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Superposition and Spectra. Physics 11. Multiple waves. We now understand the very basics of waves but reality usually does not involve one just one wave. Multiple radio stations transmitting into the room Waves on the surface of a pool as people are jumping in - PowerPoint PPT Presentation

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  • Superposition and Spectra Physics 11

  • Multiple wavesWe now understand the very basics of waves but reality usually does not involve one just one wave.Multiple radio stations transmitting into the roomWaves on the surface of a pool as people are jumping inWhite light (it is a composite of waves in the EM spectrum)So what doe these waves look like?

  • SuperpositionSuperimpose two waves together.Add them togetherFor each value of x, add the value of each wave to get a resultant

  • Real Waves are SuperpositionsThis means that real waves have a number of waves adding together to make them up.Each part having a different wavelength

    The wavelengths that are used to construct a complex wave are referred to as a Spectrum (plural, Spectra)

  • Spectrum GraphsReal waves are composed of many componentsTo keep track of what wavelengths are used, a simple chart is often made.Consider the emission spectrum of HydrogenIt tells us what wavelengths are present, indicating the wavelength qualitatively with the color of lightHydrogen

  • Intensity SpectraSpectra plots can include information about amplitude at each wavelengthConsider these plots made for common white light sources

    Chart2

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    62.159139.45215.4378.9944.54

    60.506137.93813.7248.0174.322

    62.259135.85214.4378.3944.14

    61.706133.53814.5247.8174.322

    61.559132.05215.0378.5944.54

    73.906136.33820.5248.6174.522

    63.859132.45222.4379.7945.14

    60.306126.93817.12410.0175.122

    63.259130.45216.6379.7944.94

    61.706121.93814.3248.8174.922

    59.559125.25212.8378.5944.74

    61.806122.33812.1248.0174.522

    62.259118.65214.2378.5944.74

    57.706117.73812.1248.0174.522

    59.959120.85212.0378.1944.54

    58.006117.73810.7247.4174.722

    58.259117.25212.0377.5944.34

    58.706113.93812.7247.4174.322

    60.259116.25214.2378.3944.34

    56.606116.33813.5248.0174.122

    solar 1

    incandecent bulb

    flouresent blub

    lcd white

    crt white

    Wavelength (nm)

    Relitive intensity (arb units)

