LEP_RFI_Draft_Appendix_A_and_D.pdf

DRAFT APPENDIX A

TRANSMITTANCE

Scope.

This appendix provides an example for calculating the specific transmittance values as described within the draft performance specification.

Luminous transmittance.

The luminous transmittance of a lens shall be determined by measuring the transmittance at 1 nm intervals from 380 nm to 760 nm. The spectral resolution shall be 1 nm or less.

The sample area on the lens shall be 6-8 mm diameter defined by the design eye point, measured along the forward-look, line of sight. A plot of the weighting factors is shown in FIGURE A-1.

FIGURE A-1. Normalized weighting factors used to determine photopic, scotopic, and P43 transmittance

Photopic, scotopic, and P43 transmittance calculation.

Photopic and scotopic transmittances are calculated using the weighting factors provided in TABLE A-II, based on CIE 1931. The P43 weighting factors in EQUATION A-1 are relative spectral radiance of a P43 digital display indicator from an F-18 cockpit

(measured at 1 nm bandwidth). P43 weighting values are set to zero for wavelengths below 510 nm and above 600 nm. All weighting values are normalized and truncated to

7 digits to the right of the decimal. For demonstration, the measured transmittance from a simple narrow bandpass filter is provided under “Sample” in TABLE A-I and used in the sample calculation EQUATION A-1. Each luminous transmittance such as P43 is determined as a weighted average as shown in EQUATION A-1. Once the luminous

Luminous Transmittance Weighting Factors

0.0

0.2

0.4

0.6

0.8

1.0

400 500 600 700

Wavelength (nm)

N o rm al iz ed W ei g h t

Photopic

Scotopic

P43 transmittance values have been determined, the imbalance between left and right eyes is determined as shown in the example in TABLE A-I. Due to the many variations of sources that are in an aircraft environment, Illuminant E (weighting value equal to 1 from

380 to 760 nm) shall be used as the source for these calculations. This effectively eliminates the illuminant from the calculations thus only the transmittance and the weighting factors are used in EQUATION A-1.

TABLE A-I. Examples of pass or failed transmittance imbalance values

Example of Scotopic and Photopic Passing Sample:

Right eye scotopic 22.5% Left eye scotopic 21.2% difference of 4.5%

22.5 x .10 = 2.25%

22.5-21.2 = 1.3%

(within the allowable difference)

Example of Scotopic and Photopic Failing Sample:

Right eye scotopic 25.6% Left eye scotopic 20.2% difference of 5.4%

25.6 x .10 = 2.56%

25.6-20.2 = 5.4%

(outside the allowable difference )

EQUATION A-1. Weighting average for luminous and P43 transmittance acceptability for multi-wave laser eye protection

