Explain why in optical fiber the higher TE and TM
modes (m> 1) mixed into hybrid mode?

Answers

Answer 1

In optical fibers, higher TE and TM modes (m > 1) are mixed into hybrid modes due to the presence of the fiber's cylindrical symmetry and the coupling between the electric and magnetic fields.

Optical fibers have a cylindrical structure, which leads to cylindrical symmetry in their refractive index profile. This symmetry allows for the existence of different modes of propagation, including TE (Transverse Electric) and TM (Transverse Magnetic) modes. Each mode represents a specific polarization state of the electric and magnetic fields.

In the case of higher-order modes (m > 1), the cylindrical symmetry of the fiber's structure leads to the coupling between different polarization components.

This coupling results in the mixing of TE and TM modes, giving rise to hybrid modes.

These hybrid modes have both electric field components perpendicular to the fiber axis (TE-like) and magnetic field components parallel to the fiber axis (TM-like).

The mixing of higher-order TE and TM modes into hybrid modes can be attributed to the complexity of the fiber's structure and the interactions between the electric and magnetic fields.

This mixing phenomenon is a characteristic feature of optical fibers and has implications for the propagation characteristics and modal dispersion in fiber optic communication systems.

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Related Questions

how many moons are in our galaxy if u count all the other planets moons?

Answers

Mercury - 0Venus - 0Earth - 1Mars - 2Jupiter - 79 (53 confirmed, 26 provisional)Saturn - 82 (53 confirmed, 29 provisional)Uranus - 27Neptune - 14

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In basin and range topography, the lowest areas are frequently occupied by a(n) ________.

Answers

In basin and range topography, the lowest areas are frequently occupied by a(n)  basin.

Basin and range topography is a geological feature characterized by alternating mountain ranges and elongated valleys or basins. The formation of this topography is attributed to the stretching and faulting of the Earth's crust, which leads to the uplift of mountains and the subsidence of adjacent basins.

The lowest areas in this type of topography are often occupied by basins, which are elongated depressions or low-lying regions. These basins typically collect sediment and water, forming flat or gently sloping landscapes. They can range in size from small valleys to extensive lowland areas.

The basins are important features of the basin and range topography and contribute to the unique landscape and hydrological characteristics of the region.

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If the Sun is located at one focus of Earth's elliptical orbit, what is at the other focus? a. Jupiterb. Earth c. nothing d. another planet e. the Moon

Answers

The other focus of the Sun will be Nothing, hence option C is the correct answer. See more explanation below.

The other focus of the Sun

The other focus of Earth's elliptical orbit is empty space because an ellipse is defined as a set of points in a plane, such that the sum of the distances from any point on the curve to two fixed points (the foci) is a constant. Because the Sun is located at one of the foci, the other focus must be empty space.

The orbit of the Earth is also shaped like an ellipse, which is a closed curve that is widened and flattened in one direction. The point where the ellipse is most stretched out is its focus, and the point where it is most flattened is its other focus. One of the foci is where the Sun is, and the other is just empty space.

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A force of 20 N is acting on a box. What other
information is needed to accurately describe this force?

Answers

Answer:

A direction.

Explanation:

In order for a force to have meaning, it must have both direction and magnitude. It's rather like putting a dollar sign on a number--the item has no units and therefore no cost until labeled.

Give an example of the Law of Conservation of Energy. Explain your example

Answers

Answer: The law of conservation of energy can be seen in these everyday examples of energy transference: Water can produce electricity. Water falls from the sky, converting potential energy to kinetic energy. This energy is then used to rotate the turbine of a generator to produce electricity.

Explanation: Thats what we learned

the accuracy of a series of measurements is best understood by looking at the

Answers

The accuracy of a series of measurements is best understood by looking at the known value.

The values obtained in a series of measurement can be precise or accurate.

The precision of the measurement is obtained by looking at the trend of the values obtained.

If the values are close to each other, the measurement is precise but if the values are far from each other, the measurement is not precise.

