Polarization Mismatch Loss Calculator

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Transmission Line & Antenna Theory

Transmission Line Characteristics

✖Theta is the difference in the polarization angle between the two antennas. θ can represent the angle between two vectors or the angular position of an object.ⓘ Theta [θ]

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✖Polarization mismatch loss is the reduction in signal strength or degradation of signal quality that occurs when there is a mismatch between the polarizations of a transmission line and an antenna.ⓘ Polarization Mismatch Loss [M_L]

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Formula

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Polarization Mismatch Loss

Formula

`"M"_{"L"} = -20*log10(cos("θ"))`

Example

`"1.249387dB"=-20*log10(cos("30°"))`

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Download Transmission Line & Antenna Theory Formulas PDF

Polarization Mismatch Loss Solution

STEP 0: Pre-Calculation Summary

Formula Used

Polarization Mismatch Loss = -20*log10(cos(Theta))
M_L = -20*log10(cos(θ))
This formula uses 2 Functions, 2 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Polarization Mismatch Loss - (Measured in Decibel) - Polarization mismatch loss is the reduction in signal strength or degradation of signal quality that occurs when there is a mismatch between the polarizations of a transmission line and an antenna.
Theta - (Measured in Radian) - Theta is the difference in the polarization angle between the two antennas. θ can represent the angle between two vectors or the angular position of an object.

STEP 1: Convert Input(s) to Base Unit

Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_L = -20*log10(cos(θ)) --> -20*log10(cos(0.5235987755982))

Evaluating ... ...

M_L = 1.249387366083

STEP 3: Convert Result to Output's Unit

1.249387366083 Decibel --> No Conversion Required

FINAL ANSWER

1.249387366083 ≈ 1.249387 Decibel <-- Polarization Mismatch Loss

(Calculation completed in 00.004 seconds)

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Credits

Created by Vidyashree V

BMS College of Engineering (BMSCE), Bangalore

Vidyashree V has created this Calculator and 25+ more calculators!

Verified by Saiju Shah

Jayawantrao Sawant College of Engineering (JSCOE), Pune

Saiju Shah has verified this Calculator and 25+ more calculators!

< 15 Transmission Line & Antenna Theory Calculators

Gain of Parabolic Reflector Antenna

Go Gain of Parabolic Reflector Antenna = 10*log10(Efficiency Factor of Parabolic Reflector*(pi*Parabolic Reflector Diameter/Wavelength)^2)

Velocity of Propagation in Telephonic Cable

Go Velocity of Propagation in Telephonic Cable = sqrt((2*Angular Velocity)/(Resistance*Capacitance))

Phase Constant in Telephone Cable

Go Phase Constant = sqrt((Angular Velocity*Resistance*Capacitance)/2)

Return Loss(dB)

Go Return Loss = 20*log10(Incident Power Fed into Antenna/Reflected Power by Antenna)

Parallel Waveguide Distance from Cutoff Wavenumber

Go Parallel Waveguide Distance = (Mode Index*pi)/Cutoff Wavenumber

Cutoff Wavenumber in TM and TE Mode

Go Cutoff Wavenumber = (Mode Index*pi)/Parallel Waveguide Distance

Focal Length of Reflector

Go Focal Length of Reflector = ((Parabolic Reflector Diameter^2)/(16*Depth of Parabola))

Polarization Mismatch Loss

Go Polarization Mismatch Loss = -20*log10(cos(Theta))

Minimum Distance from Antenna

Go Minimum Distance from Antenna = (2*Parabolic Reflector Diameter^2)/Wavelength

Beamwidth of Reflector

Go Beamwidth = (70*Wavelength)/Parabolic Reflector Diameter

Voltage Maxima

Go Voltage Maxima = Incident Voltage+Reflected Voltage

Voltage Minima

Go Voltage Minima = Incident Voltage-Reflected Voltage

Current Maxima

Go Current Maxima = Incident Current+Reflected Current

Current Minima

Go Current Minima = Incident Current-Reflected Current

Velocity Factor

Go Velocity Factor = 1/(sqrt(Dielectric Constant))

Polarization Mismatch Loss Formula

Polarization Mismatch Loss = -20*log10(cos(Theta))
M_L = -20*log10(cos(θ))

What is polarization mismatch?

Polarization mismatch refers to a situation where the polarization states of two interacting waves or components are not aligned, leading to suboptimal or inefficient coupling, transmission, or reception of signals.

How to Calculate Polarization Mismatch Loss?

Polarization Mismatch Loss calculator uses Polarization Mismatch Loss = -20*log10(cos(Theta)) to calculate the Polarization Mismatch Loss, The Polarization Mismatch Loss formula is defined as the loss that occurs when the transmit and receive antennas are both linearly polarized, and physical antenna is misaligned. It is measured in dB. Polarization Mismatch Loss is denoted by M_L symbol.

How to calculate Polarization Mismatch Loss using this online calculator? To use this online calculator for Polarization Mismatch Loss, enter Theta (θ) and hit the calculate button. Here is how the Polarization Mismatch Loss calculation can be explained with given input values -> 1.249387 = -20*log10(cos(0.5235987755982)).

FAQ

What is Polarization Mismatch Loss?

The Polarization Mismatch Loss formula is defined as the loss that occurs when the transmit and receive antennas are both linearly polarized, and physical antenna is misaligned. It is measured in dB and is represented as M_L = -20*log10(cos(θ)) or Polarization Mismatch Loss = -20*log10(cos(Theta)). Theta is the difference in the polarization angle between the two antennas. θ can represent the angle between two vectors or the angular position of an object.

How to calculate Polarization Mismatch Loss?

The Polarization Mismatch Loss formula is defined as the loss that occurs when the transmit and receive antennas are both linearly polarized, and physical antenna is misaligned. It is measured in dB is calculated using Polarization Mismatch Loss = -20*log10(cos(Theta)). To calculate Polarization Mismatch Loss, you need Theta (θ). With our tool, you need to enter the respective value for Theta and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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