    Various WL sources

    Chart1

    Chart1

    00000

    00000

    -3.841-1.548-4.963-1.0060.34

    -4.594-2.062-5.476-1.5830.122

    -4.041-1.348-4.563-1.206-0.46

    -3.394-1.662-3.876-1.1830.122

    0.059-0.948-0.163-0.4060.34

    -0.194-0.662-0.476-0.383-0.078

    3.4590.8523.2370.1940.14

    5.0060.7385.1240.817-0.078

    5.2592.2525.4371.594-0.06

    4.1062.1384.1241.6170.122

    5.4593.2525.2372.3940.14

    4.6063.5384.1242.417-0.078

    5.4594.2524.4372.794-0.06

    4.6064.1383.7242.8170.122

    5.9595.0525.0373.194-0.66

    5.9064.7385.3243.017-0.278

    6.6595.2526.2373.9940.14

    5.4064.5384.3243.817-0.078

    6.3595.0525.4373.7940.14

    5.8064.3384.5244.017-0.478

    6.1594.8525.6374.194-0.06

    4.8064.3384.5243.8170.122

    6.8595.0526.2374.5940.14

    11.2064.7384.3243.8170.122

    20.1595.6524.6374.3940.14

    25.8065.5384.7244.217-0.078

    31.5596.4526.4374.594-0.26

    33.0066.5386.3244.617-0.078

    35.1597.0527.2374.994-0.06

    33.6066.5386.1244.4170.122

    33.4597.2526.4374.7940.34

    32.8066.7384.9244.2170.122

    36.0597.8526.0374.394-0.06

    34.7067.1386.5244.017-0.078

    37.9597.0528.8374.594-0.46

    38.5066.7387.5244.417-0.078

    42.5597.6528.6374.994-0.06

    43.0067.7388.7244.617-0.278

    46.0598.65211.2375.5940.14

    43.7068.1389.9245.417-0.078

    45.3598.65210.0375.9940.34

    46.8068.33810.1246.017-0.078

    45.7599.05212.2376.594-0.06

    42.0068.5389.7246.0170.122

    41.6599.2529.4376.1940.14

    39.5068.1388.3246.017-0.278

    39.2598.6529.6375.994-0.06

    41.7068.53810.1246.4170.122

    42.7599.45212.4376.9940.34

    39.1068.93810.7246.817-0.678

    41.4599.45210.0376.794-0.06

    48.1068.9389.7246.8170.122

    53.6599.65211.8377.594-0.06

    55.9069.53812.1247.817-0.078

    55.65910.05212.8377.994-0.26

    52.0069.53811.5247.617-0.078

    49.45910.05211.6377.394-0.06

    50.4069.5389.9247.017-0.278

    53.25910.05210.4376.994-0.06

    54.2069.5388.9246.2170.122

    60.95910.4529.4376.7940.34

    61.40610.3387.9246.417-0.078

    62.55910.8529.4376.3940.14

    60.4069.9388.7246.017-0.078

    65.85910.05210.0376.194-0.26

    69.00610.13811.9245.8170.322

    69.75910.85218.4376.3940.14

    73.70610.93824.1245.817-0.078

    82.25911.85226.4376.394-0.06

    81.40610.93820.1246.2170.122

    88.45910.85217.2376.794-0.06

    80.30610.53813.5246.8170.122

    83.15911.25211.6376.594-0.26

    84.00611.5388.7245.617-0.278

    84.35911.8528.6376.194-0.46

    90.40611.9389.5246.017-0.478

    87.35913.05213.2377.194-0.06

    85.60612.53811.9246.6170.122

    95.75912.05212.2377.194-0.06

    104.00612.73813.9247.417-0.278

    97.75913.45215.0378.194-0.26

    93.00612.73812.5247.8170.322

    97.65913.65215.4378.394-0.06

    96.30613.13813.9248.217-0.278

    98.85913.25211.8378.3940.14

    92.20612.7389.7247.8170.122

    90.45912.85210.2377.5940.34

    89.40612.1388.7247.217-0.078

    94.05912.6529.4377.594-0.06

    86.60612.53810.9247.217-0.278

    83.15913.45212.6377.9940.34

    92.30613.53811.3247.6170.122

    97.95914.65215.4378.3940.14

    89.00614.93813.9248.017-0.078

    100.45915.45211.8377.9940.14

    106.40614.1388.9247.217-0.078

    109.25914.4529.0377.5940.14

    114.40614.1388.5247.017-0.278

    112.45915.2529.4377.194-0.06

    141.50614.73813.7247.617-0.278

    133.55915.85215.8378.794-0.06

    142.50614.73811.7248.2170.122

    146.95915.25211.6378.1940.14

    135.50614.3389.5247.4170.122

    126.45914.6529.4376.9940.14

    126.00614.3389.3247.017-0.078

    125.65915.25212.2377.794-0.46

    129.90614.53811.5247.6170.122

    142.85915.05211.0377.7940.14

    145.80615.13810.7247.017-0.078

    139.95915.85212.0377.994-0.06

    125.30615.33811.3248.017-0.078

    119.85916.25213.6378.594-0.06

    109.80616.93813.1247.817-0.078

    107.75917.85215.6378.394-0.06

    102.80616.73814.3248.217-0.078

    102.15916.85214.0378.394-0.26

    112.70617.33812.3247.6170.122

    138.55919.45215.8377.9940.14

    150.50619.53816.5248.6170.122

    160.55921.05218.0379.1940.34

    150.50620.33817.3248.8170.122

    144.65920.45216.0378.9940.14

