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Related Concept Videos

Second Order systems I01:20

Second Order systems I

A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
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Second Order systems II01:18

Second Order systems II

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If  ζ...
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Inverse cassegrainian systems.

S Rosin1

  • 1Kollsman Instrument Corporation,Syosset, New York 11791, USA.

Applied Optics
|January 14, 2010
PubMed
Summary
This summary is machine-generated.

A new algebraic theory for inverse cassegrainian systems with two spherical mirrors was developed. This theory encompasses known Schwarzschild systems and reveals new configurations, including nonaplanatic designs with significant potential.

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Area of Science:

  • Optics and Optical Engineering
  • Theoretical Physics

Background:

  • Existing optical system theories often focus on specific configurations.
  • A unified theoretical framework for diverse mirror systems is lacking.

Purpose of the Study:

  • To develop a general algebraic theory for systems with two separated spherical mirrors.
  • To explore the properties and potential of inverse cassegrainian systems.
  • To extend the theory to include nonspherical surfaces.

Main Methods:

  • Development of a general algebraic theory based on first and third order equations.
  • Analysis of systems composed of two separated spherical mirrors.
  • Classification and discussion of various system types, including aplanatic and nonaplanatic configurations.

Main Results:

  • A novel algebraic theory for inverse cassegrainian systems has been established.
  • The theory successfully incorporates the aplanatic Schwarzschild mirror system and identifies new examples.
  • Several potentially valuable nonaplanatic systems, such as telecentric and parfocal systems, are discussed.

Conclusions:

  • The developed theory provides a comprehensive framework for understanding inverse cassegrainian systems.
  • The research expands the known family of Schwarzschild systems and introduces novel nonaplanatic designs.
  • Future work can extend this theory to more complex optical surfaces.