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Related Concept Videos

Gain01:15

Gain

Gain and phase shift are properties of linear circuits that describe the effect a circuit has on a sinusoidal input voltage or current. The circuit's behavior that contains reactive elements will depend on the frequency of the input sinusoid. As a result, it is observed that the gain and phase shift will all be frequency functions.
Gain:
Suppose Vin is the input and Vout is the output signal to a circuit.
Transfer function and Bode Plots-II01:23

Transfer function and Bode Plots-II

In the standard form, the transfer function is shown in constant gain, poles/zeros at origin, simple poles/zeros, and quadratic poles/zeros; each contributing uniquely to the system's overall response. The term represents the magnitude of the simple zero:
Mason's Rule01:20

Mason's Rule

Mason's rule is a powerful tool in control systems and signal processing. It simplifies the calculation of transfer functions from signal-flow graphs. This method leverages various elements, including loop gains, forward-path gains, and non-touching loops, to determine the transfer function efficiently.
Loop gain is determined by identifying and tracing a path from a node back to itself. This involves computing the product of branch gains along the loop. Each loop's gain is crucial for further...
Transfer function and Bode Plots-I01:19

Transfer function and Bode Plots-I

A transfer function presented in its standard form integrates elements' constant gain, the zeros, and poles at the origin, simple zeros and poles, and quadratic poles and zeros. The transfer function can be written as H(ω):
Common Leveling Mistakes and Errors01:17

Common Leveling Mistakes and Errors

A survey team is tasked with determining the elevation difference between points Point A and Point B, separated by uneven terrain. They use a leveling instrument and a leveling rod.Common MistakesMisreading the Rod: During a backsight reading at Point A, the instrumentman observes the rod partially obscured by tall grass. Instead of reading 1.135 m, they mistakenly record 1.735 m due to the misalignment of the crosshair with the wrong graduation. This error adds 0.600 m to all subsequent...
Derivatives of Inverse Trigonometric Functions01:30

Derivatives of Inverse Trigonometric Functions

A ship tracking an approaching aircraft relies on geometric measurements to find out the aircraft’s position relative to the observer. By measuring the slant distance to the aircraft and the angle of elevation, the horizontal and vertical components of the distance can be obtained using trigonometric relationships. This geometric approach provides a basis for analyzing how the observed angle changes as the aircraft moves closer to the ship.To examine the mathematical behavior of the angle of...

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Roof angle error effect on modulation transfer function and spread function.

L Levi, A Reichert

    Applied Optics
    |June 5, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Roof angle errors in prisms significantly impact optical system performance. This study quantifies the effects of roof angle deviations on image quality using optical transfer functions and point spread functions.

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    Area of Science:

    • Optical Engineering
    • Image Science

    Background:

    • Roof prisms are essential optical components for image rectification.
    • Image-forming rays often traverse roof sections bidirectionally.
    • Tight roof angle tolerances are critical for maintaining optical resolution.

    Purpose of the Study:

    • To analyze the impact of roof angle errors on optical system performance.
    • To develop physical optics models for roof angle deviations.
    • To quantify image quality degradation caused by roof angle errors.

    Main Methods:

    • Development of physical optics models.
    • Calculation of optical transfer functions (OTF).
    • Analysis of point spread functions (PSF).

    Main Results:

    • Roof angle error significantly affects image quality.
    • Precise quantification of blurring effects is provided.
    • The study establishes a relationship between roof angle tolerance and system performance.

    Conclusions:

    • Roof angle error is a critical factor in optical system design.
    • Accurate modeling of roof angle effects is necessary for high-resolution imaging.
    • The developed models aid in setting stringent tolerances for optical manufacturing.