Knowledge (XXG)

Lagrange invariant

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250: 86: 230: 291: 212: 33: 142:). For a given optical system, the Lagrange invariant is a constant throughout all space, that is, it is invariant upon 315: 284: 171: 157:
heights and angles of any two rays. For these rays, the optical invariant is a constant throughout all space.
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is a measure of the light propagating through an optical system. It is defined by
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is a generalization of the Lagrange invariant which is formed using the
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is proportional to the throughput of the optical system (related to
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Measure of the light propagating through an optical system
265: 81:{\displaystyle H=n{\overline {u}}y-nu{\overline {y}}} 36: 80: 194: 192: 285: 8: 292: 278: 237:, Newport Corporation, retrieved 9/8/2011 68: 46: 35: 188: 7: 246: 244: 104:height and angle respectively, and 264:. You can help Knowledge (XXG) by 14: 201:Field Guide to Geometrical Optics 248: 1: 199:Greivenkamp, John E. (2004). 73: 51: 332: 243: 203:. SPIE Field Guides vol. 172:Smith-Helmholtz invariant 130:may be used in place of 260:-related article is a 82: 83: 207:. SPIE. p. 28. 34: 228:Optics Fundamentals 177:Abbe sine condition 316:Geometrical optics 233:2016-01-11 at the 116:height and angle. 78: 25:Lagrange invariant 273: 272: 151:optical invariant 76: 54: 323: 294: 287: 280: 252: 245: 238: 225: 219: 218: 196: 137: 133: 129: 122:refractive index 119: 111: 107: 99: 95: 87: 85: 84: 79: 77: 69: 55: 47: 331: 330: 326: 325: 324: 322: 321: 320: 301: 300: 299: 298: 242: 241: 235:Wayback Machine 226: 222: 215: 198: 197: 190: 185: 163: 135: 131: 125: 120:is the ambient 117: 109: 105: 97: 93: 32: 31: 17: 12: 11: 5: 329: 327: 319: 318: 313: 303: 302: 297: 296: 289: 282: 274: 271: 270: 253: 240: 239: 220: 213: 187: 186: 184: 181: 180: 179: 174: 169: 162: 159: 146:and transfer. 90: 89: 75: 72: 67: 64: 61: 58: 53: 50: 45: 42: 39: 15: 13: 10: 9: 6: 4: 3: 2: 328: 317: 314: 312: 309: 308: 306: 295: 290: 288: 283: 281: 276: 275: 269: 267: 263: 259: 254: 251: 247: 236: 232: 229: 224: 221: 216: 214:0-8194-5294-7 210: 206: 202: 195: 193: 189: 182: 178: 175: 173: 170: 168: 165: 164: 160: 158: 156: 152: 147: 145: 141: 128: 123: 115: 103: 70: 65: 62: 59: 56: 48: 43: 40: 37: 30: 29: 28: 26: 22: 311:Optics stubs 266:expanding it 255: 223: 204: 200: 150: 148: 102:marginal ray 91: 24: 18: 305:Categories 183:References 144:refraction 114:chief ray 74:¯ 60:− 52:¯ 231:Archived 161:See also 112:are the 100:are the 167:Etendue 140:étendue 258:optics 211:  92:where 21:optics 256:This 262:stub 209:ISBN 205:FG01 149:The 108:and 96:and 23:the 155:ray 19:In 307:: 191:^ 134:. 293:e 286:t 279:v 268:. 217:. 136:Ж 132:H 127:Ж 118:n 110:ū 106:ȳ 98:u 94:y 88:, 71:y 66:u 63:n 57:y 49:u 44:n 41:= 38:H

Index

optics
marginal ray
chief ray
refractive index
Ж
étendue
refraction
ray
Etendue
Smith-Helmholtz invariant
Abbe sine condition


ISBN
0-8194-5294-7
Optics Fundamentals
Archived
Wayback Machine
Stub icon
optics
stub
expanding it
v
t
e
Categories
Optics stubs
Geometrical optics

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