Related Experiment Video
Updated: Mar 18, 2026

Development of Whispering Gallery Mode Polymeric Micro-optical Electric Field Sensors
Published on: January 29, 2013
From Ewald sphere to Ewald shell in nonlinear optics.
Huang Huang1,2, Cheng-Ping Huang2, Chao Zhang1
1Key Laboratory of Modern Acoustics, National Laboratory of Solid State Microstructures, and National Center of Microstructures and Quantum Manipulation, Nanjing University, Nanjing 210093, China.
We introduce the Ewald shell construction, extending the nonlinear Ewald sphere concept. This model explains and experimentally verifies novel quasi-phase-matching effects in nonlinear photonic crystals.
Area of Science:
- Optics and Photonics
- Crystallography
- Nonlinear Optics
Background:
- The Ewald sphere is a vector scheme for X-ray Bragg diffraction.
- The nonlinear Ewald sphere illustrates optical frequency conversion.
- Quasi-phase-matching (QPM) is crucial for efficient nonlinear optical processes.
Purpose of the Study:
- To extend the nonlinear Ewald sphere concept to a new model called the Ewald shell construction.
- To theoretically suggest and experimentally verify novel quasi-phase-matching effects.
- To observe the dynamic evolution of QPM effects in nonlinear photonic crystals.
Main Methods:
- Development of the Ewald shell construction model.
- Theoretical analysis of quasi-phase-matching effects.
- Experimental verification using nonlinear photonic crystals.
- Observation of dynamic QPM effects through sample rotation.
Main Results:
- The Ewald shell construction successfully explains various quasi-phase-matching effects.
- Demonstration of the collective envelope effect and enhanced second-harmonic generation.
- Experimental observation of dynamic QPM effects that align with the Ewald shell model.
Conclusions:
- The Ewald shell construction provides a powerful framework for understanding nonlinear optical phenomena.
- This model facilitates the study and design of advanced nonlinear photonic devices.
- The dynamic observation of QPM effects offers new insights into light-matter interactions in crystals.
Related Concept Videos
Electric Field of a Non Uniformly Charged Sphere
Consider a non-uniformly charged sphere, for which the density of charge depends only on the distance from a point in space and not on the direction. Such a sphere has a spherically symmetrical charge distribution. Here, the electric...
Gauss's Law: Spherical Symmetry
Electromagnetic Wave Equation
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations:...
Gauss's Law: Cylindrical Symmetry
Spherical Coordinates
Ostwald’s Dilution Law

