such as photon correlations, interference visibility, energy-level structure or quantum-state tomography where appropriate.

Assumptions and limitations

First-order perturbation is inaccurate for large geometry changes or strongly dispersive media.

Research and simulation exercise

Identify the tunable parameters, predict the observable from the stated model, and sweep one parameter while holding the others fixed. Compare against a simpler reference model, quantify loss and uncertainty, and state which observations would falsify the hypothesis.

Connect the ideas

Quantum nonlinear optics Numerical methods: FDTD and FEM

See the chapter guide and further reading.

← Previous Next concept →

λFabrication and disorder