EN ISO 11146-2:2005

Lasers and laser-related equipment - Test methods for laser beam widths, divergence angles and beam propagation ratios - Part 2: General astigmatic beams (ISO 11146-2:2005)

ISO 11146-2:2005 specifies methods for measuring beam widths (diameter), divergence angles and beam propagation ratios of laser beams. ISO 11146-2:2005 is applicable to general astigmatic beams or unknown types of beams. For stigmatic and simple astigmatic beams, ISO 11146-1 is applicable.
Within ISO 11146-2:2005, the description of laser beams is accomplished by means of the second order moments of the Wigner distribution rather than physical quantities such as beam widths and divergence angles. However these physical quantities are closely related to the second order moments of the Wigner distribution. In ISO/TR 11146-3, formulae are given to calculate all relevant physical quantities from the measured second order moments.

Laser und Laseranlagen - Prüfverfahren für Laserstrahlabmessungen, Divergenzwinkel und Beugungsmaßzahlen - Teil 2: Allgemein astigmatische Strahlen (ISO 11146-2:2005)

Dieser Teil der ISO 11146 legt Verfahren zum Messen der Strahlabmessungen (Strahldurchmesser), Divergenzwinkel und Beugungsmaßzahlen von Laserstrahlen fest. Dieser Teil der ISO 11146 ist für allgemein astigmatische Strahlen oder Strahlen unbekannter Art anzuwenden. Bei stigmatischen und einfach astigmatischen Strahlen kann ISO 11146-1 angewendet werden.
In diesem Teil der ISO 11146 wird die Beschreibung von Laserstrahlen durch die Momente zweiter Ordnung der Wigner-Verteilung gegenüber der Beschreibung durch physikalische Größen wie Strahlabmessungen und Divergenzwinkel bevorzugt. Diese physikalischen Größen stehen jedoch in engem Zusammenhang mit den Momenten zweiter Ordnung der Wigner-Verteilung. In ISO/TR 11146-3 sind Gleichungen zur Berechnung aller relevanten physikalischen Größen aus den Momenten zweiter Ordnung angegeben

Lasers et équipements associés aux lasers - Méthodes d'essai des largeurs du faisceau, angles de divergence et facteurs de limite de diffraction - Partie 2: Faisceaux astigmatiques généraux (ISO 11146-2:2005)

L'ISO 11146-2:2005 spécifie les méthodes pour le mesurage des largeurs (diamètres) du faisceau, angles de divergence et facteurs de limite de diffraction. L'ISO 11146-2:2005 s'applique aux faisceaux astigmatiques généraux ou si le type de faisceau est inconnu. Pour les faisceaux stigmatiques et astigmatiques simples, l'ISO 11146-1 s'applique.
Au sein de l'ISO 11146-2:2005, la description des faisceaux lasers est réalisée au moyen des moments de second ordre de la distribution de Wigner, plutôt que par des grandeurs physiques telles que les largeurs de faisceau et les angles de divergence. Toutefois, ces grandeurs physiques sont étroitement liées aux moments de second ordre de la distribution de Wigner. Dans l'ISO/TR 11146-3 des formules sont données pour calculer toutes les grandeurs physiques concernées à partir des moments de second ordre mesurés.

Laserji in laserska oprema – Preskusne metode za širine laserskega žarka, kota divergence in faktorja širjenja žarkov - 2. del: Osnovni astigmatični žarki (ISO 11146-2:2005)

General Information

• Status: Withdrawn
• Publication Date: 14-Feb-2005
• Withdrawal Date: 20-Jul-2021
• ICS: 31.260 - Optoelectronics. Laser equipment
• Technical Committee: CEN/TC 123 - Lasers and photonics
• Drafting Committee: CEN/TC 123 - Lasers and photonics
• Current Stage: 9960 - Withdrawal effective - Withdrawal
• Completion Date: 21-Jul-2021
• Ref Project: SIST EN ISO 11146-2:2005 - Lasers and laser-related equipment - Test methods for laser beam widths, divergence angles and beam propagation ratios - Part 2: General astigmatic beams (ISO 11146-2:2005)

