The “Depressed” Beam of the Motor Car Headlight. II

L. W. Taylor

doi:10.1364/JOSA.24.000287

Journal of the Optical Society of America
Vol. 24,
Issue 11,
pp. 287-291
(1934)
•https://doi.org/10.1364/JOSA.24.000287

The “Depressed” Beam of the Motor Car Headlight. II

L. W. Taylor

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L. W. Taylor, "The “Depressed” Beam of the Motor Car Headlight. II," J. Opt. Soc. Am. 24, 287-291 (1934)

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Abstract

This is an extension of the author’s previous theory, originally limited to the vertical axial plane, to cover the entire reflector. The basis is established for the difference in the action of that portion of the reflector behind the focal plane from that in front of the focal plane. Computations on a representative headlamp reflector show the approximate limits of the region of anomalous behavior of the “depressed” beam.

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Equations (31)

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θ	Computed values of	p/f= $ρ / f = 2 \sqrt{2}$	p/f=2	p/f=4/3	p/f=2/3	p/f=0
θ	Computed values of	x/f=1	x/f=0	x/f=−5/9	x/f=−8/9	x/f=−1
0°	ϕ	0	0	0	0	0
	β	55.39	45.00	32.05	14.08	13.32
	ϵ₁	+0.66	0	−1.64	−4.35	−5.71
	ϵ₂	+0.65	0	−1.63	−4.35	−5.71
30°	ϕ	−1.20	−2.15	−3.90	−10.55
	β	55.31	44.98	32.36	14.88
	ϵ	−0.02	−0.78	−2.22	−4.69
60°	ϕ	−2.00	−3.60	−6.55	−15.90
	β	55.06	44.94	33.07	17.35
	ϵ	−1.33	−1.83	−3.43	−4.82
90°	ϕ	−2.35	−4.05	−7.40	−15.88
	β	54.76	44.92	33.90	19.12
	ϵ	−1.92	−2.86	−4.12	−5.62
120°	ϕ	−2.00	−3.40	−5.85	−12.23
	β	54.44	44.95	34.57	20.97
	ϵ	−1.34	−1.67	−3.29	−4.75
150°	ϕ	−1.10	−2.00	−3.20	−6.60
	β	54.21	44.98	34.99	21.98
		0	−0.69	−2.03	−4.15
180°	ϕ	0	0	0	0
	β	54.12	45.00	35.12	22.34
	ϵ₁	+0.61	0	−1.43	−3.91
	ϵ₂	+0.61	0	−1.43	−3.91

Abstract

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Figures (2)

Tables (1)

Equations (31)

Journal of the Optical Society of America