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Related Concept Videos

Propagation of Waves01:07

Propagation of Waves

When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:
Parallel Resonance01:23

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
Propagation Speed of Electromagnetic Waves01:30

Propagation Speed of Electromagnetic Waves

Electromagnetic waves are consistent with Ampere's law. Assuming there is no conduction current Ampere's law is given as:
Reflection of Waves01:07

Reflection of Waves

When a wave travels from one medium to another, it gets reflected at the boundary of the second medium. A common example of this is when a person yells at a distance from a cliff and hears the echo of their voice. The sound waves (longitudinal waves) traveling in the air are reflected from the bounding cliff. Similarly, flipping one end of a string whose other end is tied to a wall causes a pulse (transverse wave) to travel through the string, which gets reflected upon reaching the wall. In...
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:

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Updated: Jun 19, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Propagation effects in variable-reflectivity resonators.

E Mottay, E Durand, E Audouard

    Optics Letters
    |October 2, 2009
    PubMed
    Summary
    This summary is machine-generated.

    A numerical model predicts solid-state variable-reflectivity resonator beam profiles, considering diffraction and energy depletion. Experimental results show intermediate field beam profiles are highly sensitive to residual resonator diffraction effects.

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    Area of Science:

    • Optics and Photonics
    • Laser Physics

    Background:

    • Solid-state lasers with variable-reflectivity mirrors are crucial for various applications.
    • Understanding beam profile formation is essential for laser design and performance optimization.

    Purpose of the Study:

    • To develop a numerical model for predicting the beam profile of solid-state variable-reflectivity resonators.
    • To experimentally investigate the influence of propagation effects and diffraction on beam profiles.

    Main Methods:

    • A numerical model was developed incorporating diffraction, gain saturation, and stored energy depletion.
    • Experimental analysis focused on propagation effects in the intermediate field.

    Main Results:

    • The numerical model successfully predicts resonator beam profiles.
    • Experimental data revealed extreme sensitivity of the intermediate field beam profile to residual diffraction within the resonator.

    Conclusions:

    • Numerical modeling provides a robust method for predicting laser beam profiles in variable-reflectivity resonators.
    • Minimizing residual diffraction is critical for achieving stable and predictable beam profiles in the intermediate field.