Guide wavelength is defined as the distance between two equal phase planes along the waveguide. The guide wavelength is a function of operating wavelength (or frequency) and the lower cutoff wavelength, and is always longer than the wavelength would be in free-space. Here's the equation for guide wavelength:Guide wavelength is used when you design distributed structures in waveguide. For example, if you are making a PIN diode switch with two shunt diodes spaces 3/4 wavelength apart, use the 3/4 of a guide wavelength in your design. The guide wavelength in waveguide is longer than wavelength in free space. This isn't intuitive, it seems like the dielectric constant in waveguide must be less than unity for this to happen... don't think about this too hard you will get a headache. === ===
When a wave enters a waveguide from air, the phase velocity will decrease. This is because waveguides typically have a higher refractive index than air, causing the wave to slow down as it enters the waveguide.
In a waveguide, the effective wavelength is greater than the free space wavelength because the wave is confined within the boundaries of the waveguide, which results in a reduction in the phase velocity. This reduction in velocity causes the wavelength to appear longer in the guide compared to in free space.
Group velocity is the speed at which the envelope of a wave packet propagates, carrying energy and information. Phase velocity is the speed at which the individual wave crests propagate. In some cases, the group velocity can exceed the phase velocity, such as in the case of dispersive media.
Phase velocity is the speed at which the phase of a wave propagates through a medium. It is the rate at which the phase of a wave changes with respect to time or distance. Phase velocity is different from group velocity, which describes how the overall shape of a wave packet moves.
Phase velocity refers to the speed at which the phase of a wave propagates through space, while group velocity refers to the speed at which the envelope of the wave (group of wave packets) propagates through space. In many situations, the phase velocity can be different from the group velocity, leading to phenomena like dispersion.
Yes, phase velocity can exceed the speed of light in certain mediums. This is known as superluminal phase velocity. However, this does not violate the principle of causality or the speed of light in vacuum as it is the group velocity, rather than the phase velocity, that carries the information in a wave.
When a wave enters a waveguide from air, the phase velocity will decrease. This is because waveguides typically have a higher refractive index than air, causing the wave to slow down as it enters the waveguide.
In a waveguide, the effective wavelength is greater than the free space wavelength because the wave is confined within the boundaries of the waveguide, which results in a reduction in the phase velocity. This reduction in velocity causes the wavelength to appear longer in the guide compared to in free space.
Group velocity is the speed at which the envelope of a wave packet propagates, carrying energy and information. Phase velocity is the speed at which the individual wave crests propagate. In some cases, the group velocity can exceed the phase velocity, such as in the case of dispersive media.
The effective mode index is a parameter used in optical waveguides to describe how light propagates through a medium. It quantifies the phase velocity of light in the waveguide compared to the speed of light in vacuum, effectively capturing the influence of the waveguide's geometry and refractive index profile. The effective mode index is crucial for designing optical fibers and integrated photonic devices, as it helps predict how different modes will behave and interact.
In the context of physics, no information-carrying wave can travel faster than the speed of light in a vacuum, which is approximately 299,792 kilometers per second. However, certain phenomena, such as phase velocity in specific media or the group velocity of certain wave packets, can exceed the speed of light, but these do not transmit information in a way that violates relativity. Additionally, hypothetical concepts like tachyons are theorized to exceed light speed, but they remain unproven and purely speculative.
In waveguides, phase velocity can exceed the speed of light (c) because it is defined as the speed at which the phase of a wave propagates through space, which depends on the wave's wavelength and frequency. In these structures, the dispersion relation can lead to a situation where the wave's effective wavelength is longer than it would be in free space, allowing for a phase velocity greater than c. However, this does not violate relativity, as information or energy cannot be transmitted faster than c; it is merely a property of the wave's propagation in a constrained medium.
Phase velocity is the speed at which the phase of a wave propagates through a medium. It is the rate at which the phase of a wave changes with respect to time or distance. Phase velocity is different from group velocity, which describes how the overall shape of a wave packet moves.
it is the relative velocity of two phase that is gas and liquid.
Phase velocity refers to the speed at which the phase of a wave propagates through space, while group velocity refers to the speed at which the envelope of the wave (group of wave packets) propagates through space. In many situations, the phase velocity can be different from the group velocity, leading to phenomena like dispersion.
The velocity of a wave which maintains consatnt phase at all successive positions during propogation is known as wave velocity or phase velocity. The velocity of a group of waves which maintains constant poditions during the propogation is known as group velocity.
there is a reason. it does not need light.