The accuracy of a measurement is determine by comparing the determine value against a known value.

If the measured value is close to a known value, then the measurement is accurate, but if the measured value is from from a known value then the measurement is not accurate.

Thus, the accuracy of a series of measurements is best understood by looking at the known value.

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What happens to the energy in a substance when it changes state?
It is destroyed
It is changed into matter
It changes form, but is neither destroyed nor increased
The energy remains unchanged

Answers

Answer: Energy can neither be created nor destroyed but it can only be transformed from one form to another.

Explanation: According to the law of conservation of energy given by Julius Robert Mayer Energy can neither be created nor destroyed but it can only be transformed from one form to another.

it can be explained by an example that when we burn a candle, the chemical energy of wax is converted into light energy.

Also in dams the running water of the river is used to convert mechanical energy into hydroelectric energy

A skateboarder initially has 5 kJ of kinetic energy. As she freewheels along a flat section of path, she does 400 J of work against friction and air resistance. Calculate her final kinetic energy.​

Answers

The final kinetic energy of the skateboarder after she freewheels and did work against friction on the flat section of the path is 4,600 J.

Conservation of energy

The final kinetic energy of the stakeboarder is determined by applying the principle of conservation of energy as shown below;

ΔK.E = -W

K.Ef - K.Ei = -W

where;

K.Ef is the final kinetic energyK.Ei is the initial kinetic energyW is work done

K.Ef = K.Ei - W

K.Ef = 5,000 J - 400 J

K.Ef = 4,600 J

Thus, the final kinetic energy of the skateboarder is 4,600 J.

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Gravity accelerates any object falling at 9.8 m/s2. What is the force that will be applied to the ground if an 88 kg box falls from the top of a shelf to the ground?​

Answers

Answer:

The force is of the weight 862,4 Newtons.

Explanation:

We have the formula:

w = m * g

Data:

w = weight = ¿?

m = mass = 88 kg

g = gravity = 9,8 m/s

Replacing according formula:

w = 88 kg * 9,8 m/s

Resolving:

w = 862,4 N

How can you tell the difference between a colloid and a suspension?

Answers

Answer: Particles in a suspension are usually more than 1,000 nm, while those in a colloid range from 1-1,000 nm. Unlike those in a suspension, particles in a colloid do not separate when sitting still. ... Particles in a suspension can be seen by the naked eye, but those in a colloid must be viewed using a light microscope.

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Explanation:

4. If a person runs at 4 m/s for 2 minutes, how far will they run?

Answers

Answer:

48 metres

Explanation:

\(Speed = 4m/s\\Time = 2m = 120 secods\\\\Distance = ?\\Distance = Speed \times time \\\\Distance = 4 \times 12\\= 48\: meters\)

The distance covered by the person is 480 meters.

We have a a person who runs at 4 m/s for 2 minutes.

We have to determine how far he had run.

What is the formula to calculate the distance travelled by the moving body?

The distance travelled by the body can be given by -

d = v x t

where -

v - velocity of body

t - time for which the body travelled

According to question, we have -

v = 4 m/s

t = 2 minutes = 120 seconds

Therefore, the distance travelled will be -

d = v x t

d = 4 x 120

d = 480 meters

Hence, the distance covered by the person is 480 meters.

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what is electricity?write any two defects of a simple cell.​

Answers

Answer:

Electricity is the set of physical phenomena associated with the presence and motion of matter that has a property of electric charge. Electricity is related to magnetism, both being part of the phenomenon of electromagnetism, as described by Maxwell's equations.




1. (a) On what interval will there definitely exist a unique solution to the ODE (1²) y + y = sect, y(1/2) = 4? (b) For which points (to, yo) in the plane will there definitely exist a unique solutio

Answers

there exists a unique solution passing through any point in the plane.

An ordinary differential equation (ODE) is an equation that relates a function and its derivatives. In other words, it describes how the rate of change of a function depends on the function itself.