TABLE A-II. Luminous and P43 transmittance data

Wavelength (nm) Sample Transmittance

Photopic

Weight

Scotopic

Weight P43 Weight

760 0.0045634 0.000100 0.000000 0.0000000

759 0.0048641 0.000100 0.000000 0.0000000

758 0.0052426 0.000100 0.000000 0.0000000

757 0.0054957 0.000100 0.000000 0.0000000

756 0.0058979 0.000100 0.000000 0.0000000

43* ightSpectralWeP ightSpectralWePT

Tp %38.50

77.4

40.2 Tp

Weight

Scotopic

Weight P43 Weight

755 0.0062076 0.000100 0.000000 0.0000000

754 0.0066779 0.000100 0.000000 0.0000000

753 0.0069905 0.000100 0.000000 0.0000000

752 0.0074754 0.000100 0.000000 0.0000000

751 0.0079324 0.000100 0.000000 0.0000000

750 0.0084112 0.000100 0.000000 0.0000000

749 0.0089053 0.000120 0.000000 0.0000000

748 0.0094443 0.000140 0.000000 0.0000000

747 0.0099067 0.000160 0.000000 0.0000000

746 0.0105462 0.000180 0.000000 0.0000000

745 0.0111212 0.000200 0.000000 0.0000000

744 0.0118052 0.000220 0.000000 0.0000000

743 0.0125016 0.000240 0.000000 0.0000000

742 0.0132799 0.000260 0.000000 0.0000000

741 0.0139946 0.000280 0.000000 0.0000000

740 0.0148171 0.000300 0.000000 0.0000000

739 0.0156026 0.000320 0.000000 0.0000000

738 0.0165400 0.000340 0.000000 0.0000000

737 0.0173793 0.000360 0.000000 0.0000000

736 0.0183410 0.000380 0.000000 0.0000000

735 0.0192917 0.000400 0.000000 0.0000000

734 0.0202311 0.000420 0.000000 0.0000000

733 0.0213690 0.000440 0.000000 0.0000000

732 0.0223835 0.000460 0.000000 0.0000000

731 0.0236020 0.000480 0.000000 0.0000000

730 0.0246881 0.000500 0.000000 0.0000000

729 0.0259624 0.000540 0.000000 0.0000000

728 0.0271886 0.000580 0.000000 0.0000000

727 0.0286301 0.000620 0.000000 0.0000000

726 0.0299318 0.000660 0.000000 0.0000000

725 0.0314865 0.000700 0.000000 0.0000000

724 0.0329433 0.000760 0.000000 0.0000000

723 0.0346075 0.000820 0.000000 0.0000000

722 0.0360613 0.000880 0.000000 0.0000000

721 0.0379486 0.000940 0.000000 0.0000000

720 0.0396811 0.001000 0.000000 0.0000000

719 0.0415884 0.001100 0.000000 0.0000000

718 0.0434225 0.001200 0.000000 0.0000000

717 0.0453889 0.001300 0.000000 0.0000000

Weight

Scotopic

Weight P43 Weight

716 0.0474851 0.001400 0.000000 0.0000000

715 0.0495938 0.001500 0.000000 0.0000000

714 0.0516337 0.001620 0.000000 0.0000000

713 0.0537436 0.001740 0.000000 0.0000000

712 0.0560907 0.001860 0.000000 0.0000000

711 0.0584025 0.001980 0.000000 0.0000000

710 0.0607604 0.002100 0.000000 0.0000000

709 0.0632772 0.002260 0.000002 0.0000000

708 0.0657331 0.002420 0.000004 0.0000000

707 0.0684993 0.002580 0.000006 0.0000000

706 0.0712234 0.002740 0.000008 0.0000000

705 0.0740954 0.002900 0.000010 0.0000000

704 0.0765466 0.003140 0.000012 0.0000000

703 0.0801294 0.003380 0.000014 0.0000000

702 0.0826340 0.003620 0.000016 0.0000000

701 0.0866053 0.003860 0.000018 0.0000000

700 0.0891698 0.004100 0.000020 0.0000000

699 0.0929582 0.004420 0.000022 0.0000000

698 0.0960492 0.004740 0.000024 0.0000000

697 0.0999742 0.005060 0.000026 0.0000000

696 0.1033441 0.005380 0.000028 0.0000000

695 0.1071532 0.005700 0.000030 0.0000000

694 0.1105648 0.006200 0.000032 0.0000000

693 0.1143581 0.006700 0.000034 0.0000000

692 0.1180541 0.007200 0.000036 0.0000000

691 0.1224685 0.007700 0.000038 0.0000000

690 0.1261588 0.008200 0.000040 0.0000000

689 0.1304906 0.008940 0.000042 0.0000000

688 0.1343206 0.009680 0.000044 0.0000000

687 0.1391869 0.010420 0.000046 0.0000000

686 0.1430595 0.011160 0.000048 0.0000000

685 0.1482473 0.011900 0.000050 0.0000000

684 0.1520255 0.012920 0.000054 0.0000000

683 0.1576041 0.013940 0.000058 0.0000000

682 0.1618425 0.014960 0.000062 0.0000000

681 0.1668828 0.015980 0.000066 0.0000000

680 0.1720272 0.017000 0.000070 0.0000000

679 0.1769973 0.018240 0.000076 0.0000000

678 0.1822936 0.019480 0.000082 0.0000000

Weight

Scotopic

Weight P43 Weight

677 0.1873664 0.020720 0.000088 0.0000000

676 0.1923948 0.021960 0.000094 0.0000000

675 0.1981077 0.023200 0.000100 0.0000000

674 0.2031215 0.024960 0.000110 0.0000000

673 0.2089155 0.026720 0.000120 0.0000000

672 0.2134281 0.028480 0.000130 0.0000000

671 0.2195881 0.030240 0.000140 0.0000000

670 0.2246401 0.032000 0.000150 0.0000000

669 0.2301933 0.034520 0.000162 0.0000000

668 0.2357757 0.037040 0.000174 0.0000000

667 0.2414981 0.039560 0.000186 0.0000000

666 0.2475058 0.042080 0.000198 0.0000000

665 0.2532664 0.044600 0.000210 0.0000000

664 0.2590774 0.047880 0.000230 0.0000000

663 0.2653212 0.051160 0.000250 0.0000000

662 0.2711981 0.054440 0.000270 0.0000000

661 0.2773442 0.057720 0.000290 0.0000000

660 0.2836409 0.061000 0.000310 0.0000000

659 0.2894635 0.065120 0.000340 0.0000000

658 0.2960520 0.069240 0.000370 0.0000000

657 0.3016266 0.073360 0.000400 0.0000000

656 0.3078596 0.077480 0.000430 0.0000000

655 0.3140004 0.081600 0.000460 0.0000000

654 0.3206420 0.086680 0.000504 0.0000000

653 0.3265551 0.091760 0.000548 0.0000000

652 0.3328111 0.096840 0.000592 0.0000000

651 0.3395091 0.101920 0.000636 0.0000000

650 0.3453870 0.107000 0.000680 0.0000000

649 0.3517290 0.113240 0.000746 0.0000000

648 0.3581304 0.119480 0.000812 0.0000000

647 0.3643041 0.125720 0.000878 0.0000000

646 0.3710966 0.131960 0.000944 0.0000000

645 0.3774410 0.138200 0.001010 0.0000000

644 0.3840469 0.145560 0.001108 0.0000000

643 0.3904951 0.152920 0.001206 0.0000000

642 0.3970916 0.160280 0.001304 0.0000000

641 0.4036957 0.167640 0.001402 0.0000000

640 0.4104105 0.175000 0.001500 0.0000000

639 0.4168422 0.183400 0.001648 0.0000000

Weight

Scotopic

Weight P43 Weight

638 0.4235753 0.191800 0.001796 0.0000000

637 0.4301761 0.200200 0.001944 0.0000000

636 0.4363995 0.208600 0.002092 0.0000000

635 0.4424794 0.217000 0.002240 0.0000000

