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ISSN: 1023-5086


ISSN: 1023-5086

Scientific and technical

Opticheskii Zhurnal

A full-text English translation of the journal is published by Optica Publishing Group under the title “Journal of Optical Technology”

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DOI: 10.17586/1023-5086-2023-90-02-46-58

УДК: 681.786.2

Analytical model of a laser rangefinder for measuring distances to objects with poorly predicted motion dynamics

For Russian citation (Opticheskii Zhurnal):
Меснянкин Е.П., Павлов Н.И., Потапов С.Л., Потапова Н.И. Аналитическая модель лазерного дальномера для измерения расстояний до объектов с плохо прогнозируемой динамикой движения // Оптический журнал. 2023. Т. 90. № 2. С. 46–58. 10.17586/1023-5086-2023-90-02-46-58   Mesnjankin N.I., Pavlov E.P., Potapov S.L., Potapova N.I. Analytical model of a laser rangefinder for measuring distances to objects with poorly predicted motion dynamics [in Russian] // Opticheskii Zhurnal. 2023. V. 90. № 2. P. 46–58. 10.17586/1023-5086-2023-90-02-46-58
For citation (Journal of Optical Technology):

E. P. Mesnjankin, N. I. Pavlov, S. L. Potapov, and N. I. Potapova, "Analytical model of a laser rangefinder for measuring distances to objects with poorly predictable motion dynamics," Journal of Optical Technology. 90(2), 81-87 (2023).


Subject of study. A pulsed laser rangefinder for measuring distances to distant small-sized objects, the movement of which is characterized by poorly predicted space-time evolutions. Purpose of work. Development of a computational and analytical model of a pulsed laser rangefinder which enables the probabilistic nature of laser pulses hitting the location object to be taken into account. Main result. An analytical model of a rangefinder that satisfies the criterion of the required probability of at least one laser pulse hitting the location object during the time allotted for a single range measurement. Based on the expressions obtained, calculations of the half-width of the directivity pattern and the energy of the probing laser radiation are performed depending on the root-mean-square error of pointing the directivity pattern axis and the number of laser pulses necessary for radiation to hit the location object with at least one pulse with a given probability. It is shown that with the distribution of the energy density in the beam described by the Airy distribution in the far zone, there is an optimal value of the emitter aperture diameter at which the emitter energy is minimal. Practical relevance. The results of the study develop and complement the existing models and methods for calculating the characteristics of a pulsed laser rangefinder.


pulsed laser rangefinder, moving small-sized location object, range of action (measuring), guidance error, probability of probing radiation hitting the object, pulse energy, pulse repetition frequency, width of a probing radiation directivity pattern

OCIS codes: 040.0040, 120.0120, 140.0140, 280.0280, 280.3400


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