Related Concept Videos
01:24Pole and System Stability
The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's response.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's response.
01:04Oscillations about an Equilibrium Position
Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so because...
01:28Standing 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:
01:30Oscillations In An LC Circuit
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
01:23Root Loci for Positive-Feedback Systems
The Hartley oscillator is a positive feedback system that sustains oscillations by feeding the output back to the input in phase, thereby reinforcing the signal. Positive feedback systems can be viewed as negative feedback systems with inverted feedback signals. In these systems, the root locus encompasses all points on the s-plane where the angle of the system transfer function equals 360 degrees.
The construction rules for the root locus in positive feedback systems are similar to those in...
The construction rules for the root locus in positive feedback systems are similar to those in...
01:06Forced Oscillations
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
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Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements
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Optical bistability in nonlinear periodic structures.
Optics Letters
|October 16, 2009
Summary
Researchers demonstrated optical switching and bistability using nonlinear periodic colloidal crystals with large electrostrictive nonlinearity. These findings advance the development of novel optical devices and materials.
Area of Science:
- Nonlinear optics
- Materials science
- Photonics
Background:
- Nonlinear periodic structures, such as colloidal crystals, are crucial for advanced optical applications.
- Electrostrictive nonlinearity in materials enables intensity-dependent optical properties.
Purpose of the Study:
- To experimentally investigate optical switching and bistability in nonlinear periodic structures.
- To characterize the transmission properties of colloidal crystals with large electrostrictive nonlinearity.
Main Methods:
- Utilizing a colloidal crystal with significant electrostrictive nonlinearity.
- Measuring the transmission characteristics as a function of incident light intensity.
- Analyzing behavior at various frequencies within the crystal's stopgap.
Main Results:
- Observed optical switching, bistability, and multistability.
- Demonstrated intensity-dependent transmission properties.
- Characterized the influence of light frequency on these phenomena.
Conclusions:
- Nonlinear periodic colloidal crystals are effective for achieving optical switching and bistability.
- The electrostrictive nonlinearity of these crystals is key to their optical switching capabilities.
- Experimental results provide valuable data for designing future optical devices.