634 0.4488190 0.226600 0.002460 0.0000000

633 0.4552803 0.236200 0.002680 0.0000000

632 0.4612820 0.245800 0.002900 0.0000000

631 0.4669007 0.255400 0.003120 0.0000000

630 0.4735488 0.265000 0.003340 0.0000000

629 0.4797872 0.276200 0.003666 0.0000000

628 0.4856050 0.287400 0.003992 0.0000000

627 0.4913561 0.298600 0.004318 0.0000000

626 0.4971751 0.309800 0.004644 0.0000000

625 0.5032751 0.321000 0.004970 0.0000000

624 0.5089998 0.333000 0.005450 0.0000000

623 0.5150946 0.345000 0.005930 0.0000000

622 0.5207322 0.357000 0.006410 0.0000000

621 0.5266685 0.369000 0.006890 0.0000000

620 0.5324243 0.381000 0.007370 0.0000000

619 0.5383455 0.393040 0.008072 0.0000000

618 0.5439039 0.405080 0.008774 0.0000000

617 0.5498211 0.417120 0.009476 0.0000000

616 0.5550455 0.429160 0.010178 0.0000000

615 0.5605846 0.441200 0.010880 0.0000000

614 0.5659778 0.453560 0.011890 0.0000000

613 0.5712233 0.465920 0.012900 0.0000000

612 0.5768807 0.478280 0.013910 0.0000000

611 0.5823202 0.490640 0.014920 0.0000000

610 0.5875205 0.503000 0.015930 0.0000000

609 0.5925184 0.515760 0.017368 0.0000000

608 0.5976953 0.528520 0.018806 0.0000000

607 0.6026003 0.541280 0.020244 0.0000000

606 0.6077155 0.554040 0.021682 0.0000000

605 0.6127667 0.566800 0.023120 0.0000000

604 0.6181166 0.579640 0.025146 0.0000000

603 0.6227710 0.592480 0.027172 0.0000000

602 0.6267777 0.605320 0.029198 0.0000000

601 0.6323055 0.618160 0.031224 0.0000000

600 0.6365126 0.631000 0.033250 0.0000226

Weight

Scotopic

Weight P43 Weight

599 0.6400873 0.643780 0.035980 0.0000168

598 0.6448113 0.656560 0.038710 0.0000155

597 0.6486330 0.669340 0.041440 0.0000173

596 0.6526067 0.682120 0.044170 0.0000209

595 0.6562781 0.694900 0.046900 0.0000269

594 0.6603669 0.707320 0.050620 0.0000236

593 0.6636508 0.719740 0.054340 0.0000232

592 0.6673451 0.732160 0.058060 0.0000264

591 0.6708783 0.744580 0.061780 0.0000335

590 0.6749950 0.757000 0.065500 0.0000337

589 0.6782543 0.768860 0.070380 0.0000349

588 0.6813049 0.780720 0.075260 0.0000258

587 0.6846800 0.792580 0.080140 0.0000263

586 0.6894834 0.804440 0.085020 0.0000319

585 0.6918890 0.816300 0.089900 0.0000359

584 0.6946653 0.827040 0.096160 0.0000394

583 0.6990907 0.837780 0.102420 0.0000395

582 0.7014778 0.848520 0.108680 0.0000360

581 0.7053011 0.859260 0.114940 0.0000467

580 0.7070447 0.870000 0.121200 0.0000466

579 0.7103223 0.879080 0.129000 0.0000462

578 0.7131502 0.888160 0.136800 0.0000511

577 0.7158971 0.897240 0.144600 0.0000523

576 0.7186148 0.906320 0.152400 0.0000576

575 0.7202169 0.915400 0.160200 0.0000640

574 0.7227135 0.922720 0.169680 0.0000774

573 0.7245468 0.930040 0.179160 0.0000667

572 0.7261558 0.937360 0.188640 0.0000758

571 0.7282421 0.944680 0.198120 0.0000906

570 0.7293687 0.952000 0.207600 0.0001059

569 0.7308671 0.957320 0.218860 0.0001125

568 0.7322352 0.962640 0.230120 0.0001102

567 0.7334998 0.967960 0.241380 0.0002062

566 0.7339564 0.973280 0.252640 0.0004671

565 0.7355200 0.978600 0.263900 0.0011371

564 0.7359564 0.981880 0.276880 0.0020478

563 0.7374016 0.985160 0.289860 0.0028812

562 0.7377837 0.988440 0.302840 0.0044169

561 0.7384271 0.991720 0.315820 0.0069938

Weight

Scotopic

Weight P43 Weight

560 0.7394349 0.995000 0.328800 0.0100905

559 0.7396670 0.996040 0.343340 0.0133274

558 0.7402863 0.997080 0.357880 0.0156782

557 0.7406642 0.998120 0.372420 0.0209701

556 0.7409743 0.999160 0.386960 0.0283033

555 0.7405758 1.000200 0.401500 0.0334408

554 0.7404381 0.999160 0.417360 0.0359984

553 0.7401238 0.998120 0.433220 0.0378445

552 0.7387785 0.997080 0.449080 0.0591692

551 0.7387024 0.996040 0.464940 0.1671358

550 0.7368552 0.995000 0.480800 0.4075250

549 0.7351062 0.992060 0.497520 0.5745028

548 0.7341752 0.989120 0.514240 0.4518202

547 0.7315027 0.986180 0.530960 0.2609823

546 0.7296509 0.983240 0.547680 0.3756373

545 0.7272916 0.980300 0.564400 0.9610110

544 0.7244019 0.975040 0.581460 1.0000000

543 0.7219944 0.969780 0.598520 0.1904861

542 0.7188087 0.964520 0.615580 0.0468371

541 0.7155104 0.959260 0.632640 0.0260903

540 0.7117675 0.954000 0.649700 0.0136217

539 0.7079885 0.946180 0.666400 0.0066941

538 0.7040633 0.938360 0.683100 0.0037404

537 0.7001467 0.930540 0.699800 0.0019443

536 0.6955721 0.922720 0.716500 0.0011227

535 0.6920016 0.914900 0.733200 0.0006454

534 0.6871253 0.904320 0.748760 0.0004385

533 0.6825890 0.893740 0.764320 0.0002911

532 0.6775383 0.883160 0.779880 0.0002137

531 0.6719901 0.872580 0.795440 0.0001765

530 0.6671587 0.862000 0.811000 0.0001505

529 0.6616490 0.848240 0.824720 0.0001306

528 0.6552724 0.834480 0.838440 0.0001177

527 0.6498433 0.820720 0.852160 0.0001163

526 0.6435148 0.806960 0.865880 0.0001123

525 0.6371466 0.793200 0.879600 0.0001064

524 0.6295567 0.776560 0.890720 0.0001055

523 0.6215696 0.759920 0.901840 0.0001008

522 0.6154121 0.743280 0.912960 0.0000906

Weight

Scotopic

Weight P43 Weight

521 0.6077465 0.726640 0.924080 0.0000849

520 0.6006279 0.710000 0.935200 0.0000927

519 0.5923581 0.689640 0.943160 0.0000969

518 0.5853917 0.669280 0.951120 0.0001014

517 0.5759042 0.648920 0.959080 0.0000850

516 0.5705370 0.628560 0.967040 0.0000658

515 0.5627406 0.608200 0.975000 0.0000662

514 0.5558642 0.587160 0.979320 0.0000618

513 0.5489237 0.566120 0.983640 0.0000661

512 0.5422217 0.545080 0.987960 0.0000624

511 0.5340859 0.524040 0.992280 0.0000532

510 0.5292814 0.503000 0.996600 0.0000552

509 0.5231747 0.483860 0.996960 0.0000000

508 0.5169300 0.464720 0.997320 0.0000000

507 0.5109200 0.445580 0.997680 0.0000000

506 0.5050712 0.426440 0.998040 0.0000000

505 0.4987675 0.407300 0.998400 0.0000000

504 0.4949269 0.390440 0.995060 0.0000000

