L11 Flashcards

1
Q

Helmholtz Equation

add actual equation?

A

Helmholtz equation describes the propagation of waves under certain conditions.

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2
Q

Paraxial Approximation

A

Approximation where spherical wave is approximated by a paraboloidal wave.

This describes the Fresnel approximation. The paraxial approximation sai

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3
Q

Fresnel Principle

A
  • Each point on a wavefront generates spherical waves;
  • envelope constitutes new wavefront.
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4
Q

Fourier Transform in Far Field

A

Fourier component separation occurs naturally at sufficiently long distances.

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5
Q

Fraunhofer Diffraction

A
  • Interference pattern of light observed in the far field
  • Many wavelengths away from object.
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6
Q

Dynamic Light Scattering (DLS)

A

Light scattering used as a tool for nanoparticle sizing.

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7
Q

Huygens-Fresnel Principle

A

Every solution of the paraxial wave equation can be written as a Fresnel diffraction integral.

Sounds wrong

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8
Q

Airy Disk

A

Pattern produced by single aperture diffraction; central bright spot surrounded by rings.

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9
Q

Speckle Pattern

A

Random interference pattern from dynamic light scattering.

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10
Q

Fresnel Lens

A

Lens with reduced material; divided into concentric annular sections.

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11
Q

Diffraction Grating

A

Separates light into various wavelengths by diffraction.

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12
Q

ABCD Law

add context or delete

A

Describes ray transfer matrices in Gaussian beam optics.

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13
Q

Stokes-Einstein Relation

A

Relates diffusion coefficient (D) with temperature and viscosity to find particle radius.

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14
Q

Fraunhofer Approximation

A

Used when distance from aperture to observation point is very large (far-field).

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15
Q

Constructive Interference

A

Occurs when waves combine to form a wave with larger amplitude.

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16
Q

Destructive Interference

A

Occurs when waves combine to form a wave with smaller (or zero) amplitude.

17
Q

Fraunhofer vs Fresnel Diffraction

A

Fraunhofer is far-field diffraction, Fresnel is near-field diffraction.