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Considering Maxwell equations and contitutive relations.

See pag.18 of principles of nano-optics, Lucas Novotny.

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Q: How do you derive the Helmholtz equation from Maxwell's equations?
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What is clausius mossotti equation?

derive clausious mossotti equation


What are the three types of systems of linear equations and their characteristics?

Independence:The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.


How to derive the centre of curvature?

This involves the rate of change of the unit tangent vector. Deriving the curvature starts with the equation of a circle. Then three equations that force the collocation circle to go through the three points and on the curve must be written down. Then solve for a, b, and r.


How do you derive the main PDE in the Heston stochastic volatility model?

It is not possible to reproduce the equations on this website, however you can find a detailed derivation at the related link.


Derive the formula for conversion of Kelvin to Celsius and Fahrenheit?

Use this equation to convert Kelvin to degrees Celsius/Centigrade: [°C] = [K] - 273.15You can use this equation to convert Kelvin to degrees Fahrenheit: [°F] = (K × 1.8) - 459.67

Related questions

How to derive the equations of motion by method?

1 equation: as u know that a=(v-u)/t so, v-u=a*t therefore, v=u+at which is the first equation of motion


What is the solution to this system of equation x minus y 3x plus 2y equals 8?

There is only one equation - possibly due to the limitations of the browser. There are not enough equations to derive a solution.


How do you derive the equations for half wave rectifier?

rmsvoltage


What is the meaning of Biot-Savar's equation?

Biot-Savart's law describes the magnetic field generated by a steady current flowing in a wire. It states that the magnetic field at a point in space is proportional to the current flowing through the wire and inversely proportional to the distance from the wire. This equation is fundamental in calculating magnetic fields around current-carrying conductors.


What is clausius mossotti equation?

derive clausious mossotti equation


Derive emf equation of a DC machine?

equation of ac machine


Derive the equation of mobility carrier?

help plzz


In what branch of math would one derive an equation?

Philosophy of Mathematics is a place in math where on would derive an equation. It is the branch of philosophy that studies the: assumptions, foundations, and implications of mathematics.


What is consistent and dependent?

The terms consistent and dependent are two ways to describe a system of linear equations. A system of linear equations is dependent if you can algebraically derive one of the equations from one or more of the other equations. A system of linear equations is consistent if they have a common solution.An example of a dependent system of linear equations:2x + 4y = 84x + 8y = 16Solve the first equation for x:x = 4 - 2yPlug that value of x into the second equation:16 - 8y + 8y = 16, which gives 16 = 16.No new information was gained from the second equation, because we already knew 16 = 16, so these two equations are dependent.An example of an inconsistent system of linear equations:Because consistency is boring.2x + 4y = 84x + 8y = 15Solve the first equation for x:x = 4 - 2yPlug that value of x into the second equation:16 - 8y + 8y = 15, which gives 16 = 15.This is a contradiction, because 16 doesn't equal 15. Therefore this system has no solution and is inconsistent.


What is independent system?

Independence:The equations of a linear system are independentif none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.


What are the three types of systems of linear equations and their characteristics?

Independence:The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.


Derive Lagrange's equation of motion using D'alembert's principle?

D'Alembert's principle states that the virtual work of the inertial forces is equal to the virtual work of the applied forces for a system in equilibrium. By applying this principle to a system described by generalized coordinates, we can derive Lagrange's equation of motion, which relates the generalized forces, generalized coordinates, and Lagrangian of the system. The resulting equations can be used to describe the dynamics of the system without the need for explicit forces or constraints.