    145.50619.73813.3248.217-0.278

    159.55920.85212.8377.9940.34

    160.10620.33811.7247.017-0.278

    155.25920.85211.0377.394-0.06

    162.90619.5389.9246.417-0.078

    163.05920.05212.2376.5940.14

    162.50620.13811.3246.817-0.478

    163.55920.85211.8376.9940.14

    179.40620.33810.1246.217-0.078

    205.75920.65210.4376.5940.34

    211.70620.5388.9246.217-0.278

    212.65922.25212.0376.394-0.06

    218.30621.93813.1246.4170.122

    229.65923.25213.4376.9940.34

    246.70624.13814.9246.817-0.078

    227.45924.25216.4377.394-0.06

    213.10623.13813.1247.017-0.478

    189.55924.45214.0377.394-0.06

    156.10623.73814.3247.417-0.078

    125.95925.25216.8378.194-0.26

    124.70625.13815.7248.017-0.278

    158.65925.65217.0378.594-0.26

    204.30625.33817.5248.4170.122

    243.75927.05221.2379.394-0.26

    252.80625.73818.7249.0170.322

    265.15926.05217.6378.9940.14

    244.60626.13814.5247.6170.122

    206.75927.65215.4377.594-0.26

    166.50627.53816.3247.017-0.078

    164.75928.65220.6377.994-0.26

    196.30628.53820.7247.6170.122

    252.75929.05220.6378.194-0.26

    297.60628.53819.1248.017-0.278

    328.65928.85219.2378.394-0.46

    355.40629.73818.1248.217-0.278

    356.75930.45218.2378.394-0.26

    367.30629.93816.7248.2170.322

    380.75931.05217.8377.994-0.26

    380.80631.13817.7247.817-0.278

    393.05932.85219.6377.994-0.06

    401.00631.73818.7247.817-0.278

    415.25931.65219.2377.9940.14

    412.00630.93817.7246.617-0.078

    430.85932.05220.2376.994-0.06

    423.50634.13819.3246.617-0.078

    420.55934.85220.8376.794-0.26

    405.90634.13823.5247.0170.122

    423.15934.85234.0377.9940.14

    442.30635.93886.3248.6170.522

    427.75937.852212.83710.5941.34

    417.00637.538291.92412.4172.122

    436.25938.652192.23713.7943.54

    441.70637.73860.12413.0174.722

    438.95940.25240.63711.7946.54

    424.40640.33829.52410.6179.322

    433.65940.85227.23710.39411.94

    447.00640.33829.3249.81715.322

    460.65940.45232.03710.19417.74

    461.30640.73836.5249.01719.922

    479.95942.45242.0379.19422.14

    508.20643.33837.5248.81725.122

    534.25945.25232.8379.39427.74

    512.50643.93827.7249.41727.522

    500.85944.45227.0379.79427.74

    468.20644.73825.7249.21729.122

    464.65947.05228.6379.39430.94

    510.60647.93832.9249.41734.722

    530.55947.65230.8379.99434.74

    586.30649.13831.72410.21735.922

    565.05949.85234.83710.99438.54

    565.90649.33830.92410.61739.122

    615.95954.45248.03712.39446.54

    576.00652.73839.92413.61745.322

    556.05951.85233.43713.19441.94

    593.80653.33830.52411.81742.122

    589.45953.05234.03711.99443.54

    588.20653.53830.92411.81744.122

    587.25955.05233.03712.39446.54

    589.20654.53833.92412.61747.922

    634.45958.45240.03713.79451.94

    593.50656.33835.72413.61752.722

    650.65960.25238.23714.19455.34

    648.10661.53837.52414.01754.922

    673.15961.25237.23714.99458.74

    623.70661.93837.32415.81760.522

    606.95963.05236.63716.99458.94

    621.50662.53839.72417.81763.322

    619.25963.25240.23719.79466.54

    648.30667.33843.72421.01770.122

    639.35966.05244.03722.59467.94

    639.70666.13844.32423.41772.922

    630.75967.85247.23725.59476.94

    645.60665.93847.72427.61779.522

    683.45970.45247.23729.19479.94

    702.20669.73845.92430.21777.122

    748.25977.05265.83735.99494.14

    685.10671.93852.92437.21784.522

    677.75971.85252.43737.99485.14

    690.10679.53880.12448.417104.322

    675.65981.25276.23752.194102.14

    661.90674.13850.12444.21790.922

    681.25976.85253.83745.59496.74

    700.40679.13850.92446.01796.122

    710.75977.05252.43747.79499.94

    709.80681.53853.12451.817100.522

    715.05981.65261.83758.194112.14

    667.30677.13853.92455.017100.122

    720.55985.65257.03760.194110.54

    725.10684.13854.92461.617111.122

    749.95988.25261.43765.394115.94

    732.20689.73862.32467.417119.922

    699.05987.05263.63768.394124.94

    701.80687.93860.12466.017119.722

    725.45991.25262.03768.594122.14

    711.10690.73860.12470.017120.122

    703.25994.85262.03773.994128.54

    696.80694.33860.52475