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Related Concept Videos

Propagation of Waves01:07

Propagation of Waves

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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...
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Interference: Path Lengths01:10

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Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
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Sound Waves: Interference00:53

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Sound waves can be modeled either as longitudinal waves, wherein the molecules of the medium oscillate around an equilibrium position, or as pressure waves. When two identical waves from the same source superimpose on each other, the combination of two crests or two troughs results in amplitude reinforcement known as constructive interference. If two identical waves, that are initially in phase, become out of phase because of different path lengths, the combination of crests with troughs...
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Interference and Superposition of Waves01:07

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When two waves of the same nature occur in the same region simultaneously, they result in interference. Interference of waves implies that the net effect of the waves is the sum of the individual waves' effects. However, it does not imply that the individual waves affect the propagation of other waves.
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
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Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

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Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
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Wave Parameters01:10

Wave Parameters

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The simplest mechanical waves are associated with simple harmonic motion and repeat themselves for several cycles. These simple harmonic waves can be modeled using a combination of sine and cosine functions. Consider a simplified surface water wave that moves across the water's surface. Unlike complex ocean waves, in surface water waves, water moves vertically, oscillating up and down, whereas the disturbance of the wave moves horizontally through the medium. If a seagull is floating on the...
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Related Experiment Video

Updated: Jul 8, 2025

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Dispersive wave manipulation by the spectral Heaviside step phase modulation.

Haozhe Li, Yanxia Gao, Dianyuan Fan

    Optics Letters
    |December 15, 2023
    PubMed
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    We demonstrate controlling dispersive waves (DWs) using shaped pulses with spectral Heaviside step phases (HSPs). Tailoring HSP parameters enables precise control over DW emission, boosting efficiency for supercontinuum generation and wavelength conversion.

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    Area of Science:

    • Nonlinear optics
    • Quantum optics
    • Optical physics

    Background:

    • Dispersive waves (DWs) are crucial for nonlinear optical phenomena.
    • Shaped optical pulses offer a means to control light-matter interactions.
    • Spectral phase modulation is a key technique in pulse shaping.

    Purpose of the Study:

    • To investigate the generation and control of dispersive waves (DWs) from shaped optical pulses.
    • To explore the role of spectral Heaviside step phases (HSPs) in modulating pulse properties.
    • To demonstrate the potential for enhanced supercontinuum generation and wavelength conversion.

    Main Methods:

    • Modulating optical pulses with spectral Heaviside step phases (HSPs).
    • Analyzing the resulting double-peak pulse structure and its parameters (modulation depth, frequency detuning).
    • Investigating the influence of spectral shaping on DW emission characteristics (resonant frequency, conversion efficiency).

    Main Results:

    • HSP-modulated pulses exhibit a controllable double-peak structure.
    • DW emission can be precisely controlled by tailoring HSP parameters.
    • Enhanced DW emission and solitonic cage formation were observed by optimizing peak intensity ratio and separation.

    Conclusions:

    • Spectral Heaviside step phases provide a straightforward and efficient method for controlling dispersive wave emission.
    • This technique offers significant potential for advancing supercontinuum generation and wavelength conversion technologies.
    • The findings pave the way for novel applications in nonlinear optics and optical signal processing.