Generalized sine condition

Elazhary, Tamer T.; Zhou, Ping; Zhao, Chunyu; Burge, James H.

doi:10.1364/ao.54.005037

Cited by 16 publications

(3 citation statements)

References 24 publications

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“…The pupil mapping error involves the calculation based on the sine condition and the measurement of the ray intersections at the first monitor. The sine condition is a mathematical solution for removing linearly field-dependent aberrations [16,17]. It establishes a relationship between the ray angles (θ) in the camera space and their corresponding ideal heights (ℎ 𝑖𝑑𝑒𝑎𝑙 ) in the monitor space given as follows:…”

Section: The New Alignment Method: Deflectometry and The Sine Conditi...mentioning

confidence: 99%

“…First, the Abbe sine condition, f*sin(θ), employed in this analysis, assumes the absence of on-axis aberration within the system. There exists a generalized form of the sine condition that accommodates the presence of on-axis aberrations [17]. However, we adopted the Abbe sine condition to simplify the calculation.…”

Section: Comparison With the Zemax Predictionsmentioning

confidence: 99%

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Comparing novel and conventional methods for optical system alignment using deflectometry

Yoo,

Dubin

2023

Optomechanical Engineering 2023

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This paper compares two different ways of aligning optical systems using deflectometry: a novel method incorporating the sine condition test and deflectometry, and conventional multi-field points measuring deflectometry. The study aims to provide experimental evidence that the novel method is effective and has advantages over the conventional method. The experiment was carried out using a singlet as the unit-under-test with visible deflectometry composed of a camera and a monitor. In the conventional approach, the camera is moved to multiple field points to measure transmitted wavefront aberrations. For the accurate measurement of the aberrations, accurate knowledge of the camera positions is desired for conventional deflectometry. In the novel approach, the camera is fixed at an on-axis field point, while the monitor is moved to at least two positions in the longitudinal direction. Even if the camera is fixed, the new method can derive the linear behavior of aberrations over the field as it measures pupil mapping error and slope mapping error instead of wavefront error directly. Also, it is insensitive to positional errors in the monitor. This is made possible by discovering the complementary aspects of the sine condition test and deflectometry. We emphasize that the new alignment method is not performing two independent tests separately. The test can be done via one test setup requiring a camera and a monitor equivalent to a deflectometry system. The results demonstrate the benefits of the novel alignment method, which eliminates the need for accurate control of the test instrument movement during the alignment process.

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Section: The New Alignment Method: Deflectometry and The Sine Conditi...mentioning

confidence: 99%

Section: Comparison With the Zemax Predictionsmentioning

confidence: 99%

Comparing novel and conventional methods for optical system alignment using deflectometry

Yoo,

Dubin

2023

Optomechanical Engineering 2023

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“…For further development of the generalized sine condition, see [13]. To physically measure W PME , gratings are placed at the EP and XP to define and measure the vectors in Eq.…”

Section: Introductionmentioning

confidence: 99%

Alignment of a three-mirror anastigmat using the sine condition test

2014

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Continuing to develop the sine condition test (SCTest), we show how violations of the generalized sine condition can be used to align a three-mirror anastigmat (TMA). This paper shows how the linear aberrations measured using the sine condition, along with aberrations that have constant field dependence, can be used to align a system. We discuss the design of the test hardware needed to align a TMA and the procedure for alignment. Using simulation, we then investigate the behavior of the alignment SCTest for various levels of mirror misalignment, mirror fabrication errors, and misalignment of the test equipment. All of these tests show that the alignment SCTest can successfully align an optical system.

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