503 0.4898120 0.373580 0.991720 0.0000000

502 0.4857566 0.356720 0.988380 0.0000000

501 0.4807618 0.339860 0.985040 0.0000000

500 0.4774772 0.323000 0.981700 0.0000000

499 0.4746800 0.310120 0.975180 0.0000000

498 0.4718076 0.297240 0.968660 0.0000000

497 0.4693772 0.284360 0.962140 0.0000000

496 0.4671182 0.271480 0.955620 0.0000000

495 0.4656487 0.258600 0.949100 0.0000000

494 0.4646406 0.248480 0.940140 0.0000000

493 0.4635605 0.238360 0.931180 0.0000000

492 0.4629511 0.228240 0.922220 0.0000000

491 0.4623039 0.218120 0.913260 0.0000000

490 0.4615719 0.208000 0.904300 0.0000000

489 0.4608716 0.200260 0.893620 0.0000000

488 0.4606114 0.192520 0.882940 0.0000000

487 0.4591555 0.184780 0.872260 0.0000000

486 0.4581900 0.177040 0.861580 0.0000000

485 0.4566925 0.169300 0.850900 0.0000000

484 0.4540714 0.163240 0.839320 0.0000000

483 0.4505102 0.157180 0.827740 0.0000000

Weight

Scotopic

Weight P43 Weight

482 0.4474078 0.151120 0.816160 0.0000000

481 0.4427960 0.145060 0.804580 0.0000000

480 0.4369475 0.139000 0.793000 0.0000000

479 0.4276185 0.133720 0.781140 0.0000000

478 0.4219831 0.128440 0.769280 0.0000000

477 0.4117802 0.123160 0.757420 0.0000000

476 0.3984552 0.117880 0.745560 0.0000000

475 0.3897172 0.112600 0.733700 0.0000000

474 0.3765013 0.108280 0.722080 0.0000000

473 0.3620764 0.103960 0.710460 0.0000000

472 0.3427234 0.099640 0.698840 0.0000000

471 0.3283655 0.095320 0.687220 0.0000000

470 0.3103339 0.091000 0.675600 0.0000000

469 0.2874127 0.087580 0.664580 0.0000000

468 0.2709510 0.084160 0.653560 0.0000000

467 0.2513895 0.080740 0.642540 0.0000000

466 0.2235386 0.077320 0.631520 0.0000000

465 0.2077710 0.073900 0.620500 0.0000000

464 0.1885931 0.071120 0.609840 0.0000000

463 0.1609945 0.068340 0.599180 0.0000000

462 0.1464016 0.065560 0.588520 0.0000000

461 0.1272041 0.062780 0.577860 0.0000000

460 0.1046588 0.060000 0.567200 0.0000000

459 0.0929027 0.057600 0.556340 0.0000000

458 0.0786093 0.055200 0.545480 0.0000000

457 0.0606797 0.052800 0.534620 0.0000000

456 0.0527718 0.050400 0.523760 0.0000000

455 0.0416121 0.048000 0.512900 0.0000000

454 0.0305703 0.046000 0.501320 0.0000000

453 0.0255846 0.044000 0.489740 0.0000000

452 0.0183133 0.042000 0.478160 0.0000000

451 0.0149140 0.040000 0.466580 0.0000000

450 0.0100853 0.038000 0.455000 0.0000000

449 0.0079409 0.036360 0.442620 0.0000000

448 0.0057352 0.034720 0.430240 0.0000000

447 0.0038784 0.033080 0.417860 0.0000000

446 0.0031139 0.031440 0.405480 0.0000000

445 0.0021075 0.029800 0.393100 0.0000000

444 0.0016652 0.028440 0.380100 0.0000000

Weight

Scotopic

Weight P43 Weight

443 0.0012392 0.027080 0.367100 0.0000000

442 0.0008864 0.025720 0.354100 0.0000000

441 0.0007346 0.024360 0.341100 0.0000000

440 0.0005470 0.023000 0.328100 0.0000000

439 0.0004840 0.021760 0.314980 0.0000000

438 0.0003646 0.020520 0.301860 0.0000000

437 0.0003196 0.019280 0.288740 0.0000000

436 0.0002630 0.018040 0.275620 0.0000000

435 0.0002232 0.016800 0.262500 0.0000000

434 0.0001721 0.015760 0.249960 0.0000000

433 0.0001644 0.014720 0.237420 0.0000000

432 0.0001320 0.013680 0.224880 0.0000000

431 0.0001225 0.012640 0.212340 0.0000000

430 0.0000921 0.011600 0.199800 0.0000000

429 0.0000781 0.010740 0.188560 0.0000000

428 0.0000698 0.009880 0.177320 0.0000000

427 0.0000486 0.009020 0.166080 0.0000000

426 0.0000473 0.008160 0.154840 0.0000000

425 0.0000344 0.007300 0.143600 0.0000000

424 0.0000386 0.006640 0.134200 0.0000000

423 0.0000281 0.005980 0.124800 0.0000000

422 0.0000256 0.005320 0.115400 0.0000000

421 0.0000227 0.004660 0.106000 0.0000000

420 0.0000199 0.004000 0.096600 0.0000000

419 0.0000192 0.003640 0.089360 0.0000000

418 0.0000149 0.003280 0.082120 0.0000000

417 0.0000129 0.002920 0.074880 0.0000000

416 0.0000123 0.002560 0.067640 0.0000000

415 0.0000202 0.002200 0.060400 0.0000000

414 0.0000084 0.002000 0.055288 0.0000000

413 0.0000138 0.001800 0.050176 0.0000000

412 0.0000114 0.001600 0.045064 0.0000000

411 0.0000134 0.001400 0.039952 0.0000000

410 0.0000076 0.001200 0.034840 0.0000000

409 0.0000050 0.001080 0.031572 0.0000000

408 0.0000144 0.000960 0.028304 0.0000000

407 0.0000102 0.000840 0.025036 0.0000000

406 0.0000090 0.000720 0.021768 0.0000000

405 0.0000100 0.000600 0.018500 0.0000000

Weight

Scotopic

Weight P43 Weight

404 0.0000088 0.000560 0.016658 0.0000000

403 0.0000060 0.000520 0.014816 0.0000000

402 0.0000061 0.000480 0.012974 0.0000000

401 0.0000088 0.000440 0.011132 0.0000000

400 0.0000111 0.000400 0.009290 0.0000000

399 0.0000063 0.000360 0.008338 0.0000000

398 0.0000116 0.000320 0.007386 0.0000000

397 0.0000052 0.000280 0.006434 0.0000000

396 0.0000068 0.000240 0.005482 0.0000000

395 0.0000091 0.000200 0.004530 0.0000000

394 0.0000072 0.000180 0.004066 0.0000000

393 0.0000066 0.000160 0.003602 0.0000000

392 0.0000070 0.000140 0.003138 0.0000000

391 0.0000029 0.000120 0.002674 0.0000000

390 0.0000077 0.000100 0.002210 0.0000000

389 0.0000094 0.000100 0.001990 0.0000000

388 0.0000102 0.000100 0.001770 0.0000000

387 0.0000078 0.000100 0.001550 0.0000000

386 0.0000073 0.000100 0.001330 0.0000000

385 0.0000011 0.000100 0.001110 0.0000000

384 0.0000074 0.000080 0.001006 0.0000000

383 0.0000028 0.000060 0.000902 0.0000000

382 0.0000048 0.000040 0.000798 0.0000000

381 0.0000113 0.000020 0.000694 0.0000000

380 0.0000112 0.000000 0.000590 0.0000000

(PROPOSED) APPENDIX D.

CHROMATICITY COORDINATE CALCULATION.

D.1 Scope.

This appendix discusses how to calculate the chromaticity coordinates. The method here is defined in CIE Calorimetry technical report 15:2004.

D.2 Color matching functions.

Table D-1 shows the color matching functions at 1 nm intervals as well as sample data.

