Radiometric Properties of Isothermal, Diffuse Wall Cavity Sources

Raymond J. Chandos; Robert E. Chandos

doi:10.1364/AO.13.002142

Radiometric Properties of Isothermal, Diffuse Wall Cavity Sources

Raymond J. Chandos and Robert E. Chandos

Applied Optics
Vol. 13,
Issue 9,
pp. 2142-2152
(1974)
•https://doi.org/10.1364/AO.13.002142

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Raymond J. Chandos and Robert E. Chandos, "Radiometric Properties of Isothermal, Diffuse Wall Cavity Sources," Appl. Opt. 13, 2142-2152 (1974)

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History
- Original Manuscript: January 1, 1971
- Revised Manuscript: May 6, 1974
- Published: September 1, 1974

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Abstract

Total radiant power emission from various diffuse wall cavity sources is calculated without approximation. In addition, a useful radiometric quantity, ∊_O_-_d, the fraction of blackbody power received by a distant viewer, is precisely defined and calculated. Extensive tabulation of numerical results and tutorial background are included. A new method, faster and more accurate than traditional quadrature methods, for the numerical solution of integral equations is described in an appendix. Results are applied to the practical problems of cavity design and analysis.

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Conical Cavities
	∊_o₋_o							∊_o₋_∞
	Ө							Ө
∊	14°	30°	45°	60°	90°	120°	∊	14°	30°	45°	60°	90°	120°
0.9	0.9681	0.9595	0.9509	0.9421	0.9255	0.9119	0.9	0.9869	0.9724	0.9596	0.9477	0.9273	0.9123
0.85	0.9509	0.9376	0.9246	0.9114	0.8868	0.8670	0.85	0.9796	0.9572	0.9376	0.9196	0.8893	0.8675
0.8	0.9326	0.9145	0.8969	0.8793	0.8469	0.8215	0.8	0.9716	0.9408	0.9142	0.8901	0.8503	0.8221
0.7	0.8924	0.8641	0.8370	0.8107	0.7639	0.7287	0.7	0.9534	0.9042	0.8627	0.8263	0.7685	0.7295
0.5	0.7924	0.7406	0.6938	0.6512	0.5821	0.5353	0.5	0.9034	0.8083	0.7345	0.6744	0.5884	0.5364
0.3	0.6467	0.5668	0.5024	0.4498	0.3751	0.3307	0.3	0.8161	0.6577	0.5514	0.4752	0.3811	0.3317
Cylindrical Cavities
	∊_o₋_∞							∊_o₋_∞
	L/r							L/r
∊	1		2	4		8	∊	1		2	4		8
0.9	0.9619		0.9721	0.9747		0.9750	0.9	0.9599		0.9815	0.9940		0.9984
0.85	0.9410		0.9568	0.9609		0.9614	0.85	0.9382		0.9711	0.9906		0.9976
0.8	0.9186		0.9404	0.9463		0.9470	0.8	0.9153		0.9597	0.9869		0.9966
0.7	0.8689		0.9038	0.9141		0.9154	0.7	0.8648		0.9334	0.9779		0.9946
0.5	0.7424		0.8083	0.8329		0.8366	0.5	0.7383		0.8580	0.9496		0.9883
0.3	0.5563		0.6566	0.7095		0.7206	0.3	0.5538		0.7207	0.8837		0.9720
Extended Cone
Ө₁ = 14°						Ө₂ = 28°		S_e = ½L₂
∊						∊_o₋_∞		∊_o₋_∞
0.9						0.9858		0.9999
0.85						0.9782		0.9998
0.8						0.9701		0.9998
0.7						0.9524		0.9996
0.5						0.9082		0.9987
0.3						0.8428		0.9976

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