Envelope mirror: a new concept of focusing reflecting optics

Rosa Weigand; Jose Manuel Guerra

doi:10.1364/AO.29.004608

Applied Optics
Vol. 29,
Issue 31,
pp. 4608-4613
(1990)
•https://doi.org/10.1364/AO.29.004608

Envelope mirror: a new concept of focusing reflecting optics

Rosa Weigand and Jose Manuel Guerra

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Rosa Weigand and Jose Manuel Guerra, "Envelope mirror: a new concept of focusing reflecting optics," Appl. Opt. 29, 4608-4613 (1990)

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Abstract

A mathematical method of finding a surface that focuses a finite size source has been developed. We show its use solving two particularly simple cases in which we compare the energy efficiency of the new surface to the classical elliptical cavities. In the examples given, the new designs are frequently advantageous.

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Equations (14)

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^{r 1}/_a	.01	.05	.1	.15	.2	.3

^{r t}/_{r 1}

.1	.06	.06	.06	.06	.07	.08
.1	.28	.21	.15	.18	.10	.07

.3	.18	.18	.18	.18	.18	.22
.3	.44	.33	.31	.39	.22	.20

.5	.31	.30	.29	.28	.29
.5	.54	.44	.43	.49	.31

.8	.56	.54	.51	.48	.46
.8	.69	.63	.61	.61	.45

1.0	.78	.75	.71	.67	.64
1.0	.80	.75	.72	.67	.55

1.2	.87	.83	.79	.75
1.2	.85	.81	.77	.72

^{r 1}/_a	.01	.05	.1	.15	.2	.3

^{r t}/_{r 1}

.1	.06	.06	.06	.06	.07	.07
.1	.12	.35	.34	.29	.26	.23

.3	.19	.20	.19	.19	.19	.19
.3	.30	.60	.44	.40	.38	.34

.5	.32	.32	.32	.31	.30	.30
.5	.45	.64	.53	.48	.48	.43

.8	.55	.54	.50	.49	.49	.48
.8	.65	.72	.68	.59	.59	.50

1.0	.71	.70	.68	.63	.64	.63
1.0	.74	.77	.74	.66	.64	.53

1.2	.81	.79	.75	.71	.71	.68
1.2	.80	.81	.78	.73	.69	.57

^{r 1}/_a	.01	.05	.1	.15	.2	.3

^{r t}/_{r 1}

.1	.07	.07	.07	.07	.07	.07
.1	.10	.14	.23	.23	.22	.25

.3	.22	.22	.21	.21	.27	.27
.3	.26	.33	.50	.50	.43	.39

.5	.34	.33	.34	.33	.32	.31
.5	.40	.45	.59	.57	.49	.44

.8	.52	.48	.51	.50	.49	.43
.8	.54	.66	.68	.64	.57	.49

1.0	.69	.62	.63	.63	.64	.59
1.0	.62	.76	.72	.66	.61	.52

1.2	.78	.67	.70	.71	.71	.64
1.2	.70	.83	.76	.71	.66	.54

^{r 1}/_a	.01	.05	.1	.15	.2	.3	.6	.9

^{r t}/_{r 1}

.1	.14	.14	.14	.14	.14	.14
.1	.13	.13	.13	.13	.13	.14	.13	.13

.3	.40	.41	.39	.39	.38	.37
.3	.41	.39	.39	.40	.39	.39	.36	.35

.5	.64	.63	.60	.58	.56	.50
.5	.64	.63	.62	.61	.59	.56	.52

.8	.84	.81	.76	.71	.67	.60
.8	.82	.81	.78	.75	.71	.67

1.0	.90	.86	.79	.73	.69	.59
1.0	.88	.85	.81	.77	.74	.69

1.2	.93	.88	.80	.74	.68	.59
1.2	.94	.89	.83	.79	.76	.69

^{r 1}/_a	.01	.05	.1	.15	.2	.3	.6	.9

^{r t}/_{r 1}

.1	.14	.14	.14	.14	.14	.14
.1	.18	.17	.17	.16	.15	.15	.15	.15

.3	.41	.41	.40	.40	.39	.39
.3	.44	.42	.40	.41	.40	.41	.37	.38

.5	.67	.65	.63	.63	.61	.57
.5	.66	.64	.62	.62	.62	.62	.57	.49

.8	.80	.79	.75	.75	.71	.63
.8	.79	.77	.76	.74	.74	.71	.62

1.0	.84	.82	.80	.77	.73	.63
1.0	.84	.82	.81	.79	.77	.71

1.2	.89	.86	.83	.78	.72	.63
1.2	.88	.87	.85	.82	.79	.73

Abstract

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Figures (3)

Tables (7)

Equations (14)

Applied Optics