Table D-1 nm x bar y bar z bar T T*x bar T*y bar T*z bar

380 0.001368 0.000039 0.00645 1.63 0.002 0.000 0.010

381 0.001502 4.28E-05 0.007083 1.70 0.003 0.000 0.012

382 0.001642 4.69E-05 0.007746 2.19 0.004 0.000 0.017

383 0.001802 5.16E-05 0.008501 0.85 0.002 0.000 0.007

384 0.001996 5.72E-05 0.009415 0.62 0.001 0.000 0.006

385 0.002236 0.000064 0.01055 1.41 0.003 0.000 0.015

386 0.002535 7.23E-05 0.011966 1.27 0.003 0.000 0.015

387 0.002893 8.22E-05 0.013656 1.19 0.003 0.000 0.016

388 0.003301 9.35E-05 0.015588 1.17 0.004 0.000 0.018

389 0.003753 0.000106 0.01773 2.64 0.010 0.000 0.047

390 0.004243 0.00012 0.02005 3.23 0.014 0.000 0.065

391 0.004762 0.000135 0.022511 3.36 0.016 0.000 0.076

392 0.00533 0.000152 0.025203 4.68 0.025 0.001 0.118

393 0.005979 0.00017 0.02828 5.39 0.032 0.001 0.152

394 0.006741 0.000192 0.031897 6.18 0.042 0.001 0.197

395 0.00765 0.000217 0.03621 6.85 0.052 0.001 0.248

396 0.008751 0.000247 0.041438 7.49 0.066 0.002 0.310

397 0.010029 0.000281 0.047504 8.26 0.083 0.002 0.393

398 0.011422 0.000319 0.05412 9.29 0.106 0.003 0.503

399 0.012869 0.000357 0.060998 9.48 0.122 0.003 0.578

400 0.01431 0.000396 0.06785 10.07 0.144 0.004 0.684

401 0.015704 0.000434 0.074486 10.10 0.159 0.004 0.752

402 0.017147 0.000473 0.081362 9.96 0.171 0.005 0.810

403 0.018781 0.000518 0.089154 10.32 0.194 0.005 0.920

404 0.020748 0.000572 0.098541 10.48 0.217 0.006 1.033

405 0.02319 0.00064 0.1102 10.44 0.242 0.007 1.150

406 0.026207 0.000725 0.124613 10.72 0.281 0.008 1.335

407 0.029783 0.000826 0.141702 10.68 0.318 0.009 1.514

408 0.033881 0.000941 0.161304 10.63 0.360 0.010 1.715

409 0.038468 0.00107 0.183257 10.45 0.402 0.011 1.915

410 0.04351 0.00121 0.2074 10.44 0.454 0.013 2.165

411 0.048996 0.001362 0.233692 10.55 0.517 0.014 2.465

412 0.055023 0.001531 0.262611 10.36 0.570 0.016 2.720

413 0.061719 0.00172 0.294775 10.45 0.645 0.018 3.082

414 0.069212 0.001935 0.330799 10.53 0.729 0.020 3.483

415 0.07763 0.00218 0.3713 10.57 0.821 0.023 3.926

416 0.086958 0.002455 0.416209 10.57 0.919 0.026 4.399

417 0.097177 0.002764 0.465464 10.59 1.029 0.029 4.928

418 0.108406 0.003118 0.519695 10.58 1.147 0.033 5.500

419 0.120767 0.003526 0.57953 10.55 1.274 0.037 6.111

420 0.13438 0.004 0.6456 10.63 1.429 0.043 6.865

421 0.149358 0.004546 0.718484 10.59 1.582 0.048 7.610

422 0.165396 0.005159 0.796713 10.73 1.776 0.055 8.553

423 0.181983 0.005829 0.877846 10.75 1.956 0.063 9.437

424 0.198611 0.006546 0.959439 10.82 2.149 0.071 10.382

425 0.21477 0.0073 1.03905 10.84 2.328 0.079 11.264

426 0.230187 0.008087 1.115367 10.80 2.486 0.087 12.046

427 0.24488 0.008909 1.188497 10.79 2.643 0.096 12.828

428 0.258777 0.009768 1.258123 10.93 2.828 0.107 13.751

429 0.271808 0.010664 1.32393 10.86 2.951 0.116 14.373

430 0.2839 0.0116 1.3856 10.96 3.112 0.127 15.190

431 0.294944 0.012573 1.442635 10.97 3.236 0.138 15.829

432 0.304897 0.013583 1.494804 11.03 3.364 0.150 16.495

433 0.313787 0.01463 1.54219 11.17 3.506 0.163 17.233

434 0.321645 0.015715 1.584881 11.09 3.568 0.174 17.583

435 0.3285 0.01684 1.62296 11.14 3.660 0.188 18.085

436 0.334351 0.018007 1.656405 11.17 3.733 0.201 18.495

437 0.33921 0.019215 1.685296 11.31 3.835 0.217 19.055

438 0.343121 0.020454 1.709875 11.35 3.895 0.232 19.412

439 0.34613 0.021718 1.730382 11.39 3.943 0.247 19.711

440 0.34828 0.023 1.74706 11.45 3.989 0.263 20.011

441 0.3496 0.024295 1.760045 11.45 4.004 0.278 20.156

442 0.350147 0.02561 1.769623 11.57 4.053 0.296 20.483

443 0.350013 0.026959 1.776264 11.66 4.081 0.314 20.710

444 0.349287 0.028351 1.780433 11.76 4.106 0.333 20.929

445 0.34806 0.0298 1.7826 11.76 4.092 0.350 20.960

446 0.346373 0.031311 1.782968 11.89 4.120 0.372 21.208

447 0.344262 0.032884 1.7817 11.95 4.113 0.393 21.286

448 0.341809 0.034521 1.779198 12.09 4.131 0.417 21.505

449 0.339094 0.036226 1.775867 12.14 4.118 0.440 21.567

450 0.3362 0.038 1.77211 12.16 4.087 0.462 21.541

451 0.333198 0.039847 1.768259 12.24 4.079 0.488 21.646

452 0.330041 0.041768 1.764039 12.22 4.033 0.510 21.554

453 0.326636 0.043766 1.758944 12.29 4.013 0.538 21.611

454 0.322887 0.045843 1.752466 12.37 3.993 0.567 21.672

455 0.3187 0.048 1.7441 12.40 3.951 0.595 21.624

456 0.314025 0.050244 1.73356 12.43 3.904 0.625 21.550

457 0.308884 0.052573 1.720858 12.44 3.844 0.654 21.415

458 0.30329 0.054981 1.705937 12.57 3.813 0.691 21.446

459 0.297258 0.057459 1.688737 12.51 3.718 0.719 21.122

460 0.2908 0.06 1.6692 12.53 3.644 0.752 20.918

461 0.28397 0.062602 1.647529 12.55 3.563 0.785 20.670

462 0.276721 0.065278 1.623413 12.47 3.449 0.814 20.236

463 0.268918 0.068042 1.596022 12.46 3.351 0.848 19.888

464 0.260423 0.070911 1.564528 12.48 3.249 0.885 19.521

465 0.2511 0.0739 1.5281 12.49 3.137 0.923 19.088

466 0.240848 0.077016 1.486111 12.51 3.014 0.964 18.596

467 0.229851 0.080266 1.439522 12.51 2.875 1.004 18.004

468 0.218407 0.083667 1.38988 12.38 2.704 1.036 17.209

469 0.206812 0.087233 1.338736 12.31 2.547 1.074 16.485

470 0.19536 0.09098 1.28764 12.36 2.415 1.125 15.919

471 0.184214 0.094918 1.237422 12.33 2.272 1.171 15.261

472 0.173327 0.099046 1.187824 12.29 2.131 1.218 14.602

473 0.162688 0.103367 1.138761 12.29 2.000 1.271 13.999