Now, coming to your question, you are given an ODE of the form (1²) y + y = sect, where y is the function we are interested in, and sect is a known function. The initial condition is also given, y(1/2) = 4.

(a) To find the interval on which there exists a unique solution, we need to check if the ODE satisfies the conditions of the Existence and Uniqueness Theorem. This theorem states that if an ODE is of the form y' = f(x,y) and if f(x,y) and its partial derivative with respect to y are both continuous on a rectangular region R of the xy-plane containing the point (x0, y0), then there exists a unique solution to the ODE passing through the point (x0, y0).

In our case, the ODE can be written as y' + y/(1²) = sect/(1²). So, f(x,y) = y/(1²) and its partial derivative with respect to y is 1/(1²), which are both continuous everywhere. Therefore, the conditions of the Existence and Uniqueness Theorem are satisfied, and there exists a unique solution passing through the point (1/2, 4) on any interval containing (1/2, 4).

(b) To find the points in the plane where there definitely exists a unique solution, we need to check if the ODE satisfies the conditions of the Lipschitz Condition. This condition states that if an ODE is of the form y' = f(x,y) and if there exists a constant L such that |f(x,y1) - f(x,y2)| <= L|y1 - y2| for all (x,y1) and (x,y2) in a rectangular region R of the xy-plane, then there exists a unique solution passing through any point in R.

In our case, f(x,y) = y/(1²) and its partial derivative with respect to y is 1/(1²). Taking the absolute value of the difference of f(x,y1) and f(x,y2), we get |f(x,y1) - f(x,y2)| = |y1/(1²) - y2/(1²)| = |(y1 - y2)/(1²)|. Therefore, we can choose L = 1/(1²) = 1, which satisfies the Lipschitz Condition.

Thus, there exists a unique solution passing through any point in the plane.

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A ball has a mass of 0. 25 kg and is moving to the right at 1. 0 m/s. It hits a ball of mass 0. 15 kg that is initially at rest. After the collision, the 0. 15 kg ball moves off to the right with a velocity of 0. 75 m/s. What is the final velocity of the 0. 25 kg ball? 0. 42 m/s to the right 0. 42 m/s to the left 0. 55 m/s to the right 0. 55 m/s to the left.

Answers

The ball that starts in motion has a momentum of

(0.25 kg) (1.0 m/s) = 0.25 kg•m/s

Note that we take "to the right" to be the positive direction.

The ball that starts at rest has zero momentum.

The total momentum of the system before collision is then

0.25 kg•m/s + 0 = 0.25 kg•m/s

After the collision, the first ball continues moving to the right but has slowed down. Its final momentum is

(0.25 kg) (0.75 m/s) = 0.1875 kg•m/s

Let v be the velocity of the other ball after they collide. Then its momentum after collision would be

(0.15 kg) v

Momentum is conserved throughout the collision, so that

0.25 kg•m/s = 0.1875 kg•m/s + (0.15 kg) v

Solve for v :

0.0625 kg•m/s = (0.15 kg) v

v ≈ 0.42 m/s

Since v has positive sign, the second ball moves at 0.42 m/s to the right.

Liquidtight flexible nonmetallic conduit is subject to which of the following limitations?
a. cannot be used in direct sunlight, unless marked for this application
b. can become brittle in extremely cold temperatures
c. both of these

Answers

Extra care should be taken while installing the Liquidtight flexible nonmetallic conduit in such weather conditions. Option(C) is correct.

It is a limit for Liquidtight flexible nonmetallic conduit that it cannot be used in direct sunlight unless marked for this application. Liquidtight flexible nonmetallic conduit can only be used outdoors if it is explicitly marked for outdoor use and is exposed to sunlight without causing damage.

Any exposure to direct sunlight may cause the conduit to degrade, which may result in safety concerns. It can become brittle in extremely cold temperatures: It is a limit of Liquidtight flexible nonmetallic conduit that it can become brittle in extremely cold temperatures. It is a limitation of Liquidtight flexible nonmetallic conduit that, in extremely cold weather, it may become brittle and lose its capacity to flex.

