Method of the initial optical design and its realization

Kryszczynski, Tadeusz; Lesniewski, Marcin

doi:10.1117/12.628881

Cited by 2 publications

(3 citation statements)

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“…These relations bind selected coordinates of characteristic rays and also design parameters with each other. Said relations were described by the authors in previous works [1][2][3] and now are supplemented with new ones resulting from matrix optics and particular cases. Determination of arbitrary unknown parameter requires the analysis of environment including the input data and previously defined parameters.…”

Section: Operation Of Softwarementioning

confidence: 97%

“…[1][2][3]. Earlier authors preferred the step by step method of determination of searched thin-component model parameters [3]. In this paper the method was enriched with conclusions and formulas resulting from the matrix approach, what advantageously influenced application capabilities.…”

Section: Introductionmentioning

confidence: 97%

“…The only exception is the work of authors continued for many years. [1][2][3]. Earlier authors preferred the step by step method of determination of searched thin-component model parameters [3].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

New approach to the method of the initial optical design based on the matrix optics

Kryszczynski

Lesniewski²,

Mikucki

2008

16th Polish-Slovak-Czech Optical Conference on Wave and Quantum Aspects of Contemporary Optics

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In this work the paraxial optical imaging is generally described by means of three square matrices: one unitary system matrix and two operation matrices with determinants equal the Lagrange-Helmholtz invariant. Elements of system matrix are functions of design parameters while elements of the operation matrix depend on input and output coordinates of characteristic rays. Each matrix has only three independent elements. Internal system parameters are determined from equations created of system matrix elements, which values are dependent on the operation matrix. Matrix approach enables the solution of only three non-linear equations with respect to system parameters. Matrix approach has also another advantage. It enables the determination of number of degrees of freedom. We have a superiority of parameters over the number of equations when the number of components is bigger than 2. The more complex is model the higher degree of freedom it has. There are special ways of reducing the number of degree of freedom: by selection of spaces between component, introduction of additional requirements and criteria of distribution of optical powers. Significant help is in defining all the spaces between components, what means full control of the components position and their dimensions. In such a case the only thing left is the determination of optical powers, while the number of degree of freedom is equal k-1 (k is the number of components). In this work the computer program realizing described algorithms has been developed. This program was tested with specially selected examples. Results of calculation for two interesting applications are also given.

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Section: Operation Of Softwarementioning

confidence: 97%

Section: Introductionmentioning

confidence: 97%