474 0.152283 0.107885 1.090148 12.23 1.862 1.319 13.331

475 0.1421 0.1126 1.0419 12.37 1.757 1.392 12.884

476 0.132179 0.117532 0.994198 12.19 1.611 1.433 12.120

477 0.12257 0.122674 0.947347 12.27 1.503 1.505 11.620

478 0.113275 0.127993 0.901453 12.27 1.390 1.571 11.063

479 0.104298 0.133453 0.856619 12.27 1.280 1.637 10.509

480 0.09564 0.13902 0.81295 12.33 1.179 1.714 10.024

481 0.0873 0.144676 0.770517 12.30 1.073 1.779 9.475

482 0.079308 0.150469 0.729445 12.36 0.980 1.860 9.015

483 0.071718 0.156462 0.689914 12.31 0.883 1.926 8.493

484 0.064581 0.162718 0.652105 12.39 0.800 2.016 8.078

485 0.05795 0.1693 0.6162 12.35 0.716 2.092 7.613

486 0.051862 0.176243 0.582329 12.32 0.639 2.171 7.172

487 0.046282 0.183558 0.550416 12.37 0.573 2.271 6.810

488 0.041151 0.191274 0.520338 12.35 0.508 2.362 6.425

489 0.036413 0.199418 0.491967 12.33 0.449 2.458 6.064

490 0.03201 0.20802 0.46518 12.38 0.396 2.576 5.759

491 0.027917 0.21712 0.439925 12.34 0.344 2.679 5.428

492 0.024144 0.226735 0.416184 12.38 0.299 2.806 5.151

493 0.020687 0.236857 0.393882 12.34 0.255 2.923 4.861

494 0.01754 0.247481 0.372946 12.42 0.218 3.073 4.631

495 0.0147 0.2586 0.3533 12.42 0.183 3.212 4.388

496 0.012162 0.270185 0.334858 12.44 0.151 3.362 4.167

497 0.00992 0.282294 0.317552 12.45 0.123 3.514 3.953

498 0.007967 0.295051 0.301338 12.42 0.099 3.666 3.744

499 0.006296 0.308578 0.286169 12.45 0.078 3.843 3.564

500 0.0049 0.323 0.272 12.43 0.061 4.016 3.382

501 0.003777 0.338402 0.258817 12.40 0.047 4.197 3.210

502 0.002945 0.354686 0.246484 12.44 0.037 4.413 3.067

503 0.002425 0.371699 0.234772 12.38 0.030 4.601 2.906

504 0.002236 0.389288 0.223453 12.38 0.028 4.819 2.766

505 0.0024 0.4073 0.2123 12.41 0.030 5.053 2.634

506 0.002926 0.42563 0.201169 12.45 0.036 5.301 2.505

507 0.003837 0.44431 0.19012 12.47 0.048 5.539 2.370

508 0.005175 0.463394 0.179225 12.46 0.064 5.772 2.233

509 0.006982 0.48294 0.168561 12.53 0.087 6.052 2.112

510 0.0093 0.503 0.1582 12.53 0.117 6.304 1.983

511 0.01215 0.523569 0.148138 12.59 0.153 6.591 1.865

512 0.015536 0.544512 0.138376 12.58 0.195 6.850 1.741

513 0.019478 0.56569 0.128994 12.62 0.246 7.137 1.627

514 0.023993 0.586965 0.120075 12.69 0.304 7.448 1.524

515 0.0291 0.6082 0.1117 12.71 0.370 7.728 1.419

516 0.034815 0.629346 0.103905 12.72 0.443 8.008 1.322

517 0.04112 0.650307 0.096668 12.78 0.526 8.313 1.236

518 0.047985 0.670875 0.089983 12.81 0.615 8.597 1.153

519 0.055379 0.690842 0.083845 12.85 0.712 8.876 1.077

520 0.06327 0.71 0.07825 12.93 0.818 9.181 1.012

521 0.071635 0.728185 0.073209 12.94 0.927 9.421 0.947

522 0.080462 0.745464 0.068678 13.04 1.050 9.724 0.896

523 0.08974 0.761969 0.064568 13.12 1.178 10.000 0.847

524 0.099457 0.777837 0.060788 13.17 1.310 10.245 0.801

525 0.1096 0.7932 0.05725 13.15 1.441 10.432 0.753

526 0.120167 0.80811 0.053904 13.25 1.592 10.704 0.714

527 0.131115 0.822496 0.050747 13.28 1.741 10.924 0.674

528 0.142368 0.836307 0.047753 13.30 1.893 11.120 0.635

529 0.153854 0.849492 0.044899 13.32 2.050 11.318 0.598

530 0.1655 0.862 0.04216 13.34 2.209 11.503 0.563

531 0.177257 0.873811 0.039507 13.35 2.366 11.665 0.527

532 0.18914 0.884962 0.036936 13.30 2.516 11.774 0.491

533 0.201169 0.895494 0.034458 13.41 2.698 12.010 0.462

534 0.213366 0.905443 0.032089 13.39 2.856 12.121 0.430

535 0.22575 0.91485 0.02984 13.39 3.023 12.252 0.400

536 0.238321 0.923735 0.027712 13.47 3.211 12.446 0.373

537 0.251067 0.932092 0.025694 13.45 3.376 12.533 0.345

538 0.263992 0.939923 0.023787 13.51 3.567 12.700 0.321

539 0.277102 0.947225 0.021989 13.51 3.742 12.793 0.297

540 0.2904 0.954 0.0203 13.52 3.927 12.900 0.274

541 0.303891 0.960256 0.018718 13.52 4.109 12.984 0.253

542 0.317573 0.966007 0.01724 13.57 4.308 13.104 0.234

543 0.331438 0.971261 0.015864 13.52 4.482 13.134 0.215

544 0.345483 0.976023 0.014585 13.57 4.687 13.242 0.198

545 0.3597 0.9803 0.0134 13.55 4.875 13.286 0.182

546 0.374084 0.984092 0.012307 13.56 5.072 13.342 0.167

547 0.38864 0.987418 0.011302 13.54 5.261 13.366 0.153

548 0.403378 0.990313 0.010378 13.54 5.462 13.409 0.141

549 0.418312 0.992812 0.009529 13.57 5.676 13.472 0.129

550 0.43345 0.99495 0.00875 13.54 5.870 13.473 0.118

551 0.448795 0.996711 0.008035 13.53 6.072 13.484 0.109

552 0.464336 0.998098 0.007382 13.57 6.301 13.545 0.100

553 0.480064 0.999112 0.006785 13.61 6.535 13.600 0.092

554 0.495971 0.999748 0.006243 13.63 6.760 13.626 0.085

555 0.51205 1 0.00575 13.67 7.000 13.670 0.079

556 0.528296 0.999857 0.005304 13.70 7.239 13.701 0.073

557 0.544692 0.999305 0.0049 13.77 7.498 13.757 0.067

558 0.561209 0.998326 0.004534 13.79 7.741 13.771 0.063

559 0.577822 0.996899 0.004202 13.80 7.976 13.760 0.058

560 0.5945 0.995 0.0039 13.82 8.217 13.753 0.054

561 0.611221 0.992601 0.003623 13.89 8.490 13.788 0.050

562 0.627976 0.989743 0.003371 13.91 8.735 13.767 0.047

563 0.64476 0.986444 0.003141 13.96 9.002 13.772 0.044

564 0.66157 0.982724 0.002935 13.94 9.221 13.697 0.041

565 0.6784 0.9786 0.00275 14.01 9.506 13.713 0.039

566 0.695239 0.974084 0.002585 14.03 9.752 13.663 0.036

567 0.712059 0.969171 0.002439 14.02 9.986 13.592 0.034