When the temperature drops below a certain level, the material begins to harden, making it vulnerable to cracking or shattering. Therefore, extra care should be taken while installing the Liquidtight flexible nonmetallic conduit in such weather conditions.

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A hiker moves across a mountain meadow that is 3 km wide in 40 minutes. What was her average velocity

Answers

Answer:

1.25m/s

Explanation:

Velocity is defined as the change of displacement with respect to time. Mathematically, velocity = displacement/time

Given displacement = 3km and time = 40minutes

Converting km to meters and minuetes to seconds;

Since 1 km = 1000m

3 km = (3*1000)m

3 km = 3000m

Also 1minute = 60seconds

40 minutes = 60*40 = 2400seconds

velocity = displacement/time

Velocity (in m/s) = 3000/2400

Velocity (in m/s) = 30/24

Velocity (in m/s) = 5/4

Velocity (in m/s) = 1.25m/s

Hence, the average velocity of he hiker is 1.25m/s

Difference between throwing something in a horzional diection and dropping an object.

Answers

Throwing something in a horizontal direction involves giving an initial velocity to an object in a specific direction.

This means that the object will continue to move in that direction until some external force acts upon it. On the other hand, dropping an object simply involves releasing it from a certain height above the ground, without giving it any initial velocity in a specific direction.

This means that the object will simply fall straight down due to gravity until it hits the ground or some other surface.

Therefore, the main difference between throwing something in a horizontal direction and dropping an object is the presence or absence of an initial velocity in a specific direction.

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What are your thoughts on alternative energy sources for
transportation (such as electric and hydrogen)?

Answers

Electric and hydrogen are promising alternative energy sources for transportation, offering benefits such as reduced emissions and lower operating costs, although they also face challenges related to infrastructure and production methods.

Electric and hydrogen are two promising alternative energy sources for transportation that have gained significant attention in recent years. Here are some key points about each:

Electric Vehicles (EVs): EVs use electricity stored in batteries to power an electric motor.

They offer several advantages, including zero tailpipe emissions, reduced dependence on fossil fuels, and lower operating costs compared to traditional internal combustion engine vehicles.

The growth of EV infrastructure and advancements in battery technology have contributed to their increasing popularity.

Hydrogen Fuel Cell Vehicles (FCVs): FCVs use hydrogen gas to generate electricity through a chemical reaction in a fuel cell, which then powers an electric motor. FCVs produce zero tailpipe emissions since the only byproduct is water vapor.

Hydrogen fuel can be refueled quickly, similar to traditional gasoline vehicles, providing a longer driving range compared to battery-powered EVs.

Both electric and hydrogen vehicles have their own set of challenges. For EVs, limited charging infrastructure and range anxiety remain concerns, although they have been improving over time.

Hydrogen FCVs face challenges related to hydrogen production, storage, and distribution infrastructure.

Additionally, the overall environmental impact of these alternative energy sources depends on the methods used for electricity or hydrogen production.

The adoption of alternative energy sources for transportation is a complex and evolving field.

It often involves a combination of technological advancements, policy support, and infrastructure development to enable widespread adoption and address existing challenges.

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what is happening when two waves with identical crests and troughs meet?

Answers

Answer:

When two waves meet in such a way that their crests line up together, then it's called constructive interference. The resulting wave has a higher amplitude. In destructive interference, the crest of one wave meets the trough of another, and the result is a lower total amplitude.

An object moves along a straight line with an initial velocity of 8 m/s with constant acceleration of 0.4m/s^2 for 40 s.

a. what is the velocity at the end of 40 s?

b. What is the distance traveled in this time?

Answers

Answer:

24 m/s640 m

Explanation:

a) Velocity increased at the rate of 0.40 m/s^2 for 40 s, so increased by ...

  (0.40 m/s^2)(40 s) = 16 m/s

The final velocity is ...