Relations

• Replaced By: EN ISO 11146-2:2021 - Lasers and laser-related equipment - Test methods for laser beam widths, divergence angles and beam propagation ratios - Part 2: General astigmatic beams (ISO 11146-2:2021)
• Effective Date: 30-Jan-2019

Standards Content (Sample)

SLOVENSKI STANDARD
01-junij-2005
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GLYHUJHQFHLQIDNWRUMDãLUMHQMDåDUNRYGHO2VQRYQLDVWLJPDWLþQLåDUNL,62

Lasers and laser-related equipment - Test methods for laser beam widths, divergence
angles and beam propagation ratios - Part 2: General astigmatic beams (ISO 11146-
2:2005)
Laser und Laseranlagen - Prüfverfahren für Laserstrahlabmessungen, Divergenzwinkel
und Beugungsmaßzahlen - Teil 2: Allgemein astigmatische Strahlen (ISO 11146-2:2005)
Lasers et équipements associés aux lasers - Méthodes d'essai des largeurs du faisceau,
angles de divergence et facteurs de limite de diffraction - Partie 2: Faisceaux
astigmatiques généraux (ISO 11146-2:2005)
Ta slovenski standard je istoveten z: EN ISO 11146-2:2005
ICS:
31.260 Optoelektronika, laserska Optoelectronics. Laser
oprema equipment
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

EUROPEAN STANDARD
EN ISO 11146-2
NORME EUROPÉENNE
EUROPÄISCHE NORM
February 2005
ICS 31.260
English version
Lasers and laser-related equipment - Test methods for laser
beam widths, divergence angles and beam propagation ratios -
Part 2: General astigmatic beams (ISO 11146-2:2005)
Lasers et équipements associés aux lasers - Méthodes Laser und Laseranlagen - Prüfverfahren für
d'essai des largeurs du faisceau, angles de divergence et Laserstrahlabmessungen, Divergenzwinkel und
facteurs de limite de diffraction - Partie 2: Faisceaux Beugungsmaßzahlen - Teil 2: Allgemein astigmatische
astigmatiques généraux (ISO 11146-2:2005) Strahlen (ISO 11146-2:2005)
This European Standard was approved by CEN on 3 February 2005.
CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this European
Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references concerning such national
standards may be obtained on application to the Central Secretariat or to any CEN member.
This European Standard exists in three official versions (English, French, German). A version in any other language made by translation
under the responsibility of a CEN member into its own language and notified to the Central Secretariat has the same status as the official
versions.
CEN members are the national standards bodies of Austria, Belgium, Cyprus, Czech Republic, Denmark, Estonia, Finland, France,
Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Slovakia,
Slovenia, Spain, Sweden, Switzerland and United Kingdom.
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EUROPÄISCHES KOMITEE FÜR NORMUNG
Management Centre: rue de Stassart, 36  B-1050 Brussels
© 2005 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 11146-2:2005: E
worldwide for CEN national Members.

Foreword
This document (EN ISO 11146-2:2005) has been prepared by Technical Committee ISO/TC 172
"Optics and optical instruments" in collaboration with Technical Committee CEN/TC 123 "Lasers
and laser-related equipment", the secretariat of which is held by DIN.

This European Standard shall be given the status of a national standard, either by publication of
an identical text or by endorsement, at the latest by August 2005, and conflicting national
standards shall be withdrawn at the latest by August 2005.

According to the CEN/CENELEC Internal Regulations, the national standards organizations of
the following countries are bound to implement this European Standard: Austria, Belgium,
Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary,
Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland,
Portugal, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.

Endorsement notice
The text of ISO 11146-2:2005 has been approved by CEN as EN ISO 11146-2:2005 without any
modifications.
INTERNATIONAL ISO
STANDARD 11146-2
First edition
2005-02-15
Lasers and laser-related equipment —
Test methods for laser beam widths,
divergence angles and beam propagation
ratios —
Part 2:
General astigmatic beams
Lasers et équipements associés aux lasers — Méthodes d'essai des
largeurs du faisceau, angles de divergence et des facteurs de limite de
diffraction —
Partie 2: Faisceaux astigmatiques généraux

Reference number
ISO 11146-2:2005(E)
©
ISO 2005
ISO 11146-2:2005(E)
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ii © ISO 2005 – All rights reserved

