if any of the m or n in case of TM MODE becomes zero then all the field components vanishes. Hence the waveguide has no relevence with TM01, TM10 or TM00 modes.
Therefore TM11 is the lowest order mode of all TMmn modes.
For similer reasons TE00 mode can not propagate through the waveguide.
Because it has the lowest cut-off frequency (highest cut off wavelength) for a>b o
A square waveguide does not allow single mode operation as for example fc(TEmn)=fc(TEnm).
circular is easy to manufacture than rectangular As the name indicates the circular is circular in shape and rectangular is rectangular in shape its uses same modes that is Te and Tm I know this much only hope this helped u little bit atleast A: In principle waveguides act as the equivalent of wires for high frequency circuits. For such applications, it is desired to operate waveguides with only one mode propagating inside of the waveguide. With rectangular waveguides, it is possible to design the waveguide such that the frequency band over which only one mode propagates is as high as 2:1 (i.e. the ratio of the upper band edge to lower band edge is 2). With circular waveguides, the highest possible band width allowing only a single mode to propagate is only 1.3601:1. I found it on Wikileaks.
TE10
Arif Ullah khan utman kheel this is because for conductor E parallel is zero this means that the surface of the wave guide is at equipotential and this potential follow the laplace equation .it means that there is no maxima and minima inside the wave guide . this means that the electric field inside zero . hence the TEM do not exist in wave guide only TE and TM can be exist . if we place some conductor in the wave guide then the conductor inside will not be equipotential and the TEM waves can be exist . like in Coaxial cables
TM10 and TM01 modes do not exist in a rectangular waveguide because they do not satisfy the boundary conditions imposed by the waveguide's walls. Specifically, for a TM mode, there must be at least one electric field component that is zero at the conducting walls, and the TM10 and TM01 modes would require a non-zero electric field at one of the walls, violating this condition. Consequently, only certain transverse modes, such as TM11 and TM21, are supported in rectangular waveguides.
Rectangular Waveguide - TE10; (TM11 in case of TM waves) Circular Waveguide - TE11;
The ratio of the area of a circular waveguide to that of a rectangular waveguide with the same dominant mode cutoff frequency can be derived from the relationship between their dimensions and the cutoff frequency. For the dominant mode (TE11 for circular and TE10 for rectangular), the cutoff frequency depends on the waveguide's geometry. Generally, the area of the circular waveguide is greater than that of the rectangular waveguide when both are designed to support the same cutoff frequency. Specifically, the area ratio can be expressed as ( A_{\text{circle}} / A_{\text{rectangle}} = \frac{\pi a^2}{ab} ) where ( a ) is the radius of the circular waveguide and ( b ) is the width of the rectangular waveguide, leading to a ratio dependent on their respective dimensions.
No it does not. The least mode for TM modes is the TM11 mode.
The transverse electromagnetic (TEM) mode cannot propagate in a rectangular waveguide because it requires both electric and magnetic fields to have no component in the direction of propagation. In a rectangular waveguide, the boundary conditions imposed by the walls necessitate that at least one field component must be longitudinal (along the direction of propagation) for any mode to exist. Thus, only transverse modes (TE and TM) can propagate, as they support fields that are entirely transverse to the direction of wave travel.
Because it has the lowest cut-off frequency (highest cut off wavelength) for a>b o
A square waveguide does not allow single mode operation as for example fc(TEmn)=fc(TEnm).
TE10 mode is the dominant mode with a>b, since it has the lowest attenuation of all modes. Either m or n can be zero, but not both.
circular is easy to manufacture than rectangular As the name indicates the circular is circular in shape and rectangular is rectangular in shape its uses same modes that is Te and Tm I know this much only hope this helped u little bit atleast A: In principle waveguides act as the equivalent of wires for high frequency circuits. For such applications, it is desired to operate waveguides with only one mode propagating inside of the waveguide. With rectangular waveguides, it is possible to design the waveguide such that the frequency band over which only one mode propagates is as high as 2:1 (i.e. the ratio of the upper band edge to lower band edge is 2). With circular waveguides, the highest possible band width allowing only a single mode to propagate is only 1.3601:1. I found it on Wikileaks.
TE10
It is a waveguide that is circular. Circular waveguides have modes that are described in terms of Bessel functions instead of the sines/cosines used for rectangular waveguides. The disadvantage is that the two lowest modes have cutoff frequencies spaced by less than an octave. Circular waveguides are used for rotating joints, for example in radar. The H01 mode in circular waveguide was used as a low-loss mode for transmitting signals over distance, but this technique has been replaced by fibre-optic cables.
waveguide is a metal pipe that contains and guides microwaves from place to place in a microwave system (e.g. oscillators, amplifiers, mixers, modulators, filters, antennas)horn antenna has a waveguide connected at its focus, in transmit mode the waveguide feeds the horn which then emits a microwave beam, in receive mode the horn collects a microwave beam and concentrates it int the waveguide