Non-imaging optics for LED-lighting

J.B. Berg, van den; R.M. Castro; J. Draisma; J.H.M. Evers; M. Hendriks; O. Krehel; I. Kryven; K. Mora; B.T. Szabó; P.W. Zwiernik

Non-imaging optics for LED-lighting

J.B. Berg, van den, R.M. Castro, J. Draisma, J.H.M. Evers, M. Hendriks, O. Krehel, I. Kryven, K. Mora, B.T. Szabó, P.W. Zwiernik

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Abstract

In this report, several methods are investigated to rapidly compute the light intensity function, either in the far field or on a finite-distance screen, of light emanating from a light fixture with a given shape. Different shapes are considered, namely polygonal and (piecewise) smooth. In the first case, analytic methods are sought to circumvent the use of Monte Carlo methods and ray-tracing with large sample size. In the second case, refinements of the Monte Carlo method (notably using a bootstrap procedure) are devised to minimize the number of samples needed for a good approximation of the intensity function.

Original language	English
Title of host publication	Proceedings of the 84th European Study Group Mathematics with Industry (SWI 2012)
Editors	M.A.A. Boon
Pages	70-103
Publication status	Published - 2013
Event	84th European Study Group Mathematics with Industry (SWI 2012) - Eindhoven, Netherlands Duration: 30 Jan 2012 → 3 Feb 2012 http://www.maths-in-industry.org/past/ESGI/84/

Conference

Conference	84th European Study Group Mathematics with Industry (SWI 2012)
Abbreviated title	SWI 2012
Country/Territory	Netherlands
City	Eindhoven
Period	30/01/12 → 3/02/12
Internet address	http://www.maths-in-industry.org/past/ESGI/84/

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@inproceedings{65ded9623f3a4e9fa0e18e257792e652,

title = "Non-imaging optics for LED-lighting",

abstract = "In this report, several methods are investigated to rapidly compute the light intensity function, either in the far field or on a finite-distance screen, of light emanating from a light fixture with a given shape. Different shapes are considered, namely polygonal and (piecewise) smooth. In the first case, analytic methods are sought to circumvent the use of Monte Carlo methods and ray-tracing with large sample size. In the second case, refinements of the Monte Carlo method (notably using a bootstrap procedure) are devised to minimize the number of samples needed for a good approximation of the intensity function.",

author = "\{Berg, van den\}, J.B. and R.M. Castro and J. Draisma and J.H.M. Evers and M. Hendriks and O. Krehel and I. Kryven and K. Mora and B.T. Szab{\'o} and P.W. Zwiernik",

year = "2013",

language = "English",

isbn = "978-90-6464-630-0",

pages = "70--103",

editor = "M.A.A. Boon",

booktitle = "Proceedings of the 84th European Study Group Mathematics with Industry (SWI 2012)",

note = "84th European Study Group Mathematics with Industry (SWI 2012), SWI 2012 ; Conference date: 30-01-2012 Through 03-02-2012",

url = "http://www.maths-in-industry.org/past/ESGI/84/",

}

Berg, van den, JB, Castro, RM , Draisma, J, Evers, JHM, Hendriks, M, Krehel, O, Kryven, I, Mora, K, Szabó, BT & Zwiernik, PW 2013, Non-imaging optics for LED-lighting. in MAA Boon (ed.), Proceedings of the 84th European Study Group Mathematics with Industry (SWI 2012). pp. 70-103, 84th European Study Group Mathematics with Industry (SWI 2012), Eindhoven, Netherlands, 30/01/12.

TY - GEN

T1 - Non-imaging optics for LED-lighting

AU - Berg, van den, J.B.

AU - Castro, R.M.

AU - Draisma, J.

AU - Evers, J.H.M.

AU - Hendriks, M.

AU - Krehel, O.

AU - Kryven, I.

AU - Mora, K.

AU - Szabó, B.T.

AU - Zwiernik, P.W.

PY - 2013

Y1 - 2013

N2 - In this report, several methods are investigated to rapidly compute the light intensity function, either in the far field or on a finite-distance screen, of light emanating from a light fixture with a given shape. Different shapes are considered, namely polygonal and (piecewise) smooth. In the first case, analytic methods are sought to circumvent the use of Monte Carlo methods and ray-tracing with large sample size. In the second case, refinements of the Monte Carlo method (notably using a bootstrap procedure) are devised to minimize the number of samples needed for a good approximation of the intensity function.

AB - In this report, several methods are investigated to rapidly compute the light intensity function, either in the far field or on a finite-distance screen, of light emanating from a light fixture with a given shape. Different shapes are considered, namely polygonal and (piecewise) smooth. In the first case, analytic methods are sought to circumvent the use of Monte Carlo methods and ray-tracing with large sample size. In the second case, refinements of the Monte Carlo method (notably using a bootstrap procedure) are devised to minimize the number of samples needed for a good approximation of the intensity function.

M3 - Conference contribution

SN - 978-90-6464-630-0

SP - 70

EP - 103

BT - Proceedings of the 84th European Study Group Mathematics with Industry (SWI 2012)

A2 - Boon, M.A.A.

T2 - 84th European Study Group Mathematics with Industry (SWI 2012)

Y2 - 30 January 2012 through 3 February 2012

ER -

Non-imaging optics for LED-lighting

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