Lecture 4 : 2nd order nonlinear interactions (PART 1)
Résumé de section
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Second order nonlinearities will be introduced starting with a derivation of the Manley-Rowe relations, which give physical insights in the 2nd order nonlinear interactions to be studied in the course.We will consider the case of the Second Harmonic Generation (SHG) effect (under the undepleted pump approximation) and discuss about the phase matching condition.Following a short reminder on optics in anisotropic materials, we will show how the birefringent properties can be used to fulfill the phase matching condition. An application in the case of SHG will be provided.
By the end of this course, students will be skilled at ...
• S2 - Determining the phase matching conditions for a given nonlinear interaction and achieving/fulfilling this condition by exploiting birefringence properties of materials and/or QPM technique•S3 - Solving the nonlinear equation in parametric situations and derive analytical solutions under the undepleted pump approximation•S4 - Calculating nonlinear interaction performances/efficiencies in situations governed by analytical solutions or expressions•By the end of this course, students will understand ...
- Link between the frequency relation and the law
of energy
conservation, the phase matching relation and the law
of momentum conservation
- Nonlinear effects are a key points in the development of many applications in photonics (especially in relation with laser physics)
- Nonlinear interactions lead to energy transfer between optical beams, and/or between matter and beams, enabling in some cases the realization of nonlinear optical amplification and/or oscillation.
- Nonlinear optics is an essential tool to create novel optical frequencies generated through the interaction of incident beams within nonlinear materials
- Nonlinear effects are subject to phase matching conditions
By the end of this course, students will start to be able to ...
- Model 2nd order nonlinear effects,
- Evaluate nonlinear interaction performances/efficiencies under approximations that should be specified, explained and justified
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Les étudiants doiventMarquer comme terminé
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Nonlinear susceptibility tensors - Ex-1 Test
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Nonlinear susceptibility tensors - Ex 2 Test
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Nonlinear susceptibility tensors - Ex 3 Test
- Link between the frequency relation and the law
of energy
conservation, the phase matching relation and the law
of momentum conservation