  8 m/s + 16 m/s = 24 m/s

__

b) The average velocity over the 40 s period is (8 m/s +24 m/s)/2 = 16 m/s, so the distance traveled is ...

  (16 m/s)(40 s) = 640 m

The surface of the sun has a temperature of about 5,800 Kelvin. What is the average kinetic energy of particles on the surface of the sun?

Answers

Answer:

273.15

Explanation:

So that's three over two times 1.38 times ten to the minus twenty-three joules per Kelvin, times 5500 degrees Celsius, the surface of the sun converted into Kelvin by adding 273.15. This works out to 1.20 times ten to the minus nineteen joules. So that's the average kinetic energy of hydrogen atoms.

why does a lake freeze from the top down instead of from the bottom up?

Answers

A lake freezes from the top down because ice is less dense than liquid water.

Water is an exceptional substance because it expands when it freezes. As a result, the density of ice is lower than that of liquid water. As the temperature drops, the surface water begins to cool down and eventually freezes.

When the water freezes, it expands and becomes less dense. Therefore, the ice floats on top of the water, and the water below the ice stays liquid.

This process continues until the whole lake is frozen. If water were to freeze from the bottom up, the ice would sink to the bottom, and the process would continue until the entire body of water became ice, which would have catastrophic consequences for aquatic life.

However, because of the unique properties of water, lakes and other bodies of water freeze from the top down, allowing life in the water to survive beneath the ice.

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differences between fundamental unit and derived unit (any two)​

Answers

Answer:

Fundamental units are the units of the fundamental physical quantities in SI system. They are not formed from other units. There are a total of seven fundamental units such as meter, kilogram, ampere, and second. Derived units are those units that are used for derived quantities.

Explanation:

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The coldest clouds in the ISM are molecular clouds, so named because their temperatures are low enough and their densities high enough for atoms to join together into molecules. These clouds are capable of collapsing to form new stars, in a stellar nursery like the one in the left image. The Pleiades (right image) is an example of stars that formed recently within such a nursery.
Molecular clouds range in mass from a few times the mass of our Sun (solar masses) to 10 million solar masses. Individual stars range from 0.08 to about 150 solar masses.
What does all of this imply about how stars form from molecular clouds?

Answers

Stars form from molecular clouds through a process known as stellar formation.

These clouds, characterized by low temperatures and high densities, provide the ideal conditions for atoms to combine and form molecules. With a mass range spanning from a few solar masses to millions of solar masses, molecular clouds serve as the birthplaces of new stars. The Pleiades cluster serves as a notable example of stars that have recently formed within such a stellar nursery.

The formation of stars from molecular clouds involves several key steps. Firstly, gravitational forces acting on regions of higher density within the cloud cause them to collapse under their own gravity. As the cloud collapses, it begins to fragment into smaller, denser clumps called protostellar cores. These cores continue to collapse, and their central regions become increasingly dense and hot. At this stage, they are known as protostars.

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Water at the Antarctica usually exits as ice, making it very difficult to use the water or conduct experiment requiring the water to be in liquid state. A coffee addicted physicist stationed at a research base requires about 0.8 kg of ice for his coffee on the hour. a. How much heat is required to convert 0.8 kg of ice at -35 "C into steam at 100 C7 b. Plot the temperature - energy graph for the processes in (a). 5] [5] c. The surface tension of water was determined in a laboratory by using the drop weight method. 100 drops were released from a burette the inner diameter of whose opening is 1.8 mm. The mass of the droplets was 3.78 g. 1. Determine the surface tension of the water and comparing it with the tabulated value, i. Calculate the relative error of the measurements: [6] [4]

Answers

Answer:

water or conduct experiment requiring the water to be in liquid state. A coffee

addicted physicist stationed at a research base requires about 0.8 kg of ice for

his coffee on the hour.

a. How much heat is required to convert 0.8 kg of ice at -35 °C into steam

at 100°C?