568 0.728828 0.963857 0.002309 14.05 10.242 13.545 0.032

569 0.745519 0.958135 0.002197 14.06 10.479 13.468 0.031

570 0.7621 0.952 0.0021 14.04 10.698 13.364 0.029

571 0.778543 0.94545 0.002018 14.07 10.957 13.305 0.028

572 0.794826 0.938499 0.001948 14.11 11.211 13.238 0.027

573 0.810926 0.931163 0.00189 14.02 11.373 13.059 0.027

574 0.826825 0.923458 0.001841 14.06 11.626 12.985 0.026

575 0.8425 0.9154 0.0018 14.06 11.847 12.872 0.025

576 0.857933 0.907006 0.001766 14.06 12.061 12.751 0.025

577 0.873082 0.898277 0.001738 13.98 12.205 12.557 0.024

578 0.887894 0.889205 0.001711 13.87 12.311 12.329 0.024

579 0.902318 0.879782 0.001683 13.88 12.527 12.214 0.023

580 0.9163 0.87 0.00165 13.80 12.649 12.010 0.023

581 0.9298 0.859861 0.00161 13.80 12.830 11.865 0.022

582 0.942798 0.849392 0.001564 13.69 12.909 11.630 0.021

583 0.955278 0.838622 0.001514 13.59 12.987 11.401 0.021

584 0.967218 0.827581 0.001459 13.51 13.070 11.183 0.020

585 0.9786 0.8163 0.0014 13.46 13.174 10.989 0.019

586 0.989386 0.804795 0.001337 13.37 13.227 10.759 0.018

587 0.999549 0.793082 0.00127 13.32 13.318 10.567 0.017

588 1.009089 0.781192 0.001205 13.21 13.327 10.317 0.016

589 1.018006 0.769155 0.001147 13.18 13.417 10.138 0.015

590 1.0263 0.757 0.0011 13.13 13.476 9.940 0.014

591 1.033983 0.744754 0.001069 13.11 13.552 9.761 0.014

592 1.040986 0.732422 0.001049 13.03 13.563 9.543 0.014

593 1.047188 0.720004 0.001036 13.01 13.623 9.367 0.013

594 1.052467 0.707497 0.001021 12.94 13.619 9.155 0.013

595 1.0567 0.6949 0.001 12.88 13.615 8.953 0.013

596 1.059794 0.682219 0.000969 12.81 13.571 8.736 0.012

597 1.061799 0.669472 0.00093 12.79 13.577 8.560 0.012

598 1.062807 0.656674 0.000887 12.73 13.534 8.362 0.011

599 1.06291 0.643845 0.000843 12.68 13.472 8.161 0.011

600 1.0622 0.631 0.0008 12.63 13.413 7.968 0.010

601 1.060735 0.618156 0.000761 12.59 13.351 7.780 0.010

602 1.058444 0.605314 0.000724 12.52 13.251 7.578 0.009

603 1.055224 0.592476 0.000686 12.52 13.209 7.417 0.009

604 1.050977 0.579638 0.000645 12.47 13.105 7.228 0.008

605 1.0456 0.5668 0.0006 12.43 12.999 7.046 0.007

606 1.039037 0.553961 0.000548 12.43 12.911 6.883 0.007

607 1.031361 0.541137 0.000492 12.41 12.803 6.717 0.006

608 1.022666 0.528353 0.000435 12.42 12.704 6.564 0.005

609 1.013048 0.515632 0.000384 12.44 12.603 6.415 0.005

610 1.0026 0.503 0.00034 12.44 12.469 6.256 0.004

611 0.991368 0.490469 0.000307 12.53 12.420 6.145 0.004

612 0.979331 0.47803 0.000283 12.52 12.260 5.984 0.004

613 0.966492 0.465678 0.000265 12.54 12.124 5.842 0.003

614 0.952848 0.453403 0.000252 12.64 12.041 5.730 0.003

615 0.9384 0.4412 0.00024 12.71 11.929 5.608 0.003

616 0.923194 0.42908 0.00023 12.76 11.783 5.477 0.003

617 0.907244 0.417036 0.000221 12.83 11.644 5.353 0.003

618 0.890502 0.405032 0.000212 12.90 11.483 5.223 0.003

619 0.87292 0.393032 0.000202 13.02 11.363 5.116 0.003

620 0.85445 0.381 0.00019 13.12 11.208 4.998 0.002

621 0.835084 0.368918 0.000174 13.19 11.017 4.867 0.002

622 0.814946 0.356827 0.000156 13.36 10.885 4.766 0.002

623 0.794186 0.344777 0.000136 13.43 10.663 4.629 0.002

624 0.772954 0.332818 0.000117 13.55 10.474 4.510 0.002

625 0.7514 0.321 0.0001 13.68 10.281 4.392 0.001

626 0.729584 0.309338 8.61E-05 13.76 10.042 4.258 0.001

627 0.707589 0.29785 7.46E-05 13.91 9.844 4.144 0.001

628 0.685602 0.286594 0.000065 14.05 9.634 4.027 0.001

629 0.66381 0.275625 5.69E-05 14.22 9.440 3.920 0.001

630 0.6424 0.265 5.00E-05 14.41 9.258 3.819 0.001

631 0.621515 0.254763 4.42E-05 14.46 8.990 3.685 0.001

632 0.601114 0.24489 3.95E-05 14.57 8.760 3.569 0.001

633 0.581105 0.235334 3.57E-05 14.79 8.592 3.480 0.001

634 0.561398 0.226053 3.26E-05 14.87 8.351 3.362 0.000

635 0.5419 0.217 0.00003 15.04 8.149 3.263 0.000

636 0.5226 0.208162 2.77E-05 15.16 7.925 3.157 0.000

637 0.503546 0.199549 2.56E-05 15.20 7.654 3.033 0.000

638 0.484744 0.191155 2.36E-05 15.30 7.418 2.925 0.000

639 0.466194 0.182974 2.18E-05 15.38 7.170 2.814 0.000

640 0.4479 0.175 0.00002 15.41 6.902 2.697 0.000

641 0.429861 0.167224 1.81E-05 15.51 6.667 2.593 0.000

642 0.412098 0.159646 1.62E-05 15.50 6.387 2.474 0.000

643 0.394644 0.152278 1.42E-05 15.55 6.136 2.367 0.000

644 0.377533 0.145126 1.21E-05 15.51 5.855 2.251 0.000

645 0.3608 0.1382 0.00001 15.46 5.578 2.137 0.000

646 0.344456 0.1315 7.73E-06 15.43 5.316 2.029 0.000

647 0.328517 0.125025 5.4E-06 15.42 5.064 1.927 0.000

648 0.313019 0.118779 3.2E-06 15.29 4.787 1.816 0.000

649 0.298001 0.112769 1.33E-06 15.30 4.560 1.726 0.000

650 0.2835 0.107 0 15.22 4.314 1.628 0.000

651 0.269545 0.101476 0 15.11 4.072 1.533 0.000

652 0.256118 0.096189 0 14.95 3.830 1.438 0.000

653 0.24319 0.091123 0 14.85 3.611 1.353 0.000

654 0.230727 0.086265 0 14.75 3.403 1.272 0.000

655 0.2187 0.0816 0 14.61 3.196 1.192 0.000

656 0.207097 0.077121 0 14.43 2.988 1.113 0.000

657 0.195923 0.072826 0 14.25 2.793 1.038 0.000

658 0.185171 0.06871 0 14.16 2.621 0.973 0.000

659 0.174832 0.06477 0 13.99 2.447 0.906 0.000

660 0.1649 0.061 0 13.82 2.279 0.843 0.000

661 0.155367 0.057396 0 13.69 2.126 0.786 0.000

662 0.14623 0.053955 0 13.51 1.976 0.729 0.000

663 0.13749 0.050674 0 13.36 1.837 0.677 0.000

