Using Newton’s Method to Model the Spatial Light Distribution of an LED with Attached Secondary Optics

KALJUN, David ;PETRIŠIČ, Jože ;ŽEROVNIK, Janez .
Using Newton’s Method to Model the Spatial Light Distribution of an LED with Attached Secondary Optics. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 62, n.5, p. 307-317, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/using-newtons-method-to-model-the-spatial-light-distribution-of-an-led-with-attached-secondary-optics/>. Date accessed: 06 feb. 2026. 
doi:http://dx.doi.org/10.5545/sv-jme.2015.3234.

Kaljun, D., Petrišič, J., & Žerovnik, J.
(2016).
Using Newton’s Method to Model the Spatial Light Distribution of an LED with Attached Secondary Optics.
Strojniški vestnik - Journal of Mechanical Engineering, 62(5), 307-317.
doi:http://dx.doi.org/10.5545/sv-jme.2015.3234

@article{sv-jmesv-jme.2015.3234,
	author = {David  Kaljun and Jože  Petrišič and Janez  Žerovnik},
	title = {Using Newton’s Method to Model the Spatial Light Distribution of an LED with Attached Secondary Optics},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {62},
	number = {5},
	year = {2016},
	keywords = {least squares function fitting; local search; light distribution; LED},
	abstract = {In the design of optical systems based on light emitting diode (LED) technology, a crucial task is to handle the unstructured data describing the properties of optical elements in standard formats. This leads to the problem of data fitting within an appropriate model. Newton’s method is used as an upgrade of the previously developed most promising discrete optimization heuristics showing an improvement in both performance and the quality of solutions. This experiment also indicates that a combination of an algorithm that finds promising initial solutions as a preprocessor and Newton’s method may be a winning idea, at least on some datasets of instances.},
	issn = {0039-2480},	pages = {307-317},	doi = {10.5545/sv-jme.2015.3234},
	url = {https://www.sv-jme.eu/article/using-newtons-method-to-model-the-spatial-light-distribution-of-an-led-with-attached-secondary-optics/}
}

Kaljun, D.,Petrišič, J.,Žerovnik, J.
2016 June 62. Using Newton’s Method to Model the Spatial Light Distribution of an LED with Attached Secondary Optics. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 62:5

%A Kaljun, David 
%A Petrišič, Jože 
%A Žerovnik, Janez 
%D 2016
%T Using Newton’s Method to Model the Spatial Light Distribution of an LED with Attached Secondary Optics
%B 2016
%9 least squares function fitting; local search; light distribution; LED
%! Using Newton’s Method to Model the Spatial Light Distribution of an LED with Attached Secondary Optics
%K least squares function fitting; local search; light distribution; LED
%X In the design of optical systems based on light emitting diode (LED) technology, a crucial task is to handle the unstructured data describing the properties of optical elements in standard formats. This leads to the problem of data fitting within an appropriate model. Newton’s method is used as an upgrade of the previously developed most promising discrete optimization heuristics showing an improvement in both performance and the quality of solutions. This experiment also indicates that a combination of an algorithm that finds promising initial solutions as a preprocessor and Newton’s method may be a winning idea, at least on some datasets of instances.
%U https://www.sv-jme.eu/article/using-newtons-method-to-model-the-spatial-light-distribution-of-an-led-with-attached-secondary-optics/
%0 Journal Article
%R 10.5545/sv-jme.2015.3234
%& 307
%P 11
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 62
%N 5
%@ 0039-2480
%8 2018-06-27
%7 2018-06-27

Kaljun, David, Jože  Petrišič, & Janez  Žerovnik.
"Using Newton’s Method to Model the Spatial Light Distribution of an LED with Attached Secondary Optics." Strojniški vestnik - Journal of Mechanical Engineering [Online], 62.5 (2016): 307-317. Web.  06 Feb. 2026

TY  - JOUR
AU  - Kaljun, David 
AU  - Petrišič, Jože 
AU  - Žerovnik, Janez 
PY  - 2016
TI  - Using Newton’s Method to Model the Spatial Light Distribution of an LED with Attached Secondary Optics
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2015.3234
KW  - least squares function fitting; local search; light distribution; LED
N2  - In the design of optical systems based on light emitting diode (LED) technology, a crucial task is to handle the unstructured data describing the properties of optical elements in standard formats. This leads to the problem of data fitting within an appropriate model. Newton’s method is used as an upgrade of the previously developed most promising discrete optimization heuristics showing an improvement in both performance and the quality of solutions. This experiment also indicates that a combination of an algorithm that finds promising initial solutions as a preprocessor and Newton’s method may be a winning idea, at least on some datasets of instances.
UR  - https://www.sv-jme.eu/article/using-newtons-method-to-model-the-spatial-light-distribution-of-an-led-with-attached-secondary-optics/

@article{{sv-jme}{sv-jme.2015.3234},
	author = {Kaljun, D., Petrišič, J., Žerovnik, J.},
	title = {Using Newton’s Method to Model the Spatial Light Distribution of an LED with Attached Secondary Optics},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {62},
	number = {5},
	year = {2016},
	doi = {10.5545/sv-jme.2015.3234},
	url = {https://www.sv-jme.eu/article/using-newtons-method-to-model-the-spatial-light-distribution-of-an-led-with-attached-secondary-optics/}
}

TY  - JOUR
AU  - Kaljun, David 
AU  - Petrišič, Jože 
AU  - Žerovnik, Janez 
PY  - 2018/06/27
TI  - Using Newton’s Method to Model the Spatial Light Distribution of an LED with Attached Secondary Optics
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 62, No 5 (2016): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2015.3234
KW  - least squares function fitting, local search, light distribution, LED
N2  - In the design of optical systems based on light emitting diode (LED) technology, a crucial task is to handle the unstructured data describing the properties of optical elements in standard formats. This leads to the problem of data fitting within an appropriate model. Newton’s method is used as an upgrade of the previously developed most promising discrete optimization heuristics showing an improvement in both performance and the quality of solutions. This experiment also indicates that a combination of an algorithm that finds promising initial solutions as a preprocessor and Newton’s method may be a winning idea, at least on some datasets of instances.
UR  - https://www.sv-jme.eu/article/using-newtons-method-to-model-the-spatial-light-distribution-of-an-led-with-attached-secondary-optics/

Kaljun, David, Petrišič, Jože, AND Žerovnik, Janez.
"Using Newton’s Method to Model the Spatial Light Distribution of an LED with Attached Secondary Optics" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 62 Number 5 (27 June 2018)