Related Experiment Video
Updated: Jun 24, 2025
09:13
Implementation of a Nonlinear Microscope Based on Stimulated Raman Scattering
Published on: July 6, 2019
7.6K
Linear and nonlinear optics in composite systems: From diagrammatic modeling to applications
Thomas Noblet1, Bertrand Busson2
1GRASP-Biophotonics, CESAM, University of Liege, Institute of Physics, Allée du 6 août 17, 4000 Liège, Belgium.
The Journal of Chemical Physics
|June 5, 2024
Summary
This study introduces a diagrammatic theory of optics to calculate optical responses in bipartite systems, enabling precise modeling of light-matter interactions for various composite structures.
Area of Science:
- Quantum optics
- Condensed matter physics
- Nanophotonics
Background:
- Bipartite systems involve two microscopic entities exchanging energy.
- Understanding optical responses (polarizabilities, hyperpolarizabilities) is crucial for these systems.
- Existing methods may not fully capture complex light-matter and matter-matter interactions.
Purpose of the Study:
- To develop a general theoretical framework for calculating optical response functions in bipartite systems.
- To incorporate matter-matter interactions into higher-order optical processes.
- To apply the formalism to diverse composite systems.
Main Methods:
- Utilized the diagrammatic theory of optics to determine optical response functions.
- Employed transfer matrices within the dipolar approximation to link interacting and non-interacting entities.
- Allowed for arbitrary Hamiltonians and energy exchange quanta.
Main Results:
- Developed universal transfer matrices that modify optical response functions at all orders.
- Successfully implemented matter-matter interactions in higher-order processes like Raman scattering and four-wave mixing.
- Demonstrated the formalism's applicability to dimers, multimers, lattices, molecular layers, and image dipoles.
Conclusions:
- The diagrammatic theory provides a versatile tool for studying optical properties of interacting systems.
- The transfer matrix approach offers a unified way to include matter-matter interactions in optical phenomena.
- This framework advances the understanding and design of advanced optical materials and devices.
Related Concept Videos
01:26Linear Approximation in Frequency Domain
89
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
89
01:26Classification of Systems-I
179
Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
179
01:21Linear Approximation in Time Domain
81
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
81
01:12Bewley Lattice Diagram
615
The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
615
01:23Linear time-invariant Systems
248
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
248
01:16Confocal Fluorescence Microscopy
13.2K
Confocal microscopy is an advanced microscopic technique. The prime advantage of the confocal microscope over other microscopy techniques is its ability to block the out-of-focus light from the illuminated samples using pinholes. It is widely used with fluorescence optics to obtain high-resolution, sharp contrast images. Unlike optical microscopes, confocal microscopes use a focused beam of light laser to scan the entire sample surface at different z-planes. These microscopes are, therefore,...
13.2K