[5]

b. Plot the temperature - energy graph for the processes in (a). [5]

C. The surface tension of water was determined in a laboratory by using

the drop weight method. 100 drops were released from a burette the

inner diameter of whose opening is 1.8 mm. The mass of the droplets

was 3.78 g.

i. Determine the surface tension of the water and, comparing it

with the tabulated value,

161

ii. Calculate the relative error of the measurements.

The chart shows the speeds at which four objects are launched into the air. A 2 column table with 4 rows. The first column is labeled Object with entries W, X, Y, Z. The second column is labeled Speed (meters per second) with entries 6799, 3562, 8105, 9324. Based only on the information in the chart, which objects will most likely go into orbit around Earth? W and Y X and Y Y and Z W and Z

Answers

g = v^2 / r
so v = square root ( r x g )
v = 7668 m/s will be the minimum speed needed to go into orbit.
Based on that, objects with speed higher than that number are likely to go into orbit. (Y & Z)

The objects with a speed higher v = 7668 m/s than that number are likely to go into orbit. (Y & Z)

What is orbital velocity?

The orbital speed of an astronomical body or object (e.g. planet, moon, artificial satellite, spacecraft, or star) is the speed at which it orbits around either the barycenter or if one object is much more massive than the other bodies in the system, its speed relative to the centre of mass of the most massive body.

The term can be used to refer to either the mean orbital speed, i.e. the average speed over an entire orbit, or its instantaneous speed at a particular point in its orbit.

Maximum (instantaneous) orbital speed occurs at periapsis (perigee, perihelion, etc.), while minimum speed for objects in closed orbits occurs at apoapsis (apogee, aphelion, etc.).

In ideal two-body systems, objects in open orbits continue to slow down forever as their distance to the barycenter increases.

g = v^2 / r

so v = square root ( r x g )

v = 7668 m/s will be the minimum speed needed to go into orbit.

Based on that, objects with a speed higher than that number are likely to go into orbit. (Y & Z)

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An object floats in water. The object is broken into 5 pieces and one of those pieces is placed into the water. What will the object do?

Answers

Answer:

if the object can sink it will sink but if the object can float it will float

What exactly occurs at the alveoli? Explain using blood vessels, diffusion, oxygen, and carbon dioxide in your answer (2-3 sentences)

Answers

Answer:

Gas exchange takes place in the millions of alveoli in the lungs and the capillaries that envelop them. Inhaled oxygen moves from the alveoli to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveoli.

Explanation:

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Please help I'm so lost.
Erbium-165 has a half-life of 10.4 hours. If you start with 1,000 grams of erbium-165, how much time will it take to have 125 grams of erbium-165 left in the sample?

A. 41.6 hours
B. 31.2 hours
C. 10.4 hours
D. 20.8 hours

Answers

If you start with 1,000 grams of erbium-165, the time it  will take to have 125 grams of erbium-165 left in the sample is 20.8 hours.

option D is the correct answer.

What is half life?

Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.

If you start with 1,000 grams of erbium-165, the time it  will take to have 125 grams of erbium-165 left in the sample is calculated as follows;

1,000 ---------- 0 time

500 ----------- 10.4 hours

125 ------------- 20.8 hours

Thus, from the calculation done above, we can see that If you start with 1,000 grams of erbium-165, the time it  will take to have 125 grams of erbium-165 left in the sample is 20.8 hours.

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A boulder rolls off a 100 meter cliff with a horizontal velocity of 2 m/s.
Make a sketch of the cliff and the boulder. Be sure to label the height of the cliff, the horizontal velocty of the
boulder, and the trajectory of the boulder

Answers

Explanation:

It is given that,

Height of the cliff is 100 m

Its horizontal velocity is 2 m/s

The attached figure shows the sketch of the cliff and the boulder. It will go in the form of parabola. Its trajectory is parabolic in nature. The horizontal distance is called the range of the parabola.

A boulder rolls off a 100 meter cliff with a horizontal velocity of 2 m/s.Make a sketch of the cliff
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