ISO 11146-2:2005(E)
Contents Page
Foreword .iv
Introduction.v
1 Scope.1
2 Normative references.1
3 Terms and definitions .1
4 Coordinate system .5
5 Test principles .5
5.1 General .5
5.2 Spatial second order moments of the Wigner distribution.5
5.3 Second order moments of the Wigner distribution .5
5.4 Derived quantities .5
6 Measurement arrangement and test equipment .6
6.1 General .6
6.2 Preparation.6
6.3 Control of environment.6
6.4 Detector system.6
6.5 Beam-forming optics and optical attenuators.7
7 Measurement of the second order moments .7
7.1 General .7
7.2 Measurement of the second order moments of power density distributions.7
7.3 Measurement of all second order moments of the Wigner distribution.9
8 Determination of effective beam propagation ratio.11
9 Determination of intrinsic astigmatism.11
10 Determination of the twist parameter.12
11 Test report.12
Bibliography.15

ISO 11146-2:2005(E)
Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards bodies
(ISO member bodies). The work of preparing International Standards is normally carried out through ISO
technical committees. Each member body interested in a subject for which a technical committee has been
established has the right to be represented on that committee. International organizations, governmental and
non-governmental, in liaison with ISO, also take part in the work. ISO collaborates closely with the
International Electrotechnical Commission (IEC) on all matters of electrotechnical standardization.
International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2.
The main task of technical committees is to prepare International Standards. Draft International Standards
adopted by the technical committees are circulated to the member bodies for voting. Publication as an
International Standard requires approval by at least 75 % of the member bodies casting a vote.
ISO 11146-2 was prepared by Technical Committee ISO/TC 172, Optics and photonics, Subcommittee SC 9,
Electro-optical systems.
ISO 11146 consists of the following parts, under the general title Lasers and laser-related equipment — Test
methods for laser beam widths, divergence angles and beam propagation ratios:
 Part 1: Stigmatic and simple astigmatic beams
 Part 2: General astigmatic beams
 Part 3: Intrinsic and geometrical laser beam classification, propagation, and details of test methods
(Technical Report)
iv © ISO 2005 – All rights reserved

ISO 11146-2:2005(E)
Introduction
The propagation properties of laser beams can be characterized by ten independent parameters when
applying the method of second order moments (see ISO/TR 11146-3). Most laser beams need few
parameters for a complete description due to their higher symmetry. Lasers emit beams which are stigmatic or
simple astigmatic due to their resonator design.
Part 1 of ISO 11146 describes the measurement methods for stigmatic and simple astigmatic beams while
this part of ISO 11146 deals with the measurement procedures for general astigmatic beams. This part of
ISO 11146 is applicable to beams of unknown type. Beam characterization, based on the method of second
order moments as described in Part 1 and this part of ISO 11146, is only valid within the paraxial
approximation.
The theoretical description of beam characterization and propagation as well as the classification of laser
beams is given in ISO/TR 11146-3, which is an informative Technical Report. The procedures for background
subtraction and offset correction are also given in ISO/TR 11146-3.
In ISO 11146, the second order moments of the power (energy) density distribution function are used for the
determination of beam widths. If problems are experienced in the direct measurements of these quantities,
other indirect methods of measurement of second order moments may be used as long as comparable results
are achievable.
In ISO/TR 11146-3, three alternative methods for beam width measurement and their correlation with the
method used in this part of ISO 11146 are described. These methods are:
 variable aperture method;
 moving knife-edge method;
 moving slit method.
The problem of the dependence of the measuring result on the truncation limits of the integration area was
investigated and evaluated by an international interlaboratory experiment carried out in 1997. The results of
this interlaboratory testing were taken into consideration in this document.
The International Organization for Standardization (ISO) draws attention to the fact that it is claimed that
compliance with this document may involve the use of a patent concerning the determination of beam
characteristics by measuring along the beam caustic of the transformed beam produced by a lens as
described in 5.3 and 5.4.
ISO takes no position concerning the evidence, validity and scope of this patent right.
The holder of this patent right (U.S. No. 5,267,012) has assured ISO that he is willing to negotiate licences
under reasonable and non-discriminatory terms and conditions with applicants throughout the world.
In this r
...