664 0.129147 0.04755 0 13.19 1.703 0.627 0.000

665 0.1212 0.04458 0 13.01 1.576 0.580 0.000

666 0.11364 0.041759 0 12.84 1.460 0.536 0.000

667 0.106465 0.039085 0 12.69 1.351 0.496 0.000

668 0.09969 0.036564 0 12.52 1.248 0.458 0.000

669 0.093331 0.034201 0 12.42 1.159 0.425 0.000

670 0.0874 0.032 0 12.31 1.076 0.394 0.000

671 0.081901 0.029963 0 12.18 0.998 0.365 0.000

672 0.076804 0.028077 0 12.10 0.929 0.340 0.000

673 0.072077 0.026329 0 12.00 0.865 0.316 0.000

674 0.067687 0.024708 0 11.97 0.810 0.296 0.000

675 0.0636 0.0232 0 11.83 0.752 0.274 0.000

676 0.059807 0.021801 0 11.86 0.710 0.259 0.000

677 0.056282 0.020501 0 11.83 0.666 0.242 0.000

678 0.052971 0.019281 0 11.81 0.626 0.228 0.000

679 0.049819 0.018121 0 11.89 0.593 0.216 0.000

680 0.04677 0.017 0 11.86 0.555 0.202 0.000

681 0.043784 0.015904 0 11.96 0.524 0.190 0.000

682 0.040875 0.014837 0 11.97 0.489 0.178 0.000

683 0.038073 0.013811 0 12.08 0.460 0.167 0.000

684 0.035405 0.012835 0 12.13 0.429 0.156 0.000

685 0.0329 0.01192 0 12.33 0.406 0.147 0.000

686 0.030564 0.011068 0 12.28 0.375 0.136 0.000

687 0.028381 0.010273 0 12.46 0.354 0.128 0.000

688 0.026345 0.009533 0 12.58 0.331 0.120 0.000

689 0.024453 0.008846 0 12.75 0.312 0.113 0.000

690 0.0227 0.00821 0 12.85 0.292 0.105 0.000

691 0.021084 0.007624 0 12.98 0.274 0.099 0.000

692 0.0196 0.007085 0 13.12 0.257 0.093 0.000

693 0.018237 0.006592 0 13.30 0.243 0.088 0.000

694 0.016987 0.006139 0 13.44 0.228 0.082 0.000

695 0.01584 0.005723 0 13.58 0.215 0.078 0.000

696 0.014791 0.005343 0 13.74 0.203 0.073 0.000

697 0.013831 0.004996 0 13.77 0.190 0.069 0.000

698 0.012949 0.004676 0 13.91 0.180 0.065 0.000

699 0.012129 0.00438 0 14.03 0.170 0.061 0.000

700 0.011359 0.004102 0 14.21 0.161 0.058 0.000

701 0.010629 0.003839 0 14.19 0.151 0.054 0.000

702 0.009939 0.003589 0 14.27 0.142 0.051 0.000

703 0.009288 0.003354 0 14.35 0.133 0.048 0.000

704 0.008679 0.003134 0 14.35 0.125 0.045 0.000

705 0.008111 0.002929 0 14.42 0.117 0.042 0.000

706 0.007582 0.002738 0 14.40 0.109 0.039 0.000

707 0.007089 0.00256 0 14.42 0.102 0.037 0.000

708 0.006627 0.002393 0 14.41 0.096 0.034 0.000

709 0.006195 0.002237 0 14.36 0.089 0.032 0.000

710 0.00579 0.002091 0 14.30 0.083 0.030 0.000

711 0.00541 0.001954 0 14.24 0.077 0.028 0.000

712 0.005053 0.001825 0 14.15 0.072 0.026 0.000

713 0.004718 0.001704 0 14.03 0.066 0.024 0.000

714 0.004404 0.00159 0 14.02 0.062 0.022 0.000

715 0.00411 0.001484 0 13.77 0.057 0.020 0.000

716 0.003834 0.001385 0 13.63 0.052 0.019 0.000

717 0.003576 0.001291 0 13.51 0.048 0.017 0.000

718 0.003334 0.001204 0 13.35 0.044 0.016 0.000

719 0.003109 0.001123 0 13.12 0.041 0.015 0.000

720 0.002899 0.001047 0 12.99 0.038 0.014 0.000

721 0.002704 0.000977 0 12.81 0.035 0.013 0.000

722 0.002523 0.000911 0 12.50 0.032 0.011 0.000

723 0.002354 0.00085 0 12.42 0.029 0.011 0.000

724 0.002197 0.000793 0 12.21 0.027 0.010 0.000

725 0.002049 0.00074 0 12.08 0.025 0.009 0.000

726 0.001911 0.00069 0 11.78 0.023 0.008 0.000

727 0.001781 0.000643 0 11.60 0.021 0.007 0.000

728 0.00166 0.0006 0 11.50 0.019 0.007 0.000

729 0.001547 0.000559 0 11.39 0.018 0.006 0.000

730 0.00144 0.00052 0 11.25 0.016 0.006 0.000

731 0.00134 0.000484 0 11.05 0.015 0.005 0.000

732 0.001246 0.00045 0 11.00 0.014 0.005 0.000

733 0.001159 0.000418 0 10.88 0.013 0.005 0.000

734 0.001076 0.000389 0 10.77 0.012 0.004 0.000

735 0.001 0.000361 0 10.75 0.011 0.004 0.000

736 0.000929 0.000335 0 10.73 0.010 0.004 0.000

737 0.000862 0.000311 0 10.68 0.009 0.003 0.000

738 0.000801 0.000289 0 10.69 0.009 0.003 0.000

739 0.000743 0.000269 0 10.65 0.008 0.003 0.000

740 0.00069 0.000249 0 10.72 0.007 0.003 0.000

741 0.000641 0.000231 0 10.75 0.007 0.002 0.000

742 0.000595 0.000215 0 10.76 0.006 0.002 0.000

743 0.000552 0.000199 0 10.91 0.006 0.002 0.000

744 0.000512 0.000185 0 11.02 0.006 0.002 0.000

745 0.000476 0.000172 0 11.13 0.005 0.002 0.000

746 0.000443 0.00016 0 11.29 0.005 0.002 0.000

747 0.000412 0.000149 0 11.52 0.005 0.002 0.000

748 0.000383 0.000138 0 11.72 0.004 0.002 0.000

749 0.000357 0.000129 0 11.93 0.004 0.002 0.000

750 0.000332 0.00012 0 12.29 0.004 0.001 0.000

751 0.00031 0.000112 0 12.51 0.004 0.001 0.000

752 0.000289 0.000104 0 12.94 0.004 0.001 0.000

753 0.00027 9.73E-05 0 13.18 0.004 0.001 0.000

754 0.000252 9.09E-05 0 13.63 0.003 0.001 0.000

755 0.000235 8.48E-05 0 14.09 0.003 0.001 0.000

756 0.000219 7.92E-05 0 14.63 0.003 0.001 0.000

757 0.000205 7.39E-05 0 15.12 0.003 0.001 0.000

758 0.000191 6.89E-05 0 15.61 0.003 0.001 0.000

759 0.000178 6.43E-05 0 16.36 0.003 0.001 0.000

760 0.000166 0.00006 0 17.07 0.003 0.001 0.000

Sum 1410.3 1425.9 1266.5

X, Y, and Z values for this filter are the sums of the last three columns respectively.

X = 1410.3

Y = 1425.9

Z = 1266.5

In accordance with CIE Calorimetry technical report 15:2004 the equations for u’ and v’ are as follows:

𝑢′ = 4𝑋

𝑋 + 15𝑌 + 3𝑍 𝑣′ = 9𝑌

𝑋 + 15𝑌 + 3𝑍 u’ = 0.212 v’ = 0.482

Once the u’ and v’ values are calculated the distance from Illuminant E can be determined using the distance formula.

𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 = √(𝑢′ − 0.210)2 + (𝑣′ − 0.474)2

Distance = 0.008.