Class WaveOptics

java.lang.Object

org.episteme.natural.physics.classical.waves.optics.WaveOptics

public class WaveOptics
extends Object

Utilities for wave optics (diffraction, interference, polarization).

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Method Summary

Modifier and Type	Method	Description
static Real	airyDiskIntensity(Real theta, Real diameter, Real wavelength, Real i0)
static Real	diffractionGratingIntensity(Real theta, Real slitWidth, Real slitSeparation, Real wavelength, int numSlits, Real i0)	Calculates intensity for diffraction grating.
static Real	doubleSlitIntensity(Real theta, Real slitSeparation, Real wavelength, Real i0)	Calculates intensity pattern for double-slit interference (Young's experiment).
static Real	gratingResolvingPower(int diffractionOrder, int numSlits)	Calculates the resolving power of a grating.
static Real	polarizationMalusLaw(Real i0, Real angle)	Malus's Law for polarization.
static Real	singleSlitIntensity(Real theta, Real slitWidth, Real wavelength, Real i0)	Calculates intensity pattern for single-slit diffraction.

Methods inherited from class Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Details

singleSlitIntensity

public static Real singleSlitIntensity(Real theta,
 Real slitWidth,
 Real wavelength,
 Real i0)

Calculates intensity pattern for single-slit diffraction. I = I₀ [sin(β)/β]² where β = (π a sin θ) / λ

Parameters:

theta - Diffraction angle (radians)

slitWidth - Width of the slit (a)

wavelength - Wavelength of light (λ)

i0 - Central intensity (Iâ‚€)

Returns:

Intensity at angle θ

doubleSlitIntensity

public static Real doubleSlitIntensity(Real theta,
 Real slitSeparation,
 Real wavelength,
 Real i0)

Calculates intensity pattern for double-slit interference (Young's experiment). I = I₀ cos²(δ/2) [diffraction factor neglected for pure interference] δ = (2π d sin θ) / λ

Parameters:

theta - Viewing angle (radians)

slitSeparation - Distance between slits (d)

wavelength - Wavelength of light (λ)

i0 - Maximum intensity (Iâ‚€)

Returns:

Intensity at angle θ

polarizationMalusLaw

public static Real polarizationMalusLaw(Real i0,
 Real angle)

Malus's Law for polarization. I = I₀ cos²(θ)

Parameters:

i0 - Initial intensity

angle - Angle between polarizer axis and plane of polarization

Returns:

Transmitted intensity

diffractionGratingIntensity

public static Real diffractionGratingIntensity(Real theta,
 Real slitWidth,
 Real slitSeparation,
 Real wavelength,
 int numSlits,
 Real i0)

Calculates intensity for diffraction grating. I = I₀ [sin(Nβ/2) / sin(β/2)]² * [sin(α)/α]² where α = πa·sinθ/λ, β = πd·sinθ/λ

Parameters:

theta - Diffraction angle

slitWidth - Width of each slit (a)

slitSeparation - Distance between slits (d)

wavelength - Wavelength of light

numSlits - Number of slits (N)

i0 - Central intensity

Returns:

Intensity at angle theta

airyDiskIntensity

public static Real airyDiskIntensity(Real theta,
 Real diameter,
 Real wavelength,
 Real i0)

gratingResolvingPower

public static Real gratingResolvingPower(int diffractionOrder,
 int numSlits)

Calculates the resolving power of a grating. R = λ/Δλ = mN where m is order and N is number of slits.